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#### Structural Additive Theory

Springer 2013; US$ 129.00¿Nestled between number theory, combinatorics, algebra and analysis lies a rapidly developing subject in mathematics variously known as additive combinatorics, additive number theory, additive group theory, and combinatorial number theory. Its main objects of study are not abelian groups themselves, but rather the additive structure of subsets... more...

#### Prime-Detecting Sieves. (LMS-33)

Princeton University Press 2012; US$ 99.95This 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...

#### Numerical Methods for Equations and its Applications

Taylor and Francis 2012; US$ 93.95This book introduces advanced numerical-functional analysis to beginning computer science researchers. The reader is assumed to have had basic courses in numerical analysis, computer programming, computational linear algebra, and an introduction to real, complex, and functional analysis. Although the book is of a theoretical nature, each chapter contains... more...

#### The Music of the Primes: Why an unsolved problem in mathematics matters (Text Only)

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...

#### Prime Numbers and Computer Methods for Factorization

Springer 2011; US$ 74.95From the original hard cover edition: In the modern age of almost universal computer usage, practically every individual in a technologically developed society has routine access to the most up-to-date cryptographic technology that exists, the so-called RSA public-key cryptosystem. A major component of this system is the factorization of large numbers... more...

#### Fibonacci and Lucas Numbers with Applications

Wiley 2011; US$ 184.00The 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 applications,... more...

#### The DESCENT MAP FROM AUTOMORPHIC REPRESENTATIONS OF GL(N) TO CLASSICAL GROUPS

World Scientific Publishing Company 2011; US$ 138.00This 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 Gelfand–Graev type, or of Fourier–Jacobi type when... more...

#### Mobius Inversion in Physics

World Scientific Publishing Company 2010; US$ 117.00This 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...

#### Twisted L-Functions and Monodromy. (AM-150)

Princeton University Press 2009; US$ 78.50For 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...

#### A Higher-Dimensional Sieve Method

Cambridge University Press 2008; US$ 84.00Modern and practical guide to higher dimensional sieve theory, with an Appendix describing methods for computing sieve functions. more...