Difference between revisions of "Book:Andrew Gray/A Treatise on Bessel Functions"
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{{Book|A Treatise on Bessel Functions and their Applications to Physics|1895|Dover Publications, Inc.||Andrew Gray|author2 = G.B. Mathews}} | {{Book|A Treatise on Bessel Functions and their Applications to Physics|1895|Dover Publications, Inc.||Andrew Gray|author2 = G.B. Mathews}} | ||
| − | === | + | ===Online copies=== |
| − | + | [https://archive.org/details/treatiseonbessel00grayuoft hosted by archive.org]<br /> | |
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=== Contents === | === Contents === | ||
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: Chapter I: Introductory | : Chapter I: Introductory | ||
: Chapter II: Solution of the Differential Equation | : Chapter II: Solution of the Differential Equation | ||
| + | ::[[Bessel J|$10$]] | ||
: Chapter III: Other Bessel Functions and Related Functions | : Chapter III: Other Bessel Functions and Related Functions | ||
: Chapter IV: Functions of Integral Order. Expansions in Series of Bessel Functions | : Chapter IV: Functions of Integral Order. Expansions in Series of Bessel Functions | ||
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: Explanation of the Tables | : Explanation of the Tables | ||
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== Further Editions == | == Further Editions == | ||
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* {{BookReference|A Treatise on Bessel Functions|1922|Andrew Gray|author2 = G.B. Mathews|ed = 2nd|edpage = Second Edition}} | * {{BookReference|A Treatise on Bessel Functions|1922|Andrew Gray|author2 = G.B. Mathews|ed = 2nd|edpage = Second Edition}} | ||
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Latest revision as of 19:38, 21 June 2017
Andrew Gray and G.B. Mathews: A Treatise on Bessel Functions and their Applications to Physics
Published $1895$, Dover Publications, Inc..
Online copies
Contents
- Preface
- Chapter I: Introductory
- Chapter II: Solution of the Differential Equation
- Chapter III: Other Bessel Functions and Related Functions
- Chapter IV: Functions of Integral Order. Expansions in Series of Bessel Functions
- Chapter V: Definite Integral Expressions for the Bessel Functions. Asymptotic Expansions
- Chapter VI: Definite Integrals Involving Bessel Functions
- Chapter VII: The Zeros of the Bessel Functions
- Chapter VIII: Fourier-Bessel Expansions and Integrals
- Chapter IX: Relations between Bessel Functions and Legendre Functions. Green's Function
- Chapter X: Vibration of Membranes
- Chapter XI: Hydrodynamics
- Chapter XII: Steady Flow of Electricity or of Heat in Uniform Isotropic Media
- Chapter XIII: Propagation of Electromagnetic Waves Along Wires
- Chapter XIV: Diffraction
- Chapter XV: Equilibrium of an Isotropic Rod of Circular Section
- Chapter XVI: Miscellaneous Applications
- Miscellaneous Examples
- Appendix I: Formulae for the Gamma Function and the Hypergeometric Function
- Appendix II: Stokes' Method of obtaining the Asymptotic Expansion of the Bessel Functions
- Appendix III: Formulae for Calculation of the Zeros of the Bessel Functions
- Explanation of the Tables
