Cambridge Tracts In Mathematics PDF Download
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Author | : Sharpe |
Publisher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 1972-07-13 |
Genre | : Mathematics |
ISBN | : 0521083915 |
Download Injective Modules Book in PDF, ePub and Kindle
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 | : D. R. Smart |
Publisher | : CUP Archive |
Total Pages | : 108 |
Release | : 1980-02-14 |
Genre | : Mathematics |
ISBN | : 9780521298339 |
Download Fixed Point Theorems Book in PDF, ePub and Kindle
Author | : Michael Aschbacher |
Publisher | : Cambridge University Press |
Total Pages | : 336 |
Release | : 1994-03-25 |
Genre | : Mathematics |
ISBN | : 9780521420495 |
Download Sporadic Groups Book in PDF, ePub and Kindle
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 | : K. J. Falconer |
Publisher | : Cambridge University Press |
Total Pages | : 184 |
Release | : 1985 |
Genre | : Mathematics |
ISBN | : 9780521337052 |
Download The Geometry of Fractal Sets Book in PDF, ePub and Kindle
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 | : Jean Bertoin |
Publisher | : Cambridge University Press |
Total Pages | : 292 |
Release | : 1996 |
Genre | : Mathematics |
ISBN | : 9780521646321 |
Download Cambridge Tracts in Mathematics Book in PDF, ePub and Kindle
This 1996 book is a comprehensive account of the theory of Lévy processes; aimed at probability theorists.
Author | : |
Publisher | : |
Total Pages | : 102 |
Release | : 1913 |
Genre | : Mathematical physics |
ISBN | : |
Download Cambridge Tracts in Mathematics and Mathematical Physics Book in PDF, ePub and Kindle
Author | : K. Böröczky |
Publisher | : Cambridge University Press |
Total Pages | : 406 |
Release | : 2004-08-02 |
Genre | : Mathematics |
ISBN | : 9780521801577 |
Download Finite Packing and Covering Book in PDF, ePub and Kindle
This book provides an in-depth discussion of the theory of finite packings and coverings by convex bodies.
Author | : Alexei Skorobogatov |
Publisher | : Cambridge University Press |
Total Pages | : 197 |
Release | : 2001-07-05 |
Genre | : Mathematics |
ISBN | : 0521802377 |
Download Torsors and Rational Points Book in PDF, ePub and Kindle
This book, first published in 2001, is a complete and coherent exposition of the theory and applications of torsors to rational points.
Author | : |
Publisher | : CUP Archive |
Total Pages | : 96 |
Release | : 1932 |
Genre | : |
ISBN | : |
Download Cambridge Tracts in Mathematics and Mathematical Physics Book in PDF, ePub and Kindle
Author | : Richard A. Alo |
Publisher | : Cambridge University Press |
Total Pages | : 0 |
Release | : 2009-01-11 |
Genre | : Mathematics |
ISBN | : 9780521095303 |
Download Normal Topological Spaces Book in PDF, ePub and Kindle
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.