Geometry Books
Cambridge University Press Galois Groups and Fundamental Groups 41 Mathematical Sciences Research Institute Publications Series Number 41
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£51.29
Cambridge University Press Probability Geometry and Integrable Systems 55 Mathematical Sciences Research Institute Publications Series Number 55
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£39.89
Cambridge University Press Dynamics Ergodic Theory and Geometry 54 Mathematical Sciences Research Institute Publications Series Number 54
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£45.59
Cambridge University Press Combinatorial and Computational Geometry 52 Mathematical Sciences Research Institute Publications Series Number 52
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£49.39
Cambridge University Press 78 Finite Groups and Finite Geometries Cambridge Tracts in Mathematics Series Number 78
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£47.49
Cambridge University Press Monopoles and ThreeManifolds
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£67.51
Cambridge University Press LMS 11 New Developments in Toplogy London Mathematical Society Lecture Note Series Series Number 11
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£47.63
Cambridge University Press Differentiable Germs and Catastrophes 17 London Mathematical Society Lecture Note Series Series Number 17
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Cambridge University Press LMS 18 Geometric Homolgy Theory London Mathematical Society Lecture Note Series Series Number 18
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Cambridge University Press LMS 24 Stiefel Manifolds London Mathematical Society Lecture Note Series Series Number 24
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£55.09
Cambridge University Press Affine Sets and Affine Groups 39 London Mathematical Society Lecture Note Series Series Number 39
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£45.16
Cambridge University Press LMS 95 Low Dimensional Topology London Mathematical Society Lecture Note Series Series Number 95
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£61.71
Cambridge University Press Homogeneous Structures on Riemannia 83 London Mathematical Society Lecture Note Series Series Number 83
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£47.63
Cambridge University Press LMS 90 Polytopes and Symmetry London Mathematical Society Lecture Note Series Series Number 90
Book SynopsisConvex polytopes are the analogues in space of any dimension of convex plane polygons and of convex polyhedra in ordinary space. This book describes a fresh approach to the classification of these objects according to their symmetry properties, based on ideas of topology and transformation group theory. Although there is considerable agreement with traditional treatments, a number of new concepts emerge that present classical ideas in a quite new way. For example, the family of regular convex polytopes is extended to the family of 'perfect polytopes'. Thus the familiar set of five Platonic polyhedra is replaced by the less familiar set of nine perfect polyhedra. Among the many unsolved problems that arise, that of finding all perfect polytopes, and more generally all perfect convex bodies, is perhaps the most attractive. This book will be of value to specialists and graduate students in pure mathematics, especially those studying symmetry theory, convex bodies, and polytopes.Table of ContentsPreface; Synopsis; 1. The space of polytopes; 2. Combinatorial structure; 3. Symmetry equivalence; 4. Products and sums; 5. Polygons; 6. Polyhedra; Concluding remarks; Bibliography; Index of symbols; Index of names; General index.
£45.16
Cambridge University Press LMS 44 Homotopy Theory London Mathematical Society Lecture Note Series Series Number 44
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£47.63
Cambridge University Press LMS 48 Low Dimensional Topology London Mathematical Society Lecture Note Series Series Number 48
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Cambridge University Press Variational Problems in Differential Geometry 394 London Mathematical Society Lecture Note Series Series Number 394
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£50.95
Cambridge University Press Introduction to Differential Topology
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£40.84
Cambridge University Press Topological Geometry
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£75.99
Cambridge University Press Surfaces
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£39.89
Cambridge University Press Syzygies 106 London Mathematical Society Lecture Note Series Series Number 106
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£48.47
Cambridge University Press Geometry and Interpolation of Curves and Surfaces
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£118.75
Cambridge University Press The Theory of Finite Linear Spaces
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£104.50
Cambridge University Press Stone Spaces 3 Cambridge Studies in Advanced Mathematics Series Number 3
Book SynopsisOver the last 45 years, Boolean theorem has been generalized and extended in several different directions and its applications have reached into almost every area of modern mathematics; but since it lies on the frontiers of algebra, geometry, general topology and functional analysis, the corpus of mathematics which has arisen in this way is seldom seen as a whole. In order to give a unified treatment of this rather diverse body of material, Dr Johnstone begins by developing the theory of locales (a lattice-theoretic approach to 'general topology without points' which has achieved some notable results in the past ten years but which has not previously been treated in book form). This development culminates in the proof of Stone's Representation Theorem.Table of ContentsPreface; Advice to the reader; Introduction; 1. Preliminaries; 2. Introduction to locales; 3. Compact Hausdorff spaces; 4. Continuous real-valued functions; 5. Representations of rings; 6. Profiniteness and duality; 7. Continuous lattices; Bibliography; Index of categories; Index of other symbols; Index of definitions.
£43.69
Cambridge University Press LMS 124 Lie Groupoids Algebroids London Mathematical Society Lecture Note Series Series Number 124
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£79.93
Cambridge University Press The Geometry and Physics of Knots Lezioni Lincee
Book SynopsisThese notes arise from lectures presented in Florence under the auspices of the Accadamia dei Lincee and deal with an area that lies at the crossroads of mathematics and physics. The material presented here rests primarily on the pioneering work of Vaughan Jones and Edward Witten relating polynomial invariants of knots to a topological quantum field theory in 2+1 dimensions. Professor Atiyah here presents an introduction to Witten's ideas from the mathematical point of view. The book will be essential reading for all geometers and gauge theorists as an exposition of new and interesting ideas in a rapidly developing area.Trade Review"The exposition is admirably lucid and elegant and I cannot imagine a better introduction, for graduate students and the more experienced, for mathematicians and physicists, to the large amount of high-powered mathematics required...As a source of insight this book is marvellous." Nature"For those with some of the background...Atiyah's book is a marvelous appetizer, an invitation to delve more deeply. For the interested scientist who is not directly involved, there is still the pleasure of the safari in the hands of an excellent guide." American Scientist"...provides an invaluable commentary for mathematicians to Witten's important paper 'Quantum field theory and the Jones polynomial'...." Steven Rosenberg, Mathematical Reviews"The exposition is taut and the writing simple, elegant, and to the point. It is in fact a tour de force of single-minded and jargon-free exposition....we are dealing here more with poetry and inspirational writing than with the prose of everyday mathematics, and in this spirit, it is a pleasure to recommend this little volume to one and all." Raoul Bott, Bulletin of the American Mathematical SocietyTable of ContentsPreface; 1. History and background; 2. Topological quantum field theories; 3. Non-abelian moduli spaces; 4. Symplectic quotients; 5. The infinite-dimensional case; 6. Projective flatness; 7. The Feynman integral formulation; 8. Final comments; Bibliography; Index.
£29.44
Cambridge University Press Kummers Quartic Surface Cambridge Mathematical Library
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£47.49
Cambridge University Press Infinite Electrical Networks
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£99.90
Cambridge University Press Geometry of Sporadic Groups Volume 1 Petersen and Tilde Geometries Encyclopedia of Mathematics and its Applications Series Number 76
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£122.55
Cambridge University Press LMS 164 QuasiSymmetric Designs London Mathematical Society Lecture Note Series Series Number 164
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£47.63
Cambridge University Press Algebraic Ltheory and Topological Manifolds 102 Cambridge Tracts in Mathematics Series Number 102
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£122.55
Cambridge University Press LMS 170 Manifolds Singularities London Mathematical Society Lecture Note Series Series Number 170
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£47.63
Cambridge University Press Hyperbolic Geometry 25 London Mathematical Society Student Texts Series Number 25
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£42.74
Cambridge University Press Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds 180 London Mathematical Society Lecture Note Series Series Number 180
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£50.95
Cambridge University Press DissectionsISBN9780521525824
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£37.04
Cambridge University Press The Homotopy Category of Simply Connected 4Manifolds 297 London Mathematical Society Lecture Note Series Series Number 297
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£50.99
Cambridge University Press Higher Operads Higher Categories 298 London
Book SynopsisHigher-dimensional category theory draws its inspiration from areas as diverse as topology, quantum algebra, mathematical physics, logic, and theoretical computer science. This is the first book on the subject and lays its foundations, appealing to graduate students and researchers who wish to become acquainted with this modern branch of mathematics.Table of ContentsPart I. Background: 1. Classical categorical structures; 2. Classical operads and multicategories; 3. Notions of monoidal category; Part II. Operads. 4. Generalized operads and multicategories: basics; 5. Example: fc-multicategories; 6. Generalized operads and multicategories: further theory; 7. Opetopes; Part III. n-categories: 8. Globular operads; 9. A definition of weak n-category; 10. Other definitions of weak n-category; Appendices: A. Symmetric structures; B. Coherence for monoidal categories; C. Special Cartesian monads; D. Free multicategories; E. Definitions of trees; F. Free strict n-categories; G. Initial operad-with-contraction.
£88.21
Cambridge University Press Topology Geometry and Quantum Field Theory Proceedings of the 2002 Oxford Symposium in Honour of the 60th Birthday of Graeme Segal 308 London Lecture Note Series Series Number 308
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£105.60
Cambridge University Press Knots and Links
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£51.29
Cambridge University Press A Users Guide to Spectral Sequences 58 Cambridge Studies in Advanced Mathematics Series Number 58
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£111.15
Cambridge University Press Elliptic Curves
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Cambridge University Press Combinatorics of Finite Geometries
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£105.45
Cambridge University Press LMS 245 Geom Combinatorial Design London Mathematical Society Lecture Note Series Series Number 245
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£61.71
Cambridge University Press Combinatorics Geometry and Probability
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Cambridge University Press Dense Sphere Packings A Blueprint for Formal Proofs 400 London Mathematical Society Lecture Note Series Series Number 400
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£50.12
Cambridge University Press Spaces of Kleinian Groups 329 London Mathematical Society Lecture Note Series Series Number 329
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£79.10
Cambridge University Press Geometry of Sporadic Groups Volume 2 Representations and Amalgams
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£125.40
Cambridge University Press Flavors of Geometry
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£37.99