Author: Mansfield, Elizabeth Louise Publisher: Cambridge University Press Format: Adobe PDF
Description: This book explains recent results in the theory of moving frames that concern the symbolic manipulation of invariants of Lie group actions. In particular, theorems concerning the calculation of genera...
Author: Neisendorfer, Joseph Publisher: Cambridge University Press Format: Adobe PDF
Description: The most modern and thorough treatment of unstable homotopy theory available. The focus is on those methods from algebraic topology which are needed in the presentation of results, proven by Cohen, Mo...
Author: Zong, Chuanming Publisher: Cambridge University Press Format: Adobe PDF
Description: This tract has two purposes: to show what is known about the n-dimensional unit cubes and to demonstrate how Analysis, Algebra, Combinatorics, Graph Theory, Hyperbolic Geometry, Number Theory, can be ...
Author: Grandis, Marco Publisher: Cambridge University Press Format: Adobe PDF
Description: This is the first authored book to be dedicated to the new field of directed algebraic topology that arose in the 1990s, in homotopy theory and in the theory of concurrent processes. Its general aim c...
Author: Bar, Christian Publisher: Cambridge University Press Format: Adobe PDF
Description: The link between the physical world and its visualization is geometry. This easy-to-read, generously illustrated textbook presents an elementary introduction to differential geometry with emphasis on ...
Description: This book is designed for the reader who wants to get a general view of the terminology of General Topology with minimal time and effort. The reader, whom we assume to have only a rudimentary knowledg...
Author: N/A Publisher: Cambridge University Press Format: Adobe PDF
Description: Presents reissued articles from two classic sources on hyperbolic manifolds. Part I is an exposition of Chapters 8 and 9 of Thurston's pioneering Princeton Notes; there is a new introduction describin...
Author: Brannan, David A. / Esplen, Matthew F. / Gray, Jeremy J. Publisher: Cambridge University Press Format: Adobe PDF
Description: This richly illustrated and clearly written undergraduate textbook captures the excitement and beauty of geometry. The approach is that of Klein in his Erlangen programme: a geometry is a space togeth...
Author: Moore, Calvin C. / Schochet, Claude L. Publisher: Cambridge University Press Format: Adobe PDF
Description: Foliated spaces look locally like products, but their global structure is generally not a product, and tangential differential operators are correspondingly more complex. In the 1980s, Alain Connes f...
Author: Giblin, Peter Publisher: Cambridge University Press Format: Adobe PDF
Description: Homology theory is a powerful algebraic tool that is at the centre of current research in topology and its applications. This accessible textbook will appeal to mathematics students interested in the ...
Author: Girondo, Ernesto / Gonz·lez-Diez , Gabino Publisher: Cambridge University Press Format: Adobe PDF
Description: Few books on the subject of Riemann surfaces cover the relatively modern theory of dessins d'enfants (children's drawings), which was launched by Grothendieck in the 1980s and is now an active field o...
Author: Brin, Michael / Stuck, Garrett Publisher: Cambridge University Press Format: Adobe PDF
Description: This book provides a broad introduction to the subject of dynamical systems, suitable for a one- or two-semester graduate course. In the first chapter, the authors introduce over a dozen examples, and...
Author: Bloch, Spencer Publisher: Cambridge University Press Format: Adobe PDF
Description: Spencer Bloch's 1979 Duke lectures, a milestone in modern mathematics, have been out of print almost since their first publication in 1980, yet they have remained influential and are still the best pl...
Author: Piccinini, R.A. Publisher: Elsevier S&T Format: Adobe PDF
Description: The central idea of the lecture course which gave birth to this book was to define the homotopy groups of a space and then give all the machinery needed to prove in detail that the nth homotopy group ...
Author: Nagata, J.-I. Publisher: Elsevier S&T Format: Adobe PDF
Description: This classic work has been fundamentally revised to take account of recent developments in general topology. The first three chapters remain unchanged except for numerous minor corrections and additio...
Author: N/A Publisher: Cambridge University Press Format: Adobe PDF
Description: Vector bundles and their associated moduli spaces are of fundamental importance in algebraic geometry. In recent decades this subject has been greatly enhanced by its relationships with other areas of...
Author: Adem,Alejandro / Leida,Johann / Ruan,Yongbin Publisher: Cambridge University Press Format: Adobe PDF
Description: An introduction to the theory of orbifolds from a modern perspective, combining techniques from geometry, algebraic topology and algebraic geometry. One of the main motivations, and a major source of ...
Author: Marden,A. Publisher: Cambridge University Press Format: Adobe PDF
Description: We live in a three-dimensional space; what sort of space is it? Can we build it from simple geometric objects? The answers to such questions have been found in the last 30 years, and Outer Circles des...
Author: N/A Publisher: Cambridge University Press Format: Adobe PDF
Description: The biennial meetings at S„o Carlos have helped create a worldwide community of experts and young researchers working on singularity theory, with a special focus on applications to a wide variety of...
Author: Chavel, Isaac Publisher: Cambridge University Press Format: Adobe PDF
Description: This book provides an introduction to Riemannian geometry, the geometry of curved spaces, for use in a graduate course. Requiring only an understanding of differentiable manifolds, the author covers t...
Author: Cooper, J.B. Publisher: Elsevier S&T Format: Adobe PDF
Description: The first edition of this monograph appeared in 1978. In view of the progress made in the intervening years, the original text has been revised, several new sections have been added and the list of re...
Author: Ash, Avner / Mumford, David / Rapoport, Michael Publisher: Cambridge University Press Format: Adobe PDF
Description: The new edition of this celebrated and long-unavailable book preserves the original book's content and structure and its unrivalled presentation of a universal method for the resolution of a class of...
Author: N/A Publisher: Cambridge University Press Format: Adobe PDF
Description: The subject of Kleinian groups and hyperbolic 3-manifolds is currently undergoing explosively fast development, the last few years having seen the resolution of many longstanding conjectures. This vol...
Author: Huybrechts, Daniel Publisher: Cambridge University Press Format: Adobe PDF
Description: Now back in print, this highly regarded book has been updated to reflect recent advances in the theory of semistable coherent sheaves and their moduli spaces, which include moduli spaces in positive c...
Author: van Mill, J. Publisher: Elsevier S&T Format: Adobe PDF
Description: In this book we study function spaces of low Borel complexity.Techniques from general topology, infinite-dimensional topology, functional analysis and descriptive set theoryare primarily used for the ...
Author: Moran, S. Publisher: Elsevier S&T Format: Adobe PDF
Description: This book is an introduction to the theory of knots via the theory of braids, which attempts to be complete in a number of ways. Some knowledge of Topology is assumed. Necessary Group Theory and furth...
Author: van de Vel, M.L.J. Publisher: Elsevier S&T Format: Adobe PDF
Description: Presented in this monograph is the current state-of-the-art in the theory of convex structures. The notion of convexity covered here is considerably broader than the classic one; specifically, it is n...
Author: Morita Publisher: Elsevier S&T Format: Adobe PDF
Description: Being an advanced account of certain aspects of general topology, the primary purpose of this volume is to provide the reader with an overview of recent developments.The papers cover basic fields such...
Author: Warner, S. Publisher: Elsevier S&T Format: Adobe PDF
Description: This text brings the reader to the frontiers of current research in topological rings. The exercises illustrate many results and theorems while a comprehensive bibliography is also included.The book i...
Author: Zomorodian, Afra J. Publisher: Cambridge University Press Format: Adobe PDF
Description: The emerging field of computational topology utilizes theory from topology and the power of computing to solve problems in diverse fields. Recent applications include computer graphics, computer-aided...
Author: Alpern, S. R. / Prasad, V. S. Publisher: Cambridge University Press Format: Adobe PDF
Description: This book provides a self-contained introduction to typical properties of volume preserving homeomorphisms, examples of which include transitivity, chaos and ergodicity. A key notion is the interrelat...
Author: Iliadis, S.D. Publisher: Elsevier S&T Format: Adobe PDF
Description: The book is devoted to universality problems. A new approach to these problems is given using some specific spaces. Since the construction of these specific spaces is set-theoretical, the given theory...
Author: Farb, Benson / Margalit, Dan Publisher: Princeton University Press Format: Adobe ePUB
Description: The study of the mapping class group Mod(S) is a classical topic that is experiencing a renaissance. It lies at the juncture of geometry, topology, and group theory. This book explains as many importa...
Author: Downarowicz, Tomasz Publisher: Cambridge University Press Format: Adobe PDF
Description: This comprehensive text on entropy covers three major types of dynamics: measure preserving transformations; continuous maps on compact spaces; and operators on function spaces. Part I contains proofs...
Author: Lurie, Jacob Publisher: Princeton University Press Format: Adobe PDF
Description: Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphi...
Author: Jayne, John E. / Rogers, C. Ambrose Publisher: Princeton University Press Format: Adobe PDF
Description: Though the search for good selectors dates back to the early twentieth century, selectors play an increasingly important role in current research. This book is the first to assemble the scattered lite...
Author: Frankel, Theodore Publisher: Cambridge University Press Format: Adobe PDF
Description: This book provides a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are es...
Author: N/A Publisher: Cambridge University Press Format: Adobe PDF
Description: The theory of transformation groups studies symmetries of various mathematical objects such as topological spaces, manifolds, polyhedra and function spaces. It is thus a central concept in many branch...
Author: N/A Publisher: Cambridge University Press Format: Adobe PDF
Description: The field of geometric variational problems is fast-moving and influential. These problems interact with many other areas of mathematics and have strong relevance to the study of integrable systems, m...
