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

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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.
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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
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 �(x)
The Euler-Maclaurin summation formula
The hypergeometric series
Orthogonal polynomials
q-Series and q-orthogonal polynomials
Primes in arithmetic progressions
Distribution of primes: early results
Invariant theory: Cayley and Sylvester
Elliptic functions: eighteenth century
Elliptic functions: nineteenth century
Irrational and transcendental numbers
Value distribution theory
Univalent functions
Finite fields