Introduction to Precise Numerical Methods
- 2 Edición - 11 de abril de 2007
- Última edición
- Autor: Oliver Aberth
- Idioma: Inglés
Precise numerical analysis may be defined as the study of computer methods for solving mathematical problems either exactly or to prescribed accuracy. This book explains how pr… Leer más
Descripción
Descripción
Precise numerical analysis may be defined as the study of computer methods for solving mathematical problems either exactly or to prescribed accuracy. This book explains how precise numerical analysis is constructed. The book also provides exercises which illustrate points from the text and references for the methods presented.
Puntos claves
Puntos claves
- Clearer, simpler descriptions and explanations of the various numerical methods
- Two new types of numerical problems; accurately solving partial differential equations with the included software and computing line integrals in the complex plane
De interès para
De interès para
Beginning classes in Numerical Analysis taught out of Computer Science or Engineering Departments. Also Math Departments where it is taught to students of other disciplines. European technical schools and universities, especially Germany, would have strong interest in a book on interval arithmetic. The guaranteed accuracy of this software makes it very desirable for engineers and scientists who need to solve numerical problems in their work
Índice
Índice
Preface; 1 Introduction; 2 Computer Arithmetics; 3 Classification of Numerical Computation Problems; 4 Real-Valued Functions; 5 Computing Derivatives; 6 Computing Integrals; 7 Finding Where a Function f(x) is Zero; 8 Finding Roots of Polynomial; 9 Solving n Linear Equations in n Unknowns; 10 Eigenvalue and Eigenvector Problems; 11 Problems of Linear Programming; 12 Finding Where Several Functions are Zero; 13 Optimization Problems; 14 Ordinary Differential Equations; 15 Partial Differential Equations; 16 Numerical Methods with Complex Functions; Index
Reseñas
Reseñas
"No other book on the market can guarantee results to this level of accuracy."— Mathematical Reviews/MathSciNet, Issue 2008g
The book is ideal for classes in numerical analysis taught by mathematics, computer science, or engineering departments. The guaranteed accuracy of the software makes it very useful for professional engineers and scientists who need to solve numerical problems in their work."— Mathematical Reviews/MathSciNet, Issue 2008g
The book is ideal for classes in numerical analysis taught by mathematics, computer science, or engineering departments. The guaranteed accuracy of the software makes it very useful for professional engineers and scientists who need to solve numerical problems in their work."— Mathematical Reviews/MathSciNet, Issue 2008g
Detalles del producto
Detalles del producto
- Edición: 2
- Última edición
- Publicado: 11 de abril de 2007
- Idioma: Inglés
Sobre el autor
Sobre el autor
OA
Oliver Aberth
Oliver Aberth received his B.S. from City College of New York, his M.S. from Massachusetts Institute of Technology, and his Ph.D. from the University of Pennsylvania. He is also the author of Computable Analysis (McGraw-Hill, 1980) and Precise Numerical Methods Using C++ (Academic Press, 1998). He was professor of mathematics at Texas A & M University from 1970 to 1999. He is currently professor emeritus at Texas A & M University.
Afiliaciones y experiencia
Texas A & M University, College Station, U.S.A.