An Introduction To Numerical Methods And Analysis

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An Introduction to Numerical Methods and Analysis :

Mathematics

Author - James F. Epperson
Publisher - John Wiley & Sons
Pages - 663
ISBN - 1118626230


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An Introduction to Numerical Methods and Analysis :

Mathematics

Author - James F. Epperson
Publisher - John Wiley & Sons
Pages - 614
ISBN - 1118367596


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Detail -

An Introduction to Numerical Methods and Analysis :

Mathematics

Author - James F. Epperson
Publisher - John Wiley & Sons
Pages - 590
ISBN - 0470049634


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Detail - 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.

Solutions Manual to accompany An Introduction to Numerical Methods and Analysis :

Mathematics

Author - James F. Epperson
Publisher - John Wiley & Sons
Pages - 316
ISBN - 111855213X


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Detail - 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 theSecond 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 : A MATLAB Approach, Third Edition

Mathematics

Author - Abdelwahab Kharab, Ronald B. Guenther
Publisher - CRC Press
Pages - 576
ISBN - 1439868999


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Detail - Highly recommended by CHOICE, previous editions of this popular textbook offered an accessible and practical introduction to numerical analysis. An Introduction to Numerical Methods: A MATLAB® Approach, Third 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 computer results so that the main steps are easily visualized and interpreted. New to the Third Edition A chapter on the numerical solution of integral equations A section on nonlinear partial differential equations (PDEs) in the last chapter Inclusion of MATLAB GUIs throughout the text The book begins with simple theoretical and computational topics, including computer floating point arithmetic, errors, interval arithmetic, and the root of equations. After presenting direct and iterative methods for solving systems of linear equations, the authors discuss interpolation, spline functions, concepts of least-squares data fitting, and numerical optimization. They then focus on numerical differentiation and efficient integration techniques as well as a variety of numerical techniques for solving linear integral equations, ordinary differential equations, and boundary-value problems. The book concludes with numerical techniques for computing the eigenvalues and eigenvectors of a matrix and for solving PDEs. CD-ROM Resource The accompanying CD-ROM contains simple MATLAB functions that help students understand how the methods work. These functions provide a clear, step-by-step explanation of the mechanism behind the algorithm of each numerical method and guide students through the calculations necessary to understand the algorithm. Written in an easy-to-follow, simple style, this text improves students’ ability to master the theoretical and practical elements of the methods. Through this book, they will be able to solve many numerical problems using MATLAB.

A Graduate Introduction to Numerical Methods : From the Viewpoint of Backward Error Analysis

Mathematics

Author - Robert Corless, Nicolas Fillion
Publisher - Springer Science & Business Media
Pages - 869
ISBN - 1461484537


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Detail - 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 :

Mathematics

Author - Endre Süli, David F. Mayers
Publisher - Cambridge University Press
Pages - 433
ISBN - 9780521007948


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Detail - Introduction to numerical analysis combining rigour with practical applications. Numerous exercises plus solutions.

An Introduction to Numerical Methods and Optimization Techniques :

Mathematics

Author - Richard W. Daniels
Publisher -
Pages - 293
ISBN -


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Detail -

Scientific Computing and Differential Equations : An Introduction to Numerical Methods

Computers

Author - Gene Howard Golub, James M. Ortega
Publisher - Academic Press
Pages - 337
ISBN - 9780122892554


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Detail - A book that emphasizes the importance of solving differential equations on a computer, which comprises a large part of what has come to be called scientific computing. An introductory chapter on this topic gives an overview of modern scientific computing, outlining its applications and placing the subject in a larger context.

An Introduction to Numerical Analysis for Electrical and Computer Engineers :

Mathematics

Author - Christopher J. Zarowski
Publisher - John Wiley & Sons
Pages - 608
ISBN - 9780471650409


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Detail - This book is an introduction to numerical analysis and intends to strike a balance between analytical rigor and the treatment of particular methods for engineering problems Emphasizes the earlier stages of numerical analysis for engineers with real-life problem-solving solutions applied to computing and engineering Includes MATLAB oriented examples An Instructor's Manual presenting detailed solutions to all the problems in the book is available from the Wiley editorial department.

Introduction to Numerical Analysis :

Mathematics

Author - Arnold Neumaier
Publisher - Cambridge University Press
Pages - 356
ISBN - 9780521336109


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Detail - This 2001 textbook provides an introduction to constructive methods that provide accurate approximations to the solution of numerical problems using MATLAB.

Numerical Methods for Scientists and Engineers :

Mathematics

Author - Richard Hamming
Publisher - Courier Corporation
Pages - 752
ISBN - 0486134822


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Detail - This inexpensive paperback edition of a groundbreaking text stresses frequency approach in coverage of algorithms, polynomial approximation, Fourier approximation, exponential approximation, and other topics. Revised and enlarged 2nd edition.