Sources in the Development of Mathematics Series and Products from the Fifteenth to the Twenty-First Century

Name: Sources in the Development of Mathematics Series and Products from the Fifteenth to the Twenty-First Century
Availability: OutOfStock
ISBN: 9780521114707

ISBN-10: 0521114705

ISBN-13: 9780521114707

Edition: 2011

Authors: Ranjan Roy

List price: $84.99

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Ranjan Roy describes many facets of the discovery & use of infinite series & products as worked out by their originators, including Wallis, Newton, Euler, Gauss, Jacobi, Cayley, Sylvester & Hilbert. He provides context & motivation for these discoveries, with many detailed proofs, offering a perspective on modern mathematics.

Book details

List price: $84.99
Copyright year: 2011
Publisher: Cambridge University Press
Publication date: 6/13/2011
Binding: Hardcover
Pages: 994
Size: 7.32" wide x 10.31" long x 1.97" tall
Weight: 4.180
Language: English

Caroline Roberts is a Visiting Scholar at the Department of English, University of Toronto.Ranjan Roy is a professor in the Faculty of Social Work and the Department of Clinical Health Psychology at the University of Manitoba.




Power series in fifteenth-century Kerala



Sums of powers of integers



Infinite product of Wallis



The binomial theorem



The rectification of curves



Inequalities



Geometric calculus



The calculus of Newton and Leibniz



De Analysi per Aequationes Infinitas



Finite differences: interpolation and quadrature



Series transformation by finite differences



The Taylor series



Integration of rational functions



Difference equations



Differential equations



Series and products for elementary functions



Solution of equations by radicals



Symmetric functions



Calculus of several variables



Algebraic analysis: the calculus of operations



Fourier series



Trigonometric series after 1830



The gamma function



The asymptotic series for ln ï¿½(x)



The Euler-Maclaurin summation formula



L-series



The hypergeometric series



Orthogonal polynomials



q-Series



Partitions



q-Series and q-orthogonal polynomials



Primes in arithmetic progressions



Distribution of primes: early results



Invariant theory: Cayley and Sylvester



Summability



Elliptic functions: eighteenth century



Elliptic functions: nineteenth century



Irrational and transcendental numbers



Value distribution theory



Univalent functions



Finite fields