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  • © 2015

Mathematica®: A Problem-Centered Approach

Authors:

  • Provides a step by step introduction to programming with Mathematica, adopting a problem-based approach
  • Accessible to a wide range of university students who want to use Mathematica in their applications
  • Suitable for a semester course or a workshop in Mathematica
  • Includes supplementary material: sn.pub/extras

Part of the book series: Springer Undergraduate Mathematics Series (SUMS)

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Table of contents (19 chapters)

  1. Front Matter

    Pages i-xvi
  2. Introduction

    • Roozbeh Hazrat
    Pages 1-26
  3. Basics

    • Roozbeh Hazrat
    Pages 27-48
  4. Defining Functions

    • Roozbeh Hazrat
    Pages 49-60
  5. Lists

    • Roozbeh Hazrat
    Pages 61-94
  6. Changing heads!

    • Roozbeh Hazrat
    Pages 95-102
  7. A Bit of Logic and Set Theory

    • Roozbeh Hazrat
    Pages 103-113
  8. Sums and products

    • Roozbeh Hazrat
    Pages 114-121
  9. Loops and repetitions

    • Roozbeh Hazrat
    Pages 122-148
  10. Substitution, Mathematica rules

    • Roozbeh Hazrat
    Pages 149-154
  11. Pattern Matching

    • Roozbeh Hazrat
    Pages 155-172
  12. Functions with multiple definitions

    • Roozbeh Hazrat
    Pages 173-186
  13. Recursive functions

    • Roozbeh Hazrat
    Pages 187-196
  14. Linear algebra

    • Roozbeh Hazrat
    Pages 197-204
  15. Graphics

    • Roozbeh Hazrat
    Pages 205-234
  16. Calculus and equations

    • Roozbeh Hazrat
    Pages 235-258
  17. Worked out projects

    • Roozbeh Hazrat
    Pages 259-278
  18. Projects

    • Roozbeh Hazrat
    Pages 279-288
  19. Solutions to the Exercises

    • Roozbeh Hazrat
    Pages 289-312

About this book

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.

Reviews

“The aim of this introduction to Mathematica is to teach Mathematica's abilities and how to program it to solve problems. … this book provides a great basis for an undergraduate course teaching how to use Mathematica. The book can certainly also be used for self-study without taking a course, and its style ensures that reading it will never be boring. After finishing the course or the book, it may serve as a reference … .” (Thomas Kahle, zbMATH 1345.68001, 2016)

Authors and Affiliations

  • Centre for Research in Mathematics, Western Sydney University, Parramatta, Australia

    Roozbeh Hazrat

About the author

Roozbeh Hazrat obtained his PhD in Pure Mathematics from the University of Bielefeld, Germany in 2002. He did research at the Australian National University, the Max Planck Institute in Bonn and the City University of New York. He was a Reader (Associate Professor) in Pure Mathematics at Queen's University Belfast, United Kingdom, where he worked for 8 years, before moving to Western Sydney University in December 2011. In 2015 he was awarded a Fellowship for Experienced Researchers by Germany's Alexander von Humboldt Foundation.

Bibliographic Information

Buy it now

Buying options

eBook USD 29.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 37.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access