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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.

Series, Infinite --- Analytic functions --- Harmonic analysis --- 515.243 --- Infinite series --- Analysis (Mathematics) --- Functions, Potential --- Potential functions --- Banach algebras --- Calculus --- Mathematical analysis --- Mathematics --- Bessel functions --- Fourier series --- Harmonic functions --- Time-series analysis --- Functions, Analytic --- Functions, Monogenic --- Functions, Regular --- Regular functions --- Functions of complex variables --- Series, Taylor's --- Mathematical Sciences --- General and Others --- Series, Infinite. --- Functions. --- Harmonic analysis. --- Differential equations --- Numbers, Complex --- Set theory --- Analytic functions. --- Functions