An Introduction to Numerical Analysis

An Introduction to Numerical Analysis

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

Author: Endre Süli

Publisher: Cambridge University Press

ISBN: 0521007941

Category: Mathematics

Page: 433

View: 737

Introduction to numerical analysis combining rigour with practical applications. Numerous exercises plus solutions.
Categories: Mathematics

Introduction to Numerical Analysis

Introduction to Numerical Analysis

Computation, approximation, interpolation, numerical differentiation and integration, smoothing of data, more. Includes 150 additional problems in this edition.

Author: F. B. Hildebrand

Publisher: Courier Corporation

ISBN: 9780486318554

Category: Mathematics

Page: 669

View: 261

Well-known, respected introduction, updated to integrate concepts and procedures associated with computers. Computation, approximation, interpolation, numerical differentiation and integration, smoothing of data, more. Includes 150 additional problems in this edition.
Categories: Mathematics

An Introduction to Numerical Methods and Analysis

An Introduction to Numerical Methods and Analysis

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 ...

Author: James F. Epperson

Publisher: John Wiley & Sons

ISBN: 9781118367599

Category: Mathematics

Page: 614

View: 667

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.
Categories: Mathematics

An Introduction to Numerical Methods

An Introduction to Numerical Methods

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.

Author: Abdelwahab Kharab

Publisher: CRC Press

ISBN: 9781439868997

Category: Mathematics

Page: 576

View: 780

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.
Categories: Mathematics

Solutions Manual to accompany An Introduction to Numerical Methods and Analysis

Solutions Manual to accompany An Introduction to Numerical Methods and Analysis

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 ...

Author: James F. Epperson

Publisher: John Wiley & Sons

ISBN: 9781118552131

Category: Mathematics

Page: 316

View: 728

A solutions manual to accompany An Introduction toNumerical Methods and Analysis, Second Edition An Introduction to Numerical Methods and Analysis, SecondEdition reflects the latest trends in the field, includesnew material and revised exercises, and offers a unique emphasis onapplications. The author clearly explains how to both construct andevaluate approximations for accuracy and performance, which are keyskills in a variety of fields. A wide range of higher-level methodsand solutions, including new topics such as the roots ofpolynomials, spectral collocation, finite element ideas, andClenshaw-Curtis quadrature, are presented from an introductoryperspective, and theSecond Edition also features: ulstyle="line-height: 25px; margin-left: 15px; margin-top: 0px; font-family: Arial; font-size: 13px;" Chapters and sections that begin with basic, elementarymaterial followed by gradual coverage of more advancedmaterial Exercises ranging from simple hand computations to challengingderivations and minor proofs to programming exercises Widespread exposure and utilization of MATLAB® An appendix that contains proofs of various theorems and othermaterial
Categories: Mathematics

A Theoretical Introduction to Numerical Analysis

A Theoretical Introduction to Numerical Analysis

The book focuses on how to efficiently represent mathematical models for computer-based study. An accessible yet rigorous mathematical introduction, this book provides a pedagogical account of the fundamentals of numerical analysis.

Author: Victor S. Ryaben'kii

Publisher: CRC Press

ISBN: 1584886072

Category: Mathematics

Page: 552

View: 606

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 accessible yet rigorous mathematical introduction, this book provides a pedagogical account of the fundamentals of numerical analysis. The authors thoroughly explain basic concepts, such as discretization, error, efficiency, complexity, numerical stability, consistency, and convergence. The text also addresses more complex topics like intrinsic error limits and the effect of smoothness on the accuracy of approximation in the context of Chebyshev interpolation, Gaussian quadratures, and spectral methods for differential equations. Another advanced subject discussed, the method of difference potentials, employs discrete analogues of Calderon’s potentials and boundary projection operators. The authors often delineate various techniques through exercises that require further theoretical study or computer implementation. By lucidly presenting the central mathematical concepts of numerical methods, A Theoretical Introduction to Numerical Analysis provides a foundational link to more specialized computational work in fluid dynamics, acoustics, and electromagnetism.
Categories: Mathematics

A Friendly Introduction to Numerical Analysis

A Friendly Introduction to Numerical Analysis

An introduction to the fundamental concepts and techniques of numerical analysis and numerical methods.

Author: Brian Bradie

Publisher: Pearson Education India

ISBN: 8131709426

Category: Numerical analysis

Page: 933

View: 130

Categories: Numerical analysis

An Introduction to Numerical Analysis for Electrical and Computer Engineers

An Introduction to Numerical Analysis for Electrical and Computer Engineers

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 ...

Author: Christopher J. Zarowski

Publisher: John Wiley & Sons

ISBN: 0471650404

Category: Mathematics

Page: 608

View: 222

This book is an introduction to numerical analysis and intendsto strike a balance between analytical rigor and the treatment ofparticular methods for engineering problems Emphasizes the earlier stages of numerical analysis forengineers with real-life problem-solving solutions applied tocomputing and engineering Includes MATLAB oriented examples An Instructor's Manual presenting detailed solutions to all theproblems in the book is available from the Wiley editorialdepartment.
Categories: Mathematics

Introduction to Numerical Analysis

Introduction to Numerical Analysis

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: J. Stoer

Publisher: Springer Science & Business Media

ISBN: 9780387217383

Category: Mathematics

Page: 746

View: 742

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

Introduction to Numerical Analysis

Introduction to Numerical Analysis

Computer skills and real applications are stressed as Wood explores such topics as the Taylor Series, Maclaurin Series, Jacobi Iteration and Gauss-Seidel iteration. For novice Numerical Analysts.

Author: Alastair S. Wood

Publisher: Addison Wesley Longman

ISBN: PSU:000046232267

Category: Mathematics

Page: 349

View: 214

Author Alastair Wood provides a clear and concise book for novice numerical analysts. Computer based experiments allow readers to learn by doing. Methods are developed with sufficient background, allowing readers to see why a method works and when a method does not work. Wood offers an introduction to the more basic theoretical elements, as well as generating practical skills. Computer skills and real applications are stressed as Wood explores such topics as the Taylor Series, Maclaurin Series, Jacobi Iteration and Gauss-Seidel iteration. For novice Numerical Analysts.
Categories: Mathematics

Introduction to Numerical Analysis

Introduction to Numerical Analysis

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

Author: A. Neumaier

Publisher: Cambridge University Press

ISBN: 0521336104

Category: Mathematics

Page: 356

View: 619

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

AN INTRODUCTION TO NUMERICAL ANALYSIS 2ND ED

AN INTRODUCTION TO NUMERICAL ANALYSIS  2ND ED

Market_Desc: · Mathematics Students · Instructors About The Book: This Second Edition of a standard numerical analysis text retains organization of the original edition, but all sections have been revised, some extensively, and ...

Author: Kendall E. Atkinson

Publisher: John Wiley & Sons

ISBN: 8126518502

Category:

Page: 712

View: 502

Market_Desc: · Mathematics Students · Instructors About The Book: 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.
Categories:

Introduction to Numerical Analysis

Introduction to Numerical Analysis

The text contains derivation of algorithms for solving engineering and science problems and also deals with error analysis. It has numerical examples suitable for solving through computers.

Author: Devi Prasad

Publisher: Alpha Science Int'l Ltd.

ISBN: 1842652117

Category: Mathematics

Page: 349

View: 161

An Introduction to Numerical Analysis is designed for a first course on numerical analysis for students of Science and Engineering including Computer Science. The text contains derivation of algorithms for solving engineering and science problems and also deals with error analysis. It has numerical examples suitable for solving through computers. The special features are comparative efficiency and accuracy of various algorithms due to finite digit arithmetic used by the computers.
Categories: Mathematics

Numerical Analysis and Optimization

Numerical Analysis and Optimization

This work familiarises students with mathematical models (PDEs) and methods of numerical solution and optimisation.

Author: Grégoire Allaire

Publisher: Oxford University Press

ISBN: 9780199205219

Category: Mathematics

Page: 455

View: 605

This work familiarises students with mathematical models (PDEs) and methods of numerical solution and optimisation. Including numerous exercises and examples, this is an ideal text for advanced students in Applied Mathematics, Engineering, Physical Science and Computer Science.
Categories: Mathematics

An Introduction to Numerical Methods for the Physical Sciences

An Introduction to Numerical Methods for the Physical Sciences

This book provides a concise, self-contained introduction to the basic numerical and analytic techniques, which form the foundations of the algorithms commonly employed to give a quantitative description of systems of genuine physical ...

Author: Colm T. Whelan

Publisher: Morgan & Claypool Publishers

ISBN: 9781681738734

Category: Mathematics

Page: 166

View: 114

There is only a very limited number of physical systems that can be exactly described in terms of simple analytic functions. There are, however, a vast range of problems which are amenable to a computational approach. This book provides a concise, self-contained introduction to the basic numerical and analytic techniques, which form the foundations of the algorithms commonly employed to give a quantitative description of systems of genuine physical interest. The methods developed are applied to representative problems from classical and quantum physics.
Categories: Mathematics

An Introduction to Numerical Methods in C

An Introduction to Numerical Methods in C

This text on numerical computing, presented through the medium of the C++ language, is designed for students of science and engineering who are serriously studying nummerical methods for the first time.

Author: Brian Hilton Flowers

Publisher: Oxford University Press on Demand

ISBN: 0198506937

Category: Computers

Page: 555

View: 676

This text on numerical computing, presented through the medium of the C++ language, is designed for students of science and engineering who are serriously studying nummerical methods for the first time. It should also be of interest to computing scientists who wish to see how C++ can be used in earnest for nummerical computation. The mathematical prerequisites are those which an undergraduate student of science or engineering might be expected to possess after the earlier years of study: elementary calculus, linear algebra, and differential equations. In computing, a good knowledge, such as Basic, Fortran, or Pascal, is asumed, while a working knowledge of C would be an advantage. However, no prior knowledge of C++ is assumed. The language is developed in step with its numerical applications. Features of the language not used here are ignored. What remains, however, is a powerful framework for numerical computations and more than enough for an introductory text.
Categories: Computers

A Short Introduction to Numerical Analysis

A Short Introduction to Numerical Analysis

This short book sets out the principles of the methods commonly employed in obtaining numerical solutions to mathematical equations and shows how they are applied in solving particular types of equations.

Author: M. V. Wilkes

Publisher: CUP Archive

ISBN: 0521094127

Category: Mathematics

Page: 76

View: 234

This short book sets out the principles of the methods commonly employed in obtaining numerical solutions to mathematical equations and shows how they are applied in solving particular types of equations. Now that computing facilities are available to most universities, scientific and engineering laboratories and design shops, an introduction to numerical method is an essential part of the training of scientists and engineers. A course on the lines of Professor Wilkes's book is given to graduate or undergraduate students of mathematics, the physical sciences and engineering at many universities and the number will increase. By concentrating on the essentials of his subject and giving it a modern slant, Professor Wilkes has written a book that is both concise and that covers the needs of a great many users of digital computers; it will serve also as a sound introduction for those who need to consult more detailed works.
Categories: Mathematics

Introduction To Numerical Computation An Second Edition

Introduction To Numerical Computation  An  Second Edition

This book serves as a set of lecture notes for a senior undergraduate level course on the introduction to numerical computation, which was developed through 4 semesters of teaching the course over 10 years.

Author: Wen Shen

Publisher: World Scientific

ISBN: 9789811204432

Category: Mathematics

Page: 340

View: 115

This book serves as a set of lecture notes for a senior undergraduate level course on the introduction to numerical computation, which was developed through 4 semesters of teaching the course over 10 years. The book requires minimum background knowledge from the students, including only a three-semester of calculus, and a bit on matrices.The book covers many of the introductory topics for a first course in numerical computation, which fits in the short time frame of a semester course. Topics range from polynomial approximations and interpolation, to numerical methods for ODEs and PDEs. Emphasis was made more on algorithm development, basic mathematical ideas behind the algorithms, and the implementation in Matlab.The book is supplemented by two sets of videos, available through the author's YouTube channel. Homework problem sets are provided for each chapter, and complete answer sets are available for instructors upon request.The second edition contains a set of selected advanced topics, written in a self-contained manner, suitable for self-learning or as additional material for an honored version of the course. Videos are also available for these added topics.
Categories: Mathematics