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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Real analysis
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Infinite Processes - Background to Analysis (Paperback, Softcover reprint of the original 1st ed. 1982)
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Infinite Processes - Background to Analysis (Paperback, Softcover reprint of the original 1st ed. 1982)
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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."
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