TY  - BOOK
AU  - Whittaker,E.T.
AU  - Watson,G.N.
TI  - 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 
T2  - Cambridge mathematical library
SN  - 9780511608759 (ebook)
AV  - QA295 .W38 1996
U1  - 515 20
PY  - 1996///
CY  - Cambridge
PB  - Cambridge University Press
KW  - Series, Infinite
KW  - Analytic functions
KW  - Harmonic analysis
N1  - 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
N2  - 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
UR  - https://doi.org/10.1017/CBO9780511608759
ER  -