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Number Theory

Most popular at the top

  • Continued Fractionsby Doug Hensley

    World Scientific Publishing Company 2006; US$ 193.00

    The Euclidean algorithm is one of the oldest in mathematics, while the study of continued fractions as tools of approximation goes back at least to Euler and Legendre. While our understanding of continued fractions and related methods for simultaneous diophantine approximation has burgeoned over the course of the past decade and more, many of the results... more...

  • The Solution of the K(Gv) Problemby Peter Schmid

    World Scientific Publishing Company 2007; US$ 163.00

    The k(GV) conjecture claims that the number of conjugacy classes (irreducible characters) of the semidirect product GV is bounded above by the order of V . Here V is a finite vector space and G a subgroup of GL(V) of order prime to that of V . It may be regarded as the special case of Brauer's celebrated k(B) problem dealing with p -blocks B... more...

  • The Geometry and Cohomology of Some Simple Shimura Varieties. (AM-151)by Michael Harris; Richard Taylor

    Princeton University Press 2001; US$ 87.50

    This book aims first to prove the local Langlands conjecture for GL n over a p-adic field and, second, to identify the action of the decomposition group at a prime of bad reduction on the l-adic cohomology of the "simple" Shimura varieties. These two problems go hand in hand. The results represent a major advance in algebraic number theory, finally... more...

  • Codes and Ciphersby R. F. Churchhouse

    Cambridge University Press 2001; US$ 37.00

    A close look at the codes and ciphers used by private individuals, spies, governments and industry throughout history. more...

  • Mathematical Modeling for the Life Sciencesby Jacques Istas

    Springer-Verlag Berlin and Heidelberg GmbH & Co. KG 2006; US$ 49.95

    This textbook provides a general overview of realistic mathematical models in life sciences, considering both deterministic and stochastic models and covering dynamical systems, game theory, stochastic processes, and statistical methods. Each mathematical model is explained and illustrated individually with an appropriate biological example. more...

  • Automatic Sequencesby Friedrich Haeseler

    De Gruyter 2003; US$ 182.00

    Automatic sequences are sequences which are produced by a finite automaton. Although they are not random they may look as being random. They are complicated, in the sense of not being not ultimately periodic, they may look rather complicated, in the sense that it may not be easy to name the rule by which the sequence is generated, however there exists... more...

  • Stalking the Riemann Hypothesisby Dan Rockmore

    Knopf Doubleday Publishing Group 2007; US$ 16.00

    For 150 years the Riemann hypothesis has been the holy grail of mathematics. Now, at a moment when mathematicians are finally moving in on a proof, Dartmouth professor Dan Rockmore tells the riveting history of the hunt for a solution.In 1859 German professor Bernhard Riemann postulated a law capable of describing with an amazing degree of accuracy... more...

  • Encyclopedia of Distancesby Michel M. Deza; Elena Deza

    Springer 2009; US$ 239.00

    Distance metrics and distances have become an essential tool in many areas of pure and applied Mathematics. This title offers both independent introductions and definitions, while at the same time making cross-referencing easy through hyperlink-like boldfaced references to original definitions. more...

  • Galois Groups and Fundamental Groupsby Tamás Szamuely

    Cambridge University Press 2009; US$ 46.00

    Assuming little technical background, the author presents the strong analogies between these two concepts starting at an elementary level. more...

  • Multiscale, Nonlinear and Adaptive Approximationby Ronald A. DeVore

    Springer 2009; US$ 239.00

    The book of invited articles offers a collection of high-quality papers in selected and highly topical areas of Applied and Numerical Mathematics and Approximation Theory which have some connection to Wolfgang Dahmen 's scientific work. On the occasion of his 60th birthday, leading experts have contributed survey and research papers in the areas... more...