Mathematica: A Problem-Centered Approach

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This textbook introduces the vast array of features and powerful mathematical functions of Mathematica using a multitude of clearly presented examples and worked-out problems. Each section starts with a description of a new topic and some basic examples. The author then demonstrates the use of new commands through three categories of problems

- the first category highlights those essential parts of the text that demonstrate the use of new commands in Mathematica whilst solving each problem presented;

- the second comprises problems that further demonstrate the use of commands previously introduced to tackle different situations; and

- the third presents more challenging problems for further study.

The intention is to enable the reader to learn from the codes, thus avoiding long and exhausting explanations.

While based on a computer algebra course taught to undergraduate students of mathematics, science, engineering and finance, the book also includes chapters on calculus and solving equations, and graphics, thus covering all the basic topics in Mathematica. With its strong focus upon programming and problem solving, and an emphasis on using numerical problems that do not need any particular background in mathematics, this book is also ideal for self-study and as an introduction to researchers who wish to use Mathematica as a computational tool.

This new edition has been extensively revised and updated, and includes new chapters with problems and worked examples.

Author(s): Roozbeh Hazrat
Series: Springer Undergraduate Mathematics Series
Edition: 2
Publisher: Springer
Year: 2015

Language: English
Pages: 318
Tags: Symbolic and Algebraic Manipulation; Mathematical Software; Programming Languages, Compilers, Interpreters

Front Matter....Pages -
Introduction....Pages 1-26
Basics....Pages 27-48
Defining Functions....Pages 49-60
Lists....Pages 61-94
Changing heads!....Pages 95-102
A Bit of Logic and Set Theory....Pages 103-113
Sums and products....Pages 114-121
Loops and repetitions....Pages 122-148
Substitution, Mathematica rules....Pages 149-154
Pattern Matching....Pages 155-172
Functions with multiple definitions....Pages 173-186
Recursive functions....Pages 187-196
Linear algebra....Pages 197-204
Graphics....Pages 205-234
Calculus and equations....Pages 235-258
Worked out projects....Pages 259-278
Projects....Pages 279-288
Solutions to the Exercises....Pages 289-312
Erratum to: Mathematica ® : A Problem-Centered Approach....Pages E1-E2
Back Matter....Pages -