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Gamma :: exploring Euler's constant /

Among the myriad of constants that appear in mathematics, p, e, and i are the most familiar. Following closely behind is g, 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...

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Bibliographische Detailangaben
1. Verfasser:	Havil, Julian, 1952-
Weitere Verfasser:	Dyson, Freeman J.
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Princeton, N.J. : Princeton University Press, 2009.
Schriftenreihe:	Princeton science library.
Schlagworte:	Euler, Leonhard, > 1707-1783. Euler, Leonhard, > 1707-1783 Mathematical constants. Gamma functions. Constantes (Mathématiques) Fonctions gamma. MATHEMATICS > Arithmetic. MATHEMATICS > History & Philosophy. Gamma functions Mathematical constants
Online-Zugang:	Volltext
Zusammenfassung:	Among the myriad of constants that appear in mathematics, p, e, and i are the most familiar. Following closely behind is g, 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 reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics. Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who figures prominently in this book, gamma is defined as the limit of the su.
Beschreibung:	1 online resource (xxiii, 266 pages) : illustrations
Bibliographie:	Includes bibliographical references (pages 255-258) and index.
ISBN:	9781400832538 1400832535

Internformat

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505	0		\|a Cover; Title; Copyright; 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.
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contents	Cover; Title; Copyright; 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 PrimesCHAPTER 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; References; Name Index; Subject Index.
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series2	Princeton Science Library
spelling	Havil, Julian, 1952- https://id.oclc.org/worldcat/entity/E39PBJjMCBVYFKKXmwQpKKPCwC http://id.loc.gov/authorities/names/n2002162712 Gamma : exploring Euler's constant / Julian Havil. Princeton, N.J. : Princeton University Press, 2009. 1 online resource (xxiii, 266 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Princeton Science Library Includes bibliographical references (pages 255-258) and index. Print version record. Cover; Title; Copyright; 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 PrimesCHAPTER 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; References; Name Index; Subject Index. Among the myriad of constants that appear in mathematics, p, e, and i are the most familiar. Following closely behind is g, 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 reader on a journey through logarithms and the harmonic series, the two defining elements of gamma, toward the first account of gamma's place in mathematics. Introduced by the Swiss mathematician Leonhard Euler (1707-1783), who figures prominently in this book, gamma is defined as the limit of the su. Euler, Leonhard, 1707-1783. http://id.loc.gov/authorities/names/n50010222 Euler, Leonhard, 1707-1783 fast https://id.oclc.org/worldcat/entity/E39PBJfCtvmhtKVdHp9JdB3hHC Mathematical constants. http://id.loc.gov/authorities/subjects/sh85082120 Gamma functions. http://id.loc.gov/authorities/subjects/sh85052339 Constantes (Mathématiques) Fonctions gamma. MATHEMATICS Arithmetic. bisacsh MATHEMATICS History & Philosophy. bisacsh Gamma functions fast Mathematical constants fast Dyson, Freeman J. http://id.loc.gov/authorities/names/n79056129 has work: Gamma (Text) https://id.oclc.org/worldcat/entity/E39PCGxPMrtwKQqKwWkRHhppT3 https://id.oclc.org/worldcat/ontology/hasWork Print version: Havil, Julian, 1952- Gamma. Princeton, N.J. : Princeton University Press, 2009 9780691141336 (OCoLC)276340758 Princeton science library. http://id.loc.gov/authorities/names/n88540101 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=313455 Volltext
spellingShingle	Havil, Julian, 1952- Gamma : exploring Euler's constant / Princeton science library. Cover; Title; Copyright; 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 PrimesCHAPTER 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; References; Name Index; Subject Index. Euler, Leonhard, 1707-1783. http://id.loc.gov/authorities/names/n50010222 Euler, Leonhard, 1707-1783 fast https://id.oclc.org/worldcat/entity/E39PBJfCtvmhtKVdHp9JdB3hHC Mathematical constants. http://id.loc.gov/authorities/subjects/sh85082120 Gamma functions. http://id.loc.gov/authorities/subjects/sh85052339 Constantes (Mathématiques) Fonctions gamma. MATHEMATICS Arithmetic. bisacsh MATHEMATICS History & Philosophy. bisacsh Gamma functions fast Mathematical constants fast
subject_GND	http://id.loc.gov/authorities/names/n50010222 http://id.loc.gov/authorities/subjects/sh85082120 http://id.loc.gov/authorities/subjects/sh85052339
title	Gamma : exploring Euler's constant /
title_auth	Gamma : exploring Euler's constant /
title_exact_search	Gamma : exploring Euler's constant /
title_full	Gamma : exploring Euler's constant / Julian Havil.
title_fullStr	Gamma : exploring Euler's constant / Julian Havil.
title_full_unstemmed	Gamma : exploring Euler's constant / Julian Havil.
title_short	Gamma :
title_sort	gamma exploring euler s constant
title_sub	exploring Euler's constant /
topic	Euler, Leonhard, 1707-1783. http://id.loc.gov/authorities/names/n50010222 Euler, Leonhard, 1707-1783 fast https://id.oclc.org/worldcat/entity/E39PBJfCtvmhtKVdHp9JdB3hHC Mathematical constants. http://id.loc.gov/authorities/subjects/sh85082120 Gamma functions. http://id.loc.gov/authorities/subjects/sh85052339 Constantes (Mathématiques) Fonctions gamma. MATHEMATICS Arithmetic. bisacsh MATHEMATICS History & Philosophy. bisacsh Gamma functions fast Mathematical constants fast
topic_facet	Euler, Leonhard, 1707-1783. Euler, Leonhard, 1707-1783 Mathematical constants. Gamma functions. Constantes (Mathématiques) Fonctions gamma. MATHEMATICS Arithmetic. MATHEMATICS History & Philosophy. Gamma functions Mathematical constants
url	https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=313455
work_keys_str_mv	AT haviljulian gammaexploringeulersconstant AT dysonfreemanj gammaexploringeulersconstant

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