This is a widely accessible introductory treatment of infinite series of real numbers, bringing the reader from basic definitions and tests to advanced results.

This concise text focuses on the convergence of real series. Topics include functions and limits, real sequences and series, series of non-negative terms, gener

Careful presentation of fundamentals of the theory by one of the finest modern expositors of higher mathematics. Covers functions of real and complex variables,

Text for advanced undergraduate and graduate students examines Taylor series, Fourier series, uniform convergence, power series, and real analytic functions. Ap

This textbook covers the majority of traditional topics of infinite sequences and series, starting from the very beginning – the definition and elementary pro