Injective Modules

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Publisher : Cambridge University Press
ISBN 13 : 0521083915
Total Pages : 0 pages
Book Rating : 4.5/5 (21 download)

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Book Synopsis Injective Modules by : Sharpe

Download or read book Injective Modules written by Sharpe and published by Cambridge University Press. This book was released on 1972-07-13 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Cambridge Tracts in Mathematics

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Publisher : Cambridge University Press
ISBN 13 : 9780521646321
Total Pages : 292 pages
Book Rating : 4.6/5 (463 download)

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Book Synopsis Cambridge Tracts in Mathematics by : Jean Bertoin

Download or read book Cambridge Tracts in Mathematics written by Jean Bertoin and published by Cambridge University Press. This book was released on 1996 with total page 292 pages. Available in PDF, EPUB and Kindle. Book excerpt: This 1996 book is a comprehensive account of the theory of Lévy processes; aimed at probability theorists.

Sporadic Groups

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Publisher : Cambridge University Press
ISBN 13 : 9780521420495
Total Pages : 336 pages
Book Rating : 4.4/5 (24 download)

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Book Synopsis Sporadic Groups by : Michael Aschbacher

Download or read book Sporadic Groups written by Michael Aschbacher and published by Cambridge University Press. This book was released on 1994-03-25 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Geometry of Fractal Sets

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Publisher : Cambridge University Press
ISBN 13 : 9780521337052
Total Pages : 184 pages
Book Rating : 4.3/5 (37 download)

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Book Synopsis The Geometry of Fractal Sets by : K. J. Falconer

Download or read book The Geometry of Fractal Sets written by K. J. Falconer and published by Cambridge University Press. This book was released on 1985 with total page 184 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Cambridge Tracts in Mathematics and Mathematical Physics

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Publisher :
ISBN 13 :
Total Pages : 102 pages
Book Rating : 4.:/5 (51 download)

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Book Synopsis Cambridge Tracts in Mathematics and Mathematical Physics by :

Download or read book Cambridge Tracts in Mathematics and Mathematical Physics written by and published by . This book was released on 1913 with total page 102 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Assouad Dimension and Fractal Geometry

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Publisher : Cambridge University Press
ISBN 13 : 1108478654
Total Pages : 287 pages
Book Rating : 4.1/5 (84 download)

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Book Synopsis Assouad Dimension and Fractal Geometry by : Jonathan M. Fraser

Download or read book Assouad Dimension and Fractal Geometry written by Jonathan M. Fraser and published by Cambridge University Press. This book was released on 2020-10-29 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: The first thorough treatment of the Assouad dimension in fractal geometry, with applications to many fields within pure mathematics.

Combinatorics of Minuscule Representations

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Publisher : Cambridge University Press
ISBN 13 : 1107026245
Total Pages : 329 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Combinatorics of Minuscule Representations by : R. M. Green

Download or read book Combinatorics of Minuscule Representations written by R. M. Green and published by Cambridge University Press. This book was released on 2013-02-21 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: Uses the combinatorics and representation theory to construct and study important families of Lie algebras and Weyl groups.

Normal Topological Spaces

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Publisher : Cambridge University Press
ISBN 13 : 9780521095303
Total Pages : 0 pages
Book Rating : 4.0/5 (953 download)

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Book Synopsis Normal Topological Spaces by : Richard A. Alo

Download or read book Normal Topological Spaces written by Richard A. Alo and published by Cambridge University Press. This book was released on 2009-01-11 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Analysis on Fractals

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Publisher : Cambridge University Press
ISBN 13 : 0521793211
Total Pages : 238 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis Analysis on Fractals by : Jun Kigami

Download or read book Analysis on Fractals written by Jun Kigami and published by Cambridge University Press. This book was released on 2001-06-07 with total page 238 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Cambridge Tracts in Mathematics and Mathematical Physics

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Author :
Publisher : CUP Archive
ISBN 13 :
Total Pages : 96 pages
Book Rating : 4./5 ( download)

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Book Synopsis Cambridge Tracts in Mathematics and Mathematical Physics by :

Download or read book Cambridge Tracts in Mathematics and Mathematical Physics written by and published by CUP Archive. This book was released on 1932 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Cambridge - Tracts in Mathematics and Mathematical Physics

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (257 download)

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Book Synopsis Cambridge - Tracts in Mathematics and Mathematical Physics by : Godfrey Harold Hardy

Download or read book Cambridge - Tracts in Mathematics and Mathematical Physics written by Godfrey Harold Hardy and published by . This book was released on 1932 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Cube-A Window to Convex and Discrete Geometry

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Publisher : Cambridge University Press
ISBN 13 : 9780521855358
Total Pages : 196 pages
Book Rating : 4.8/5 (553 download)

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Book Synopsis The Cube-A Window to Convex and Discrete Geometry by : Chuanming Zong

Download or read book The Cube-A Window to Convex and Discrete Geometry written by Chuanming Zong and published by Cambridge University Press. This book was released on 2006-02-02 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory.

Coherence in Three-Dimensional Category Theory

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Publisher : Cambridge University Press
ISBN 13 : 1107034892
Total Pages : 287 pages
Book Rating : 4.1/5 (7 download)

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Book Synopsis Coherence in Three-Dimensional Category Theory by : Nick Gurski

Download or read book Coherence in Three-Dimensional Category Theory written by Nick Gurski and published by Cambridge University Press. This book was released on 2013-03-21 with total page 287 pages. Available in PDF, EPUB and Kindle. Book excerpt: Serves as an introduction to higher categories as well as a reference point for many key concepts in the field.

Riemannian Geometry

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Publisher : Cambridge University Press
ISBN 13 : 1139452576
Total Pages : 4 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Riemannian Geometry by : Isaac Chavel

Download or read book Riemannian Geometry written by Isaac Chavel and published by Cambridge University Press. This book was released on 2006-04-10 with total page 4 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an introduction to Riemannian geometry, the geometry of curved spaces, for use in a graduate course. Requiring only an understanding of differentiable manifolds, the author covers the introductory ideas of Riemannian geometry followed by a selection of more specialized topics. Also featured are Notes and Exercises for each chapter, to develop and enrich the reader's appreciation of the subject. This second edition, first published in 2006, has a clearer treatment of many topics than the first edition, with new proofs of some theorems and a new chapter on the Riemannian geometry of surfaces. The main themes here are the effect of the curvature on the usual notions of classical Euclidean geometry, and the new notions and ideas motivated by curvature itself. Completely new themes created by curvature include the classical Rauch comparison theorem and its consequences in geometry and topology, and the interaction of microscopic behavior of the geometry with the macroscopic structure of the space.

Fixed Point Theory and Applications

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Publisher : Cambridge University Press
ISBN 13 : 1139433792
Total Pages : 182 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Fixed Point Theory and Applications by : Ravi P. Agarwal

Download or read book Fixed Point Theory and Applications written by Ravi P. Agarwal and published by Cambridge University Press. This book was released on 2001-03-22 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides a clear exposition of the flourishing field of fixed point theory. Starting from the basics of Banach's contraction theorem, most of the main results and techniques are developed: fixed point results are established for several classes of maps and the three main approaches to establishing continuation principles are presented. The theory is applied to many areas of interest in analysis. Topological considerations play a crucial role, including a final chapter on the relationship with degree theory. Researchers and graduate students in applicable analysis will find this to be a useful survey of the fundamental principles of the subject. The very extensive bibliography and close to 100 exercises mean that it can be used both as a text and as a comprehensive reference work, currently the only one of its type.

Designs and Their Codes

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Publisher : Cambridge University Press
ISBN 13 : 9780521458399
Total Pages : 366 pages
Book Rating : 4.4/5 (583 download)

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Book Synopsis Designs and Their Codes by : E. F. Assmus

Download or read book Designs and Their Codes written by E. F. Assmus and published by Cambridge University Press. This book was released on 1994-01-06 with total page 366 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained account suited for a wide audience describing coding theory, combinatorial designs and their relations.

Gibbs States on Countable Sets

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Publisher : Cambridge University Press
ISBN 13 : 0521203759
Total Pages : 0 pages
Book Rating : 4.5/5 (212 download)

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Book Synopsis Gibbs States on Countable Sets by : Christopher J. Preston

Download or read book Gibbs States on Countable Sets written by Christopher J. Preston and published by Cambridge University Press. This book was released on 1974-07-18 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book is an introduction to some of the 1967-1974 results and techniques in classical lattice statistical mechanics. It is written in the language of probability theory rather than that of physics, and is thus aimed primarily at mathematicians who might have little or no background in physics. This area of statistical mechanics is presently enjoying a rapid growth and the book should allow a graduate student or research mathematician to find out what is happening in it. The book is self-contained except for some basic concepts of probability theory, and can be read by any undergraduate student in mathematics who has a reasonable background in probability.