Geometry Books
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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£100.70
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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£49.39
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
Cambridge University Press Convex Geometric Analysis 34 Mathematical Sciences Research Institute Publications Series Number 34
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£105.45
Cambridge University Press Computational Geometry in C Second Edition
Book SynopsisThis is the revised and expanded 1998 edition of a popular introduction to the design and implementation of geometry algorithms arising in areas such as computer graphics, robotics, and engineering design. The basic techniques used in computational geometry are all covered: polygon triangulations, convex hulls, Voronoi diagrams, arrangements, geometric searching, and motion planning. The self-contained treatment presumes only an elementary knowledge of mathematics, but reaches topics on the frontier of current research, making it a useful reference for practitioners at all levels. The second edition contains material on several new topics, such as randomized algorithms for polygon triangulation, planar point location, 3D convex hull construction, intersection algorithms for ray-segment and ray-triangle, and point-in-polyhedron. The code in this edition is significantly improved from the first edition (more efficient and more robust), and four new routines are included. Java versions foTrade Review'… the author does an excellent job of explaining difficult concepts in an accessible, even entertaining, manner … If this is your field, this is your book!' Developers Review'The balanced combination of careful descriptions, examples, algorithms and exercises makes it a pleasure to read …'. Zentralblatt'Anyone who wants to know what this field is all about should read this book! The book is a pleasure to read, as questions that arise naturally in the reader's mind are answered, in almost all cases, in the following paragraph. The style strikes an ideal balance between rigor and informality. Mr O'Rourke must be a wonderful teacher and I envy his students.' Miriam L. Lucian, Society for Industrial and Applied MathematicsTable of Contents1. Polygon triangulation; 2. Polygon partitioning; 3. Convex hulls in two dimensions; 4. Convex hulls in three dimensions; 5. Voronoi diagrams; 6. Arrangements; 7. Search and intersection; 8. Motion planning; 9. Sources.
£45.59
Cambridge University Press Elliptic Curves in Cryptography 265 London Mathematical Society Lecture Note Series Series Number 265
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£62.69
Cambridge University Press Elliptic Curves Function Theory Geometry Arithmetic
Book SynopsisThe subject of elliptic curves is one of the jewels of nineteenth-century mathematics, originated by Abel, Gauss, Jacobi, and Legendre. This 1997 book presents an introductory account of the subject in the style of the original discoverers, with references to and comments about more recent and modern developments. It combines three of the fundamental themes of mathematics: complex function theory, geometry, and arithmetic. After an informal preparatory chapter, the book follows an historical path, beginning with the work of Abel and Gauss on elliptic integrals and elliptic functions. This is followed by chapters on theta functions, modular groups and modular functions, the quintic, the imaginary quadratic field, and on elliptic curves. Requiring only a first acquaintance with complex function theory, this book is an ideal introduction to the subject for graduate students and researchers in mathematics and physics, with many exercises with hints scattered throughout the text.Trade Review'The book is a welcome extension of the existing literature about this important topic … It is recommended to students of mathematics and physics interested in the applications of the theory and the theory itself.' European Mathematical Society'With an easy mind the reviewer can recommend this book to those who want to become acquainted with the subject and to those who look for a book which can serve as guide for a course on the subject … the exemplary way in which Elliptic Curves is written, made reviewing a pleasure.' Niew Archief voor WiskundeTable of Contents1. First ideas: complex manifolds, Riemann surfaces, and projective curves; 2. Elliptic functions and elliptic integrals; 3. Theta functions; 4. Modular groups and molecular functions; 5. Ikosaeder and the quintic; 6. Imaginary quadratic fields; 7. The arithmetic of elliptic fields.
£50.34
Cambridge University Press Ergodic Theory and Topological Dynamics of Group Actions on Homogeneous Spaces 269 London Mathematical Society Lecture Note Series Series Number 269
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£65.99
Cambridge University Press Polyhedra
Book SynopsisPolyhedra have cropped up in many different guises throughout recorded history. In modern times, polyhedra and their symmetries have been cast in a new light by combinatorics and group theory. This book comprehensively documents the many and varied ways that polyhedra have come to the fore throughout the development of mathematics. The author strikes a balance between covering the historical development of the theory surrounding polyhedra, and presenting a rigorous treatment of the mathematics involved. It is attractively illustrated with dozens of diagrams to illustrate ideas that might otherwise prove difficult to grasp. Historians of mathematics as well as those more interested in the mathematics itself, will find this unique book fascinating.Trade Review'The topic itself … is easily visualised and it has a long history as part of our culture, interacting with philosophy, art and chemistry. Cromwell's treatment admirably exploits all these opportunities, with many interesting digressions and a lively historical commentary … popular exposition at a high level.' Sir Michael Atiyah, The Times Higher Education Supplement'… plenty to fascinate.' New Scientist'… Peter Cromwell has done us a great service by writing this handsome, scholarly and beautifully illustrated book.' Peter Giblin, The London Mathematical Society Newsletter'This remarkable book goes far beyond the superficial, providing a solid and fascinating account of the history and mathematics of polyhedra, especially regular polyhedra. It is likely to become the classic book on the topic.' MAA Online' … a fascinating book … the book holds many surprises and will find rich use among students of both mathematics and computer science.' Choice' … a well got-up book with an abundant and beautiful material of illustration. The study of polyhedra, as the author explicitly states, 'is currently enjoying something of a renaissance'. This work itself will surely help this renaissance, and may be an enjoyable reading for a very wide audience.' Acta. Sci. Math.' … the book should have a wide and appreciative audience of all ages.' The Times Higher Education Supplement' … this book contains a thorough treatment of all that is known about polyhedra … A very interesting and detailed account.' European Mathematical Society' … well-illustrated throughout with line diagrams, as well as several colour plates of the author's own superb models. The writing is clear and entertaining, and reassuringly anticipates many of the reader's questions.' Thomas Bending, The Mathematical GazetteTable of ContentsIntroduction; 1. Indivisible, inexpressible and unavoidable; 2. Rules and regularity; 3. Decline and rebirth of polyhedral geometry; 4. Fantasy, harmony and uniformity; 5. Surfaces, solids and spheres; 6. Equality, rigidity and flexibility; 7. Stars, stellations, and skeletons; 8. Symmetry, shape and structure; 9. Counting, colouring and computing; 10. Combination, transformation and decoration; Appendices.
£53.19
Cambridge University Press Methods in Banach Space Theory Proceedings of the V Conference on Banach Spaces Caceres Spain 1318 September 2004 337 London Mathematical Society Lecture Note Series Series Number 337
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£61.71
Cambridge University Press Elliptic Cohomology Geometry Applications and Higher Chromatic Analogues 342 London Mathematical Society Lecture Note Series Series Number 342
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£61.71
Cambridge University Press Algebraic Cycles and Motives 344 London
Book SynopsisThese two volumes provide a self-contained account of research on algebraic cycles and motives. Twenty-two contributions from leading figures survey the key research strands, including: Abel-Jacobi/regulator maps and normal functions; Voevodsky's triangulated category of mixed motives; conjectures of Bloch-Beilinson and Murre on filtrations on Chow groups.Table of ContentsPart II. Research Articles: 8. Beilinson's Hodge conjecture with coefficients M. Asakura and S. Saito; 9. On the splitting of the Bloch-Beilinson filtration A. Beauville; 10. Künneth projectors S. Bloch and H. Esnault; 11. The Brill-Noether curve of a stable bundle on a genus two curve S. Brivio and A. Verra; 12. On Tannaka duality for vector bundles on p-adic curves C. Deninger and A. Werner; 13. On finite-dimensional motives and Murre's conjecture U. Jannsen; 14. On the transcendental part of the motive of a surface B. Kahn, J. P. Murre and C. Pedrini; 15. A note on finite dimensional motives S. I. Kimura; 16. Real regulators on Milnor complexes, II J. D. Lewis; 17. Motives for Picard modular surfaces A. Miller, S. Müller-Stach, S. Wortmann, Y.-H.Yang, K. Zuo; 18. The regulator map for complete intersections J. Nagel; 19. Hodge number polynomials for nearby and vanishing cohomology C. Peters and J. Steenbrink; 20. Direct image of logarithmic complexes M. Saito; 21. Mordell-Weil lattices of certain elliptic K3's T. Shioda; 22. Motives from diffraction J. Stienstra.
£61.71
Cambridge University Press Geometric Folding Algorithms Linkages Origami Polyhedra
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£53.43
Cambridge University Press Groups Graphs and Trees An Introduction to the Geometry of Infinite Groups London Mathematical Society Student Texts Series Number 73
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£37.99
Cambridge University Press Zariski Geometries Geometry from the Logicians Point of View 360 London Mathematical Society Lecture Note Series Series Number 360
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£59.22
Cambridge University Press Smooth Compactifications of Locally Symmetric Varieties
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£53.19
Cambridge University Press Soliton Equations and their AlgebroGeometric Solutions Volume 1 11Dimensional Continuous Models Cambridge Studies in Advanced Mathematics Series Number 79
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£133.95
Cambridge University Press Geometric and Cohomological Methods in Group Theory
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£53.99
Cambridge University Press How to Fold It The Mathematics of Linkages Origami and Polyhedra
Book SynopsisDiscover and understand mathematical theorems through paper folding, starting with high school algebra and geometry through to more advanced concepts.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.
£100.70
Cambridge University Press LMS 276 Singularities Plane Curves London Mathematical Society Lecture Note Series Series Number 276
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£69.99
Cambridge University Press Derivation and Integration 140 Cambridge Tracts in Mathematics Series Number 140
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£105.45
Cambridge University Press Characters and Automorphism Groups of Compact Riemann Surfaces 280 London Mathematical Society Lecture Note Series Series Number 280
Book SynopsisUsing modern methods from computational group theory and representation theory, this book addresses a classical topic in the theory of complex functions. It is suitable for graduate students and researchers.Trade Review'… by bringing together a number of very effective techniques, and by presenting a mass of specific evidence, Breuer has done the mathematical community a considerable service … the presentation of the material is excellent, with attractive layout … a valuable addition to the literature, which should be essential reading for anyone interested in the connections between Riemann surfaces and finite groups.' G. Jones, Proceedings of the Edinburgh Mathematical SocietyTable of ContentsPreface; Notation; 1. Compact Riemann surfaces; 2. Group characters; 3. Automorphisms of compact Riemann surfaces; 4. Generation of groups; 5. Classification for small genus; 6. Classification for fixed group: real characters; 7. Classification for fixed group: nonreal irrationalities; Appendix A. Abelian inariants; Appendix B. Irreducible characters; Appendix C. Maillet's determinant; Bibliography; Index.
£57.57
Cambridge University Press An Algebraic Introduction to KTheory 87 Encyclopedia of Mathematics and its Applications Series Number 87
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£152.95
Cambridge University Press Isoperimetric Inequalities Differential Geometric and Analytic Perspectives 145 Cambridge Tracts in Mathematics Series Number 145
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£105.45
Cambridge University Press Galois Groups and Fundamental Groups
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£133.95
Cambridge University Press Harmonic Maps Conservation Laws and Moving Frames 150 Cambridge Tracts in Mathematics Series Number 150
Book SynopsisThe author presents an accessible and self-contained introduction to harmonic map theory and its analytical aspects, covering recent developments in the regularity theory of weakly harmonic maps. The book begins by introducing these concepts, stressing the interplay between geometry, the role of symmetries and weak solutions. The reader is then presented with a guided tour into the theory of completely integrable systems for harmonic maps, followed by two chapters devoted to recent results on the regularity of weak solutions. A self-contained presentation of 'exotic' functional spaces from the theory of harmonic analysis is given and these tools are then used for proving regularity results. The importance of conservation laws is stressed and the concept of a 'Coulomb moving frame' is explained in detail. The book ends with further applications and illustrations of Coulomb moving frames to the theory of surfaces.Trade Review'The book is very well written and it contains truly beautiful geometrical analysis. It also contains a quick, direct introduction to the current research.' EMS NewsletterTable of ContentsPreface; Introduction; Acknowledgements; Notations; 1. Geometric and analytic setting; 2. Harmonic maps with symmetries; 3. Compensations and exotic function spaces; 4. Harmonic maps without symmetries; 5. Surfaces with mean curvature in L2; References.
£105.45
Cambridge University Press Hinged Dissections
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£108.30
Cambridge University Press Algebra and Geometry
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£90.24
Cambridge University Press 3D Computer Graphics
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£75.99
Cambridge University Press Computational Algebraic Geometry 58 London Mathematical Society Student Texts Series Number 58
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£94.99