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Infinite Processes : Background to Analysis by Anthony Gardiner (1982, Hardcover)
Better World Books (2734127)
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- Buy It NowInfinite Processes : Background to Analysis Hardcover Anthony Gar
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About this product
Product Identifiers
PublisherSpringer
ISBN-100387906053
ISBN-139780387906058
eBay Product ID (ePID)165510
Product Key Features
Number of PagesX, 306 Pages
LanguageEnglish
Publication NameInfinite Processes : Background to Analysis
SubjectGeneral, Mathematical Analysis
Publication Year1982
TypeTextbook
AuthorAnthony Gardiner
Subject AreaMathematics
FormatHardcover
Dimensions
Item Weight21.9 Oz
Additional Product Features
Intended AudienceCollege Audience
Number of Volumes1 vol.
IllustratedYes
SynopsisWhat 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.", 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.
LC Classification NumberQA331.5
