Saltar al contenido principal
Elsevier

Libros en Matemáticas

  • Introduction to Dynamic Programming

    International Series in Modern Applied Mathematics and Computer Science, Volume 1
    • 1 Edición
    • Leon Cooper + 1 más
    • E. Y. Rodin
    • Inglés
    Introduction to Dynamic Programming introduces the reader to dynamic programming and presents the underlying mathematical ideas and results, as well as the application of these ideas to various problem areas. A large number of solved practical problems and computational examples are included to clarify the way dynamic programming is used to solve problems. A consistent notation is applied throughout the text for the expression of quantities such as state variables and decision variables. This monograph consists of 10 chapters and opens with an overview of dynamic programming as a particular approach to optimization, along with the basic components of any mathematical optimization model. The following chapters discuss the application of dynamic programming to variational problems; functional equations and the principle of optimality; reduction of state dimensionality and approximations; and stochastic processes and the calculus of variations. The final chapter looks at several actual applications of dynamic programming to practical problems, such as animal feedlot optimization and optimal scheduling of excess cash investment. This book should be suitable for self-study or for use as a text in a one-semester course on dynamic programming at the senior or first-year, graduate level for students of mathematics, statistics, operations research, economics, business, industrial engineering, or other engineering fields.

  • Non-Linear Differential Equations

    International Series of Monographs in Pure and Applied Mathematics
    • 1 Edición
    • G. Sansone + 1 más
    • I. N. Sneddon + 2 más
    • Inglés
    International Series of Monographs in Pure and Applied Mathematics, Volume 67: Non-Linear Differential Equations, Revised Edition focuses on the analysis of the phase portrait of two-dimensional autonomous systems; qualitative methods used in finding periodic solutions in periodic systems; and study of asymptotic properties. The book first discusses general theorems about solutions of differential systems. Periodic solutions, autonomous systems, and integral curves are explained. The text explains the singularities of Briot-Bouquet theory. The selection takes a look at plane autonomous systems. Topics include limiting sets, plane cycles, isolated singular points, index, and the torus as phase space. The text also examines autonomous plane systems with perturbations and autonomous and non-autonomous systems with one degree of freedom. The book also tackles linear systems. Reducible systems, periodic solutions, and linear periodic systems are considered. The book is a vital source of information for readers interested in applied mathematics.

  • A Course of Higher Mathematics

    International Series of Monographs In: Pure and Applied Mathematics, Volume 3, Part 1
    • 1 Edición
    • V. I. Smirnov
    • I. N. Sneddon + 2 más
    • Inglés
    International Series of Monographs in Pure and Applied Mathematics, Volume 59: A Course of Higher Mathematics, III/I: Linear Algebra focuses on algebraic methods. The book first ponders on the properties of determinants and solution of systems of equations. The text then gives emphasis to linear transformations and quadratic forms. Topics include coordinate transformations in three-dimensional space; covariant and contravariant affine vectors; unitary and orthogonal transformations; and basic matrix calculus. The selection also focuses on basic theory of groups and linear representations of groups. Representation of a group by linear transformations; linear representations of the unitary group in two variables; linear representations of the rotation group; and Abelian groups and representations of the first degree are discussed. Other considerations include integration over groups, Lorentz transformations, permutations, and classes and normal subgroups. The text is a vital source of information for students, mathematicians, and physicists.

  • Programming—ALGOL

    • 1 Edición
    • D. J. Malcolme-Lawes
    • Inglés
    Programming—ALGOL is an instructional book on how to write programs using the Algol language. The book starts with an introduction to computers. The Algol language, which runs on instructions typed or punched on strips of paper by the flexowriter, is explained. The text also compares the instructions used in Algol with words in the English language. The command instructions, calculation of numbers, and printing the output are discussed. After a brief introduction into what a program is, the book gives other commands to be added and improve the program. A sample program for repeating calculations is shown with different variables inputted to the program, and then arranging these for the output. The text then introduces the label and the block parts of the program, especially in procedures when several similar sets of commands are required. After the Algol syntax is explained, the different techniques used in programming are considered. In getting a problem into a form and making translation to Algol easier, the flow diagram is introduced. The process of actually running the program by compiling it, using data and program tapes, then begins. The text makes for interesting reading for computer programming instructors, students of introductory programing, and for readers who are interested in the history of computer programming.

  • The Process of Learning Mathematics

    The Commonwealth and International Library: Mathematical Topics
    • 1 Edición
    • L. R. Chapman
    • Inglés
    The Process of Learning Mathematics is a collection of essays from a two-term course of intercollegiate lectures for students of B.Ed. degree. This collection starts with two different views on the nature of mathematics. One essay discusses the role of intuition in understanding mathematics, while another paper expounds on the role of logic. This book then discusses the generalization, structure, and approximations used in teaching mathematics, and emphasizes the problems of applied mathematics and technology pertaining to equations of motion, mathematical representation of physical phenomena, or in relations such as conservation of matter. One paper reviews Piaget's studies on the development of children's thinking process, noting that teachers should consider the level of thinking the pupil uses when designing his teaching material. Another essay deals with how the existing knowledge in a student can affect new kinds of learning through assimilation and accommodation. This book then describes the use of symbols and "reflective intelligence," addressing reflective activities, communication, and the contribution of symbols. This text then discusses computer-assisted education and several mathematical teaching or learning experiments. This compendium can prove useful for mathematics majors, educators, school administrators, and math teachers.

  • Mathematics with Understanding

    The Commonwealth and International Library: Mathematical Topics, Volume 1
    • 1 Edición
    • Harold Fletcher + 1 más
    • C. Plumtpon
    • Inglés
    Mathematical Topics: Mathematics with Understanding, Book 1 focuses on the approaches in teaching mathematics. The book first offers information on the aims of modern approaches in teaching mathematics. The text discusses the language of sets. Set notation, empty, disjoint, and universal sets; union and intersection of two sets; Venn diagrams; and complements of sets are clarified. The selection also reviews relations and sorting, including equivalence relations, equivalent sets, partitioning sets, and number games. Recording of numbers and use of different bases are also discussed. Topics include multiplication in different bases, decomposition, equal addition, bicimals, and operations using bases other than 10. The text also focuses on open sentences, number facts, and pictorial representations. The number line, collection of data, bar charts, block graphs, pi graphs, tally charts, and line graphs are discussed. The book also takes a look at the processes of addition, subtraction, multiplication, and division. The selection is a reliable reference for readers interested in mathematics.

  • Elements of Probability Theory

    • 1 Edición
    • L. Z. Rumshiskii
    • Inglés
    Elements of Probability Theory focuses on the basic ideas and methods of the theory of probability. The book first discusses events and probabilities, including the classical meaning of probability, fundamental properties of probabilities, and the primary rule for the multiplication of probabilities. The text also touches on random variables and probability distributions. Topics include discrete and random variables; functions of random variables; and binomial distributions. The selection also discusses the numerical characteristics of probability distributions; limit theorems and estimates of the mean; and the law of large numbers. The text also describes linear correlation, including conditional expectations and their properties, coefficient of correlation, and best linear approximation to the regression function. The book presents tables that show the values of the normal probability integral, Poisson distribution, and values of the normal probability density. The text is a good source of data for readers and students interested in probability theory.

  • Arithmetic Applied Mathematics

    International Series in Nonlinear Mathematics: Theory, Methods and Applications
    • 1 Edición
    • Donald Greenspan
    • V. Lakshmikantham + 1 más
    • Inglés
    Arithmetic Applied Mathematics deals with the deterministic theories of particle mechanics using a computer approach. Models of classical physical phenomena are formulated from both Newtonian and special relativistic mechanics with the aid only of arithmetic. The computational power of modern digital computers is highlighted, along with simple models of complex physical phenomena and solvable dynamical equations for both linear and nonlinear behavior. This book is comprised of nine chapters and opens by describing an experiment with gravity, followed by a discussion on the two basic types of forces that are important in classical physical modeling: long range forces and short range forces. Gravitation and molecular attraction and repulsion are considered, along with the basic concepts of position, velocity, and acceleration. The reader is then introduced to the N-body problem; conservative and non-conservative models of complex physical phenomena; foundational concepts of special relativity; and arithmetic special relativistic mechanics in one space dimension and three space dimensions. The final chapter is devoted to Lorentz invariant computations, with emphasis on the arithmetic modeling and analysis of a harmonic oscillator. This monograph will be of interest to mathematicians, physicists, and computer scientists.

  • Newnes Amateur Radio Computing Handbook

    • 1 Edición
    • Joe Pritchard
    • Inglés
    Newnes Amateur Radio Computing Handbook discusses the applications of computers in amateur radio and short wave listening. The book is comprised of 16 chapters that deal with the various concerns in amateur radio computing. The coverage of the text includes equipment, such as packet slow scan television (SSTV) and facsimile (FAX), packet radio, and commercial decoding equipment. The book also discusses the software used in amateur radio, such as satellite and geographical software, logkeeping and QSL software, and software for electronic design. The text will be of great use to individuals who want to utilize their computer in short wave radio listening.

  • A Collection of Problems on a Course of Mathematical Analysis

    International Series of Monographs in Pure and Applied Mathematics
    • 1 Edición
    • G. N. Berman
    • I. N. Sneddon + 2 más
    • Inglés
    A Collection of Problems on a Course of Mathematical Analysis is a collection of systematically selected problems and exercises (with corresponding solutions) in mathematical analysis. A common instruction precedes a group of problems of the same type. Problems with a physics content are preceded by the necessary physical laws. In the case of more or less difficult problems, hints are given in the answers. This book is comprised of 15 chapters and begins with an overview of functions and methods of specifying them; notation for and classification of functions; elementary investigation of functions; and trigonometric and inverse trigonometric functions. The following chapters deal with limits and tests for their existence; differential calculus, with emphasis on derivatives and differentials; functions and curves; definite and indefinite integrals; and methods of evaluating definite integrals. Some applications of the integral in geometry, statics, and physics are also considered; along with functions of several variables; multiple integrals and iterated integration; line and surface integrals; and differential equations. The final chapter is devoted to trigonometric series. This monograph is intended for students studying mathematical analysis within the framework of a technical college course.

  • A Collection of Problems in Analytical Geometry

    Three-Dimensional Analytical Geometry
    • 1 Edición
    • D. V. Kletenik
    • W. J. Langford + 1 más
    • Inglés
    A Collection of Problems in Analytical Geometry, Part II: Three-Dimensional Analytical Geometry is a collection of problems dealing with analytical geometry in the field of theoretical mechanics. The book discusses rectangular Cartesian coordinates in three-dimensional space and the division of an interval in a given ratio. The sample questions concern problems dealing with isosceles triangles, vertices, and center of gravity of equal masses. The book defines the concept of a vector and then lists problems concerning the triangle law and the scalar product of two vectors. Other problems focus on the equations of a surface and a curve and on questions related to the intersection of three surfaces. The text lists other problems such as the equation of a plane, the direction-vector of a straight line, and miscellaneous problems pertaining to the equations of a plane, of a straight line, and of a sphere in a direction-vector. The selection is useful for professors in analytical geometry and for other courses in physic-mathematics and general engineering.

  • Students' Guide to Programming Languages

    • 1 Edición
    • Malcolm Bull
    • Inglés
    Students' Guide to Programming Languages introduces programming languages, emphasizing why they are needed, how they are defined and constructed, and where and how they are used. With greater access to computers at work, at school, and in the home, more and more people are now able to write programs. Only a small number of these people recognize the underlying features of the programming languages they are using, and even fewer people appreciate the features that are common to most programming languages. This book demonstrates how most programming languages are based upon the same concepts and how knowledge of these concepts can benefit the analyst and the programmer. When specifying computer solutions to real problems, the systems analyst and the programmer must be able to stand back from the particular problem in hand and visualize a solution that is independent of the constraints and limitations imposed by the programming language itself. The text helps in achieving these goals. The book as well is suitable for college students following BTEC and City and Guilds courses in computer studies and IT topics, including professional commercial and end-users.

  • BASIC

    Made Simple Computerbooks
    • 1 Edición
    • J. Maynard
    • Inglés

  • Mathematical Analysis

    A Special Course
    • 1 Edición
    • G. Ye. Shilov
    • I.N. Sneddon + 2 más
    • Inglés
    Mathematical Analysis: A Special Course focuses on the study of mathematical analysis. The book first discusses set theory, including operations on sets, countable sets, equivalence of sets, and sets of the power of the continuum. The text also discusses the elements of the theory of metric and normed linear spaces. Topics include convergent sequences and closed sets; theorem of the fixed point; normed linear spaces; and continuous functions and compact spaces. The selection also discusses the calculus of variations; the theory of the integral; and geometry of Hilbert space. The text also covers differentiation and integration, including functions of bounded variation, derivative of a non-decreasing function, differentiation of functions of sets, and the Stieltjes integral. The book also looks at the Fourier transform. Topics include convergence of Fourier series; Laplace transform; Fourier transform in the case of various independent variables; and quasi-analytic classes of functions. The text is a valuable source of data for readers interested in the study of mathematical analysis.

  • Real Time Programming 1981

    Proceedings of the IFAC/IFIP Workshop, Kyoto, Japan, 31 August - 2 September 1981
    • 1 Edición
    • T. Hasegawa
    • Inglés
    Annual Review in Automatic Programming, Volume 11: Real Time Programming 1981 contains the proceedings of the IFAC/IFIP Workshop held in Kyoto, Japan on August 31 - September 2, 1981. Organized into 18 chapters, this book begins with a discussion on advances and trends in distributed control systems. Subsequent chapters explore the application and technology of industrial computers in Japan; on-line system changeover using a virtual machine system; a debugging tool for real time software; and program fall-back method in real time systems. Some other chapters address file design of small real time computer system; development of a distributed operating system kernel for real time applications; and evaluation of pipelined common processor in distributed processing system.

  • Programming in GW-BASIC

    • 1 Edición
    • P. K. McBride
    • Inglés
    Programming in GW-BASIC provides a reference guide on GW-Basic along with a range of extra commands and functions. The book discusses starting a program, program planning and the essentials of GW-Basic, including the most commonly used commands; how data is stored in memory; how a program fits together; and the use of the keyboard and screen in editing. The text also describes graphics and color and the string-handling functions. The principles and concepts of program structures, such as the Paintbox program and chaining, and the use of the Turtle graphics, such as Logo and DRAW, are also considered. The book covers two of the key techniques for handling data in quantity (sorting into order and searching for specific items), statistical analysis, and display program. The text then tackles PEEK and POKE, which examine sections of memory and serve as alternative to PRINT for creating screen displays, and advanced graphics, which enables one to analyze the screen, develop first a double-size print utility, then a sprite designer and some movement routines. The selection is useful to computer programmers and students taking computer courses.

  • Group Representations

    • 1 Edición
    • Volumen 4
    • Gregory Karpilovsky
    • Inglés
    This volume is divided into three parts. Part I provides the foundations of the theory of modular representations. Special attention is drawn to the Brauer-Swan theory and the theory of Brauer characters. A detailed investigation of quadratic, symplectic and symmetric modules is also provided. Part II is devoted entirely to the Green theory: vertices and sources, the Green correspondence, the Green ring, etc. In Part III, permutation modules are investigated with an emphasis on the study of p-permutation modules and Burnside rings.The material is developed with sufficient attention to detail so that it can easily be read by the novice, although its chief appeal will be to specialists. A number of the results presented in this volume have almost certainly never been published before.

  • Partial Differential Equations of Mathematical Physics

    International Series of Monographs in Pure and Applied Mathematics
    • 1 Edición
    • S. L. Sobolev
    • I. N. Sneddon + 2 más
    • Inglés
    Pure and Applied Mathematics, Volume 56: Partial Differential Equations of Mathematical Physics provides a collection of lectures related to the partial differentiation of mathematical physics. This book covers a variety of topics, including waves, heat conduction, hydrodynamics, and other physical problems. Comprised of 30 lectures, this book begins with an overview of the theory of the equations of mathematical physics that has its object the study of the integral, differential, and functional equations describing various natural phenomena. This text then examines the linear equations of the second order with real coefficients. Other lectures consider the Lebesgue–Fubini theorem on the possibility of changing the order of integration in a multiple integral. This book discusses as well the Dirichlet problem and the Neumann problem for domains other than a sphere or half-space. The final lecture deals with the properties of spherical functions. This book is a valuable resource for mathematicians.

  • Group Representations

    • 1 Edición
    • Volumen 2
    • Gregory Karpilovsky
    • Inglés
    This second volume deals with projective representations and the Schur multiplier. Some further topics pertaining to projective representations will be covered in the next volume. The bibliography is extensive, leading the reader to various references for detailed discussions on the main topics as well as on related subjects.

  • A Collection of Contributions in Honour of Jack van Lint

    • 1 Edición
    • P.J. Cameron + 1 más
    • Inglés
    This collection of contributions is offered to Jack van Lint on the occasion of his sixtieth birthday and appears simultaneously in the series Topics in Discrete Mathematics and as a special double volume of Discrete Mathematics (Volumes 106/107). It is hoped that the papers selected, all written by experts in their own fields, represent the many interesting areas that together constitute the discipline of Discrete Mathematics. It is in this sphere that van Lint has become the acknowledged master and this expansive volume serves to demonstrate the enormous significance he has had on the development of Discrete Mathematics during the last 30 years.

  • Proceedings of the Ninth Power Systems Computation Conference

    • 1 Edición
    • Cascais Portugal
    • Inglés

  • Exploring University Mathematics

    Lectures Given at Bedford College, London
    • 1 Edición
    • Mary Bradburn + 2 más
    • N. J. Hardiman
    • Inglés
    Exploring University Mathematics, Volume 3 provides information pertinent to pure and applied mathematics. This book discusses the close relationship between mathematics and physics. Organized into seven chapters, this volume begins with an overview of the concept of mapping in mathematics, which provides a correspondence between elements of one set with elements of another. This text then examines the theory of inflatable structures in the study of the hovercrafs in two dimensions. Other chapters consider the explicit investigation of logic by mathematicians whereby mathematics has been conceived as pre-eminently a deductive science. This book discusses as well how Taylor's formula is used in various aspects, including integration, approximating functions, finding roots of algebraic equations, and solving differential equations in forms suitable for computer calculations. This book is intended to be suitable for students on a degree course in mathematics. Mathematicians, teachers, and research workers will also find this book extremely useful.

  • Interconnection Networks

    • 1 Edición
    • Volumen 5
    • J.-C. Bermond
    • Inglés
    Most of the articles in this book deal with static or point-to-pointInterc... Networks. In particular, new constructions are proposed basedon different tools from discrete mathematics. Many new records have beenestablished in the table of the maximum number of vertices of graphs withmaximum degree &Dgr; and diameter D. Properties of thesenetworks (and of more classical ones) are analyzed in many of the otherpapers. About 40% of the articles deal with fault tolerance orvulnerability properties using either combinatorial tools or probabilisticones.

  • MSX Made Simple

    Made Simple Computerbooks
    • 1 Edición
    • Margaret Norman
    • Inglés

  • A Collection of Problems in Analytical Geometry

    Analytical Geometry in the Plane
    • 1 Edición
    • D. V. Kletenik
    • W. J. Langford + 1 más
    • Inglés
    A Collection of Problems in Analytical Geometry, Part I: Analytical Geometry in the Plane is a collection of problems dealing with higher analytical geometry. The book discusses elementary problems dealing with plane analytical geometry. The text presents topics on the axis and intervals on an axis and coordinates on a straight line. The book also defines what a rectangular Cartesian coordinates in a plane is, the division of an interval in a given ratio, and shows how to calculate the area of a triangle. The equation of a curve, the functions of two variables, and the concept of an equation of a curve are explained by the use of examples and problems. The author also addresses the geometrical properties of curves of the second order, the equations of a straight line, a circle, an ellipse, a hyperbola, and a parabola. The text then discusses the general theory of second-order curves and emphasizes the equations of the central curves of the second order. The author cites the simplification of these equations as being applicable to theoretical mechanics. This collection of problems can be used by teachers of analytical geometry and their students.

  • Designs and Graphs

    • 1 Edición
    • Volumen 4
    • C.J. Colbourn + 2 más
    • Inglés
    In 1988, the news of Egmont Köhler's untimely death at the age of 55reached his friends and colleagues. It was widely felt that a lastingmemorial tribute should be organized. The result is the present volume,containing forty-two articles, mostly in combinatorial design theory andgraph theory, and all in memory of Egmont Köhler. Designs and graphswere his areas of particular interest; he will long be remembered for hisresearch on cyclic designs, Skolem sequences, t-designs and theOberwolfach problem. Professors Lenz and Ringel give a detailedappreciation of Köhler's research in the first article of thisvolume.There is, however, one aspect of Egmont Köhler's biographythat merits special attention. Before taking up the study of mathematics atthe age of 31, he had completed training as a musician (studying bothcomposition and violoncello at the Musikhochschule in Berlin), and workedas a cellist in a symphony orchestra for some years. This accounts for hisinterest in the combinatorial aspects of music. His work and lectures inthis direction had begun to attract the interest of many musicians, and hehad commenced work on a book on mathematical aspects of musical theory. Itis tragic indeed that his early death prevented the completion of his work;the surviving paper on the classification and complexity of chordsindicates the loss that his death meant to the area, as he was almostuniquely qualified to bring mathematics and music together, being aprofessional in both fields.

  • Servicing Personal Computers

    • 2 Edición
    • Michael Tooley
    • Inglés
    Servicing Personal Computers, Second Edition focuses on the techniques and processes involved in the repair of personal computers. The book first discusses microcomputer systems. Microprocessors, Z80 support devices, random access memory, parallel input and output, and memory mapped input and output are then explained. The text looks at test equipment, printers and monitors, and tapes and disk drives. The publication also discusses fault diagnosis and considers initial check procedures, testing the CPU board, and miscellaneous faults. The book then underscores the servicing of IBM PC and compatibles. The 8086 and 8088 microprocessors, 8086 registers, 80286 microprocessor, support devices, and useful memory locations are described. The text also presents commonly used symbols, TTL families and device numbering, common TTL pin-outs, RAM data, and equivalent logic functions. The selection is a vital source of information for those interested in personal computer repair.

  • Real Time Programming 1977

    Proceedings of the IFAC/IFIP Workshop, Eindhoven, Netherlands, 20-22 June 1977
    • 1 Edición
    • C. H. Smedema
    • Inglés
    Real Time Programming 1977 covers the proceedings of the IFAC/IFIP Workshop, held in Eindhoven, Netherlands, on June 20-22, 1977. The book focuses on the languages, methods, and techniques in real time programming, including debugging systems, hardware, parallel programs, and multi-processor systems. The selection first discusses experience with the programming language modula; flexible approaches to process communication; and high level process control “Esprit“ and its source level debugging system “Solda“. The book then takes a look at software tools for designing and realizing distributed systems in process control and steps in implementing a parallel code executor, including system decomposition, challenge of the new hardware, and situation of real-time programming. The publication reviews software specification language for sequential processes and petri nets for proving correctness of parallel programs. Concerns include state graphs as a model for automata and petri net application to programs. The text also focuses on real-time distributed processing system using GEC 4000 series computers; integration of high-level interpretive software with microprocessor-based distributed control systems; and software approach for multi-processor systems. The selection is a vital reference for readers interested in real-time programming.

  • A Course of Mathematical Analysis

    International Series of Monographs on Pure and Applied Mathematics
    • 1 Edición
    • A. F. Bermant
    • I. N. Sneddon + 2 más
    • Inglés
    A Course of Mathematical Analysis, Part I is a textbook that shows the procedure for carrying out the various operations of mathematical analysis. Propositions are given with a precise statement of the conditions in which they hold, along with complete proofs. Topics covered include the concept of function and methods of specifying functions, as well as limits, derivatives, and differentials. Definite and indefinite integrals, curves, and numerical, functional, and power series are also discussed. This book is comprised of nine chapters and begins with an overview of mathematical analysis and its meaning, together with some historical notes and the geometrical interpretation of numbers. The reader is then introduced to functions and methods of specifying them; notation for and classification of functions; and elementary investigation of functions. Subsequent chapters focus on limits and rules for passage to the limit; the concepts of derivatives and differentials in differential calculus; definite and indefinite integrals and applications of integrals; and numerical, functional, and power series. This monograph will be a valuable resource for engineers, mathematicians, and students of engineering and mathematics.

  • An Introduction to Mathematical Analysis

    International Series of Monographs on Pure and Applied Mathematics
    • 1 Edición
    • Robert A. Rankin
    • I. N. Sneddon + 2 más
    • Inglés
    An Introduction to Mathematical Analysis is an introductory text to mathematical analysis, with emphasis on functions of a single real variable. Topics covered include limits and continuity, differentiability, integration, and convergence of infinite series, along with double series and infinite products. This book is comprised of seven chapters and begins with an overview of fundamental ideas and assumptions relating to the field operations and the ordering of the real numbers, together with mathematical induction and upper and lower bounds of sets of real numbers. The following chapters deal with limits of real functions; differentiability and maxima, minima, and convexity; elementary properties of infinite series; and functions defined by power series. Integration is also considered, paying particular attention to the indefinite integral; interval functions and functions of bounded variation; the Riemann-Stieltjes integral; the Riemann integral; and area and curves. The final chapter is devoted to convergence and uniformity. This monograph is intended for mathematics students.

  • Proceedings of the Tenth Power Systems Computation Conference

    • 1 Edición
    • Graz Austria
    • Inglés

  • Structural Analysis Systems

    Software — Hardware Capability — Compatibility — Applications
    • 1 Edición
    • A. Niku-Lari
    • Inglés
    Structural Analysis Systems: Software—Hardware Capability—Compatibi... Volume 2 is a practical guidebook on structural analysis systems and their applications. It provides detailed information about a specific software, its postprocessor capabilities and limitations, computer-aided design connection, and compatibility with the most common computers. Several practical examples from industry with computer and user cost are given. This volume consists of 17 chapters and begins with a description of AFAG, a dual finite element analysis program based on the flexibility method. The discussion then turns to the AQUADYN system, designed primarily to reduce the hydrodynamics problem to a linear integral equation for large floating or immersed structures. The following chapters focus on other structural analysis computer programs such as BOSOR4 and BOSOR5, INFESA, MEF/MOSAIC, RCAFAG, and STRUGEN. Some general purpose and special purpose finite element programs used for stress analysis of composite materials are also considered. This book will be a useful resource for practitioners in scientific and industrial disciplines such as mechanical or civil engineering, informatics, applied mathematics, and computer science.

  • Tables of The Legendre Functions P—½+it(x)

    Mathematical Tables Series
    • 1 Edición
    • M. I. Zhurina + 1 más
    • Inglés
    Tables of the Legendre Functions P–½+iτ (X), Part I tabulates in detail the Legendre spherical functions of the first kind Pv(x) with complex index v = – ½ + iτ and real values of X > – 1. P–½+iτ (X) plays an important role in mathematical physics and are used in solving boundary value problems in potential theory for domains bounded by cones, hyperboloids of revolution, two intersecting spheres, or other second order surfaces. These Legendre functions are also of theoretical interest in connection with the Meler-Fok integral expansion. This book is devoted to the tables of P–½+iτ (X) and coefficients in the asymptotic formula. Some properties of the functions P–½+iτ (X) and description of the tables are also discussed. This publication is a good source for mathematical physicists and students conducting work on Legendre functions P–½+iτ (X).

  • The Julius Petersen Graph Theory Centennial

    • 1 Edición
    • L.D. Andersen + 7 más
    • Inglés
    Julius Petersen's paper, Die Theorie der regulären graphs in Acta Mathematica, volume 15 (1891), stands at the beginning of graph theory as we know it today.The Danish group of graph theorists decided in 1985 to mark the 150th birthday of Petersen in 1989, as well as the centennial of his paper.It was felt that the occasion called for a presentation of Petersen's famous paper in its historical context and, in a wider sense, of Petersen's life and work as a whole. However, the readily available information about Julius Petersen amounted to very little (not even a full bibliography existed) and virtually nothing was known about the circumstances that led him to write his famous paper.The study of Petersen's life and work has resulted in several papers, in particular a biography, a bibliography, an annotated edition of the letters surrounding Petersen's paper of 1891, an analysis of Petersen's paper and an annotated edition of parts of Petersen's correspondence with Sylow on Galois theory. The first four of these papers, together with a survey of matching theory, form the first part of this book. In addition to these five special papers, there are papers submitted in the celebration of the Petersen centennial.

  • A Course of Higher Mathematics

    Adiwes International Series in Mathematics, Volume 3, Part 1
    • 1 Edición
    • V. I. Smirnov
    • A. J. Lohwater
    • Inglés
    Linear Algebra: A Course of Higher Mathematics, Volume III, Part I deals with linear algebra and the theory of groups that are usually found in theoretical physics. This volume discusses linear algebra, quadratic forms theory, and the theory of groups. The properties of determinants are discussed for determinants offer the solution of systems of equations. Cramer's theorem is used to find the solution of a system of linear equations that has as many equations as unknowns. Linear transformations and quadratic forms, for example, coordinate transformation in three-dimensional space and general linear transformation of real three-dimensional space, are considered. The formula for n-dimensional complex space and the transformation of a quadratic form to a sum of squares are analyzed. The latter is explained by using Jacobi's formula to arrive at a significant form of the reduction of a quadratic form to a sum of squares. The basic theory of groups, linear representations of groups, and the theory of partial differential equations that is the basis of the formation of groups with given structural constants are explained. This book is recommended for mathematicians, students, and professors in higher mathematics and theoretical physics.

  • Newnes Telecommunications Pocket Book

    • 1 Edición
    • E. A. Edis + 1 más
    • Inglés
    Newnes Telecommunications Pocket Book discusses the equipment, systems, and techniques used in the telecommunications network. The book is comprised of 25 chapters that are organized into four parts. The first part covers components of particular relevance to telecommunications. The second part deals with commonly used circuit assemblies such as filters, attenuators, modems, and digitizers. The third part discusses organization and standards. The last part talks about telecommunications network practice, including analogue and digital, fixed and mobile systems. This text will be of great use to professionals in the telecommunications industry.

  • Quasilinearization and Invariant Imbedding

    With Applications to Chemical Engineering and Adaptive Control
    • 1 Edición
    • E. Stanley Lee
    • Richard Bellman
    • Inglés
    Mathematics in Science and Engineering, Volume 41: Quasilinearization and Invariant Imbedding presents a study on the use of two concepts for obtaining numerical solutions of boundary-value problems—quasilinear... and invariant imbedding. This book emphasizes that the invariant imbedding approach reformulates the original boundary-value problem into an initial value problem by introducing new variables or parameters, while the quasilinearization technique represents an iterative approach combined with linear approximations. This volume focuses on analytical aspects that are concerned with actual convergence rates and computational requirements, considering various efficient algorithms that are suited for various types of boundary-value problems. This publication is a good reference for chemical and control engineers and scientists interested in obtaining numerical solutions of boundary-value problems in their particular fields.

  • Solution of Equations and Systems of Equations

    Pure and Applied Mathematics: A Series of Monographs and Textbooks, Vol. 9
    • 2 Edición
    • A. M. Ostrowski
    • Paul A. Smith + 1 más
    • Inglés
    Solution of Equations and Systems of Equations, Second Edition deals with the Laguerre iteration, interpolating polynomials, method of steepest descent, and the theory of divided differences. The book reviews the formula for confluent divided differences, Newton's interpolation formula, general interpolation problems, and the triangular schemes for computing divided differences. The text explains the method of False Position (Regula Falsi) and cites examples of computation using the Regula Falsi. The book discusses iterations by monotonic iterating functions and analyzes the connection of the Regula Falsi with the theory of iteration. The text also explains the idea of the Newton-Raphson method and compares it with the Regula Falsi. The book also cites asymptotic behavior of errors in the Regula Falsi iteration, as well as the theorem on the error of the Taylor approximation to the root. The method of steepest descent or gradient method proposed by Cauchy ensures "global convergence" in very general conditions. This book is suitable for mathematicians, students, and professor of calculus, and advanced mathematics.

  • Elementary Theory

    Fundamentals of the Theory of Operator Algebras
    • 1 Edición
    • Richard V. Kadison + 1 más
    • Samuel Eilenberg + 1 más
    • Inglés
    Fundamentals of the Theory of Operator Algebras, Volume I: Elementary Theory provides information pertinent to the fundamental aspects of the theory of operator algebras. This book discusses the finite-dimensional linear algebra. Organized into five chapters, this volume begins with an overview of the fundamental aspects of linear functional analysis that are needed in the study of operator algebras. This text then discusses the continuous linear operators, continuous linear functionals, weak topologies, and convexity in the context of linear topological spaces. Other chapters consider the elementary geometry of Hilbertspaces and the simplest properties of Hilbert space operators. This book discusses as well algebras that have a Banach-space structure relative to which the multiplication is continuous. The final chapter deals with those C*-algebras that are strong-operator closed in their action on some Hilbert space, which play a fundamental role in the subject. This book is a valuable resource for mathematicians.

  • Real-Variable Methods in Harmonic Analysis

    • 1 Edición
    • Alberto Torchinsky
    • Samuel Eilenberg + 1 más
    • Inglés
    Real-Variable Methods in Harmonic Analysis deals with the unity of several areas in harmonic analysis, with emphasis on real-variable methods. Active areas of research in this field are discussed, from the Calderón-Zygmund theory of singular integral operators to the Muckenhoupt theory of Ap weights and the Burkholder-Gundy theory of good ? inequalities. The Calderón theory of commutators is also considered. Comprised of 17 chapters, this volume begins with an introduction to the pointwise convergence of Fourier series of functions, followed by an analysis of Cesàro summability. The discussion then turns to norm convergence; the basic working principles of harmonic analysis, centered around the Calderón-Zygmund decomposition of locally integrable functions; and fractional integration. Subsequent chapters deal with harmonic and subharmonic functions; oscillation of functions; the Muckenhoupt theory of Ap weights; and elliptic equations in divergence form. The book also explores the essentials of the Calderón-Zygmund theory of singular integral operators; the good ? inequalities of Burkholder-Gundy; the Fefferman-Stein theory of Hardy spaces of several real variables; Carleson measures; and Cauchy integrals on Lipschitz curves. The final chapter presents the solution to the Dirichlet and Neumann problems on C1-domains by means of the layer potential methods. This monograph is intended for graduate students with varied backgrounds and interests, ranging from operator theory to partial differential equations.

  • Intensional and Higher-Order Modal Logic

    • 1 Edición
    • Daniel Gallin
    • Inglés
    North-Holland Mathematics Studies, 19: Intensional and Higher-Order Modal Logic: With Applications to Montague Semantics focuses on an approach to the problem of providing a precise account of natural language syntax and semantics, including the set-theoretic semantical methods, Boolean models, and two-sorted type theory. The book first offers information on intensional logic and alternative formulations of intensional logic. Topics include two-sorted type theory, normal forms, extensions and intensional logic, modal T-logic, persistence in intensional logic, generalized completeness of intensional logic, and natural language and intensional logic. The text then examines higher-order modal logic and algebraic semantics. Discussions focus on Cohen's independence results, topological models of MLp, modal independence results, Boolean models of MLp, relative strength of intensional logic and MLp, propositional operators, modal predicate logic, and propositions in MLp. The monograph is a valuable reference for mathematicians and researchers interested in intensional and higher-order modal logic.

  • Nonarchimedean Fields and Asymptotic Expansions

    • 1 Edición
    • A. H. Lightstone + 1 más
    • Inglés
    North-Holland Mathematical Library, Volume 13: Nonarchimedean Fields and Asymptotic Expansions focuses on the connection between nonarchimedean systems and the orders of infinity and smallness that are related with the asymptotic behavior of a function. The publication first explains nonarchimedean fields and nonstandard analysis. Discussions focus on the method of mathematical logic, ultrapower construction, principles of permanence, internal functions, many-sorted structures, nonarchimedean fields and groups, and fields with evaluation. The text then discusses the Euler-Maclaurin expansions and the formal concept of asymptotic expansions. Topics include a generalized criterion for asymptotic expansions, asymptotic power series, Watson's Lemma, asymptotic sequences, and the Euler-Maclaurin formula. The manuscript examines Popken space, including asymptotically finite functions, convergence, norm, algebraic properties of the norm, and Popken's description of the norm. The text is a dependable reference for mathematicians and researchers interested in nonarchimedean fields and asymptotic expansions.

  • Training for Tomorrow

    Educational Aspects of Computerized Automation
    • 1 Edición
    • J. E. Rijnsdorp + 2 más
    • Inglés
    Training for Tomorrow: Educational Aspects of Computerized Automation is a collection of papers that discusses the introduction of automated systems in all sectors of industry, business, and society. The materials in the title particularly tackle the training concerns in the implementation of automated systems. The issues addressed in the text include training in administrative automation; development of operator training as an integrated part of the specification, design, and implementation of a process control system; and training for the planning of large-scale control systems. The selection also talks about the maintenance of professionals’ training course; the feasibility of success in retraining non-EDP college graduates for EDP occupations; and the future of automation. The book will be of great interest to individuals concerned with the implication of implementing automated systems in various sectors of industry, business, and society.

  • Concepts from Tensor Analysis and Differential Geometry

    • 1 Edición
    • Tracy Y. Thomas
    • Richard Bellman
    • Inglés
    Concepts from Tensor Analysis and Differential Geometry discusses coordinate manifolds, scalars, vectors, and tensors. The book explains some interesting formal properties of a skew-symmetric tensor and the curl of a vector in a coordinate manifold of three dimensions. It also explains Riemann spaces, affinely connected spaces, normal coordinates, and the general theory of extension. The book explores differential invariants, transformation groups, Euclidean metric space, and the Frenet formulae. The text describes curves in space, surfaces in space, mixed surfaces, space tensors, including the formulae of Gaus and Weingarten. It presents the equations of two scalars K and Q which can be defined over a regular surface S in a three dimensional Riemannian space R. In the equation, the scalar K, which is an intrinsic differential invariant of the surface S, is known as the total or Gaussian curvature and the scalar U is the mean curvature of the surface. The book also tackles families of parallel surfaces, developable surfaces, asymptotic lines, and orthogonal ennuples. The text is intended for a one-semester course for graduate students of pure mathematics, of applied mathematics covering subjects such as the theory of relativity, fluid mechanics, elasticity, and plasticity theory.

  • The Theory of Splines and Their Applications

    Mathematics in Science and Engineering: A Series of Monographs and Textbooks, Vol. 38
    • 1 Edición
    • J. H. Ahlberg + 2 más
    • Richard Bellman
    • Inglés
    The Theory of Splines and Their Applications discusses spline theory, the theory of cubic splines, polynomial splines of higher degree, generalized splines, doubly cubic splines, and two-dimensional generalized splines. The book explains the equations of the spline, procedures for applications of the spline, convergence properties, equal-interval splines, and special formulas for numerical differentiation or integration. The text explores the intrinsic properties of cubic splines including the Hilbert space interpretation, transformations defined by a mesh, and some connections with space technology concerning the payload of a rocket. The book also discusses the theory of polynomial splines of odd degree which can be approached through algebraically (which depends primarily on the examination in detail of the linear system of equations defining the spline). The theory can also be approached intrinsically (which exploits the consequences of basic integral relations existing between functions and approximating spline functions). The text also considers the second integral relation, raising the order of convergence, and the limits on the order of convergence. The book will prove useful for mathematicians, physicist, engineers, or academicians in the field of technology and applied mathematics.

  • Introduction to the Mathematical Theory of Control Processes

    Linear Equations and Quadratic Criteria
    • 1 Edición
    • Richard Bellman
    • Richard Bellman
    • Inglés

  • Divisor Theory in Module Categories

    • 1 Edición
    • W. V. Vasconcelos
    • Leopoldo Nachbin
    • Inglés
    North-Holland Mathematics Studies, 14: Divisor Theory in Module Categories focuses on the principles, operations, and approaches involved in divisor theory in module categories, including rings, divisors, modules, and complexes. The book first takes a look at local algebra and homology of local rings. Discussions focus on Gorenstein rings, Euler characteristics of modules, Macaulay rings, Koszul complexes, Noetherian and coherent rings, flatness, and Fitting's invariants. The text then explains divisorial ideals, including divisors, modules of dimension one, and higher divisorial ideals. The manuscript ponders on spherical modules and divisors and I-divisors. Topics include construction, Euler characteristics of Inj (A), change of rings and dimensions, spherical modules, resolutions and divisors, and elementary properties. The text is a valuable source of information for mathematicians and researchers interested in divisor theory in module categories.

  • Comparison and Oscillation Theory of Linear Differential Equations

    • 1 Edición
    • C. A. Swanson
    • Richard Bellman
    • Inglés
    Mathematics in Science and Engineering, Volume 48: Comparison and Oscillation Theory of Linear Differential Equations deals primarily with the zeros of solutions of linear differential equations. This volume contains five chapters. Chapter 1 focuses on comparison theorems for second order equations, while Chapter 2 treats oscillation and nonoscillation theorems for second order equations. Separation, comparison, and oscillation theorems for fourth order equations are covered in Chapter 3. In Chapter 4, ordinary equations and systems of differential equations are reviewed. The last chapter discusses the result of the first analog of a Sturm-type comparison theorem for an elliptic partial differential equation. This publication is intended for college seniors or beginning graduate students who are well-acquainted with advanced calculus, complex analysis, linear algebra, and linear differential equations.

  • Treatise on Analysis

    • 1 Edición
    • J. Dieudonné
    • H. Bass + 2 más
    • Inglés
    Treatise on Analysis, Volume 10–VIII provides information pertinent to the study of the most common boundary problems for partial differential equations. This book presents the study of Cauchy's problem in its most elementary form. Comprised of one chapter, this volume begins with an overview of Hilbert-von Neumann spectral theory and explores all possible boundary conditions related to spectral theory. This text then examines the link of Cauchy's problem with the behavior of the equation's characteristics. This book discusses as well the case of linear elliptic operators. The reader is also introduced to Sobolev spaces and some of their generalizations that provide an essential tool in the study of these elliptic problems, and their manipulation requires delicate upper bounds to obtain the best possible results. This book is a valuable resource for mathematicians.

  • Scattering Theory

    Pure and Applied Mathematics, Vol. 26
    • 1 Edición
    • Peter D. Lax + 1 más
    • Paul A. Smith + 1 más
    • Inglés
    Scattering Theory describes classical scattering theory in contrast to quantum mechanical scattering theory. The book discusses the formulation of the scattering theory in terms of the representation theory. The text also explains the relation between the behavior of the solution of the perturbed problem at small distances for large positive times and the analytic continuation of the scattering matrix. To prove the representation theorem, the text cites the methods used by Masani and Robertson in their work dealing with stationary stochastic processes. The book also applies the translation representation theory to a wave equation to obtain a comparison of the asymptotic properties of the free space solution with those of the solution in an exterior domain. The text discusses the solution of the wave equation in an exterior domain by fitting this problem into the abstract framework to get a verification of the hypotheses in some other theorems. The general theory of scattering can be applied to symmetric hyperbolic systems in which all sound speeds are different from zero, as well as to the acoustic equation which has a potential that can cause an energy form to become indefinite. The book is suitable for proponents of analytical mathematics, particle physics, and quantum physics.

Temas relacionados