This new book builds on the lifetime experience of Jan Mikusinski, one of the world's top researchers and teachers of mathematical analysis. It is intended to provide students with a solid background for further studies in analysis, to deepen their understanding of calculus, and to provide sound training in rigorous mathematical proof.

Pr�sentation de l'�diteur

Based on the lifetime work of leading teacher and researcher Jan Mikusinski, this classroom–tested book provides a thorough grounding in mathematical analysis, calculus and mathematical proofing. It introduces natural numbers through a new mathematical approach; replaces the Riemann integral with the more general Lebesgue integral; and rigorously develops the real number system from four simple axioms of natural numbers. Additional features include a wider range of problems than other texts––including simple and routine as well as problems requiring more in depth creativity, answers to common questions, a new approach to the concept of equivalence relation which simplifies the construction of real numbers, and a large number of computational applications.

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