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- Princeton University Press 2009; US$ 87.00
For hundreds of years, the study of elliptic curves has played a central role in mathematics. The past century in particular has seen huge progress in this study, from Mordell's theorem in 1922 to the work of Wiles and Taylor-Wiles in 1994. Nonetheless, there remain many fundamental questions where we do not even know what sort of answers to expect.... more...
- Wiley 2011; US$ 190.00
The first comprehensive survey of mathematics' most fascinating number sequences Fibonacci and Lucas numbers have intrigued amateur and professional mathematicians for centuries. This volume represents the first attempt to compile a definitive history and authoritative analysis of these famous integer sequences, complete with a wealth of exciting... more...
- World Scientific Publishing Company 2010; US$ 127.00
This book attempts to bridge the gap between the principles of pure mathematics and the applications in physical science. After the Mobius inversion formula had been considered as purely academic, or beyond what was useful in the physics community for more than 150 years, the apparently obscure result in classical mathematics suddenly appears to be... more...
- World Scientific Publishing Company 2011; US$ 138.00
This book introduces the method of automorphic descent, providing an explicit inverse map to the (weak) Langlands functorial lift from generic, cuspidal representations on classical groups to general linear groups. The essence of this method is the study of certain Fourier coefficients of GelfandGraev type, or of FourierJacobi type when... more...
- HarperCollins Publishers 2012; Not Available
(This ebook contains a limited number of illustrations.) The ebook of the critically-acclaimed popular science book by a writer who is fast becoming a celebrity mathematician. more...
- Princeton University Press 2012; US$ 110.00
This book seeks to describe the rapid development in recent decades of sieve methods able to detect prime numbers. The subject began with Eratosthenes in antiquity, took on new shape with Legendre's form of the sieve, was substantially reworked by Ivan M. Vinogradov and Yuri V. Linnik, but came into its own with Robert C. Vaughan and important contributions... more...
- Cambridge University Press 1993; US$ 80.00
An elementary but detailed insight into the theory of L-functions. The presentation is self contained and concise. more...
- Cambridge University Press 2005; US$ 100.00
Provides a grounding in random matrix techniques applied to analytic number theory. more...