Foliations II

Foliations II
Author :
Publisher : American Mathematical Soc.
Total Pages : 562
Release :
ISBN-10 : 9780821808818
ISBN-13 : 0821808818
Rating : 4/5 (18 Downloads)

Synopsis Foliations II by : Alberto Candel

This is the second of two volumes on foliations (the first is Volume 23 of this series). In this volume, three specialized topics are treated: analysis on foliated spaces, characteristic classes of foliations, and foliated three-manifolds. Each of these topics represents deep interaction between foliation theory and another highly developed area of mathematics. In each case, the goal is to provide students and other interested people with a substantial introduction to the topic leading to further study using the extensive available literature.

A Course in Metric Geometry

A Course in Metric Geometry
Author :
Publisher : American Mathematical Society
Total Pages : 415
Release :
ISBN-10 : 9781470468538
ISBN-13 : 1470468530
Rating : 4/5 (38 Downloads)

Synopsis A Course in Metric Geometry by : Dmitri Burago

“Metric geometry” is an approach to geometry based on the notion of length on a topological space. This approach experienced a very fast development in the last few decades and penetrated into many other mathematical disciplines, such as group theory, dynamical systems, and partial differential equations. The objective of this graduate textbook is twofold: to give a detailed exposition of basic notions and techniques used in the theory of length spaces, and, more generally, to offer an elementary introduction into a broad variety of geometrical topics related to the notion of distance, including Riemannian and Carnot-Carathéodory metrics, the hyperbolic plane, distance-volume inequalities, asymptotic geometry (large scale, coarse), Gromov hyperbolic spaces, convergence of metric spaces, and Alexandrov spaces (non-positively and non-negatively curved spaces). The authors tend to work with “easy-to-touch” mathematical objects using “easy-to-visualize” methods. The authors set a challenging goal of making the core parts of the book accessible to first-year graduate students. Most new concepts and methods are introduced and illustrated using simplest cases and avoiding technicalities. The book contains many exercises, which form a vital part of the exposition.

Topics in Classical Automorphic Forms

Topics in Classical Automorphic Forms
Author :
Publisher : American Mathematical Soc.
Total Pages : 274
Release :
ISBN-10 : 9780821807774
ISBN-13 : 0821807773
Rating : 4/5 (74 Downloads)

Synopsis Topics in Classical Automorphic Forms by : Henryk Iwaniec

This volume discusses various perspectives of the theory of automorphic forms drawn from the author's notes from a Rutgers University graduate course. In addition to detailed and often nonstandard treatment of familiar theoretical topics, the author also gives special attention to such subjects as theta- functions and representatives by quadratic forms. Annotation copyrighted by Book News, Inc., Portland, OR

The Classification of the Finite Simple Groups, Number 3

The Classification of the Finite Simple Groups, Number 3
Author :
Publisher : American Mathematical Soc.
Total Pages : 446
Release :
ISBN-10 : 0821803913
ISBN-13 : 9780821803912
Rating : 4/5 (13 Downloads)

Synopsis The Classification of the Finite Simple Groups, Number 3 by : Daniel Gorenstein

Examines the internal structure of the finite simple groups of Lie type, the finite alternating groups, and 26 sporadic finite simple groups, as well as their analogues. Emphasis is on the structure of local subgroups and their relationships with one another, rather than development of an abstract theory of simple groups. A foundation is laid for the development of specific properties of K-groups to be used in the inductive proof of the classification theorem. Highlights include statements and proofs of the Breol-Tits and Curtis-Tits theorems, and material on centralizers of semisimple involutions in groups of Lie type. For graduate students and research mathematicians. Annotation copyrighted by Book News, Inc., Portland, OR

Elementary Number Theory

Elementary Number Theory
Author :
Publisher : American Mathematical Society
Total Pages : 256
Release :
ISBN-10 : 9781470463250
ISBN-13 : 1470463253
Rating : 4/5 (50 Downloads)

Synopsis Elementary Number Theory by : Edmund Landau

This three-volume classic work is reprinted here as a single volume.

Model Categories

Model Categories
Author :
Publisher : American Mathematical Soc.
Total Pages : 229
Release :
ISBN-10 : 9780821843611
ISBN-13 : 0821843613
Rating : 4/5 (11 Downloads)

Synopsis Model Categories by : Mark Hovey

Model categories are used as a tool for inverting certain maps in a category in a controllable manner. They are useful in diverse areas of mathematics. This book offers a comprehensive study of the relationship between a model category and its homotopy category. It develops the theory of model categories, giving a development of the main examples.

John Von Neumann, 1903-1957

John Von Neumann, 1903-1957
Author :
Publisher : American Mathematical Soc.
Total Pages : 142
Release :
ISBN-10 : 0821896792
ISBN-13 : 9780821896792
Rating : 4/5 (92 Downloads)

Synopsis John Von Neumann, 1903-1957 by : J. C. Oxtoby

This is Bulletin , Volume 64, Number 3, Part II, May 1958. A memorial to the late John von Neumann edited by J. C. Oxtoby, B. J. Pettis and E. B. Price.

Generalized Cohomology

Generalized Cohomology
Author :
Publisher : American Mathematical Soc.
Total Pages : 276
Release :
ISBN-10 : 0821835149
ISBN-13 : 9780821835142
Rating : 4/5 (49 Downloads)

Synopsis Generalized Cohomology by : Akira Kōno

Aims to give an exposition of generalized (co)homology theories that can be read by a group of mathematicians who are not experts in algebraic topology. This title starts with basic notions of homotopy theory, and introduces the axioms of generalized (co)homology theory. It also discusses various types of generalized cohomology theories.