Geometry Books
Cambridge University Press Elementary Geometry of Differentiable Curves
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£42.74
Cambridge University Press An Introduction to Homotopy Theory
Book SynopsisSince the introduction of homotopy groups by Hurewicz in 1935, homotopy theory has occupied a prominent place in the development of algebraic topology. This monograph provides an account of the subject which bridges the gap between the fundamental concepts of topology and the more complex treatment to be found in original papers.Table of Contents1. Introduction; 2. The homotopy groups; 3. The classical theorems of homotopy theory; 4. The exact homotopy sequence; 5. Fibre-Spaces; 6. The Hopf invariant and suspension theorems; 7. Whitehead cell-complexes; 8. Homotopy groups of complexes.
£36.09
Cambridge University Press EOM 76 Geometry Sporadic Groups v1 Volume 1 Petersen and Tilde Geometries Encyclopedia of Mathematics and its Applications Series Number 76
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£60.89
Cambridge University Press Infinite Electrical Networks Cambridge Tracts in Mathematics Series Number 101
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£41.79
Cambridge University Press LMS 4 Algebraic Topology A Students Guide London Mathematical Society Lecture Note Series Series Number 4
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£84.07
Cambridge University Press Topological Riesz Spaces and Measure Theory
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£35.14
Cambridge University Press Generalized Hypergeometric Functions
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Cambridge University Press Generalized Clifford Parallelism 61 Cambridge Tracts in Mathematics Series Number 61
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£36.87
Cambridge University Press Complex Analysis and Algebraic Geometry
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£39.89
Cambridge University Press Homology Theory
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£54.14
Cambridge University Press Normal Topological Spaces 65 Cambridge Tracts in Mathematics Series Number 65
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£39.89
Cambridge University Press Equivalence Invariants and Symmetry
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£54.14
Cambridge University Press Complex Polynomials 75 Cambridge Studies in Advanced Mathematics Series Number 75
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£66.68
Cambridge University Press An Algebraic Introduction to KTheory 87 Encyclopedia of Mathematics and its Applications Series Number 87
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£62.54
Cambridge University Press The Theory of Finite Linear Spaces Combinatorics of Points and Lines
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£39.89
Cambridge University Press Visual Motion of Curves and Surfaces
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£40.84
Cambridge University Press A Mathematical Tapestry Demonstrating the Beautiful Unity of Mathematics
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£26.59
Cambridge University Press Geometric Analysis of Hyperbolic Differential Equations An Introduction 374 London Mathematical Society Lecture Note Series Series Number 374
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£51.78
Cambridge University Press HOW TO FOLD IT The Mathematics of linkages Origami and Polyhedra
Book SynopsisWhat do proteins and pop-up cards have in common? How is opening a grocery bag different from opening a gift box? How can you cut out the letters for a whole word all at once with one straight scissors cut? How many ways are there to flatten a cube? With the help of 200 colour figures, author Joseph O'Rourke explains these fascinating folding problems starting from high school algebra and geometry and introducing more advanced concepts in tangible contexts as they arise. He shows how variations on these basic problems lead directly to the frontiers of current mathematical research and offers ten accessible unsolved problems for the enterprising reader. Before tackling these, you can test your skills on fifty exercises with complete solutions. The book's website, http://www.howtofoldit.org, has dynamic animations of many of the foldings and downloadable templates for readers to fold or cut out.Trade Review'The major theorems presented are remarkable - results that may surprise the reader include the fact that, with the right folds, any shape or collection of shapes (even ones with holes in) … composed of straight lines may be cut out from a sheet of paper with just a single cut.' London Mathematical Society Newsletter'In this beautiful and inspiring book with many colour figures the reader can find a fascinating mathematical approach to linkages, foldings and unfoldings. Many exercises with detailed solutions give the reader the chance to control the acquired skills.' Hansueli Hosli, Zentralblatt MATH'… a great book for someone who wants to learn about the mathematics behind origami without being overwhelmed by the mathematics itself. This is a great book for a high school or undergraduate student to get introduced to the open problems in computational origami.' Brittany Terese Fasy and David L. Millman, SIGACT NewsTable of ContentsPart I. Linkages: 1. Robot arms; 2. Straight-line linkages and the pantograph; 3. Protein folding and pop-up cards; Part II. Origami: 4. Flat vertex folds; 5. Fold and one-cut; 6. The shopping bag theorem; Part III. Polyhedra: 7. Durer's problem: edge unfolding; 8. Unfolding orthogonal polyhedra; 9. Folding polygons to convex polyhedra; 10. Further reading; 11. Glossary; 12. Answers to exercises; 13. Permissions and acknowledgments.
£34.00
Cambridge University Press Convex Geometric Analysis 34 Mathematical Sciences Research Institute Publications Series Number 34
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£35.14
Cambridge University Press Geometry and Interpolation of Curves and Surfaces
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£45.59
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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£55.09
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