The Computer as Crucible: An Introduction to Experimental Mathematics

The Computer as Crucible: An Introduction to Experimental Mathematics

4.5 2
by Jonathan Borwein, Keith Devlin
     
 

ISBN-10: 1568813430

ISBN-13: 9781568813431

Pub. Date: 11/01/2008

Publisher: Taylor & Francis

Keith Devlin and Jonathan Borwein, two well-known mathematicians with expertise in different mathematical specialties but with a common interest in experimentation in mathematics, have joined forces to create this introduction to experimental mathematics. They cover a variety of topics and examples to give the reader a good sense of the current state of play in the

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Overview

Keith Devlin and Jonathan Borwein, two well-known mathematicians with expertise in different mathematical specialties but with a common interest in experimentation in mathematics, have joined forces to create this introduction to experimental mathematics. They cover a variety of topics and examples to give the reader a good sense of the current state of play in the rapidly growing new field of experimental mathematics. The writing is clear and the explanations are enhanced by relevant historical facts and stories of mathematicians and their encounters with the field over time.

Product Details

ISBN-13:
9781568813431
Publisher:
Taylor & Francis
Publication date:
11/01/2008
Edition description:
New Edition
Pages:
170
Sales rank:
1,155,422
Product dimensions:
5.90(w) x 8.90(h) x 0.60(d)

Table of Contents

1 What Is Experimental Mathematics? 1

2 What Is the Quadrillionth Decimal Place of [pi]? 17

3 What Is That Number? 29

4 The Most Important Function in Mathematics 39

5 Evaluate the Following Integral 49

6 Serendipity 61

7 Calculating [pi] 71

8 The Computer Knows More Math Than You Do 81

9 Take It to the Limit 93

10 Danger! Always Exercise Caution When Using the Computer 105

11 Stuff We Left Out (Until Now) 115

Answers and Reflections 131

Final Thought 149

Additional Reading and References 151

Index 155

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The Computer as Crucible: An Introduction to Experimental Mathematics 4.5 out of 5 based on 0 ratings. 2 reviews.
pinpointAR More than 1 year ago
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pontiac_98072 More than 1 year ago
The examples of experimental mathematics were adequately described, and the math that was used was easy to follow (you don't need to have taken a year of undergraduate analysis to understand them). The book was short, meaning that you could read it without losing interest. Overall, I liked it.