Conceived by the author as an introduction to "why the calculus works," this volume offers a 4-part treatment: an overview; a detailed examination of the infinite processes arising in the realm of numbers; an exploration of the extent to which familiar geometric notions depend on infinite processes; and the evolution of the concept of functions. 1982 edition. Unabridged republication of Infinite Processes as published by Springer-Verlag, New York, 1982.
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Discovering Mathematics: The Art of Investigation by A. Gardiner With puzzles involving coins, postage stamps, and other commonplace items, readers are challenged to explain perplexing mathematical phenomena. Simple methods are employed to capture the essentials of mathematical discovery. Solutions.