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,

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

Trans from the 2nd German ed , pub 1923.