Developed for an introductory course in mathematical analysis at MIT, this text focuses on concepts, principles, and methods. The introductions to real and complex analysis are closely formulated, and they constitute a natural introduction to complex function theory. Supplementary material and exercises appear throughout the text. 1975 edition. Reprint of the Prentice-Hall, Inc., Englewood Cliffs, New Jersey, 1975 edition.
Introduction to Analysis by Maxwell Rosenlicht Unusually clear, accessible coverage of set theory, real number system, metric spaces, continuous functions, Riemann integration, multiple integrals, more. Wide range of problems. Written for junior and senior undergraduates. Bibliography.
Sets, Sequences and Mappings: The Basic Concepts of Analysis by Kenneth Anderson, Dick Wick Hall This text bridges the gap between beginning and advanced calculus. It offers a systematic development of the real number system and careful treatment of mappings, sequences, limits, continuity, and metric spaces. 1963 edition.
