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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Bibliographic Details
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
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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