The Real and the Complex: A History of Analysis in the 19th Century by Gray, Jeremy

The Real and the Complex: A History of Analysis in the 19th Century (Paperback) (ISBN-13: 9783319237145)

Vendor: Jeremy Gray
Product type: Books
Format: Paperback
$37.99
$37.99
$37.99
Subtotal: $37.99
The Real and the Complex: A History of Analysis in the 19th Century by Gray, Jeremy

The Real and the Complex: A History of Analysis in the 19th Century

$37.99
The Real and the Complex: A History of Analysis in the 19th Century by Gray, Jeremy

The Real and the Complex: A History of Analysis in the 19th Century

$37.99
Format: Paperback
Description
Description
x
Lagrange and foundations for the calculus.- Joseph Fourier.- Legendre.- Cauchy and continuity.- Cauchy: differentiation and integration.- Cauchy and complex functions to 1830.- Abel.- Jacobi.- Gauss.- Cauchy and complex function theory, 1830-1857.- Complex functions and elliptic integrals.- Revision.- Gauss, Green, and potential theory.- Dirichlet, potential theory, and Fourier series.- Riemann.- Riemann and complex function theory.- Riemann's later complex function theory.- Responses to Riemann's work.- Weierstrass.- Weierstrass's foundational results.- Revision { and assessment.- Uniform Convergence.- Integration and trigonometric series.- The fundamental theorem of the calculus.- The construction of the real numbers.- Implicit functions.- Towards Lebesgue's theory of integration.- Cantor, set theory, and foundations.- Topology.- Assessment.

Author: Jeremy Gray
ISBN-10: 3319237144
ISBN-13: 9783319237145
Publisher: Springer
Language: English
Published: 11/05/2015
Pages: 350
Format: Paperback
Weight: 1.13lbs
Size: 9.21h x 6.14w x 0.76d

Review Citation(s):
Choice 05/01/2016
By Jeremy Gray
By Jeremy Gray
x

Jeremy Gray is the author or co-author of ten books, most recently Hidden Harmony - Geometric Fantasies: the rise of complex function theory (Springer 2013) with Umberto Bottazzini (Milan), upon which this book is based. He is also the author of Henri Poincaré a scientific biography (Princeton U.P. 2012) and Plato's Ghost: The Modernist Transformation of Mathematics (Princeton U.P. 2008). In 2009 he was awarded the Albert Leon Whiteman Memorial Prize of the American Mathematical Society for his work in the history of mathematics, and he was elected an inaugural Fellow of the American Mathematical Society in 2012.

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