Search results for: an-introduction-to-numerical-analysis

An Introduction to Numerical Analysis

Author : Endre Süli
File Size : 46.86 MB
Format : PDF, Docs
Download : 312
Read : 199
Download »
Introduction to numerical analysis combining rigour with practical applications. Numerous exercises plus solutions.

An Introduction to Numerical Methods and Analysis

Author : James F. Epperson
File Size : 33.26 MB
Format : PDF, ePub
Download : 961
Read : 774
Download »
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.

Introduction to Numerical Analysis

Author : F. B. Hildebrand
File Size : 29.44 MB
Format : PDF, Mobi
Download : 737
Read : 1242
Download »
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.

Solutions Manual to accompany An Introduction to Numerical Methods and Analysis

Author : James F. Epperson
File Size : 34.25 MB
Format : PDF, ePub, Mobi
Download : 589
Read : 1057
Download »
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

An Introduction to Numerical Methods

Author : Abdelwahab Kharab
File Size : 31.64 MB
Format : PDF, ePub
Download : 963
Read : 550
Download »
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.

An Introduction to Numerical Methods and Analysis

Author : James F. Epperson
File Size : 34.65 MB
Format : PDF, Docs
Download : 713
Read : 256
Download »
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.

Introduction to Numerical Analysis

Author : Alastair Wood
File Size : 82.5 MB
Format : PDF, ePub
Download : 487
Read : 978
Download »
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.

An Introduction to Numerical Methods

Author : Abdelwahab Kharab
File Size : 52.33 MB
Format : PDF, Kindle
Download : 745
Read : 1175
Download »
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.

Introduction to Numerical Analysis

Author : A. Neumaier
File Size : 54.21 MB
Format : PDF, ePub, Mobi
Download : 754
Read : 616
Download »
This textbook provides an introduction to constructive methods that provide accurate approximations to the solution of numerical problems using MATLAB.

An Introduction to Numerical Methods in C

Author : Brian Hilton Flowers
File Size : 24.10 MB
Format : PDF
Download : 412
Read : 748
Download »
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.

AN INTRODUCTION TO NUMERICAL ANALYSIS 2ND ED

Author : Kendall E. Atkinson
File Size : 89.68 MB
Format : PDF, ePub
Download : 118
Read : 304
Download »
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.

Introduction to Numerical Analysis

Author :
File Size : 35.43 MB
Format : PDF, ePub
Download : 244
Read : 1243
Download »

Introduction to Numerical Analysis

Author : Devi Prasad
File Size : 36.5 MB
Format : PDF, Docs
Download : 572
Read : 453
Download »
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.

Introduction To Numerical Computation An Second Edition

Author : Shen Wen
File Size : 71.25 MB
Format : PDF, ePub
Download : 672
Read : 1004
Download »
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.

An Introduction to Numerical Analysis for Electrical and Computer Engineers

Author : Christopher J. Zarowski
File Size : 77.79 MB
Format : PDF, ePub, Docs
Download : 625
Read : 942
Download »
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.

Introduction to Numerical Analysis

Author : J. Stoer
File Size : 84.23 MB
Format : PDF, Kindle
Download : 203
Read : 593
Download »
This book is based on a one-year introductory course on numerical analysis given by the authors at several universities in Germany and the United States. The authors concentrate on methods which can be worked out on a digital computer. For important topics, algorithmic descriptions (given more or less formally in ALGOL 60), as well as thorough but concise treatments of their theoretical founda tions, are provided. Where several methods for solving a problem are presented, comparisons of their applicability and limitations are offered. Each comparison is based on operation counts, theoretical properties such as convergence rates, and, more importantly, the intrinsic numerical properties that account for the reliability or unreliability of an algorithm. Within this context, the introductory chapter on error analysis plays a special role because it precisely describes basic concepts, such as the numerical stability of algorithms, that are indispensable in the thorough treatment of numerical questions. The remaining seven chapters are devoted to describing numerical methods in various contexts. In addition to covering standard topics, these chapters encom pass some special subjects not usually found in introductions to numerical analysis. Chapter 2, which discusses interpolation, gives an account of modem fast Fourier transform methods. In Chapter 3, extrapolation techniques for spe~d ing up the convergence of discretization methods in connection with Romberg integration are explained at length.

A Theoretical Introduction to Numerical Analysis

Author : Victor S. Ryaben'kii
File Size : 27.11 MB
Format : PDF, ePub, Mobi
Download : 701
Read : 388
Download »
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.

Introduction to Numerical Analysis

Author : Josef Stoer
File Size : 90.76 MB
Format : PDF, ePub, Mobi
Download : 802
Read : 355
Download »
New edition of a well-known classic in the field; Previous edition sold over 6000 copies worldwide; Fully-worked examples; Many carefully selected problems

A Brief Introduction to Numerical Analysis

Author : Evgeniĭ Evgenʹevich Tyrtyshnikov
File Size : 20.89 MB
Format : PDF, Kindle
Download : 859
Read : 677
Download »
This is an advanced textbook based on lectures delivered at the Moscow Physico-Technical Institute. Brevity, logical organization of the material, and a sometimes lighthearted approach are distinctive features of this modest book. The author makes the reader an active participant by asking questions, hinting, giving direct recommendations, comparing different methods, and discussing "pessimistic" and "optimistic" approaches to numerical analysis in a short time. Since matrix analysis underlies numerical methods and the author is an expert in this field, emphasis in the book is on methods and algorithms of matrix analysis. Also considered are function approximations, methods of solving nonlinear equations and minimization methods. Alongside classical methods, new results and approaches developed over the last few years are discussed - namely those on spectral distribution theory and what it gives for design and proof of modern preconditioning strategies for large-scale linear algebra problems. Advanced students and graduate students majoring in computer science, physics and mathematics will find this book helpful. It can be equally useful for advanced readers and researchers in providing them with new findings and new accessible views of the basic mathematical framework.

Numerical Analysis and Optimization

Author : Grégoire Allaire
File Size : 30.67 MB
Format : PDF, ePub, Mobi
Download : 928
Read : 349
Download »
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.