An Introduction To Numerical Methods And Analysis

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An Introduction to Numerical Methods and Analysis

James F. Epperson
An Introduction to Numerical Methods and Analysis Book PDF

Author : James F. Epperson
Publisher : John Wiley & Sons
Page : 579 pages
File Size : 49,9 Mb
Release : 2013-06-06
Category : Mathematics
ISBN : 9781118626238

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An Introduction to Numerical Methods and Analysis by James F. Epperson Pdf

Praise for the First Edition ". . . outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises." —Zentrablatt Math ". . . carefully structured with many detailed worked examples . . ." —The Mathematical Gazette ". . . an up-to-date and user-friendly account . . ." —Mathematika An Introduction to Numerical Methods and Analysis addresses the mathematics underlying approximation and scientific computing and successfully explains where approximation methods come from, why they sometimes work (or don't work), and when to use one of the many techniques that are available. Written in a style that emphasizes readability and usefulness for the numerical methods novice, the book begins with basic, elementary material and gradually builds up to more advanced topics. A selection of concepts required for the study of computational mathematics is introduced, and simple approximations using Taylor's Theorem are also treated in some depth. The text includes exercises that run the gamut from simple hand computations, to challenging derivations and minor proofs, to programming exercises. A greater emphasis on applied exercises as well as the cause and effect associated with numerical mathematics is featured throughout the book. An Introduction to Numerical Methods and Analysis is the ideal text for students in advanced undergraduate mathematics and engineering courses who are interested in gaining an understanding of numerical methods and numerical analysis.

An Introduction to Numerical Methods and Analysis

James F. Epperson
An Introduction to Numerical Methods and Analysis Book PDF

Author : James F. Epperson
Publisher : John Wiley & Sons
Page : 614 pages
File Size : 46,6 Mb
Release : 2013-10-07
Category : Mathematics
ISBN : 9781118367599

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An Introduction to Numerical Methods and Analysis by James F. Epperson Pdf

Praise for the First Edition ". . . outstandingly appealing with regard to its style, contents, considerations of requirements of practice, choice of examples, and exercises."—Zentralblatt MATH ". . . carefully structured with many detailed worked examples."—The Mathematical Gazette The Second Edition of the highly regarded An Introduction to Numerical Methods and Analysis provides a fully revised guide to numerical approximation. The book continues to be accessible and expertly guides readers through the many available techniques of numerical methods and analysis. An Introduction to Numerical Methods and Analysis, Second Edition reflects the latest trends in the field, includes new material and revised exercises, and offers a unique emphasis on applications. The author clearly explains how to both construct and evaluate approximations for accuracy and performance, which are key skills in a variety of fields. A wide range of higher-level methods and solutions, including new topics such as the roots of polynomials, spectral collocation, finite element ideas, and Clenshaw-Curtis quadrature, are presented from an introductory perspective, and the Second Edition also features: Chapters and sections that begin with basic, elementary material followed by gradual coverage of more advanced material Exercises ranging from simple hand computations to challenging derivations and minor proofs to programming exercises Widespread exposure and utilization of MATLAB An appendix that contains proofs of various theorems and other material The book is an ideal textbook for students in advanced undergraduate mathematics and engineering courses who are interested in gaining an understanding of numerical methods and numerical analysis.

A Graduate Introduction to Numerical Methods

Robert M. Corless,Nicolas Fillion
A Graduate Introduction to Numerical Methods Book PDF

Author : Robert M. Corless,Nicolas Fillion
Publisher : Springer Science & Business Media
Page : 869 pages
File Size : 44,8 Mb
Release : 2013-12-12
Category : Mathematics
ISBN : 9781461484530

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A Graduate Introduction to Numerical Methods by Robert M. Corless,Nicolas Fillion Pdf

This book provides an extensive introduction to numerical computing from the viewpoint of backward error analysis. The intended audience includes students and researchers in science, engineering and mathematics. The approach taken is somewhat informal owing to the wide variety of backgrounds of the readers, but the central ideas of backward error and sensitivity (conditioning) are systematically emphasized. The book is divided into four parts: Part I provides the background preliminaries including floating-point arithmetic, polynomials and computer evaluation of functions; Part II covers numerical linear algebra; Part III covers interpolation, the FFT and quadrature; and Part IV covers numerical solutions of differential equations including initial-value problems, boundary-value problems, delay differential equations and a brief chapter on partial differential equations. The book contains detailed illustrations, chapter summaries and a variety of exercises as well some Matlab codes provided online as supplementary material. “I really like the focus on backward error analysis and condition. This is novel in a textbook and a practical approach that will bring welcome attention." Lawrence F. Shampine A Graduate Introduction to Numerical Methods and Backward Error Analysis” has been selected by Computing Reviews as a notable book in computing in 2013. Computing Reviews Best of 2013 list consists of book and article nominations from reviewers, CR category editors, the editors-in-chief of journals, and others in the computing community.

An Introduction to Numerical Analysis

Kendall Atkinson
An Introduction to Numerical Analysis Book PDF

Author : Kendall Atkinson
Publisher : John Wiley & Sons
Page : 726 pages
File Size : 45,9 Mb
Release : 1991-01-16
Category : Mathematics
ISBN : 9780471624899

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An Introduction to Numerical Analysis by Kendall Atkinson Pdf

This Second Edition of a standard numerical analysis text retains organization of the original edition, but all sections have been revised, some extensively, and bibliographies have been updated. New topics covered include optimization, trigonometric interpolation and the fast Fourier transform, numerical differentiation, the method of lines, boundary value problems, the conjugate gradient method, and the least squares solutions of systems of linear equations. Contains many problems, some with solutions.

An Introduction to Numerical Methods and Analysis, Solutions Manual

James F. Epperson
An Introduction to Numerical Methods and Analysis Solutions Manual Book PDF

Author : James F. Epperson
Publisher : John Wiley & Sons
Page : 277 pages
File Size : 49,5 Mb
Release : 2014-08-28
Category : Mathematics
ISBN : 9781118552131

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An Introduction to Numerical Methods and Analysis, Solutions Manual by James F. Epperson Pdf

A solutions manual to accompany An Introduction to Numerical Methods and Analysis, Second Edition An Introduction to Numerical Methods and Analysis, Second Edition reflects the latest trends in the field, includes new material and revised exercises, and offers a unique emphasis on applications. The author clearly explains how to both construct and evaluate approximations for accuracy and performance, which are key skills in a variety of fields. A wide range of higher-level methods and solutions, including new topics such as the roots of polynomials, spectral collocation, finite element ideas, and Clenshaw-Curtis quadrature, are presented from an introductory perspective, and the Second Edition also features: Chapters and sections that begin with basic, elementary material followed by gradual coverage of more advanced material Exercises ranging from simple hand computations to challenging derivations and minor proofs to programming exercises Widespread exposure and utilization of MATLAB An appendix that contains proofs of various theorems and other material

An Introduction to Numerical Methods

Abdelwahab Kharab,Ronald Guenther
An Introduction to Numerical Methods Book PDF

Author : Abdelwahab Kharab,Ronald Guenther
Publisher : CRC Press
Page : 447 pages
File Size : 53,8 Mb
Release : 2018-09-05
Category : Mathematics
ISBN : 9781351605915

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An Introduction to Numerical Methods by Abdelwahab Kharab,Ronald Guenther Pdf

Previous editions of this popular textbook offered an accessible and practical introduction to numerical analysis. An Introduction to Numerical Methods: A MATLAB® Approach, Fourth Edition continues to present a wide range of useful and important algorithms for scientific and engineering applications. The authors use MATLAB to illustrate each numerical method, providing full details of the computed results so that the main steps are easily visualized and interpreted. This edition also includes a new chapter on Dynamical Systems and Chaos. Features Covers the most common numerical methods encountered in science and engineering Illustrates the methods using MATLAB Presents numerous examples and exercises, with selected answers at the back of the book

An Introduction to Numerical Analysis

Kendall Atkinson
An Introduction to Numerical Analysis Book PDF

Author : Kendall Atkinson
Publisher : John Wiley & Sons
Page : 714 pages
File Size : 48,5 Mb
Release : 1989-01-17
Category : Mathematics
ISBN : MINN:31951P00429551T

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An Introduction to Numerical Analysis by Kendall Atkinson Pdf

This edition of the standard introductory textbook on numerical analysis has been revised and updated to include optimization, trigonometric interpolation and the fast Fourier transform, numerical differentiation, the method of lines and boundary value problems.

A Brief Introduction to Numerical Analysis

Eugene E. Tyrtyshnikov
A Brief Introduction to Numerical Analysis Book PDF

Author : Eugene E. Tyrtyshnikov
Publisher : Springer Science & Business Media
Page : 205 pages
File Size : 51,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9780817681364

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A Brief Introduction to Numerical Analysis by Eugene E. Tyrtyshnikov Pdf

A logically organized advanced textbook, which turns the reader into an active participant by asking questions, hinting, giving direct recommendations, comparing different methods, and discussing "pessimistic" and "optimistic" approaches to numerical analysis. Advanced students and graduate students majoring in computer science, physics and mathematics will find this book helpful.

Introduction to Numerical Analysis

J. Stoer,R. Bulirsch
Introduction to Numerical Analysis Book PDF

Author : J. Stoer,R. Bulirsch
Publisher : Springer Science & Business Media
Page : 674 pages
File Size : 41,6 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9781475722727

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Introduction to Numerical Analysis by J. Stoer,R. Bulirsch Pdf

On the occasion of this new edition, the text was enlarged by several new sections. Two sections on B-splines and their computation were added to the chapter on spline functions: Due to their special properties, their flexibility, and the availability of well-tested programs for their computation, B-splines play an important role in many applications. Also, the authors followed suggestions by many readers to supplement the chapter on elimination methods with a section dealing with the solution of large sparse systems of linear equations. Even though such systems are usually solved by iterative methods, the realm of elimination methods has been widely extended due to powerful techniques for handling sparse matrices. We will explain some of these techniques in connection with the Cholesky algorithm for solving positive definite linear systems. The chapter on eigenvalue problems was enlarged by a section on the Lanczos algorithm; the sections on the LR and QR algorithm were rewritten and now contain a description of implicit shift techniques. In order to some extent take into account the progress in the area of ordinary differential equations, a new section on implicit differential equa tions and differential-algebraic systems was added, and the section on stiff differential equations was updated by describing further methods to solve such equations.

An Introduction to Numerical Methods Using MATLAB

K. Akbar Ansari,Bonni Dichone
An Introduction to Numerical Methods Using MATLAB Book PDF

Author : K. Akbar Ansari,Bonni Dichone
Publisher : SDC Publications
Page : 368 pages
File Size : 52,9 Mb
Release : 2019
Category : Computers
ISBN : 9781630572457

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An Introduction to Numerical Methods Using MATLAB by K. Akbar Ansari,Bonni Dichone Pdf

An Introduction to Numerical Methods using MATLAB is designed to be used in any introductory level numerical methods course. It provides excellent coverage of numerical methods while simultaneously demonstrating the general applicability of MATLAB to problem solving. This textbook also provides a reliable source of reference material to practicing engineers, scientists, and students in other junior and senior-level courses where MATLAB can be effectively utilized as a software tool in problem solving. The principal goal of this book is to furnish the background needed to generate numerical solutions to a variety of problems. Specific applications involving root-finding, interpolation, curve-fitting, matrices, derivatives, integrals and differential equations are discussed and the broad applicability of MATLAB demonstrated. This book employs MATLAB as the software and programming environment and provides the user with powerful tools in the solution of numerical problems. Although this book is not meant to be an exhaustive treatise on MATLAB, MATLAB solutions to problems are systematically developed and included throughout the book. MATLAB files and scripts are generated, and examples showing the applicability and use of MATLAB are presented throughout the book. Wherever appropriate, the use of MATLAB functions offering shortcuts and alternatives to otherwise long and tedious numerical solutions is also demonstrated. At the end of every chapter a set of problems is included covering the material presented. A solutions manual to these exercises is available to instructors.

Numerical Methods for Two-Point Boundary-Value Problems

Herbert B. Keller
Numerical Methods for Two Point Boundary Value Problems Book PDF

Author : Herbert B. Keller
Publisher : Courier Dover Publications
Page : 417 pages
File Size : 40,9 Mb
Release : 2018-11-14
Category : Mathematics
ISBN : 9780486828343

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Numerical Methods for Two-Point Boundary-Value Problems by Herbert B. Keller Pdf

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.

An Introduction to Numerical Analysis

Endre Süli,David F. Mayers
An Introduction to Numerical Analysis Book PDF

Author : Endre Süli,David F. Mayers
Publisher : Cambridge University Press
Page : 440 pages
File Size : 48,5 Mb
Release : 2003-08-28
Category : Mathematics
ISBN : 0521007941

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An Introduction to Numerical Analysis by Endre Süli,David F. Mayers Pdf

An introduction to numerical analysis combining rigour with practical applications, and providing numerous exercises plus solutions.

Numerical Analysis

Timo Heister,Leo G. Rebholz,Fei Xue
Numerical Analysis Book PDF

Author : Timo Heister,Leo G. Rebholz,Fei Xue
Publisher : Walter de Gruyter GmbH & Co KG
Page : 193 pages
File Size : 47,8 Mb
Release : 2019-03-18
Category : Mathematics
ISBN : 9783110573329

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Numerical Analysis by Timo Heister,Leo G. Rebholz,Fei Xue Pdf

Numerical analysis deals with the development and analysis of algorithms for scientific computing, and is in itself a very important part of mathematics, which has become more and more prevalent across the mathematical spectrum. This book is an introduction to numerical methods for solving linear and nonlinear systems of equations as well as ordinary and partial differential equations, and for approximating curves, functions, and integrals.

Numerical Methods

Anne Greenbaum,Tim P. Chartier
Numerical Methods Book PDF

Author : Anne Greenbaum,Tim P. Chartier
Publisher : Princeton University Press
Page : 471 pages
File Size : 53,8 Mb
Release : 2012-04-01
Category : Mathematics
ISBN : 9781400842674

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Numerical Methods by Anne Greenbaum,Tim P. Chartier Pdf

A rigorous and comprehensive introduction to numerical analysis 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

Introduction to Numerical Analysis

A. Neumaier,Arnold Neumaier
Introduction to Numerical Analysis Book PDF

Author : A. Neumaier,Arnold Neumaier
Publisher : Cambridge University Press
Page : 368 pages
File Size : 48,7 Mb
Release : 2001-10
Category : Mathematics
ISBN : 0521336104

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Introduction to Numerical Analysis by A. Neumaier,Arnold Neumaier Pdf

This textbook provides an introduction to constructive methods that provide accurate approximations to the solution of numerical problems using MATLAB.