Mathematica by Example (eBook)

Martha L. Abell, James P. Braselton (Autoren)

eBook Download: PDF

2004 | 3. Auflage
571 Seiten
Elsevier Science (Verlag)
978-0-08-049179-0 (ISBN)

Infos

This third edition of Mathematica by Example is completely compatible with recent Mathematica versions. Highly readable and informative, this volume is geared toward the beginning Mathematica user, and focuses on the most often used features of this powerful tool. The book covers popular applications of mathematics within different areas including calculus, linear algebra, ordinary differential equations, and partial differential equations.

* Fully compatible with recent releases of Mathematica
* Includes CD-ROM containing all input used in text
* Focuses on the beginning Mathematica user
* Covers all the basics needed to get up and running with Mathematica, especially for use in mathematics
* Written by authors of several successful AP books on Mathematica

Inhalt

Cover 1
Copyright Page 5
Contents 6
Preface 10
Chapter 1. Getting Started 14
1.1 Introduction to Mathematica 14
1.2 Loading Packages 23
1.3 Getting Help from Mathematica 27
Chapter 2. Basic Operations on Numbers, Expressions, and Functions 36
2.1 Numerical Calculations and Built-In Functions 36
2.2 Expressions and Functions: Elementary Algebra 44
2.3 Graphing Functions, Expressions, and Equations 58
2.4 Solving Equations 94
Chapter 3. Calculus 110
3.1 Limits 110
3.2 Differential Calculus 117
3.3 Integral Calculus 154
3.4 Series 186
3.5 Multi-Variable Calculus 211
Chapter 4. Introduction to Lists and Tables 242
4.1 Lists and List Operations 242
4.2 Manipulating Lists: More on Part and Map 261
4.3 Mathematics of Finance 280
4.4 Other Applications 300
Chapter 5. Matrices and Vectors 340
5.1 Nested Lists: Introduction to Matrices, Vectors, and Matrix Operations 340
5.2 Linear Systems of Equations 362
5.3 Selected Topics from Linear Algebra 375
5.4 Maxima and Minima Using Linear Programming 397
5.5 Selected Topics from Vector Calculus 406
Chapter 6. Applications Related to Ordinary and Partial Differential Equations 442
6.1 First-Order Differential Equations 442
6.2 Second-Order Linear Equations 467
6.3 Higher-Order Linear Equations 483
6.4 Systems of Equations 511
6.5 Some Partial Differential Equations 551

Produkt-Details

• Erscheint lt. Verlag: 19.1.2004
• Sprache: englisch
• Themenwelt: Sachbuch/Ratgeber
• Themenwelt: Mathematik / Informatik ► Informatik ► Theorie / Studium
• Themenwelt: Mathematik / Informatik ► Mathematik ► Algebra
• Themenwelt: Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Computerprogramme / Computeralgebra
• Themenwelt: Technik
• ISBN-10: 0-08-049179-0 / 0080491790
• ISBN-13: 978-0-08-049179-0 / 9780080491790