Difference between revisions of "Book:Edmund Taylor Whittaker/A course of modern analysis/Third edition"

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(Created page with "__NOTOC__ {{Book|A course of modern analysis|1920|Cambridge University Press||Edmund Taylor Whittaker|author2 = George Neville Watson}} ===Online versions=== [https://archiv...")
 
 
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===Online versions===
 
===Online versions===
 
[https://archive.org/stream/courseofmodernan00whit#page/n7/mode/2up hosted by archive.org]<br />
 
[https://archive.org/stream/courseofmodernan00whit#page/n7/mode/2up hosted by archive.org]<br />
 +
 +
===Contents===
 +
:PART I. THE PROCESSES OF ANALYSIS
 +
::Chapter I Complex Numbers
 +
::Chapter II The Theory of Convergence
 +
::Chapter III Continuous Functions and Uniform Convergence
 +
::Chapter IV The Theory of Riemann Integration
 +
::Chapter V The fundamental properties of Analytic Functions; Taylor's, Laurent's, and Liouville's Theorems
 +
::Chapter VI The Theory of Residues; application to the evaluation of Definite Integrals
 +
::Chapter VII The expansion of functions in Infinite Series
 +
::Chapter VIII Asymptotic Expansions and Summable Series
 +
::Chapter IX Fourier Series and Trigonometrical Series
 +
::Chapter X Linear Differential Equations
 +
::Chapter XI Integral Equations
 +
:PART II. THE TRANSCENDENTAL FUNCTIONS
 +
::Chapter XII The Gamma Function
 +
:::[[Gamma|$\S 12 \cdot 1$]]
 +
:::[[Euler-Mascheroni constant|$\S 12 \cdot 1$]]
 +
:::[[Reciprocal gamma written as an infinite product|$\S 12 \cdot 11$]]
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:::[[Gamma recurrence relation|$\S 12\cdot 12$]]
 +
::Chapter XIII The Zeta Function of Riemann
 +
::Chapter XIV The Hypergeometric Function
 +
::Chapter XV Legendre Functions
 +
::Chapter XVI The Confluent Hypergeometric Function
 +
::Chapter XVII Bessel Functions
 +
::Chapter XVIII The Equations of Mathematical Physics
 +
::Chapter XIX Mathieu Functions
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::Chapter XX Elliptic Functions, General theorems of the Weierstrassian Functions
 +
::Chapter XXI The Theta Functions
 +
::Chapter XXII The Jacobian Elliptic Functions
 +
::Chapter XXIII Ellipsoidal Harmonics and Lamé's Equation
 +
:APPENDIX
 +
:LIST OF AUTHORS QUOTED
 +
:GENERAL INDEX
 +
[[Category:Book]]

Latest revision as of 16:39, 21 June 2016


Edmund Taylor Whittaker and George Neville Watson: A course of modern analysis

Published $1920$, Cambridge University Press.


Online versions

hosted by archive.org

Contents

PART I. THE PROCESSES OF ANALYSIS
Chapter I Complex Numbers
Chapter II The Theory of Convergence
Chapter III Continuous Functions and Uniform Convergence
Chapter IV The Theory of Riemann Integration
Chapter V The fundamental properties of Analytic Functions; Taylor's, Laurent's, and Liouville's Theorems
Chapter VI The Theory of Residues; application to the evaluation of Definite Integrals
Chapter VII The expansion of functions in Infinite Series
Chapter VIII Asymptotic Expansions and Summable Series
Chapter IX Fourier Series and Trigonometrical Series
Chapter X Linear Differential Equations
Chapter XI Integral Equations
PART II. THE TRANSCENDENTAL FUNCTIONS
Chapter XII The Gamma Function
$\S 12 \cdot 1$
$\S 12 \cdot 1$
$\S 12 \cdot 11$
$\S 12\cdot 12$
Chapter XIII The Zeta Function of Riemann
Chapter XIV The Hypergeometric Function
Chapter XV Legendre Functions
Chapter XVI The Confluent Hypergeometric Function
Chapter XVII Bessel Functions
Chapter XVIII The Equations of Mathematical Physics
Chapter XIX Mathieu Functions
Chapter XX Elliptic Functions, General theorems of the Weierstrassian Functions
Chapter XXI The Theta Functions
Chapter XXII The Jacobian Elliptic Functions
Chapter XXIII Ellipsoidal Harmonics and Lamé's Equation
APPENDIX
LIST OF AUTHORS QUOTED
GENERAL INDEX
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