Elementary Numerical Analysis (3Rd Ed.)

Author: Atkinson

Publisher: John Wiley & Sons

ISBN: 9788126508020

Category:

Page: 576

View: 3767

Offering a clear, precise, and accessible presentation, complete with MATLAB programs, this new Third Edition of Elementary Numerical Analysis gives students the support they need to master basic numerical analysis and scientific computing. Now updated and revised, this significant revision features reorganized and rewritten content, as well as some new additional examples and problems.The text introduces core areas of numerical analysis and scientific computing along with basic themes of numerical analysis such as the approximation of problems by simpler methods, the construction of algorithms, iteration methods, error analysis, stability, asymptotic error formulas, and the effects of machine arithmetic.· Taylor Polynomials · Error and Computer Arithmetic · Rootfinding · Interpolation and Approximation · Numerical Integration and Differentiation · Solution of Systems of Linear Equations · Numerical Linear Algebra: Advanced Topics · Ordinary Differential Equations · Finite Difference Method for PDEs

Elementary Numerical Analysis

An Algorithmic Approach

Author: S. D. Conte,Carl De Boor

Publisher: SIAM

ISBN: 1611975204

Category: Electronic books

Page: 456

View: 7938

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.

Elementary numerical analysis

an algorithmic approach

Author: Samuel Daniel Conte,Carl De Boor

Publisher: N.A

ISBN: N.A

Category: Mathematics

Page: 396

View: 4769

Elementary numerical analysis

Author: Kendall E. Atkinson

Publisher: Wiley

ISBN: N.A

Category: Mathematics

Page: 416

View: 3820

A concise introduction to numerical analysis for students in the sciences, mathematics, and engineering. In addition to coverage of all standard topics, it explores approximation methods, construction of algorithms, iteration methods, error analysis, stability, asymptotic error formulas, and the effects of machine arithmetic. Computer programming applications are given in Fortran 77. Features numerous problems and exercises at the end of each section.

Elementary numerical analysis

Author: Charles Brown Tompkins,Walter L. Wilson

Publisher: Prentice Hall

ISBN: N.A

Category: Mathematics

Page: 396

View: 7007

Elementary Numerical Analysis

Author: Kendall Atkinson

Publisher: Wiley

ISBN: 9780471509998

Category: Mathematics

Page: 448

View: 4505

Covers basic topics as well as approximation methods, construction of algorithms, iteration methods, error analysis, stability, asymptotic error formulas and the effect of machine arithmetic. Computer programming applications are given in Fortran-77. Features numerous graphs, problems and exercises at the end of each section.

Elementary Theory & Application of Numerical Analysis

Author: James Edward Miller,David G. Moursund,Charles S. Duris

Publisher: Courier Corporation

ISBN: 0486479064

Category: Mathematics

Page: 315

View: 1483

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++.

Stoer/Bulirsch: Numerische Mathematik 1

Author: Roland W. Freund,Ronald W. Hoppe

Publisher: Springer-Verlag

ISBN: 3540453903

Category: Mathematics

Page: 410

View: 9141

Dieses Numerik-Lehrbuch entwickelte sich seit der 1. Auflage zum Standardwerk. In zahlreichen Lehrveranstaltungen wird es als Begleittext verwendet. Der Erfolg dieses Lehrbuchs ist begründet. Es präsentiert, streng analytisch, grundlegende Prinzipien der Numerischen Mathematik, verknüpft diese aber zugleich mit der praktischen Anwendung, indem es fundamentale algorithmische Werkzeuge bereitstellt und diskutiert. Neue Methodologien und daraus resultierende numerische Verfahren der vergangenen Jahre sind in die 10. Neuauflage integriert: aktualisierte Grundlagen, neue algorithmische Techniken, die kritische Beurteilung existenter Methoden.

Numerical Methods

Design, Analysis, and Computer Implementation of Algorithms

Author: Anne Greenbaum,Timothy P. Chartier

Publisher: Princeton University Press

ISBN: 1400842670

Category: Mathematics

Page: 464

View: 3144

Numerical Methods provides a clear and concise exploration of standard numerical analysis topics, as well as nontraditional ones, including mathematical modeling, Monte Carlo methods, Markov chains, and fractals. Filled with appealing examples that will motivate students, the textbook considers modern application areas, such as information retrieval and animation, and classical topics from physics and engineering. Exercises use MATLAB and promote understanding of computational results. The book gives instructors the flexibility to emphasize different aspects--design, analysis, or computer implementation--of numerical algorithms, depending on the background and interests of students. Designed for upper-division undergraduates in mathematics or computer science classes, the textbook assumes that students have prior knowledge of linear algebra and calculus, although these topics are reviewed in the text. Short discussions of the history of numerical methods are interspersed throughout the chapters. The book also includes polynomial interpolation at Chebyshev points, use of the MATLAB package Chebfun, and a section on the fast Fourier transform. Supplementary materials are available online. Clear and concise exposition of standard numerical analysis topics Explores nontraditional topics, such as mathematical modeling and Monte Carlo methods Covers modern applications, including information retrieval and animation, and classical applications from physics and engineering Promotes understanding of computational results through MATLAB exercises Provides flexibility so instructors can emphasize mathematical or applied/computational aspects of numerical methods or a combination Includes recent results on polynomial interpolation at Chebyshev points and use of the MATLAB package Chebfun Short discussions of the history of numerical methods interspersed throughout Supplementary materials available online

Elementary Theory and Application of Numerical Analysis

Author: David G. Moursund,Charles S. Duris

Publisher: Courier Corporation

ISBN: 9780486657547

Category: Mathematics

Page: 297

View: 7519

Concise, rigorous introduction to modern numerical analysis, especially error-analysis aspects of problems and algorithms discussed. The book focuses on a small number of basic concepts and techniques, emphasizing why each works. Exercises and answers.

Afternotes on Numerical Analysis

Author: G. W. Stewart

Publisher: SIAM

ISBN: 9781611971491

Category: Numerical analysis

Page: 200

View: 5966

This book presents the central ideas of modern numerical analysis in a vivid and straightforward fashion with a minimum of fuss and formality. Stewart designed this volume while teaching an upper-division course in introductory numerical analysis. To clarify what he was teaching, he wrote down each lecture immediately after it was given. The result reflects the wit, insight, and verbal craftmanship which are hallmarks of the author. Simple examples are used to introduce each topic, then the author quickly moves on to the discussion of important methods and techniques. With its rich mixture of graphs and code segments, the book provides insights and advice that help the reader avoid the many pitfalls in numerical computation that can easily trap an unwary beginner. Written by a leading expert in numerical analysis, this book is certain to be the one you need to guide you through your favorite textbook.