Gamma : : Exploring Euler's Constant / / Julian Havil.
Among the many constants that appear in mathematics, π, e, and i are the most familiar. Following closely behind is y, or gamma, a constant that arises in many mathematical areas yet maintains a profound sense of mystery. In a tantalizing blend of history and mathematics, Julian Havil takes the read...
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Superior document: | Title is part of eBook package: De Gruyter Princeton University Press eBook-Package Backlist 2000-2013 |
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Place / Publishing House: | Princeton, NJ : : Princeton University Press, , [2010] ©2010 |
Year of Publication: | 2010 |
Edition: | Course Book |
Language: | English |
Series: | Princeton Science Library ;
84 |
Online Access: | |
Physical Description: | 1 online resource (296 p.) :; 89 b/w illus., 20 tables |
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Table of Contents:
- Frontmatter
- Contents
- Foreword
- Acknowledgements
- Introduction
- Chapter One. The Logarithmic Cradle
- Chapter Two. The Harmonic Series
- Chapter Three. Sub-Harmonic Series
- Chapter Four. Zeta Functions
- Chapter Five. Gamma's Birthplace
- Chapter Six. The Gamma Function
- Chapter Seven. Euler's Wonderful Identity
- Chapter Eight. A Promise Fulfilled
- Chapter Nine. What Is Gamma . . . Exactly?
- Chapter Ten. Gamma as a Decimal
- Chapter Eleven. Gamma as a Fraction
- Chapter Twelve. Where Is Gamma?
- Chapter Thirteen. It's a Harmonic World
- Chapter Fourteen. It's a Logarithmic World
- Chapter Fifteen. Problems with Primes
- Chapter Sixteen. The Riemann Initiative
- Appendix A. The Greek Alphabet
- Appendix B. Big Oh Notation
- Appendix C. Taylor Expansions
- Appendix D. Complex Function Theory
- Appendix E. Application to the Zeta Function
- Name Index
- Subject Index