Book Description
The definitive account of the recent computer solution of the oldest problem in discrete geometry.
Author : Thomas Callister Hales
Publisher : Cambridge University Press
Page : 286 pages
File Size : 48,70 MB
Release : 2012-09-06
Category : Mathematics
ISBN : 0521617707
The definitive account of the recent computer solution of the oldest problem in discrete geometry.
Author : José Luis Massera
Publisher :
Page : 434 pages
File Size : 13,62 MB
Release : 1966
Category : Differential equations, Linear
ISBN :
Author : Lei Tan
Publisher : Cambridge University Press
Page : 88 pages
File Size : 33,55 MB
Release : 2000-04-13
Category : Mathematics
ISBN : 9780521774765
Systematic exposition of current knowledge about the Mandelbrot set, discussing the latest research and results.
Author : Shahn Majid
Publisher : Cambridge University Press
Page : 183 pages
File Size : 24,29 MB
Release : 2002-04-04
Category : Mathematics
ISBN : 0521010411
Self-contained introduction to quantum groups as algebraic objects, suitable as a textbook for graduate courses.
Author : Peter J. Forrester
Publisher : Princeton University Press
Page : 808 pages
File Size : 32,19 MB
Release : 2010-07-01
Category : Mathematics
ISBN : 1400835410
Random matrix theory, both as an application and as a theory, has evolved rapidly over the past fifteen years. Log-Gases and Random Matrices gives a comprehensive account of these developments, emphasizing log-gases as a physical picture and heuristic, as well as covering topics such as beta ensembles and Jack polynomials. Peter Forrester presents an encyclopedic development of log-gases and random matrices viewed as examples of integrable or exactly solvable systems. Forrester develops not only the application and theory of Gaussian and circular ensembles of classical random matrix theory, but also of the Laguerre and Jacobi ensembles, and their beta extensions. Prominence is given to the computation of a multitude of Jacobians; determinantal point processes and orthogonal polynomials of one variable; the Selberg integral, Jack polynomials, and generalized hypergeometric functions; Painlevé transcendents; macroscopic electrostatistics and asymptotic formulas; nonintersecting paths and models in statistical mechanics; and applications of random matrix theory. This is the first textbook development of both nonsymmetric and symmetric Jack polynomial theory, as well as the connection between Selberg integral theory and beta ensembles. The author provides hundreds of guided exercises and linked topics, making Log-Gases and Random Matrices an indispensable reference work, as well as a learning resource for all students and researchers in the field.
Author : Krzysztof Ciesielski
Publisher : Cambridge University Press
Page : 256 pages
File Size : 23,32 MB
Release : 1997-08-28
Category : Mathematics
ISBN : 9780521594653
Presents those methods of modern set theory most applicable to other areas of pure mathematics.
Author : Mike Prest
Publisher : Cambridge University Press
Page : 402 pages
File Size : 17,79 MB
Release : 1988-02-25
Category : Mathematics
ISBN : 0521348331
In recent years the interplay between model theory and other branches of mathematics has led to many deep and intriguing results. In this, the first book on the topic, the theme is the interplay between model theory and the theory of modules. The book is intended to be a self-contained introduction to the subject and introduces the requisite model theory and module theory as it is needed. Dr Prest develops the basic ideas concerning what can be said about modules using the information which may be expressed in a first-order language. Later chapters discuss stability-theoretic aspects of modules, and structure and classification theorems over various types of rings and for certain classes of modules. Both algebraists and logicians will enjoy this account of an area in which algebra and model theory interact in a significant way. The book includes numerous examples and exercises and consequently will make an ideal introduction for graduate students coming to this subject for the first time.
Author : G. J. O. Jameson
Publisher : Cambridge University Press
Page : 266 pages
File Size : 40,45 MB
Release : 2003-04-17
Category : Mathematics
ISBN : 9780521891103
At first glance the prime numbers appear to be distributed in a very irregular way amongst the integers, but it is possible to produce a simple formula that tells us (in an approximate but well defined sense) how many primes we can expect to find that are less than any integer we might choose. The prime number theorem tells us what this formula is and it is indisputably one of the great classical theorems of mathematics. This textbook gives an introduction to the prime number theorem suitable for advanced undergraduates and beginning graduate students. The author's aim is to show the reader how the tools of analysis can be used in number theory to attack a 'real' problem, and it is based on his own experiences of teaching this material.
Author : London Mathematical Society
Publisher :
Page : 290 pages
File Size : 15,28 MB
Release : 1926
Category : Electronic journals
ISBN :
Author : London Mathematical Society
Publisher :
Page : 1062 pages
File Size : 17,54 MB
Release : 1962
Category : Mathematics
ISBN :