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Number Theory

Most popular at the top

  • Advanced Markov Chain Monte Carlo Methodsby Faming Liang; Chuanhai Liu; Raymond Carroll

    Wiley 2011; US$ 128.00

    Markov Chain Monte Carlo (MCMC) methods are now an indispensable tool in scientific computing. This book discusses recent developments of MCMC methods with an emphasis on those making use of past sample information during simulations. The application examples are drawn from diverse fields such as bioinformatics, machine learning, social science, combinatorial... 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...

  • On Some Applications of Diophantine Approximationsby Umberto Zannier

    Scuola Normale Superiore 2015; US$ 39.99

    This book consists mainly of the translation, by C. Fuchs, of the 1929 landmark paper "Über einige Anwendungen diophantischer Approximationen" by C.L. Siegel. The paper contains proofs of most important results in transcendence theory and diophantine analysis, notably Siegel?s celebrated theorem on integral points on algebraic curves. Many modern versions... more...

  • Codes and Ciphersby R. F. Churchhouse

    Cambridge University Press 2001; US$ 40.00

    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... more...

  • Stalking the Riemann Hypothesisby Dan Rockmore

    Knopf Doubleday Publishing Group 2007; US$ 16.00

    New Scientist ?A terrific read. . . . Like a fast-paced detective story. . . . With crystalline clarity and a refreshing sense of fun, Dan Rockmore . . . takes us on a guided tour of the deepest mystery in mathematics.? ?Steven Strogatz, author of Sync ?Remarkable and exciting. . . . The sheer beauty of the writing, the appealing historical perspective,... more...

  • Galois Groups and Fundamental Groupsby Tamás Szamuely

    Cambridge University Press 2009; US$ 60.00

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

  • Encyclopedia of Distancesby Michel Marie Deza; Elena Deza

    Springer Berlin Heidelberg 2009; US$ 239.00

    Distance metrics and distances have become essential in many areas of pure and applied mathematics, and this encyclopedia is the first to treat the subject in full. It offers independent introductions and definitions but makes cross-referencing uniquely easy. more...

  • Fat Manifolds and Linear Connectionsby Alessandro De Paris

    World Scientific Publishing Company 2008; US$ 152.00

    In this unique book, written in a reasonably self-contained manner, the theory of linear connections is systematically presented as a natural part of differential calculus over commutative algebras. This not only makes easy and natural numerous generalizations of the classical theory and reveals various new aspects of it, but also shows in a clear... more...