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An Introduction to Modern Mathematical Computing: With Mathematica®

✍ Scribed by Jonathan M. Borwein, Matthew P. Skerritt (auth.)

Publisher
Springer-Verlag New York
Year
2012
Tongue
English
Leaves
236
Series
Springer Undergraduate Texts in Mathematics and Technology
Edition
1
Category
Library
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✦ Synopsis

Thirty years ago mathematical, as opposed to applied numerical, computation was difficult to perform and so relatively little used. Three threads changed that: the emergence of the personal computer; the discovery of fiber-optics and the consequent development of the modern internet; and the building of the Three “M’s” Maple, Mathematica and Matlab.

We intend to persuade that Mathematica and other similar tools are worth knowing, assuming only that one wishes to be a mathematician, a mathematics educator, a computer scientist, an engineer or scientist, or anyone else who wishes/needs to use mathematics better. We also hope to explain how to become an "experimental mathematician" while learning to be better at proving things. To accomplish this our material is divided into three main chapters followed by a postscript. These cover elementary number theory, calculus of one and several variables, introductory linear algebra, and visualization and interactive geometric computation.

✦ Table of Contents

Front Matter....Pages i-xvi
Number Theory....Pages 1-76
Calculus....Pages 77-137
Linear Algebra....Pages 139-193
Visualization and Geometry: A Postscript....Pages 195-209
Back Matter....Pages 211-224

✦ Subjects

Computational Mathematics and Numerical Analysis; Mathematical Software; Simulation and Modeling; Math Applications in Computer Science

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