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

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 text gives a rigorous treatment of the foundations of calculus. In contrast to more traditional approaches, infinite sequences and series are placed at the

Trans from the 2nd German ed , pub 1923.