Elementary Theory Application of Numerical Analysis

Author: James Edward Miller
Publisher: Courier Corporation
ISBN: 0486479064
Format: PDF
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This updated introduction to modern numerical analysis is a complete revision of a classic text originally written in Fortran but now featuring the programming language C++. It focuses on a relatively small number of basic concepts and techniques. Many exercises appear throughout the text, most with solutions. An extensive tutorial explains how to solve problems with C++.

Numerical Methods for Two Point Boundary Value Problems

Author: Herbert B. Keller
Publisher: Courier Dover Publications
ISBN: 0486828344
Format: PDF, ePub, Docs
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Elementary yet rigorous, this concise treatment is directed toward students with a knowledge of advanced calculus, basic numerical analysis, and some background in ordinary differential equations and linear algebra. 1968 edition.

Elementary Numerical Analysis

Author: S. D. Conte
Publisher: SIAM
ISBN: 1611975204
Format: PDF, ePub
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This book provides a thorough and careful introduction to the theory and practice of scientific computing at an elementary, yet rigorous, level, from theory via examples and algorithms to computer programs. The original FORTRAN programs have been rewritten in MATLAB and now appear in a new appendix and online, offering a modernized version of this classic reference for basic numerical algorithms.

A First Look at Numerical Functional Analysis

Author: W. W. Sawyer
Publisher: Courier Dover Publications
ISBN: 0486478823
Format: PDF, Docs
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Functional analysis arose from traditional topics of calculus and integral and differential equations. This accessible text by an internationally renowned teacher and author starts with problems in numerical analysis and shows how they lead naturally to the concepts of functional analysis. Suitable for advanced undergraduates and graduate students, this book provides coherent explanations for complex concepts. Topics include Banach and Hilbert spaces, contraction mappings and other criteria for convergence, differentiation and integration in Banach spaces, the Kantorovich test for convergence of an iteration, and Rall's ideas of polynomial and quadratic operators. Numerous examples appear throughout the text.

Interpolation and Approximation

Author: Philip J. Davis
Publisher: Courier Corporation
ISBN: 0486624951
Format: PDF, Docs
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Intermediate-level survey covers remainder theory, convergence theorems, and uniform and best approximation. Other topics include least square approximation, Hilbert space, orthogonal polynomials, theory of closure and completeness, and more. 1963 edition.

Applied Algebra and Functional Analysis

Author: Anthony N. Michel
Publisher: Courier Corporation
ISBN: 048667598X
Format: PDF
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"A valuable reference." — American Scientist. Excellent graduate-level treatment of set theory, algebra and analysis for applications in engineering and science. Fundamentals, algebraic structures, vector spaces and linear transformations, metric spaces, normed spaces and inner product spaces, linear operators, more. A generous number of exercises have been integrated into the text. 1981 edition.

The Mathematical Theory of Finite Element Methods

Author: Susanne C Brenner
Publisher: Springer Science & Business Media
ISBN: 1475736584
Format: PDF, ePub
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A rigorous and thorough mathematical introduction to the subject; A clear and concise treatment of modern fast solution techniques such as multigrid and domain decomposition algorithms; Second edition contains two new chapters, as well as many new exercises; Previous edition sold over 3000 copies worldwide

Applied Analysis

Author: Cornelius Lanczos
Publisher: Courier Corporation
ISBN: 0486319261
Format: PDF, ePub, Docs
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Classic work on analysis and design of finite processes for approximating solutions of analytical problems. Features algebraic equations, matrices, harmonic analysis, quadrature methods, and much more.

Dynamical Systems

Author: Shlomo Sternberg
Publisher: Courier Corporation
ISBN: 0486135144
Format: PDF, ePub
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A pioneer in the field of dynamical systems discusses one-dimensional dynamics, differential equations, random walks, iterated function systems, symbolic dynamics, and Markov chains. Supplementary materials include PowerPoint slides and MATLAB exercises. 2010 edition.