An Introduction to Measure Theory (graduate Studies in Mathematics)

An Invitation to Arithmetic Geometry (Graduate Studies in Mathematics, Vol 9)

An Invitation to Arithmetic Geometry (Graduate Studies in Mathematics, Vol 9) GSM/9 by Dino Lorenzini
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.
Introduction to Cyclotomic Fields (Graduate Texts in Mathematics) by Lawrence C. Washington

Introduction to Cyclotomic Fields (Graduate Texts in Mathematics) by Lawrence C. Washington
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.
An Introduction to Measure and Probability (Textbooks in Mathematical Sciences) by John Taylor

An Introduction to Measure and Probability (Textbooks in Mathematical Sciences) by John Taylor
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.
Problems in Operator Theory (Graduate Studies in Mathematics, V. 51) by Charalambos D. Aliprantis

Problems in Operator Theory (Graduate Studies in Mathematics, V. 51) by Charalambos D. Aliprantis
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.
An Introduction to Homogenization (Oxford Lecture Series in Mathematics and Its Applications) by Doina Cioranescu

An Introduction to Homogenization (Oxford Lecture Series in Mathematics and Its Applications) by Doina Cioranescu
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.
Introduction to Smooth Manifolds (Graduate Texts in Mathematics, Vol. 218), 2nd edition (repost)

Introduction to Smooth Manifolds (Graduate Texts in Mathematics, Vol. 218), 2nd edition by John Lee
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.
Introduction to Smooth Manifolds (Graduate Texts in Mathematics, Vol. 218), 2nd edition (repost)

Introduction to Smooth Manifolds (Graduate Texts in Mathematics, Vol. 218), 2nd edition by John Lee
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.

An Introduction to Measure Theory  eBooks & eLearning

Posted by andr1078 at April 8, 2014
An Introduction to Measure Theory

Terrence Tao "An Introduction to Measure Theory"
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.
Algebraic Groups and Differential Galois Theory (Graduate Studies in Mathematics)

Algebraic Groups and Differential Galois Theory (Graduate Studies in Mathematics) by Teresa Crespo and Zbigniew Hajto
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.

An Introduction to Markov Processes [Repost]  eBooks & eLearning

Posted by tanas.olesya at Nov. 9, 2016
An Introduction to Markov Processes [Repost]

An Introduction to Markov Processes (Graduate Texts in Mathematics) by Daniel W. Stroock
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