Mathematica by Example

Abell, Martha L.; Braselton, James P.

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Table of contents
  • Copyright Pageiv
  • Contentsv
  • Prefaceix
  • Chapter 1. Getting Started1
  • 1.1 Introduction to Mathematica1
  • 1.2 Loading Packages10
  • 1.3 Getting Help from Mathematica14
  • Chapter 2. Basic Operations on Numbers, Expressions, and Functions23
  • 2.1 Numerical Calculations and Built-In Functions23
  • 2.2 Expressions and Functions: Elementary Algebra31
  • 2.3 Graphing Functions, Expressions, and Equations45
  • 2.4 Solving Equations81
  • Chapter 3. Calculus97
  • 3.1 Limits97
  • 3.2 Differential Calculus104
  • 3.3 Integral Calculus141
  • 3.4 Series173
  • 3.5 Multi-Variable Calculus198
  • Chapter 4. Introduction to Lists and Tables229
  • 4.1 Lists and List Operations229
  • 4.2 Manipulating Lists: More on Part and Map248
  • 4.3 Mathematics of Finance267
  • 4.4 Other Applications287
  • Chapter 5. Matrices and Vectors327
  • 5.1 Nested Lists: Introduction to Matrices, Vectors, and Matrix Operations327
  • 5.2 Linear Systems of Equations349
  • 5.3 Selected Topics from Linear Algebra362
  • 5.4 Maxima and Minima Using Linear Programming384
  • 5.5 Selected Topics from Vector Calculus393
  • Chapter 6. Applications Related to Ordinary and Partial Differential Equations429
  • 6.1 First-Order Differential Equations429
  • 6.2 Second-Order Linear Equations454
  • 6.3 Higher-Order Linear Equations470
  • 6.4 Systems of Equations498
  • 6.5 Some Partial Differential Equations538
Book details
  • Vendor Elsevier S & T
  • SKU 9780120415632
  • ISBN-13 9780080491790
  • Author Abell, Martha L.; Braselton, James P.
  • Edition 3rd
  • Category Mathematics
  • Subject Discrete Mathematics

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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