Abell Martha L. - Mathematica by Example

Fifth edition

Martha L. Abell

Georgia Southern University, Statesboro, USA

James P. Braselton

Georgia Southern University, Statesboro, USA

1. Tables in Chapter 4

1. Figures in Chapter 1
2. Figures in Chapter 2
3. Figures in Chapter 3
4. Figures in Chapter 4
5. Figures in Chapter 5
6. Figures in Chapter 6

Academic Press is an imprint of Elsevier

125 London Wall, London EC2Y 5AS, United Kingdom

525 B Street, Suite 1800, San Diego, CA 92101-4495, United States

50 Hampshire Street, 5th Floor, Cambridge, MA 02139, United States

The Boulevard, Langford Lane, Kidlington, Oxford OX5 1GB, United Kingdom

Copyright 2017 Elsevier Inc. All rights reserved.

No part of this publication may be reproduced or transmitted in any form or by any means, electronic or mechanical, including photocopying, recording, or any information storage and retrieval system, without permission in writing from the publisher. Details on how to seek permission, further information about the Publisher's permissions policies and our arrangements with organizations such as the Copyright Clearance Center and the Copyright Licensing Agency, can be found at our website: www.elsevier.com/permissions.

This book and the individual contributions contained in it are protected under copyright by the Publisher (other than as may be noted herein).

Notices

Knowledge and best practice in this field are constantly changing. As new research and experience broaden our understanding, changes in research methods, professional practices, or medical treatment may become necessary.

Practitioners and researchers must always rely on their own experience and knowledge in evaluating and using any information, methods, compounds, or experiments described herein. In using such information or methods they should be mindful of their own safety and the safety of others, including parties for whom they have a professional responsibility.

To the fullest extent of the law, neither the Publisher nor the authors, contributors, or editors, assume any liability for any injury and/or damage to persons or property as a matter of products liability, negligence or otherwise, or from any use or operation of any methods, products, instructions, or ideas contained in the material herein.

Library of Congress Cataloging-in-Publication Data

A catalog record for this book is available from the Library of Congress

British Library Cataloguing-in-Publication Data

A catalogue record for this book is available from the British Library

ISBN: 978-0-12-812481-9

For information on all Academic Press publications visit our website at https://www.elsevier.com/books-and-journals

Publisher: Katey Birtcher

Acquisition Editor: Graham Nisbet

Editorial Project Manager: Susan Ikeda

Production Project Manager: Paul Prasad Chandramohan

Designer: Mark Rogers

Typeset by VTeX

Martha L. Abell; James P. Braselton Statesboro, GA, USA

Mathematica by Example bridges the gap that exists between the very elementary handbooks available on Mathematica and those reference books written for the advanced Mathematica users. Mathematica by Example is an appropriate reference for all users of Mathematica and, in particular, for beginning users like students, instructors, engineers, business people, and other professionals first learning to use Mathematica. Mathematica by Example introduces the very basic commands and includes typical examples of applications of these commands. In addition, the text also includes commands useful in areas such as calculus, linear algebra, business mathematics, ordinary and partial differential equations, and graphics. In all cases, however, examples follow the introduction of new commands. Readers from the most elementary to advanced levels will find that the range of topics covered addresses their needs.

Taking advantage of Version 11 of Mathematica, Mathematica by Example, Fifth Edition, introduces the fundamental concepts of Mathematica to solve typical problems of interest to students, instructors, and scientists. The Fifth Edition is an extensive revision of the text. Features that make Mathematica by Example, Fifth Edition, as easy to use as a reference and as useful as possible for the beginner include the following.

1. Version 11 Compatibility. All examples illustrated in Mathematica by Example, Fifth Edition, were completed using Version 11 of Mathematica. Although many computations can continue to be carried out with earlier versions of Mathematica, we have taken advantage of the new features in Version 11 as much as possible.

2. Applications. New applications, many of which are documented by references, from a variety of fields, especially biology, physics, and engineering, are included throughout the text. Especially notice the new examples regarding series in Chapter .

3. Detailed Table of Contents. The table of contents includes all chapter, section, and subsection headings. Along with the comprehensive index, we hope that users will be able to locate information quickly and easily.

4. Additional examples. We have considerably expanded the topics in Chapters . The results should be more useful to instructors, students, business people, engineers, and other professionals using Mathematica on a variety of platforms.

5. Comprehensive Index. In the index, mathematical examples and applications are listed by topic, or name, as well as commands along with frequently used options: particular mathematical examples as well as examples illustrating how to use frequently used commands are easy to locate. In addition, commands in the index are cross-referenced with frequently used options. Functions available in the various packages are cross-referenced both by package and alphabetically.

6. As technology has changed, so has the publication of a book. When Mathematica by Example was first published in 1992, it was published as a single color book. Consequently, at that time, it was important to use various gray levels in plots to help distinguish them. Now, many of you will download an electronic copy of the text and print it on a high-resolution color printer with high-quality paper. The result will be outstanding. To illustrate the use of color, we have chosen from various universities and colleges throughout the United States. We tried to use the colors from at least one university or college in each state. Sometimes this was difficult to do because obtaining the color codes from some colleges was easier than from others. Of course, in the print version of the text, all images will still be in various levels of gray.

We began Mathematica by Example in 1990 and the first edition was published in 1991. Back then, we were on top of the world using Macintosh IIcx's with 8 megs of RAM and 40 meg hard drives. We tried to choose examples that we thought would be relevant to beginning users typically in the context of mathematics encountered in the undergraduate curriculum. Those examples could also be carried out by Mathematica in a timely manner on a computer as powerful as a Macintosh IIcx.