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A History of Analysis (Hardcover, illustrated Edition)
Loot Price: R3,171
Discovery Miles 31 710
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A History of Analysis (Hardcover, illustrated Edition)
Series: History of Mathematics
Expected to ship within 12 - 17 working days
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Analysis as an independent subject was created as part of the
scientific revolution in the seventeenth century. Kepler, Galileo,
Descartes, Fermat, Huygens, Newton, and Leibniz, to name but a few,
contributed to its genesis. Since the end of the seventeenth
century, the historical progress of mathematical analysis has
displayed unique vitality and momentum. No other mathematical field
has so profoundly influenced the development of modern scientific
thinking. Describing this multidimensional historical development
requires an in-depth discussion which includes a reconstruction of
general trends and an examination of the specific problems.This
volume is designed as a collective work of authors who are proven
experts in the history of mathematics. It clarifies the conceptual
change that analysis underwent during its development while
elucidating the influence of specific applications and describing
the relevance of biographical and philosophical backgrounds. The
first ten chapters of the book outline chronological development
and the last three chapters survey the history of differential
equations, the calculus of variations, and functional analysis.
Special features are a separate chapter on the development of the
theory of complex functions in the nineteenth century and two
chapters on the influence of physics on analysis.One is about the
origins of analytical mechanics, and one treats the development of
boundary-value problems of mathematical physics (especially
potential theory) in the nineteenth century. The book presents an
accurate and very readable account of the history of analysis. Each
chapter provides a comprehensive bibliography. Mathematical
examples have been carefully chosen so that readers with a modest
background in mathematics can follow them. It is suitable for
mathematical historians and a general mathematical audience.
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