Infinite Processes: Background to Analysis - A. Gardiner - Books - Springer-Verlag New York Inc. - 9781461256564 - October 12, 2011
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A. Gardiner
Infinite Processes: Background to Analysis Softcover Reprint of the Original 1st Ed. 1982 edition

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What shall we say of this metamorphosis in passing from finite to infinite? Galileo, Two New Sciences As its title suggests, this book was conceived as a prologue to the study of "Why the calculus works"--otherwise known as analysis. It is in fact a critical reexamination of the infinite processes arising in elementary math­ ematics: Part II reexamines rational and irrational numbers, and their representation as infinite decimals; Part III examines our ideas of length, area, and volume; and Part IV examines the evolution of the modern function-concept. The book may be used in a number of ways: firstly, as a genuine pro­ logue to analysis; secondly, as a supplementary text within an analysis course, providing a source of elementary motivation, background and ex­ amples; thirdly, as a kind of postscript to elementary analysis-as in a senior undergraduate course designed to reinforce students' understanding of elementary analysis and of elementary mathematics by considering the mathematical and historical connections between them. But the contents of the book should be of interest to a much wider audience than this­ including teachers, teachers in training, students in their last year at school, and others interested in mathematics.

306 pages, biography

Media Books     Paperback Book   (Book with soft cover and glued back)
Released October 12, 2011
ISBN13 9781461256564
Publishers Springer-Verlag New York Inc.
Pages 306
Dimensions 155 × 235 × 17 mm   ·   449 g
Language English  

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