A Short Course In Differential Geometry And Topology

Author : A. T. Fomenko,Aleksandr Sergeevich Mishchenko
Publisher : Unknown
Page : 292 pages
File Size : 47,7 Mb
Release : 2009
Category : Mathematics
ISBN : UOM:39015080871190

Get Book

A Short Course in Differential Geometry and Topology by A. T. Fomenko,Aleksandr Sergeevich Mishchenko Pdf

This volume is intended for graduate and research students in mathematics and physics. It covers general topology, nonlinear co-ordinate systems, theory of smooth manifolds, theory of curves and surfaces, transformation groupstensor analysis and Riemannian geometry theory of intogration and homologies, fundamental groups and variational principles in Riemannian geometry. The text is presented in a form that is easily accessible to students and is supplemented by a large number of examples, problems, drawings and appendices.

Author : Bjørn Ian Dundas
Publisher : Cambridge University Press
Page : 265 pages
File Size : 52,5 Mb
Release : 2018-06-28
Category : Mathematics
ISBN : 9781108425797

Get Book

A Short Course in Differential Topology by Bjørn Ian Dundas Pdf

This book offers a concise and modern introduction to differential topology, the study of smooth manifolds and their properties, at the advanced undergraduate/beginning graduate level. The treatment throughout is hands-on, including many concrete examples and exercises woven into the text with hints provided to guide the student.

Author : A.T. Fomenko
Publisher : Springer
Page : 344 pages
File Size : 49,9 Mb
Release : 1987-05-31
Category : Mathematics
ISBN : 9780306109959

Get Book

Differential Geometry and Topology by A.T. Fomenko Pdf

Author : American Mathematical Society. Short Course, Discrete Differential Geometry
Publisher : American Mathematical Soc.
Page : 140 pages
File Size : 55,7 Mb
Release : 2020-09-02
Category : Education
ISBN : 9781470446628

Get Book

An Excursion Through Discrete Differential Geometry by American Mathematical Society. Short Course, Discrete Differential Geometry Pdf

Discrete Differential Geometry (DDG) is an emerging discipline at the boundary between mathematics and computer science. It aims to translate concepts from classical differential geometry into a language that is purely finite and discrete, and can hence be used by algorithms to reason about geometric data. In contrast to standard numerical approximation, the central philosophy of DDG is to faithfully and exactly preserve key invariants of geometric objects at the discrete level. This process of translation from smooth to discrete helps to both illuminate the fundamental meaning behind geometric ideas and provide useful algorithmic guarantees. This volume is based on lectures delivered at the 2018 AMS Short Course ``Discrete Differential Geometry,'' held January 8-9, 2018, in San Diego, California. The papers in this volume illustrate the principles of DDG via several recent topics: discrete nets, discrete differential operators, discrete mappings, discrete conformal geometry, and discrete optimal transport.

Author : Thierry Aubin
Publisher : American Mathematical Soc.
Page : 200 pages
File Size : 43,7 Mb
Release : 2001
Category : Mathematics
ISBN : 0821872141

Get Book

A Course in Differential Geometry by Thierry Aubin Pdf

This textbook for second-year graduate students is an introduction to differential geometry with principal emphasis on Riemannian geometry. The author is well-known for his significant contributions to the field of geometry and PDEs - particularly for his work on the Yamabe problem - and for his expository accounts on the subject. The text contains many problems and solutions, permitting the reader to apply the theorems and to see concrete developments of the abstract theory.

Author : A. T. Fomenko,A. S. Mishchenko,Yu. P. Solovyev
Publisher : Unknown
Page : 0 pages
File Size : 53,9 Mb
Release : 2013
Category : Geometry, Differential
ISBN : 1904868339

Get Book

Selected Problems in Differential Geometry and Topology by A. T. Fomenko,A. S. Mishchenko,Yu. P. Solovyev Pdf

This volume is a companion volume to A Short Course in Differential Geometry and Topology and is based on seminars held at Faculty of Mechanics and Mathematics at Moscow State University. It is intended as a supplementary text for graduate courses in differential geometry and topology. Parts 1 and 2 consist of problems and there are answers and solutions given.

Author : Izu Vaisman
Publisher : CRC Press
Page : 186 pages
File Size : 47,6 Mb
Release : 2020-11-26
Category : Mathematics
ISBN : 9781000146400

Get Book

A First Course in Differential Geometry by Izu Vaisman Pdf

This book proposes a new approach which is designed to serve as an introductory course in differential geometry for advanced undergraduate students. It is based on lectures given by the author at several universities, and discusses calculus, topology, and linear algebra.

Author : Ethan D. Bloch
Publisher : Springer Science & Business Media
Page : 433 pages
File Size : 53,9 Mb
Release : 2011-06-27
Category : Mathematics
ISBN : 9780817681227

Get Book

A First Course in Geometric Topology and Differential Geometry by Ethan D. Bloch Pdf

The uniqueness of this text in combining geometric topology and differential geometry lies in its unifying thread: the notion of a surface. With numerous illustrations, exercises and examples, the student comes to understand the relationship of the modern abstract approach to geometric intuition. The text is kept at a concrete level, avoiding unnecessary abstractions, yet never sacrificing mathematical rigor. The book includes topics not usually found in a single book at this level.

Author : M. Karoubi,C. Leruste
Publisher : Cambridge University Press
Page : 380 pages
File Size : 45,5 Mb
Release : 1987
Category : Mathematics
ISBN : 0521317142

Get Book

Algebraic Topology Via Differential Geometry by M. Karoubi,C. Leruste Pdf

In this volume the authors seek to illustrate how methods of differential geometry find application in the study of the topology of differential manifolds. Prerequisites are few since the authors take pains to set out the theory of differential forms and the algebra required. The reader is introduced to De Rham cohomology, and explicit and detailed calculations are present as examples. Topics covered include Mayer-Vietoris exact sequences, relative cohomology, Pioncare duality and Lefschetz's theorem. This book will be suitable for graduate students taking courses in algebraic topology and in differential topology. Mathematicians studying relativity and mathematical physics will find this an invaluable introduction to the techniques of differential geometry.

Author : Keith Burns,Marian Gidea
Publisher : CRC Press
Page : 403 pages
File Size : 46,6 Mb
Release : 2005-05-27
Category : Mathematics
ISBN : 9781420057539

Get Book

Differential Geometry and Topology by Keith Burns,Marian Gidea Pdf

Accessible, concise, and self-contained, this book offers an outstanding introduction to three related subjects: differential geometry, differential topology, and dynamical systems. Topics of special interest addressed in the book include Brouwer's fixed point theorem, Morse Theory, and the geodesic flow. Smooth manifolds, Riemannian metrics

Author : Wilhelm Klingenberg
Publisher : Unknown
Page : 178 pages
File Size : 51,9 Mb
Release : 1983
Category : Electronic
ISBN : OCLC:634013381

Get Book

A Course in Differential Geometry by Wilhelm Klingenberg Pdf

Author : Andrew McInerney
Publisher : Springer Science & Business Media
Page : 420 pages
File Size : 42,9 Mb
Release : 2013-07-09
Category : Mathematics
ISBN : 9781461477327

Get Book

First Steps in Differential Geometry by Andrew McInerney Pdf

Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent space," and this text develops this point of view. This book, unlike other introductory texts in differential geometry, develops the architecture necessary to introduce symplectic and contact geometry alongside its Riemannian cousin. The main goal of this book is to bring the undergraduate student who already has a solid foundation in the standard mathematics curriculum into contact with the beauty of higher mathematics. In particular, the presentation here emphasizes the consequences of a definition and the careful use of examples and constructions in order to explore those consequences.

Author : S. Kumaresan
Publisher : Springer
Page : 306 pages
File Size : 41,8 Mb
Release : 2002-01-15
Category : Mathematics
ISBN : 9789386279088

Get Book

A Course in Differential Geometry and Lie Groups by S. Kumaresan Pdf

Author : Theodor Bröcker,K. Jänich
Publisher : Cambridge University Press
Page : 176 pages
File Size : 45,5 Mb
Release : 1982-09-16
Category : Mathematics
ISBN : 0521284708

Get Book

Introduction to Differential Topology by Theodor Bröcker,K. Jänich Pdf

This book is intended as an elementary introduction to differential manifolds. The authors concentrate on the intuitive geometric aspects and explain not only the basic properties but also teach how to do the basic geometrical constructions. An integral part of the work are the many diagrams which illustrate the proofs. The text is liberally supplied with exercises and will be welcomed by students with some basic knowledge of analysis and topology.

Author : Chris J. Isham
Publisher : Allied Publishers
Page : 308 pages
File Size : 51,7 Mb
Release : 2002
Category : Geometry, Differential
ISBN : 8177643169

Get Book

Modern Differential Geometry for Physicists by Chris J. Isham Pdf