Dense Sphere Packings
Dense Sphere Packings

Author: Thomas Callister Hales

Publisher: Cambridge University Press

Published: 2012-09-06

Total Pages: 286

ISBN-13: 0521617707

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The definitive account of the recent computer solution of the oldest problem in discrete geometry.

Algebraic Topology
Algebraic Topology

Author: J. F. Adams

Publisher: Cambridge University Press

Published: 1972-04-27

Total Pages: 309

ISBN-13: 0521080762

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This set of notes, for graduate students who are specializing in algebraic topology, adopts a novel approach to the teaching of the subject. It begins with a survey of the most beneficial areas for study, with recommendations regarding the best written accounts of each topic. Because a number of the sources are rather inaccessible to students, the second part of the book comprises a collection of some of these classic expositions, from journals, lecture notes, theses and conference proceedings. They are connected by short explanatory passages written by Professor Adams, whose own contributions to this branch of mathematics are represented in the reprinted articles.

Differential Geometry in the Large
Differential Geometry in the Large

Author: Owen Dearricott

Publisher: Cambridge University Press

Published: 2020-10-22

Total Pages: 401

ISBN-13: 1108812813

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From Ricci flow to GIT, physics to curvature bounds, Sasaki geometry to almost formality. This is differential geometry at large.

Set Theory for the Working Mathematician
Set Theory for the Working Mathematician

Author: Krzysztof Ciesielski

Publisher: Cambridge University Press

Published: 1997-08-28

Total Pages: 256

ISBN-13: 9780521594653

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Presents those methods of modern set theory most applicable to other areas of pure mathematics.

Topology, Geometry and Quantum Field Theory
Topology, Geometry and Quantum Field Theory

Author: Ulrike Luise Tillmann

Publisher: Cambridge University Press

Published: 2004-06-28

Total Pages: 596

ISBN-13: 9780521540490

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The symposium held in honour of the 60th birthday of Graeme Segal brought together leading physicists and mathematicians. Its topics were centred around string theory, M-theory, and quantum gravity on the one hand, and K-theory, elliptic cohomology, quantum cohomology and string topology on the other. Geometry and quantum physics developed in parallel since the recognition of the central role of non-abelian gauge theory in elementary particle physics in the late seventies and the emerging study of super-symmetry and string theory. With its selection of survey and research articles these proceedings fulfil the dual role of reporting on developments in the field and defining directions for future research. For the first time Graeme Segal's manuscript 'The definition of Conformal Field Theory' is published, which has been greatly influential over more than ten years. An introduction by the author puts it into the present context.