Description |
1 online resource (434 pages) |
Series |
History of Mathematics ; v. 24 |
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History of mathematics.
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Contents |
Cover; Title page; Contents; Introduction; Antiquity; Precursors of differentiation and integration; Newton's method and Leibniz's calculus; Algebraic analysis in the 18th century; The origins of analytic mechanics in the 18th century; The foundation of analysis in the 19th century; Analysis and physics in the nineteenth century: The case of boundary-value problems; Complex function theory, 1780-1900; Theory of measure and integration from Riemann to Lebesgue; The end of the science of quantity: Foundations of analysis, 1860-1910; Differential equations: A historical overview to circa 1900 |
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The calculus of variations: A historical surveyThe origins of functional analysis; Index of names; Subject index; Back Cover |
Summary |
The book describes the conceptual development of analysis from antiquity up to the end of the nineteenth century. Intra-theoretical processes are considered as well as the influence of applied problems and biographical and philosophical backgrounds. The book has thirteen chapters, each written by a leading specialist in the history of mathematics. The first ten chapters tell the story in its temporal succession (narrative order) whereas the last three chapters give surveys on the history of differential equations, the calculus of variations, and functional analysis. Special features of the boo |
Notes |
Print version record |
Subject |
Mathematical analysis -- History
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Mathematical analysis
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Genre/Form |
History
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Form |
Electronic book
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ISBN |
9781470438920 |
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1470438925 |
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