# Numerical Analysis, 10e Companion Website

## Introduction

The first edition of the Burden & Faires Numerical Analysis book was published more than 35 years ago, in the decade after major advances in numerical techniques were made to reflect the new widespread availability of computer equipment. It was designed to provide a first introduction to the techniques of mathematical approximation, measurement of error, and scientific computing for students with minimal mathematical background. There is sufficient material included in the book to permit a full-year course for mathematics majors at the undergraduate level, or for students in other disciplines at the undergraduate or beginning graduate level.

In the latest revision of the book by Burden, Faires, Burden, we have added new techniques in an attempt to keep our treatment current. To continue this trend, we have made a number of significant changes for this edition.

Some of the examples in the book have been rewritten to better emphasize the problem being solved before the solution is given. Additional steps have been added to some of the examples to explicitly show the computations required for the first steps of iteration processes. This gives the reader a way to test and debug programs they have written for problems similar to the examples.

Chapter Exercises have been split into computational, applied, and theoretical to give the instructor more flexibility in assigning homework. In almost all of the computational situations, the exercises have been paired in an odd-even manner. Since the odd problems are answered in the back of the text, if even problems were assigned as homework, students could work the odd problems and check their answer prior to doing the even problem.

Many new applied exercises have been added to the text.

Discussion questions have been added after each chapter section primarily for instructor use in online courses.

The last section of each chapter has been renamed and split into four subsections: Numerical Software, Discussion Questions, Key Concepts, and Chapter Review. Many of these discussion questions point the student to modern areas of research in software development.

Parts of the text were reorganized to facilitate online instruction.

Additional power points have been added to supplement the reading material.

The bibliographic material has been updated to reflect new edition of books that we reference. New sources have been added that were not previously available.

As always with our revisions, every sentence was examined to determine if it was phrased in a manner that best relates what we are trying to describe.

The Tenth edition of this book was released in January of 2015 for the North American market by Brooks-Cole: Cengage Learning with (ISBN-13: 978-0-538-73351-9; ISBN-10: 0-538-73351-9). Details concerning the book can be found at Numerical Analysis Tenth edition.

If you have any comments about the current edition or are interested in doing a pre-revison review of this book please contact me at burden@math.ysu.edu or amburden@ysu.edu.

## Objectives

This site has been created by Annette M. Burden and Richard L. Burden in order to provide both faculty who adopt the text and students use the text additional supplemental materials.

Copyright © 2015

All rights reserved. No material this website may be reproduced, distributed, or transmitted in any form or by any means, including photocopying, recording, or other electronic or mechanical methods, without the prior written permission of the authors, except in the case of brief quotations embodied in critical reviews and certain other noncommercial uses permitted by copyright law. For permission requests, write or email one of the authors, addressed “Attention: Permissions,” at the address below.

Richard L. Burden/Annette M. Burden

Department of Mathematics & Statistics

Youngstown State University

One University Plaza

Youngstown, OH 44555-0001

## Introduction

The first edition of the Burden & Faires Numerical Analysis book was published more than 35 years ago, in the decade after major advances in numerical techniques were made to reflect the new widespread availability of computer equipment. It was designed to provide a first introduction to the techniques of mathematical approximation, measurement of error, and scientific computing for students with minimal mathematical background. There is sufficient material included in the book to permit a full-year course for mathematics majors at the undergraduate level, or for students in other disciplines at the undergraduate or beginning graduate level.

In the latest revision of the book by Burden, Faires, Burden, we have added new techniques in an attempt to keep our treatment current. To continue this trend, we have made a number of significant changes for this edition.

Some of the examples in the book have been rewritten to better emphasize the problem being solved before the solution is given. Additional steps have been added to some of the examples to explicitly show the computations required for the first steps of iteration processes. This gives the reader a way to test and debug programs they have written for problems similar to the examples.

Chapter Exercises have been split into computational, applied, and theoretical to give the instructor more flexibility in assigning homework. In almost all of the computational situations, the exercises have been paired in an odd-even manner. Since the odd problems are answered in the back of the text, if even problems were assigned as homework, students could work the odd problems and check their answer prior to doing the even problem.

Many new applied exercises have been added to the text.

Discussion questions have been added after each chapter section primarily for instructor use in online courses.

The last section of each chapter has been renamed and split into four subsections: Numerical Software, Discussion Questions, Key Concepts, and Chapter Review. Many of these discussion questions point the student to modern areas of research in software development.

Parts of the text were reorganized to facilitate online instruction.

Additional power points have been added to supplement the reading material.

The bibliographic material has been updated to reflect new edition of books that we reference. New sources have been added that were not previously available.

As always with our revisions, every sentence was examined to determine if it was phrased in a manner that best relates what we are trying to describe.

The Tenth edition of this book was released in January of 2015 for the North American market by Brooks-Cole: Cengage Learning with (ISBN-13: 978-0-538-73351-9; ISBN-10: 0-538-73351-9). Details concerning the book can be found at Numerical Analysis Tenth edition.

If you have any comments about the current edition or are interested in doing a pre-revison review of this book please contact me at burden@math.ysu.edu or amburden@ysu.edu.

## Objectives

This site has been created by Annette M. Burden and Richard L. Burden in order to provide both faculty who adopt the text and students use the text additional supplemental materials.

Copyright © 2015

All rights reserved. No material this website may be reproduced, distributed, or transmitted in any form or by any means, including photocopying, recording, or other electronic or mechanical methods, without the prior written permission of the authors, except in the case of brief quotations embodied in critical reviews and certain other noncommercial uses permitted by copyright law. For permission requests, write or email one of the authors, addressed “Attention: Permissions,” at the address below.

Richard L. Burden/Annette M. Burden

Department of Mathematics & Statistics

Youngstown State University

One University Plaza

Youngstown, OH 44555-0001