Mathematica by Example

Martha L. Abell, James P. Braselton9780120415632, 0-12-041563-1

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

---

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