An Introduction to Modern Mathematical Computing: With Maple™

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Thirty years ago, mathematical computation was difficult to perform and thus used sparingly. However, mathematical computation has become far more accessible due to the emergence of the personal computer, the discovery of fiber-optics and the consequent development of the modern internet, and the creation of Maple™, Mathematica®, and Matlab®.

An Introduction to Modern Mathematical Computing: With Maple™ looks beyond teaching the syntax and semantics of Maple and similar programs, and focuses on why they are necessary tools for anyone who engages in mathematics. It is an essential read for mathematicians, mathematics educators, computer scientists, engineers, scientists, and anyone who wishes to expand their knowledge of mathematics. This volume will also explain how to become an “experimental mathematician,” and will supply useful information about how to create better proofs.

The text covers material in elementary number theory, calculus, multivariable calculus, introductory linear algebra, and visualization and interactive geometric computation. It is intended for upper-undergraduate students, and as a reference guide for anyone who wishes to learn to use the Maple program.

Author(s): Jonathan M. Borwein, Matthew P. Skerritt (auth.)
Series: Springer Undergraduate Texts in Mathematics and Technology
Edition: 1
Publisher: Springer-Verlag New York
Year: 2011

Language: English
Pages: 216
Tags: Computational Mathematics and Numerical Analysis; Mathematical Software; Simulation and Modeling; Math Applications in Computer Science

Front Matter....Pages i-xvi
Number Theory....Pages 1-65
Calculus....Pages 67-128
Linear Algebra....Pages 129-185
Visualization and Geometry: A Postscript....Pages 187-201
Back Matter....Pages 211-216