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portada Infinite Processes: Background to Analysis
Type
Physical Book
Author
Publisher
Language
English
Pages
306
Format
Paperback
Dimensions
23.4x15.6x1.7 cm
Weight
0.45 kg.
ISBN13
9781461256564
Categories

Infinite Processes: Background to Analysis

A. Gardiner (Author) · Springer · Paperback

Infinite Processes: Background to Analysis - Gardiner, A.

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Synopsis "Infinite Processes: Background to Analysis"

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.

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