A Textbook Of Topology
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A Textbook Of Topology
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Author : B. C. Chatterjee
language : en
Publisher:
Release Date : 2002
A Textbook Of Topology written by B. C. Chatterjee and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2002 with Topology categories.
Code: Asian BooksDescription: The book is written primarily as a text book of topology for post-graduate students. The topics have accordingly been selected. The topics will also stinulate the students and researchers in mathematics and mathematical sciences. This book is an exposition of some fundamental concepts of topology. The reader is not assumed to have any prior knowledge of set theory and topology. Particular emphasis has been laid on naturality. The book has some distinct features: It starts a topic almost from the scratch but carries the reader to some essential concepts of topology. The clear and lucid treatment provides enough scope to explain the intricacies of the subject.
Seifert And Threlfall A Textbook Of Topology
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Author :
language : en
Publisher: Academic Press
Release Date : 1980-07-04
Seifert And Threlfall A Textbook Of Topology written by and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980-07-04 with Mathematics categories.
Seifert and Threlfall, A Textbook of Topology
A Textbook Of Topology
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Author :
language : en
Publisher:
Release Date : 1980
A Textbook Of Topology written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with categories.
Seifert And Threlfall
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Author :
language : en
Publisher:
Release Date : 1980
Seifert And Threlfall written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1980 with Topology categories.
Topology Now
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Author : Robert Messer
language : en
Publisher: American Mathematical Soc.
Release Date : 2018-10-10
Topology Now written by Robert Messer 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 2018-10-10 with categories.
Topology is a branch of mathematics packed with intriguing concepts, fascinating geometrical objects, and ingenious methods for studying them. The authors have written this textbook to make the material accessible to undergraduate students without requiring extensive prerequisites in upper-level mathematics. The approach is to cultivate the intuitive ideas of continuity, convergence, and connectedness so students can quickly delve into knot theory, the topology of surfaces and three-dimensional manifolds, fixed points and elementary homotopy theory. The fundamental concepts of point-set topology appear at the end of the book when students can see how this level of abstraction provides a sound logical basis for the geometrical ideas that have come before. This organization exposes students to the exciting world of topology now(!) rather than later. Students using this textbook should have some exposure to the geometry of objects in higher-dimensional Euclidean spaces together with an appreciation of precise mathematical definitions and proofs.
Elementary Topology
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Author : O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov
language : en
Publisher: American Mathematical Soc.
Release Date :
Elementary Topology written by O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov 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 with Mathematics categories.
This text contains a detailed introduction to general topology and an introduction to algebraic topology via its most classical and elementary segment. Proofs of theorems are separated from their formulations and are gathered at the end of each chapter, making this book appear like a problem book and also giving it appeal to the expert as a handbook. The book includes about 1,000 exercises.
General Topology
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Author : Stephen Willard
language : en
Publisher: Courier Corporation
Release Date : 2012-07-12
General Topology written by Stephen Willard and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-07-12 with Mathematics categories.
Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Includes historical notes and over 340 detailed exercises. 1970 edition. Includes 27 figures.
Introduction To Topology
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Author : Theodore W. Gamelin
language : en
Publisher: Courier Corporation
Release Date : 2013-04-22
Introduction To Topology written by Theodore W. Gamelin and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-04-22 with Mathematics categories.
This text explains nontrivial applications of metric space topology to analysis. Covers metric space, point-set topology, and algebraic topology. Includes exercises, selected answers, and 51 illustrations. 1983 edition.
Basic Algebraic Topology And Its Applications
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Author : Mahima Ranjan Adhikari
language : en
Publisher: Springer
Release Date : 2016-09-16
Basic Algebraic Topology And Its Applications written by Mahima Ranjan Adhikari and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-09-16 with Mathematics categories.
This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book offers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike. Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to engage in further study.
Algebraic Topology
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Author : Tammo tom Dieck
language : en
Publisher: European Mathematical Society
Release Date : 2008
Algebraic Topology written by Tammo tom Dieck and has been published by European Mathematical Society this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.
This book is written as a textbook on algebraic topology. The first part covers the material for two introductory courses about homotopy and homology. The second part presents more advanced applications and concepts (duality, characteristic classes, homotopy groups of spheres, bordism). The author recommends starting an introductory course with homotopy theory. For this purpose, classical results are presented with new elementary proofs. Alternatively, one could start more traditionally with singular and axiomatic homology. Additional chapters are devoted to the geometry of manifolds, cell complexes and fibre bundles. A special feature is the rich supply of nearly 500 exercises and problems. Several sections include topics which have not appeared before in textbooks as well as simplified proofs for some important results. Prerequisites are standard point set topology (as recalled in the first chapter), elementary algebraic notions (modules, tensor product), and some terminology from category theory. The aim of the book is to introduce advanced undergraduate and graduate (master's) students to basic tools, concepts and results of algebraic topology. Sufficient background material from geometry and algebra is included.