Maple and Mathematica

A Problem Solving Approach for Mathematics

  • Authors
  • Inna K. Shingareva
  • Carlos Lizárraga-Celaya

Table of contents

  1. Front Matter
    Pages i-xvi
  2. Foundations of Maple and Mathematica

    1. Front Matter
      Pages 1-1
    2. Inna Shingareva, Carlos Lizárraga-Celaya
      Pages 3-22
    3. Inna Shingareva, Carlos Lizárraga-Celaya
      Pages 23-48
  3. Mathematics: Maple and Mathematica

    1. Front Matter
      Pages 49-49
    2. Inna Shingareva, Carlos Lizárraga-Celaya
      Pages 51-68
    3. Inna Shingareva, Carlos Lizárraga-Celaya
      Pages 69-132
    4. Inna Shingareva, Carlos Lizárraga-Celaya
      Pages 133-188
    5. Inna Shingareva, Carlos Lizárraga-Celaya
      Pages 189-206
    6. Inna Shingareva, Carlos Lizárraga-Celaya
      Pages 207-244
    7. Inna Shingareva, Carlos Lizárraga-Celaya
      Pages 245-260
    8. Inna Shingareva, Carlos Lizárraga-Celaya
      Pages 261-268
    9. Inna Shingareva, Carlos Lizárraga-Celaya
      Pages 269-284
    10. Inna Shingareva, Carlos Lizárraga-Celaya
      Pages 285-340
    11. Inna Shingareva, Carlos Lizárraga-Celaya
      Pages 341-440
  4. Back Matter
    Pages 1-44

About this book

Introduction

The first book to compare the main two computer algebra systems (CAS), Maple and Mathematica used by students, mathematicians, scientists, and engineers. Both systems are presented in parallel so that Mathematica users can learn Maple quickly by finding the Maple equivalent to Mathematica functions, and vice versa. This student reference handbook consists of core material for incorporating Maple and Mathematica as a working tool into different undergraduate mathematical courses (abstract and linear algebra, geometry, calculus and analysis, complex functions, special functions, integral and discrete transforms, algebraic and transcendental equations, ordinary and partial differential equations, integral equations, numerical analysis and scientific computing). The book also contains applications from various areas of mathematics, physics, and music theory and can be useful for graduate students, professors, and researchers in science and engineering.
One of the goals of this book is to develop problem-solving skills (that are most useful for solving sophisticated research problems) finding solutions with Maple and Mathematica and not to depend on a specific version of both systems (Maple 12 and Mathematica 6 and 7 are considered).
Part I, describes the foundations of Maple and Mathematica (with equivalent problems and solutions). Part II, describes Mathematics with Maple and Mathematica by using equivalent problems.
Finally, this book is ideal for scientists who want to corroborate their Maple and Mathematica work with independent verification provided by another CAS.
J. Carter, SIAM Review 50: 149-152 (2008).

 

Keywords

Algebra Software Analysis Computer Algebra Systems Maple Mathematica Problem Solving linear algebra

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-211-99432-0
  • Copyright Information Springer-Verlag Vienna 2009
  • Publisher Name Springer, Vienna
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-211-99431-3
  • Online ISBN 978-3-211-99432-0
  • About this book