Infinite Processes - Background to Analysis (Paperback, Softcover reprint of the original 1st ed. 1982)

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."

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Release date:	October 2011
First published:	1982
Authors:	A Gardiner
Dimensions:	235 x 155 x 17mm (L x W x T)
Format:	Paperback
Pages:	306
Edition:	Softcover reprint of the original 1st ed. 1982
ISBN-13:	978-1-4612-5656-4
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis
LSN:	1-4612-5656-9
Barcode:	9781461256564

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