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Author : Anonim
Publisher : CUP Archive
Page : 96 pages
File Size : 40,9 Mb
Release : 1932
Category : Electronic
ISBN : 8210379456XXX
Author : Anonim
Publisher : Unknown
Page : 204 pages
File Size : 49,8 Mb
Release : 1971
Category : Mathematical physics
ISBN : UCAL:B5137407
Author : Sharpe,David William Sharpe,P. Vámos
Publisher : Cambridge University Press
Page : 0 pages
File Size : 43,8 Mb
Release : 1972-07-13
Category : Mathematics
ISBN : 9780521083911
In the preface of this book, the authors express the view that 'a good working knowledge of injective modules is a sound investment for module theorists'. The existing literature on the subject has tended to deal with the applications of injective modules to ring theory. The aim of this tract is to demonstrate some of the applications of injective modules to commutative algebra. A number of well-known concepts and results which so far have been applicable principally to commutative rings are generalized to a non-commutative context. There are exercises and brief notes appended to each chapter to illustrate and extend the scope of the treatment in the main text. Together with the short bibliography the notes form a guide to sources of reading for students and researchers who wish to delve more exhaustively into the theory of injective modules. The tract is intended primarily for those who have some knowledge of the rudiments of commutative algebra, although these are recalled at the outset.
Author : Jean Bertoin
Publisher : Cambridge University Press
Page : 292 pages
File Size : 44,8 Mb
Release : 1996
Category : Mathematics
ISBN : 0521646324
This 1996 book is a comprehensive account of the theory of Lévy processes; aimed at probability theorists.
Author : Godfrey Harold Hardy,Marcel Riesz
Publisher : Unknown
Page : 78 pages
File Size : 42,9 Mb
Release : 1915
Category : Dirichlet series
ISBN : OCLC:1552653
Author : Jonathan M. Fraser
Publisher : Cambridge University Press
Page : 287 pages
File Size : 53,8 Mb
Release : 2020-10-29
Category : Mathematics
ISBN : 9781108478656
The first thorough treatment of the Assouad dimension in fractal geometry, with applications to many fields within pure mathematics.
Author : R. M. Green
Publisher : Cambridge University Press
Page : 329 pages
File Size : 55,7 Mb
Release : 2013-02-21
Category : Mathematics
ISBN : 9781107026247
Uses the combinatorics and representation theory to construct and study important families of Lie algebras and Weyl groups.
Author : Michael Aschbacher
Publisher : Cambridge University Press
Page : 336 pages
File Size : 45,5 Mb
Release : 1994-03-25
Category : Mathematics
ISBN : 0521420490
Sporadic Groups is the first step in a programme to provide a uniform, self-contained treatment of the foundational material on the sporadic finite simple groups. The classification of the finite simple groups is one of the premier achievements of modern mathematics. The classification demonstrates that each finite simple group is either a finite analogue of a simple Lie group or one of 26 pathological sporadic groups. Sporadic Groups provides for the first time a self-contained treatment of the foundations of the theory of sporadic groups accessible to mathematicians with a basic background in finite groups such as in the author's text Finite Group Theory. Introductory material useful for studying the sporadics, such as a discussion of large extraspecial 2-subgroups and Tits' coset geometries, opens the book. A construction of the Mathieu groups as the automorphism groups of Steiner systems follows. The Golay and Todd modules, and the 2-local geometry for M24 are discussed. This is followed by the standard construction of Conway of the Leech lattice and the Conway group. The Monster is constructed as the automorphism group of the Griess algebra using some of the best features of the approaches of Griess, Conway, and Tits, plus a few new wrinkles. Researchers in finite group theory will find this text invaluable. The subjects treated will interest combinatorists, number theorists, and conformal field theorists.
Author : John Charles Burkill
Publisher : Unknown
Page : 87 pages
File Size : 47,8 Mb
Release : 1951
Category : Integrals, Generalized
ISBN : LCCN:52007912
Author : K. J. Falconer
Publisher : Cambridge University Press
Page : 184 pages
File Size : 41,8 Mb
Release : 1985
Category : Mathematics
ISBN : 0521337054
A mathematical study of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Considers questions of local density, the existence of tangents of such sets as well as the dimensional properties of their projections in various directions.
Author : Jun Kigami
Publisher : Cambridge University Press
Page : 238 pages
File Size : 48,6 Mb
Release : 2001-06-07
Category : Mathematics
ISBN : 9780521793216
This book covers analysis on fractals, a developing area of mathematics which focuses on the dynamical aspects of fractals, such as heat diffusion on fractals and the vibration of a material with fractal structure. The book provides a self-contained introduction to the subject, starting from the basic geometry of self-similar sets and going on to discuss recent results, including the properties of eigenvalues and eigenfunctions of the Laplacians, and the asymptotical behaviors of heat kernels on self-similar sets. Requiring only a basic knowledge of advanced analysis, general topology and measure theory, this book will be of value to graduate students and researchers in analysis and probability theory. It will also be useful as a supplementary text for graduate courses covering fractals.
Author : Richard A. Alo,Harvey L. Shapiro
Publisher : Cambridge University Press
Page : 0 pages
File Size : 47,7 Mb
Release : 2009-01-11
Category : Mathematics
ISBN : 0521095301
This text bridges the gap existing in the field of set theoretical topology between the introductory texts and the more specialised monographs. The authors review fit developments in general topology and discuss important new areas of research and the importance of defining a methodology applicable to this active field of mathematics. The concept of normal cover and related ideas is considered in detail, as are the characterisations of normal spaces, collectionwise normal spaces and their interrelationships with paracompact spaces (and other weaker forms of compactness). Various methods of embedding subspaces are studied, before considering newer concepts such as M-spaces and their relationships with established ideas. These ideas are applied to give new results pertaining to the extension of continuous vector-valued functions. Wallman-Frink compactifications and realcompactifications are also studied to assist in unifying the ideas through the use of the more general L-filter.
Author : Archibald Henderson
Publisher : Unknown
Page : 118 pages
File Size : 54,6 Mb
Release : 1960
Category : Mathematical physics
ISBN : MSU:31293003760422
Author : K. Böröczky
Publisher : Cambridge University Press
Page : 406 pages
File Size : 49,8 Mb
Release : 2004-08-02
Category : Mathematics
ISBN : 0521801575
This book provides an in-depth discussion of the theory of finite packings and coverings by convex bodies.
Author : T. Estermann
Publisher : Unknown
Page : 74 pages
File Size : 41,5 Mb
Release : 1952
Category : Numbers, Prime
ISBN : LCCN:52010132
