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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

By: Whittaker,E.TContributor(s): Watson, G.NMaterial type: Text

TextSeries: Cambridge mathematical libraryPublication details: Cambridge ; New York : Cambridge University Press, 1996Edition: 4th edDescription: 608 pagesISBN: 9780521588072; 0521588073 Subject(s): Series, InfiniteDDC classification: 515

Contents:

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.

Summary: 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.

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Item type	Current library	Collection	Call number	Status	Date due	Barcode	Item holds
Reference Books	Main Library Reference	Reference	515 WHI (Browse shelf(Opens below))	Available		009875

Total holds: 0

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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.

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