Elements Of Combinatorial And Differential Topology
DOWNLOAD
Download Elements Of Combinatorial And Differential Topology PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Elements Of Combinatorial And Differential Topology book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
Elements Of Combinatorial And Differential Topology
DOWNLOAD
Author : Viktor Vasilʹevich Prasolov
language : en
Publisher: American Mathematical Soc.
Release Date : 2006
Elements Of Combinatorial And Differential Topology written by Viktor Vasilʹevich Prasolov and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Combinatorial topology categories.
Modern topology uses very diverse methods. This book is devoted largely to methods of combinatorial topology, which reduce the study of topological spaces to investigations of their partitions into elementary sets, and to methods of differential topology, which deal with smooth manifolds and smooth maps. Many topological problems can be solved by using either of these two kinds of methods, combinatorial or differential. In such cases, both approaches are discussed. One of the maingoals of this book is to advance as far as possible in the study of the properties of topological spaces (especially manifolds) without employing complicated techniques. This distinguishes it from the majority of other books on topology. The book contains many problems; almost all of them are suppliedwith hints or complete solutions.
Elements Of Combinatorial And Differential Topology
DOWNLOAD
Author : V. V. Prasolov
language : en
Publisher: American Mathematical Society
Release Date : 2022-03-25
Elements Of Combinatorial And Differential Topology written by V. V. Prasolov and has been published by American Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-03-25 with Mathematics categories.
Modern topology uses very diverse methods. This book is devoted largely to methods of combinatorial topology, which reduce the study of topological spaces to investigations of their partitions into elementary sets, and to methods of differential topology, which deal with smooth manifolds and smooth maps. Many topological problems can be solved by using either of these two kinds of methods, combinatorial or differential. In such cases, both approaches are discussed. One of the main goals of this book is to advance as far as possible in the study of the properties of topological spaces (especially manifolds) without employing complicated techniques. This distinguishes it from the majority of other books on topology. The book contains many problems; almost all of them are supplied with hints or complete solutions.
Elements Of Differential Topology
DOWNLOAD
Author : Anant R. Shastri
language : en
Publisher: CRC Press
Release Date : 2011-03-04
Elements Of Differential Topology written by Anant R. Shastri and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-03-04 with Mathematics categories.
Derived from the author's course on the subject, Elements of Differential Topology explores the vast and elegant theories in topology developed by Morse, Thom, Smale, Whitney, Milnor, and others. It begins with differential and integral calculus, leads you through the intricacies of manifold theory, and concludes with discussions on algebraic topol
Introduction To Differential And Algebraic Topology
DOWNLOAD
Author : Yu.G. Borisovich
language : en
Publisher: Springer Science & Business Media
Release Date : 2013-03-09
Introduction To Differential And Algebraic Topology written by Yu.G. Borisovich and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-09 with Mathematics categories.
Topology as a subject, in our opinion, plays a central role in university education. It is not really possible to design courses in differential geometry, mathematical analysis, differential equations, mechanics, functional analysis that correspond to the temporary state of these disciplines without involving topological concepts. Therefore, it is essential to acquaint students with topo logical research methods already in the first university courses. This textbook is one possible version of an introductory course in topo logy and elements of differential geometry, and it absolutely reflects both the authors' personal preferences and experience as lecturers and researchers. It deals with those areas of topology and geometry that are most closely related to fundamental courses in general mathematics. The educational material leaves a lecturer a free choice in designing his own course or his own seminar. We draw attention to a number of particularities in our book. The first chap ter, according to the authors' intention, should acquaint readers with topolo gical problems and concepts which arise from problems in geometry, analysis, and physics. Here, general topology (Ch. 2) is presented by introducing con structions, for example, related to the concept of quotient spaces, much earlier than various other notions of general topology thus making it possible for students to study important examples of manifolds (two-dimensional surfaces, projective spaces, orbit spaces, etc.) as topological spaces, immediately.
Differential And Combinatorial Topology
DOWNLOAD
Author : Stewart S. Cairns
language : en
Publisher:
Release Date : 1965
Differential And Combinatorial Topology written by Stewart S. Cairns and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1965 with categories.
A Combinatorial Introduction To Topology
DOWNLOAD
Author : Michael Henle
language : en
Publisher: Courier Corporation
Release Date : 1994-01-01
A Combinatorial Introduction To Topology written by Michael Henle and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-01-01 with Mathematics categories.
Excellent text covers vector fields, plane homology and the Jordan Curve Theorem, surfaces, homology of complexes, more. Problems and exercises. Some knowledge of differential equations and multivariate calculus required.Bibliography. 1979 edition.
Differential Topology With A View To Applications
DOWNLOAD
Author : David Chillingworth
language : en
Publisher: Fearon Publishers
Release Date : 1976
Differential Topology With A View To Applications written by David Chillingworth and has been published by Fearon Publishers this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Mathematics categories.
Algebraic And Differential Topology
DOWNLOAD
Author : R.V. Gamkrelidze
language : en
Publisher: Routledge
Release Date : 2022-01-27
Algebraic And Differential Topology written by R.V. Gamkrelidze and has been published by Routledge this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-01-27 with Mathematics categories.
Algebraic and Differential Topology presents in a clear, concise, and detailed manner the fundamentals of homology theory. It first defines the concept of a complex and its Betti groups, then discusses the topolgoical invariance of a Betti group. The book next presents various applications of homology theory, such as mapping of polyhedrons onto other polyhedrons as well as onto themselves. The third volume in L.S. Pontryagin's Selected Works, this book provides as many insights into algebraic topology for today's mathematician as it did when the author was making his initial endeavors into this field.
Foundations Of Combinatorial Topology
DOWNLOAD
Author : L. S. Pontryagin
language : en
Publisher: Courier Corporation
Release Date : 2015-05-20
Foundations Of Combinatorial Topology written by L. S. Pontryagin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-05-20 with Mathematics categories.
Concise, rigorous introduction to homology theory features applications to dimension theory and fixed-point theorems. Lucid coverage of the field includes examinations of complexes and their Betti groups, invariance of the Betti groups, and continuous mappings and fixed points. Proofs are presented in a complete and careful manner. A beneficial text for a graduate-level course, "this little book is an extremely valuable addition to the literature of algebraic topology." — The Mathematical Gazette.
Differential Topology
DOWNLOAD
Author : J. Margalef-Roig
language : en
Publisher: Elsevier
Release Date : 1992-06-02
Differential Topology written by J. Margalef-Roig and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992-06-02 with Mathematics categories.
...there are reasons enough to warrant a coherent treatment of the main body of differential topology in the realm of Banach manifolds, which is at the same time correct and complete. This book fills the gap: whenever possible the manifolds treated are Banach manifolds with corners. Corners add to the complications and the authors have carefully fathomed the validity of all main results at corners. Even in finite dimensions some results at corners are more complete and better thought out here than elsewhere in the literature. The proofs are correct and with all details. I see this book as a reliable monograph of a well-defined subject; the possibility to fall back to it adds to the feeling of security when climbing in the more dangerous realms of infinite dimensional differential geometry. Peter W. Michor