Mathematics

Applied Numerical Methods Using MATLAB

Author: Won Y. Yang,Wenwu Cao,Tae-Sang Chung,John Morris

Publisher: John Wiley & Sons

ISBN: 0471705187

Category: Mathematics

Page: 400

View: 9716

In recent years, with the introduction of new media products, therehas been a shift in the use of programming languages from FORTRANor C to MATLAB for implementing numerical methods. This book makesuse of the powerful MATLAB software to avoid complex derivations,and to teach the fundamental concepts using the software to solvepractical problems. Over the years, many textbooks have beenwritten on the subject of numerical methods. Based on their courseexperience, the authors use a more practical approach and linkevery method to real engineering and/or science problems. The mainbenefit is that engineers don't have to know the mathematicaltheory in order to apply the numerical methods for solving theirreal-life problems. An Instructor's Manual presenting detailed solutions to all theproblems in the book is available online.
Computers

Applied Numerical Methods for Engineers Using MATLAB and C

Author: Robert Joseph Schilling,Sandra L. Harris

Publisher: Brooks/Cole Publishing Company

ISBN: 9780534370145

Category: Computers

Page: 715

View: 7261

This book provides a comprehensive discussion of numerical computing techniques with an emphasis on practical applications in the fields of civil, chemical, electrical, and mechanical engineering. It features two software libraries that implement the algorithms developed in the text - a MATLAB® toolbox, and an ANSI C library. This book is intended for undergraduate students. Each chapter includes detailed case study examples from the four engineering fields with complete solutions provided in MATLAB® and C, detailed objectives, numerous worked-out examples and illustrations, and summaries comparing the numerical techniques. Chapter problems are divided into separate analysis and computation sections. Documentation for the software is provided in text appendixes that also include a helpful review of vectors and matrices. The Instructor's Manual includes a disk with software documentation and complete solutions to both problems and examples in the book.
Technology & Engineering

Numerical Methods for Engineers

Author: Steven C. Chapra,Raymond P. Canale

Publisher: N.A

ISBN: 9789814670876

Category: Technology & Engineering

Page: 970

View: 5268

Numerical Methods for Engineers retains the instructional techniques that have made the text so successful. Chapra and Canale's unique approach opens each part of the text with sections called "Motivation" "Mathematical Background" and "Orientation". Each part closes with an "Epilogue" containing "Trade-Offs" "Important Relationships and Formulas" and "Advanced Methods and Additional References". Much more than a summary the Epilogue deepens understanding of what has been learned and provides a peek into more advanced methods. Numerous new or revised problems are drawn from actual engineering practice. The expanded breadth of engineering disciplines covered is especially evident in these exercises which now cover such areas as biotechnology and biomedical engineering. Excellent new examples and case studies span all areas of engineering giving students a broad exposure to various fields in engineering.McGraw-Hill Education's Connect is also available as an optional add on item. Connect is the only integrated learning system that empowers students by continuously adapting to deliver precisely what they need when they need it how they need it so that class time is more effective. Connect allows the professor to assign homework quizzes and tests easily and automatically grades and records the scores of the student's work. Problems are randomized to prevent sharing of answers an may also have a "multi-step solution" which helps move the students' learning along if they experience difficulty.
MATLAB

Applied Numerical Methods with MATLAB for Engineers and Scientists

Author: Steven C. Chapra

Publisher: N.A

ISBN: 9780071086189

Category: MATLAB

Page: 653

View: 4347

Steven Chapra's Applied Numerical Methods with MATLAB, third edition, is written for engineering and science students who need to learn numerical problem solving. Theory is introduced to inform key concepts which are framed in applications and demonstrated using MATLAB. The book is designed for a one-semester or one-quarter course in numerical methods typically taken by undergraduates. The third edition features new chapters on Eigenvalues and Fourier Analysis and is accompanied by an extensive set of m-files and instructor materials.
Computers

Numerical Analysis and Graphic Visualization with MATLAB

Author: Shoichiro Nakamura

Publisher: Prentice Hall

ISBN: 9780130654892

Category: Computers

Page: 519

View: 9004

PREFACE WHAT THIS BOOK DESCRIBES This book is intended to introduce numerical analysis and graphic visualization using MATLAB to college students majoring in engineering and science.It can also be a handbook of MATLAB applications for professional engi-neers and scientists. The goal is not to teach the mathematics of numericalanalysis, but rather to teach the knowledge and skills of solving equationsand presenting them graphically so that readers can easily handle equationsand results of the computations. With its unique and fascinating capabilities, MATLAB has changed theconcept of programming for numerical and mathematical analyses. Therefore, MATLAB is a superb vehicle to achieve our goal. This book fullyimplements the mathematical and graphic tools in the most recent versionof MATLAB. The following four fundamental elements are integrated in this book: (1)programming in MATLAB, (2) mathematical basics of numerical analysis,(3) application of numerical methods to engineering, scientific, and mathematical problems, and (4) scientific graphics with MATLAB. The first two chapters are comprehensive tutorials of MATLAB commands and graphic tools, particularly for the beginner or entry-level collegestudent. Indeed, these two chapters have been most significantly enhancedin this edition compared to the first edition. In Chapter 1, understandingand developing programming skills on MATLAB are emphasized particularlybecause, unless the reader has knowledge and experience with another pro-gramming language, these are tough hurdles for the beginner to overcome.To acquire the knowledge and skills necessary to read the rest of the book,solving the problems at the end of each chapter is very important. Chapter 2 starts out with the elements of graphics on MATLAB, whichis easy to follow. Yet, toward the end of the chapter, three-dimensionalgraphics on the professional level are achieved. Not only is the programmingtechnique of plotting functions mentioned, but also skills of presenting mathematical and scientific material using graphics are developed throughout thechapter. The graphics knowledge acquired in this chapter are foundationsin learning and applying the numerical methods described in the remainderof the book. Again, practice on the computer is important. Some studentstry to memorize scripts without understanding why and how they work,but such an effort is utterly meaningless. More important is to play with afew new commands, understand how they work and how they may fail, andfinally become a master of the commands. Chapters 3 through 11 cover numerical methods and their implementations with MATLAB. All the numerical methods described are illustratedwith applications on MATLAB. Appendices describe special topics, including advanced three-dimensional graphics with colors, motion pictures, imageprocessing, and graphical user interface. Readers should feel free to use thescripts in this book in any way desired. However, the beginning studentsare advised not to u se these scripts blindly. The students should write theirown scripts. Using the lists of the scripts and function, readers can run most examples and figures on their own computers. The m-files of the scripts can bedownloaded as mentioned later. WHAT IS UNIQUE ABOUT MATLAB? MATLAB may be regarded as a programming language like Fortran or C,although describing it in a few words is difficult. Some of its outstandingfeatures for numerical analyses, however, are: Significantly simpler programming Continuity among integer, real, and complex values Extended range of numbers and their accuracy A comprehensive mathematical library Extensive graphic tools including graphic user interface functions Capability of linking with traditional programming languages Transportability of MATLAB programs An extraordinary feature of MATLAB is that there is no distinction amongreal, complex, and integer numbers. All numbers are in double precision. InMATLAB, all kinds of numbers are continuously connected, as they should be. It means that in MATLAB, any variable can take any type of numberwithout special declaration in programming. This makes programming fasterand more productive. In Fortran, a different subroutine is necessary for eachsingle, double, real or complex, or integer variable, while in MATLAB thereis no need to separate them. The mathematical library in MATLAB makes mathematical analyseseasy. Yet the user can develop additional mathematical routines significantlymore easily than in other programming languages because of the continuitybetween real and complex variables. Among numerous mathematical functions, linear algebra solvers play central roles. Indeed, the whole MATLABsystem is founded upon linear algebra solvers. IMPORTANCE OF GRAPHICS Graphic presentation of mathematical analysis helps the reader to under-stand mathematics and makes it enjoyable. Although this advantage hasbeen well known, presenting computed results with computer graphics wasnot without substantial extra effort in the past. With MATLAB, however,graphic presentations of mathematical material is possible with just a fewcommands. Scientific and even artistic graphic objects can be created on thescreen using mathematical expressions. It has been found that MATLABgraphics motivate and excite students to learn mathematical and numericalmethods that could otherwise be dull. MATLAB graphics are easy and great fun for readers. This book alsoillustrates image processing and production of motion pictures for scientific computing as well as for artistic or hobby material. WILL MATLAB ELIMINATE THE NEED FOR FORTRAN OR C? The answer is no. Fortran and C are still important for high-performancecomputing that requires a large memory or long computing time. The speedof MATLAB computation is significantly slower than that with Fortran orC because MATLAB is paying the high price for the nice features. Learn-ing Fortran or C, however, is not a prerequisite for understanding MATLAB. REFERENCE BOOKS THAT ARE HELPFUL TO LEARN MATLAB This book explains many MATLAB commands but is not intended to be acomplete guide to MATLAB. Readers interested in further information onMATLAB are advised to read User's Guide and Reference Guide. Also, youshould know that over 400 books for use with MATLAB, Simulink, Tool-boxes, and Blocksets have been written. See http://www.mathworks.com/support/books WEB SITE FOR READERS OF THIS BOOK A Web site for readers of this book has been opened at http://olen.eng.ohio-state.ed/matlab This Web site includes additional examples, hints, and color graphics thatcannot be printed in the book. If there are corrections to the text material,they will appear on this Web site. Links to other relevant sites are alsoprovided. HOW TO OBTAIN M-FILES PACKAGE The m-files package that includes all the scripts and functions developed inthe present book are available from the download site of the publisher, whichcan be accessed via the Web site in the foregoing paragraph. The packageincludes the following files: All m-files listed at the end of chapters. All scripts illustrated in the book (except short ones). Scripts to plot typical figures in the book. SOLUTION KEYS Solution keys for the problems for each chapter are available at the end ofthis book. Further help may also be available at the Web site for the readers. HOW TO OBTAIN MORE INFORMATION ABOUT MATLAB The best way to start collecting more information about MATLAB is to visitthe Web site of MATHWORKS athttp://www.mathworks.com For other communication with MathWorks, their address is: The MathWorks, Inc., 3 Apple Hill Drive, Natick ,MA 01760-2098, United StatesPhone: 508-647-7000, Fax: 508-647-7001. LIST OF REVIEWERS The first edition of this book was reviewed by: Professor T. Aldemir, Nuclear Engineering, The Ohio State University, Columbus, Ohio Professor M. Darwish, Mechanical Engineering Department, American University of Beirut, Beirut, Lebanon The MathWorks Inc., Natick, Massacusetts Professor J.K. Shultis, Nuclear Engineering, Kansas State University, Manhattan, Kansas Professor S.V. Sreenivasan, Department of Mechanical Engineering, University of Texas, Austin, Texas
Computers

Numerical Methods

Using MATLAB

Author: George R. Lindfield,John E. T. Penny

Publisher: Academic Press

ISBN: 0123869420

Category: Computers

Page: 534

View: 7305

Penny's name appears first on the earlier edition.
Mathematics

Introduction to Numerical Analysis Using MATLAB®

Author: Rizwan Butt

Publisher: Jones & Bartlett Learning

ISBN: 9780763773762

Category: Mathematics

Page: 600

View: 4193

Part of the new Digital Filmmaker Series! Digital Filmmaking: An Introductionis the first book in the newDigital Filmmaker Series. Designed for an introductory level course in digital filmmaking, it is intended for anyone who has an interest in telling stories with pictures and sound and won't assume any familiarity with equipment or concepts on the part of the student. In addition to the basics of shooting and editing, different story forms are introduced from documentary and live events through fictional narratives. Each of the topics is covered in enough depth to allow anyone with a camera and a computer to begin creating visual projects of quality.
Computers

MATLAB 6.5

Eine Einführung

Author: Christoph Überhuber,Stefan Katzenbeisser

Publisher: Springer-Verlag

ISBN: 3709167450

Category: Computers

Page: 241

View: 9163

Simulation ist neben Theorie und Experiment die dritte Säule wissenschaftlicher Forschung und technischer Entwicklung. Computer-Berechnungen sind zu einer wesentlichen Antriebskraft im Bereich der Technik und der Naturwissenschaften geworden. Speziell für diese Anwendungsbereiche wurde MATLAB entwickelt. MATLAB ist ein auf mathematisch/numerischen Methoden beruhendes Problemlösungswerkzeug, das sowohl bequeme Benutzeroberflächen bietet, als auch die individuelle Programmierung gestattet. MATLAB hat sich durch seine Erweiterungsmöglichkeit in Form von "Toolboxen" zu einem universell einsetzbaren Werkzeug auf den verschiedensten Gebieten (Simulation, Signalverarbeitung, Regelungstechnik, Fuzzy Logic etc.) entwickelt. Dieses Buch ist auf die neueste MATLAB-Version 6.5 abgestimmt und behandelt unter anderem detailliert die Lösung numerischer Problemstellungen mit Hilfe von MATLAB.
Mathematics

Numerical Methods for Engineers and Scientists Using MATLAB®, Second Edition

Author: Ramin S. Esfandiari

Publisher: CRC Press

ISBN: 1498777449

Category: Mathematics

Page: 493

View: 9551

This book provides a pragmatic, methodical and easy-to-follow presentation of numerical methods and their effective implementation using MATLAB, which is introduced at the outset. The author introduces techniques for solving equations of a single variable and systems of equations, followed by curve fitting and interpolation of data. The book also provides detailed coverage of numerical differentiation and integration, as well as numerical solutions of initial-value and boundary-value problems. The author then presents the numerical solution of the matrix eigenvalue problem, which entails approximation of a few or all eigenvalues of a matrix. The last chapter is devoted to numerical solutions of partial differential equations that arise in engineering and science. Each method is accompanied by at least one fully worked-out example showing essential details involved in preliminary hand calculations, as well as computations in MATLAB. This thoroughly-researched resource:
Technology & Engineering

Statistik mit MATHCAD und MATLAB

Einführung in die Wahrscheinlichkeitsrechnung und mathematische Statistik für Ingenieure und Naturwissenschaftler

Author: Hans Benker

Publisher: Springer-Verlag

ISBN: 364256786X

Category: Technology & Engineering

Page: 519

View: 8687

Das Buch gibt eine Einführung in die Wahrscheinlichkeitsrechnung und mathematische Statistik für Ingenieure und Naturwissenschaftler. Ein zweiter Schwerpunkt liegt in der Anwendung der Programmsysteme MATHCAD und MATLAB, die von Ingenieuren und Naturwissenschaftlern bevorzugt eingesetzt werden. Der Autor zeigt, daß sich MATHCAD und MATLAB auch zur Berechnung von Grundaufgaben aus Wahrscheinlichkeitsrechnung und Statistik eignen. Deshalb braucht sich der Ingenieur bei anfallenden Statistikaufgaben nicht zusätzlich in die Bedienung eines Statistik-Programmsystems einzuarbeiten, sondern er kann im vertrauten Rahmen von MATHCAD oder MATLAB arbeiten. Sämtliche im Buch behandelte Gebiete der Wahrscheinlichkeitsrechnung und Statistik sind durch Beispiele illustriert, die mittels MATHCAD und MATLAB berechnet werden. Das Buch kann auch zur Berechnung von mathematischen Grundaufgaben herangezogen werden.
Business & Economics

Top Numerical Methods With Matlab For Beginners!

Author: Andrei Besedin

Publisher: Andrei Besedin via PublishDrive

ISBN: N.A

Category: Business & Economics

Page: 59

View: 348

Are you someone that involves in computation? Numerical methods cover some approaches and popular methods that you use daily. One of the best ways to apply numerical methods in any of your computations is by using Matlab. Yes, Matlab! This might seems like a big deal to you, but we believe it shouldn’t. If you already have the basic math knowledge, fundamental knowledge of computing and some familiarity with Matlab, applying the top numerical methods with Matlab as a beginner is not going to be a problem. With our powerful short product, you will not have any difficulty obtaining numerical solutions to problems. Of course, it is just one of the many benefits our top-notch book has to offer you if you purchase it. Some of the other advantages you can derive from our product are: Top numerical methods with Matlab and how to apply themIt offers navigation index you can use as reference guideIt shows how computations involving vectors and matrices are naturally expressed in MatlabAlso, you will know how numerical methods work and why they failExamples are provided for you to have a better understanding The advantages above are just little out of the huge benefits our top winning short book is ready to offer you. We know our book does not provide ultimate information about Matlab. But we have a primary goal, and it is to provide a solid foundation in top numerical methods using Matlab, most especially for beginners. Buying our book could save you about US$1000 which can take care of some other budgets. You don’t need to wait until tomorrow before you buy this incredibly advantageous short book. Start using numerical methods to obtain approximate solutions to problems that are not obtainable by other means today. To have the basic knowledge of the top numerical methods with Matlab all you need is just one click that can make the difference. Click the buy button at the upper right side of the page. Utilize this one in a million opportunity before it is too late. Grab your copy of the top winning book now!
Mathematics

Wissenschaftliches Rechnen mit MATLAB

Author: Alfio Quarteroni,Fausto Saleri

Publisher: Springer-Verlag

ISBN: 3540293078

Category: Mathematics

Page: 269

View: 4844

Aus den Rezensionen der englischen Auflage: Dieses Lehrbuch ist eine Einführung in das Wissenschaftliche Rechnen und diskutiert Algorithmen und deren mathematischen Hintergrund. Angesprochen werden im Detail nichtlineare Gleichungen, Approximationsverfahren, numerische Integration und Differentiation, numerische Lineare Algebra, gewöhnliche Differentialgleichungen und Randwertprobleme. Zu den einzelnen Themen werden viele Beispiele und Übungsaufgaben sowie deren Lösung präsentiert, die durchweg in MATLAB formuliert sind. Der Leser findet daher nicht nur die graue Theorie sondern auch deren Umsetzung in numerischen, in MATLAB formulierten Code. MATLAB select 2003, Issue 2, p. 50. [Die Autoren] haben ein ausgezeichnetes Werk vorgelegt, das MATLAB vorstellt und eine sehr nützliche Sammlung von MATLAB Funktionen für die Lösung fortgeschrittener mathematischer und naturwissenschaftlicher Probleme bietet. [...] Die Präsentation des Stoffs ist durchgängig gut und leicht verständlich und beinhaltet Lösungen für die Übungen am Ende jedes Kapitels. Als exzellenter Neuzugang für Universitätsbibliotheken- und Buchhandlungen wird dieses Buch sowohl beim Selbststudium als auch als Ergänzung zu anderen MATLAB-basierten Büchern von großem Nutzen sein. Alles in allem: Sehr empfehlenswert. Für Studenten im Erstsemester wie für Experten gleichermassen. S.T. Karris, University of California, Berkeley, Choice 2003.
Computers

Numerical methods for engineers and scientists

an introduction with applications using Matlab

Author: Amos Gilat,Vish Subramaniam

Publisher: John Wiley & Sons Inc

ISBN: 9780471734406

Category: Computers

Page: 459

View: 4255

A clear and concise guide to numerical methods and their application Mastering numerical methods has never been easier than with Gilat/Subramaniam\'s Numerical Methods For Engineers and Scientists: An Introduction with Applications Using MATLAB(r). Uniquely accessible and concise, this book takes an innovative approach that integrates the study of numerical methods with hands-on programming practice using the popular MATLAB environment to solve realistic problems in engineering and science. Ideal for both students and professionals who would like to become more adept at numerical methods, Numerical Methods For Engineers and Scientists familiarizes you with: * The mathematical background and fundamentals of numerical methods * Solving nonlinear equations * Solving a system of linear equations * Eigenvalues and Eigenvectors * Function approximation, curve fitting, and interpolation * Differentiation * Integration * First-order and higher-order ODEs * Initial and boundary value problems Using MATLAB\'s built-in functions as tools for solving problems, you will practice applying numerical methods for analysis of real-world problems. All the information is presented in manageable, step-by-step fashion, supported by a large number of annotated examples and end-of-chapter problems. Lucid, carefully structured, and flexibly designed to fulfill a wide range of academic and practical needs, this book will help you develop the skills in numerical methods that will serve you well as a practicing engineer. About the Authors: Amos Gilat, Ph.D., is Professor of Mechanical Engineering at The Ohio State University. Dr. Gilat\'s main research interests are in plasticity, specifically, in developing experimental techniques for testing materials over a wide range of strain rates and temperatures and in investigating constitutive relations for viscoplasticity. Dr. Gilat\'s research has been supported by the National Science Foundation, NASA, Department of Energy, Department of Defense, and various industries. Vish Subramaniam, Ph.D., is Professor of Mechanical Engineering & Chemical Physics at The Ohio State University. Dr. Subramaniam\'s main research interests are in plasma and laser physics and processes, particularly those that involve non-equilibrium phenomena. Dr. Subramaniam\'s research is both experimental and computational, and has been supported by the Department of Defense, National Science Foundation, and numerous industries.
Computers

Matlab für Dummies

Author: Jim Sizemore

Publisher: John Wiley & Sons

ISBN: 352780871X

Category: Computers

Page: 416

View: 9522

Ob Naturwissenschaftler, Mathematiker, Ingenieur oder Datenwissenschaftler - mit MATLAB haben Sie ein mächtiges Tool in der Hand, das Ihnen die Arbeit mit Ihren Daten erleichtert. Aber wie das mit manch mächtigen Dingen so ist - es ist auch ganz schön kompliziert. Aber keine Sorge! Jim Sizemore führt Sie in diesem Buch Schritt für Schritt an das Programm heran - von der Installation und den ersten Skripten bis hin zu aufwändigen Berechnungen, der Erstellung von Grafiken und effizienter Fehlerbehebung. Sie werden begeistert sein, was Sie mit MATLAB alles anstellen können.

Numerical Methods with MATLAB

Author: Dana Zelenko

Publisher: N.A

ISBN: 9781681171654

Category:

Page: 240

View: 4217

Numerical analysis is a branch of mathematics that solves continuous problems using numeric approximation. It contains designing methods that give estimated but numeric solutions, which is useful in cases where the exact solutions is impossible or prohibitively expensive to calculate. Numerical analysis also contains characterizing the convergence, accuracy, stability and computational complexity of these methods. MATLAB® is widely used for applied numerical analysis in engineering, computational finance and computational biology. It delivers a range of numerical methods for: Interpolation, extrapolation and regression, differentiation and integration; linear systems of equations; eigenvalues and singular values; Ordinary differential equations; partial differential equations. Numerical methods using MATLAB gives the fundamental theory of each method rather that providing a detailed numerical analysis. This book provides a fundamental introduction to numerical analysis and a reference tool for students, professionals and researchers in mathematics, computer science, physical sciences and engineering.
Mathematics

Numerical Techniques for Chemical and Biological Engineers Using MATLAB®

A Simple Bifurcation Approach

Author: Said S.E.H. Elnashaie,Frank Uhlig

Publisher: Springer Science & Business Media

ISBN: 0387681671

Category: Mathematics

Page: 590

View: 8168

This interdisciplinary book presents numerical techniques needed for chemical and biological engineers using Matlab. The book begins by exploring general cases, and moves on to specific ones. The text includes a large number of detailed illustrations, exercises and industrial examples. The book provides detailed mathematics and engineering background in the appendixes, including an introduction to Matlab. The text will be useful to undergraduate students in chemical/biological engineering, and in applied mathematics and numerical analysis.
Mathematics

Computational Partial Differential Equations Using MATLAB

Author: Jichun Li,Yi-Tung Chen

Publisher: CRC Press

ISBN: 9781420089059

Category: Mathematics

Page: 378

View: 3933

This textbook introduces several major numerical methods for solving various partial differential equations (PDEs) in science and engineering, including elliptic, parabolic, and hyperbolic equations. It covers traditional techniques that include the classic finite difference method and the finite element method as well as state-of-the-art numerical methods, such as the high-order compact difference method and the radial basis function meshless method. Helps Students Better Understand Numerical Methods through Use of MATLAB® The authors uniquely emphasize both theoretical numerical analysis and practical implementation of the algorithms in MATLAB, making the book useful for students in computational science and engineering. They provide students with simple, clear implementations instead of sophisticated usages of MATLAB functions. All the Material Needed for a Numerical Analysis Course Based on the authors’ own courses, the text only requires some knowledge of computer programming, advanced calculus, and difference equations. It includes practical examples, exercises, references, and problems, along with a solutions manual for qualifying instructors. Students can download MATLAB code from www.crcpress.com, enabling them to easily modify or improve the codes to solve their own problems.
Mathematics

An Introduction to Numerical Methods

A MATLAB Approach, Third Edition

Author: Abdelwahab Kharab,Ronald B. Guenther

Publisher: CRC Press

ISBN: 1439868999

Category: Mathematics

Page: 576

View: 559

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.