A Simple Introduction To Numerical Analysis

Author : R.D Harding,D.A Quinney
Publisher : CRC Press
Page : 190 pages
File Size : 53,8 Mb
Release : 1989-01-01
Category : Mathematics
ISBN : 0852741545

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A Simple Introduction to Numerical Analysis by R.D Harding,D.A Quinney Pdf

Approximation techniques are widely used in mathematics and applied physics, as exact solutions are frequently impossible to obtain. A Simple Introduction to Numerical Analysis, Volume 2: Interpolation and Approximation extends the first volume to consider problems in interpolation and approximation. Topics covered include the construction of interpolating functions, the determination of polynomial and rational function approximations, numerical quadrature, and the solution of boundary value problems in ordinary differential equations. As with the previous volume, the text is integrated with a software package that allows the reader to work through numerous examples. It is also possible to use the software to consider problems that are beyond the scope of the text. The authors' expertise in combining text and software has resulted in a very readable work.

Author : James F. Epperson
Publisher : John Wiley & Sons
Page : 614 pages
File Size : 49,5 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.

Author : Eugene E. Tyrtyshnikov
Publisher : Springer Science & Business Media
Page : 205 pages
File Size : 45,6 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.

Author : Anonim
Publisher : CUP Archive
Page : 88 pages
File Size : 46,7 Mb
Release : 2024-05-10
Category : Electronic
ISBN : 8210379456XXX

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A Short Introduction to Numerical Analysis by Anonim Pdf

Author : Josef Stoer,R. Bulirsch
Publisher : Springer Science & Business Media
Page : 766 pages
File Size : 47,8 Mb
Release : 2002-08-21
Category : Mathematics
ISBN : 9780387954523

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

New edition of a well-known classic in the field; Previous edition sold over 6000 copies worldwide; Fully-worked examples; Many carefully selected problems

Author : Francis Begnaud Hildebrand
Publisher : Courier Corporation
Page : 704 pages
File Size : 50,8 Mb
Release : 1987-01-01
Category : Mathematics
ISBN : 0486653633

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Introduction to Numerical Analysis by Francis Begnaud Hildebrand Pdf

The ultimate aim of the field of numerical analysis is to provide convenient methods for obtaining useful solutions to mathematical problems and for extracting useful information from available solutions which are not expressed in tractable forms. This well-known, highly respected volume provides an introduction to the fundamental processes of numerical analysis, including substantial grounding in the basic operations of computation, approximation, interpolation, numerical differentiation and integration, and the numerical solution of equations, as well as in applications to such processes as the smoothing of data, the numerical summation of series, and the numerical solution of ordinary differential equations. Chapter headings include: l. Introduction 2. Interpolation with Divided Differences 3. Lagrangian Methods 4. Finite-Difference Interpolation 5. Operations with Finite Differences 6. Numerical Solution of Differential Equations 7. Least-Squares Polynomial Approximation In this revised and updated second edition, Professor Hildebrand (Emeritus, Mathematics, MIT) made a special effort to include more recent significant developments in the field, increasing the focus on concepts and procedures associated with computers. This new material includes discussions of machine errors and recursive calculation, increased emphasis on the midpoint rule and the consideration of Romberg integration and the classical Filon integration; a modified treatment of prediction-correction methods and the addition of Hamming's method, and numerous other important topics. In addition, reference lists have been expanded and updated, and more than 150 new problems have been added. Widely considered the classic book in the field, Hildebrand's Introduction to Numerical Analysis is aimed at advanced undergraduate and graduate students, or the general reader in search of a strong, clear introduction to the theory and analysis of numbers.

Author : James F. Epperson
Publisher : John Wiley & Sons
Page : 526 pages
File Size : 48,8 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.

Author : Endre Süli,David F. Mayers
Publisher : Cambridge University Press
Page : 440 pages
File Size : 52,7 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.

Author : J. Stoer,R. Bulirsch
Publisher : Springer Science & Business Media
Page : 674 pages
File Size : 40,7 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.

Author : Kendall Atkinson
Publisher : John Wiley & Sons
Page : 726 pages
File Size : 47,8 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.

Author : A. Neumaier,Arnold Neumaier
Publisher : Cambridge University Press
Page : 368 pages
File Size : 42,8 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.

Author : Anonim
Publisher : Academic Publishers
Page : 312 pages
File Size : 44,9 Mb
Release : 2024-05-10
Category : Electronic
ISBN : 8187504676

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Introduction to Numerical Analysis by Anonim Pdf

Author : Victor S. Ryaben'kii,Semyon V. Tsynkov
Publisher : CRC Press
Page : 564 pages
File Size : 51,9 Mb
Release : 2006-11-02
Category : Mathematics
ISBN : 9781000738285

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A Theoretical Introduction to Numerical Analysis by Victor S. Ryaben'kii,Semyon V. Tsynkov Pdf

A Theoretical Introduction to Numerical Analysis presents the general methodology and principles of numerical analysis, illustrating these concepts using numerical methods from real analysis, linear algebra, and differential equations. The book focuses on how to efficiently represent mathematical models for computer-based study. An access

Author : Abdelwahab Kharab,Ronald Guenther
Publisher : CRC Press
Page : 447 pages
File Size : 40,6 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

Author : Robert D. Harding,Douglas A. Quinney
Publisher : Unknown
Page : 128 pages
File Size : 47,8 Mb
Release : 1986
Category : Electronic
ISBN : OCLC:830916594

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A Simple Introduction to Numerical Analysis by Robert D. Harding,Douglas A. Quinney Pdf