Adams Memorial Symposium on Algebraic Topology
Adams Memorial Symposium on Algebraic Topology

Author: Nigel Ray

Publisher: Cambridge University Press

Published: 1992

Total Pages: 333

ISBN-13: 0521421535

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J. Frank Adams had a profound influence on algebraic topology, and his works continue to shape its development. The International Symposium on Algebraic Topology held in Manchester during July 1990 was dedicated to his memory, and virtually all of the world's leading experts took part. This two volume work constitutes the proceedings of the symposium; the articles contained here range from overviews to reports of work still in progress, as well as a survey and complete bibliography of Adams' own work. These proceedings form an important compendium of current research in algebraic topology, and.

Adams Memorial Symposium on Algebraic Topology: Volume 2
Adams Memorial Symposium on Algebraic Topology: Volume 2

Author: Nigel Ray

Publisher: Cambridge University Press

Published: 1992-05-07

Total Pages: 332

ISBN-13: 9780521421539

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J. Frank Adams had a profound influence on algebraic topology, and his work continues to shape its development. The International Symposium on Algebraic Topology held in Manchester during July 1990 was dedicated to his memory, and virtually all of the world's leading experts took part. This two volume work constitutes the proceedings of the symposium; the articles contained here range from overviews to reports of work still in progress, as well as a survey and complete bibliography of Adam's own work. These proceedings form an important compendium of current research in algebraic topology, and one that demonstrates the depth of Adams' many contributions to the subject. This second volume is oriented towards homotopy theory, the Steenrod algebra and the Adams spectral sequence. In the first volume the theme is mainly unstable homotopy theory, homological and categorical.

Homotopy Methods in Algebraic Topology
Homotopy Methods in Algebraic Topology

Author: Nicholas Kuhn

Publisher: American Mathematical Soc.

Published: 2001-04-25

Total Pages: 370

ISBN-13: 0821826212

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This volume presents the proceedings from the AMS-IMS-SIAM Summer Research Conference on Homotopy Methods in Algebraic Topology held at the University of Colorado (Boulder). The conference coincided with the sixtieth birthday of J. Peter May. An article is included reflecting his wide-ranging and influential contributions to the subject area. Other articles in the book discuss the ordinary, elliptic and real-oriented Adams spectral sequences, mapping class groups, configuration spaces, extended powers, operads, the telescope conjecture, $p$-compact groups, algebraic K theory, stable and unstable splittings, the calculus of functors, the $E_{\infty}$ tensor product, and equivariant cohomology theories. The book offers a compendious source on modern aspects of homotopy theoretic methods in many algebraic settings.

Finite Geometry and Combinatorics
Finite Geometry and Combinatorics

Author: Albrecht Beutelspacher

Publisher: Cambridge University Press

Published: 1993

Total Pages: 428

ISBN-13: 9780521448505

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Included here are articles from many of the leading practitioners in the field, including, for the first time, several distinguished Russian mathematicians. Many of the papers contain important new results, and the growing use of computer algebra packages in this area is also demonstrated.

Double Affine Hecke Algebras
Double Affine Hecke Algebras

Author: Ivan Cherednik

Publisher: Cambridge University Press

Published: 2005-03-21

Total Pages: 449

ISBN-13: 0521609186

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This is an essentially self-contained monograph centered on the new double Hecke algebra technique.

Advances in Elliptic Curve Cryptography
Advances in Elliptic Curve Cryptography

Author: Ian F. Blake

Publisher: Cambridge University Press

Published: 2005-04-25

Total Pages: 308

ISBN-13: 9781139441223

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Since the appearance of the authors' first volume on elliptic curve cryptography in 1999 there has been tremendous progress in the field. In some topics, particularly point counting, the progress has been spectacular. Other topics such as the Weil and Tate pairings have been applied in new and important ways to cryptographic protocols that hold great promise. Notions such as provable security, side channel analysis and the Weil descent technique have also grown in importance. This second volume addresses these advances and brings the reader up to date. Prominent contributors to the research literature in these areas have provided articles that reflect the current state of these important topics. They are divided into the areas of protocols, implementation techniques, mathematical foundations and pairing based cryptography. Each of the topics is presented in an accessible, coherent and consistent manner for a wide audience that will include mathematicians, computer scientists and engineers.

Advances in Linear Logic
Advances in Linear Logic

Author: Jean-Yves Girard

Publisher: Cambridge University Press

Published: 1995-06-22

Total Pages: 401

ISBN-13: 0521559618

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This volume gives an overview of linear logic that will be useful to mathematicians and computer scientists working in this area.

Novikov Conjectures, Index Theorems, and Rigidity: Volume 1
Novikov Conjectures, Index Theorems, and Rigidity: Volume 1

Author: Steven C. Ferry

Publisher: Cambridge University Press

Published: 1995-11-23

Total Pages: 386

ISBN-13: 0521497965

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These volumes are the outgrowth of a conference held at the Mathematisches Forschungsinstitut Oberwolfach (Germany) on the subject of 'Novikov Conjectures, Index Theorems and Rigidity'.

Squares
Squares

Author: A. R. Rajwade

Publisher: Cambridge University Press

Published: 1993-10-14

Total Pages: 302

ISBN-13: 0521426685

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Many classical and modern results and quadratic forms are brought together in this book. The treatment is self-contained and of a totally elementary nature requiring only a basic knowledge of rings, fields, polynomials, and matrices, such that the works of Pfister, Hilbert, Hurwitz and others are easily accessible to non-experts and undergraduates alike. The author deals with many different approaches to the study of squares; from the classical works of the late 19th century, to areas of current research. Anyone with an interest in algebra or number theory will find this a most fascinating volume.

Computability, Enumerability, Unsolvability
Computability, Enumerability, Unsolvability

Author: S. B. Cooper

Publisher: Cambridge University Press

Published: 1996-01-11

Total Pages: 359

ISBN-13: 0521557364

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The fundamental ideas concerning computation and recursion naturally find their place at the interface between logic and theoretical computer science. The contributions in this book, by leaders in the field, provide a picture of current ideas and methods in the ongoing investigations into the pure mathematical foundations of computability theory. The topics range over computable functions, enumerable sets, degree structures, complexity, subrecursiveness, domains and inductive inference. A number of the articles contain introductory and background material which it is hoped will make this volume an invaluable resource.