Details

Autor(en) / Beteiligte

• Whittaker, Edmund T
• Watson, G. N

Titel

A course of modern analysis : an introduction to the general theory of infinite processes and of analytic functions, with an account of the principal transcendental functions

Ist Teil von

• Cambridge mathematical library

Auflage

Fourth edition, reprinted, sixth reprint

Ort / Verlag

Cambridge : Cambridge University Press

Erscheinungsjahr

2006

Link zum Volltext

• Volltext

  URL des Erstveröffentlichers

Link zu anderen Inhalten

• Volltext

Beschreibungen/Notizen

• Hier auch später erschienene, unveränderte Nachdrucke
• Title from publisher's bibliographic system (viewed on 05 Oct 2015)
• pt. I. The Processes of Analysis -- I. Complex Numbers -- II. The Theory of Convergence -- III. Continuous Functions and Uniform Convergence -- IV. The Theory of Riemann Integration -- V. The fundamental properties of Analytic Functions; Taylor's, Laurent's, and Liouville's Theorems -- VI. The Theory of Residues; application to the evaluation of Definite Integrals -- VII. The expansion of functions in Infinite Series -- VIII. Asymptotic Expansions and Summable Series -- IX. Fourier Series and Trigonometrical Series -- X. Linear Differential Equations -- XI. Integral Equations -- pt. II. The Transcendental Functions -- XII. The Gamma Function -- XIII. The Zeta Function of Riemann -- XIV. The Hypergeometric Function -- XV. Legendre Functions -- XVI. The Confluent Hypergeometric Function -- XVII. Bessel Functions -- XVIII. The Equations of Mathematical Physics -- XIX. Mathieu Functions -- XX. Elliptic Functions. General theorems and the Weierstrassian Functions -- XXI. The Theta Functions -- XXII. The Jacobian Elliptic Functions -- XXIII. Ellipsoidal Harmonics and Lame's Equation
• This classic text is known to and used by thousands of mathematicians and students of mathematics throughout the world. It gives an introduction to the general theory of infinite processes and of analytic functions together with an account of the principal transcendental functions