Mathematics by Experiment, 2nd Edition: Plausible Reasoning in the 21st Century

This revised and updated second edition maintains the content and spirit of the first edition and includes a new chapter, "Recent Experiences", that provides examples of experimental mathematics that have come to light since the publication of the first edition in 2003. For more examples and insights, Experimentation in Mathematics: Computational Paths to Discovery is a highly recommended companion. This Revised And Updated Second Edition Maintains The Content And Spirit Of The First Edition And Includes A New Chapter, Recent Experiences, That Provides Examples Of Experimental Mathematics That Have Come To Light Since The Publication Of The First Edition In 2003--jacket. 1. What Is Experimental Mathematics? -- 2. Experimental Mathematics In Action -- 3. Pi And Its Friends -- 4. Normality Of Numbers -- 5. The Power Of Constructive Proofs -- 6. Numerical Techniques -- 7. Recent Experiences. Jonathan Borwein, David Bailey. Includes Bibliographical References (p. 349-365) And Index. Front Cover 1 Mathematics by Experiment: Plausible Reasoning in the 21st Century 4 Copyright 5 Table of Contents 6 Preface 8 1. What is Experimental Mathematics? 14 2. Experimental Mathematics in Action 60 3. Pi and Its Friends 116 4. Normality of Numbers 156 5. The Power of Constructive Proofs 188 6. Numerical Techniques 228 7. Recent Experiences 256 Bibliography 362 Back Cover 384