Manifolds Ii

Author : Loring W. Tu
Publisher : Springer Science & Business Media
ISBN 13 : 1441974008
Total Pages : 426 pages
Book Rating : 4.06/5 ( download)

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Download or read book An Introduction to Manifolds written by Loring W. Tu and published by Springer Science & Business Media. This book was released on 2010-10-05 with total page 426 pages. Available in PDF, EPUB and Kindle. Book excerpt: Manifolds, the higher-dimensional analogs of smooth curves and surfaces, are fundamental objects in modern mathematics. Combining aspects of algebra, topology, and analysis, manifolds have also been applied to classical mechanics, general relativity, and quantum field theory. In this streamlined introduction to the subject, the theory of manifolds is presented with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book the reader should be able to compute, at least for simple spaces, one of the most basic topological invariants of a manifold, its de Rham cohomology. Along the way, the reader acquires the knowledge and skills necessary for further study of geometry and topology. The requisite point-set topology is included in an appendix of twenty pages; other appendices review facts from real analysis and linear algebra. Hints and solutions are provided to many of the exercises and problems. This work may be used as the text for a one-semester graduate or advanced undergraduate course, as well as by students engaged in self-study. Requiring only minimal undergraduate prerequisites, 'Introduction to Manifolds' is also an excellent foundation for Springer's GTM 82, 'Differential Forms in Algebraic Topology'.

Author : Y. Choquet-Bruhat
Publisher : Elsevier
ISBN 13 : 0080527159
Total Pages : 559 pages
Book Rating : 4.54/5 ( download)

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Download or read book Analysis, Manifolds and Physics, Part II - Revised and Enlarged Edition written by Y. Choquet-Bruhat and published by Elsevier. This book was released on 2000-11-08 with total page 559 pages. Available in PDF, EPUB and Kindle. Book excerpt: Twelve problems have been added to the first edition; four of them are supplements to problems in the first edition. The others deal with issues that have become important, since the first edition of Volume II, in recent developments of various areas of physics. All the problems have their foundations in volume 1 of the 2-Volume set Analysis, Manifolds and Physics. It would have been prohibitively expensive to insert the new problems at their respective places. They are grouped together at the end of this volume, their logical place is indicated by a number of parenthesis following the title.

Author : John M. Lee
Publisher : Springer Science & Business Media
ISBN 13 : 038722727X
Total Pages : 395 pages
Book Rating : 4.76/5 ( download)

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Download or read book Introduction to Topological Manifolds written by John M. Lee and published by Springer Science & Business Media. This book was released on 2006-04-06 with total page 395 pages. Available in PDF, EPUB and Kindle. Book excerpt: Manifolds play an important role in topology, geometry, complex analysis, algebra, and classical mechanics. Learning manifolds differs from most other introductory mathematics in that the subject matter is often completely unfamiliar. This introduction guides readers by explaining the roles manifolds play in diverse branches of mathematics and physics. The book begins with the basics of general topology and gently moves to manifolds, the fundamental group, and covering spaces.

Author : Paul Bracken
Publisher : BoD – Books on Demand
ISBN 13 : 1838803092
Total Pages : 148 pages
Book Rating : 4.94/5 ( download)

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Download or read book Manifolds II written by Paul Bracken and published by BoD – Books on Demand. This book was released on 2019-05-22 with total page 148 pages. Available in PDF, EPUB and Kindle. Book excerpt: Differential geometry is a very active field of research and has many applications to areas such as physics, in particular gravity. The chapters in this book cover a number of subjects that will be of interest to workers in these areas. It is hoped that these chapters will be able to provide a useful resource for researchers with regard to current fields of research in this important area.

Author :
Publisher :
ISBN 13 : 9814474770
Total Pages : pages
Book Rating : 4.71/5 ( download)

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Download or read book Lectures on the Geometry of Manifolds written by and published by . This book was released on with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : John M. Lee
Publisher : Springer Science & Business Media
ISBN 13 : 0387217525
Total Pages : 646 pages
Book Rating : 4.29/5 ( download)

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Download or read book Introduction to Smooth Manifolds written by John M. Lee and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: Author has written several excellent Springer books.; This book is a sequel to Introduction to Topological Manifolds; Careful and illuminating explanations, excellent diagrams and exemplary motivation; Includes short preliminary sections before each section explaining what is ahead and why

Author : Mike Field
Publisher : Cambridge University Press
ISBN 13 : 9780521288880
Total Pages : 224 pages
Book Rating : 4.86/5 ( download)

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Download or read book Several Complex Variables and Complex Manifolds written by Mike Field and published by Cambridge University Press. This book was released on 1982 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: Annotation This self-contained and relatively elementary introduction to functions of several complex variables and complex (especially compact) manifolds is intended to be a synthesis of those topics and a broad introduction to the field. Part I is suitable for advanced undergraduates and beginning postgraduates whilst Part II is written more for the graduate student. The work as a whole will be useful to professional mathematicians or mathematical physicists who wish to acquire a working knowledge of this area of mathematics. Many exercises have been included and indeed they form an integral part of the text. The prerequisites for understanding Part I would be met by any mathematics student with a first degree and together the two parts provide an introduction to the more advanced works in the subject.

Author : Pietro Fre'
Publisher : World Scientific
ISBN 13 : 9814501360
Total Pages : 484 pages
Book Rating : 4.61/5 ( download)

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Download or read book The N=2 Wonderland written by Pietro Fre' and published by World Scientific. This book was released on 1995-07-14 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents, in a unifying perspective, the topics related to N=2 supersymmetry in two dimensions. Beginning with the Kähler structure of D=4 supergravity Lagrangians, through the analysis of string compactifications on Calabi-Yau manifolds, one reaches the heart of the matter with the chiral ring structure of N=2 conformal field theories and its relation to topological field theory models and Landau–Ginzburg models. In addition, mirror symmetry, topological twists and Picard–Fuchs equations are discussed. Contents:An Introduction to the SubjectA Bit of Geometry and TopologySupergravity and Kähler GeometryCompactifications on Calabi–Yau ManifoldsN=2 Field Theories in Two DimensionsModuli Spaces and Special GeometryTopological Field TheoriesPicard–Fuchs Equations and Mirror Maps Readership: High-energy and mathematical physicists. keywords:

Author : N. H. Kuiper
Publisher : Springer
ISBN 13 : 3540366539
Total Pages : 240 pages
Book Rating : 4.39/5 ( download)

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Download or read book Manifolds - Amsterdam 1970 written by N. H. Kuiper and published by Springer. This book was released on 2006-11-15 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Michèle Audin
Publisher : Birkhäuser
ISBN 13 : 3034879601
Total Pages : 331 pages
Book Rating : 4.06/5 ( download)

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Download or read book Torus Actions on Symplectic Manifolds written by Michèle Audin and published by Birkhäuser. This book was released on 2012-12-06 with total page 331 pages. Available in PDF, EPUB and Kindle. Book excerpt: The material and references in this extended second edition of "The Topology of Torus Actions on Symplectic Manifolds", published as Volume 93 in this series in 1991, have been updated. Symplectic manifolds and torus actions are investigated, with numerous examples of torus actions, for instance on some moduli spaces. Although the book is still centered on convexity results, it contains much more material, in particular lots of new examples and exercises.