Posted by **interes** at Jan. 19, 2014

English | 1996 | ISBN: 0821802674 | ISBN-13: 9780821802670 | 397 pages | DJVU | 6,1 MB

In this volume the author gives a unified presentation of some of the basic tools and concepts in number theory, commutative algebra, and algebraic geometry, and for the first time in a book at this level, brings out the deep analogies between them. The geometric viewpoint is stressed throughout the book.

Posted by **tanas.olesya** at Aug. 10, 2015

English | 2nd ed. 1997 edition (September 27, 2012) | ISBN: 1461273463 | 503 Pages | PDF | 37 MB

This text on a central area of number theory covers p-adic L-functions, class numbers, cyclotomic units, Fermat’s Last Theorem, and Iwasawa’s theory of Z_p-extensions.

Posted by **tanas.olesya** at July 23, 2015

English | July 31, 1998 | ISBN: 0387948309 | 315 Pages | PDF | 25 MB

Assuming only calculus and linear algebra, Professor Taylor introduces readers to measure theory and probability, discrete martingales, and weak convergence. This is a technically complete, self-contained and rigorous approach that helps the reader to develop basic skills in analysis and probability.

Posted by **tanas.olesya** at April 30, 2015

English | Sep 10, 2002 | ISBN: 0821821474 | 402 Pages | PDF | 11 MB

This is one of the few books available in the literature that contains problems devoted entirely to the theory of operators on Banach spaces and Banach lattices.

Posted by **BUGSY** at April 20, 2015

English | Feb 24, 2000 | ISBN: 0198565542 | 271 Pages | PDF | 7 MB

Composite materials are widely used in industry and include such well known examples as superconductors and optical fibers. However, modeling these materials is difficult, since they often has different properties at different points. The mathematical theory of homogenization is designed to handle this problem.

Posted by **libr** at Sept. 24, 2014

English | 2012-08-26 | ISBN: 1441999817 | PDF | 723 pages | 4,6 MB

This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research—smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more.

Posted by **interes** at April 23, 2014

English | 2012-08-26 | ISBN: 1441999817 | PDF | 723 pages | 4,6 MB

This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research—smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more.

Posted by **andr1078** at April 8, 2014

Publisher: American Mathematical Society | English | 2011 | ISBN:0821869191 | 206 pages | PDF | 1.28 MB

This is a graduate text introducing the fundamentals of measure theory and integration theory, which is the foundation of modern real analysis.

Posted by **interes** at Jan. 30, 2014

English | 2011 | ISBN: 082185318X | ISBN-13: 9780821853184 | 225 pages | DJVU | 3 MB

Differential Galois theory has seen intense research activity during the last decades in several directions: elaboration of more general theories, computational aspects, model theoretic approaches, applications to classical and quantum mechanics as well as to other mathematical areas such as number theory.

Posted by **tanas.olesya** at Nov. 9, 2016

English | 23 Nov. 2004 | ISBN: 3540234993 | 196 Pages | PDF | MB

Provides a more accessible introduction than other books on Markov processes by emphasizing the structure of the subject and avoiding sophisticated measure theory