Seifert And Threlfall A Textbook Of Topology
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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
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.
A Textbook Of Topology
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Author : Herbert Seifert
language : en
Publisher:
Release Date : 1980
A Textbook Of Topology written by Herbert Seifert 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.
A Textbook Of Topology Topology Of 3 Dimensional Fibered Spaces
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Author : Herbert Seifert
language : en
Publisher:
Release Date : 1980
A Textbook Of Topology Topology Of 3 Dimensional Fibered Spaces written by Herbert Seifert 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.
Lehrbuch Der Topologie Von H Seifert Und W Threlfall
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Author : Herbert Seifert
language : en
Publisher:
Release Date : 1947
Lehrbuch Der Topologie Von H Seifert Und W Threlfall written by Herbert Seifert and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1947 with Topology categories.
Topology
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Author : Marco Manetti
language : en
Publisher: Springer
Release Date : 2015-06-19
Topology written by Marco Manetti and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-06-19 with Mathematics categories.
This is an introductory textbook on general and algebraic topology, aimed at anyone with a basic knowledge of calculus and linear algebra. It provides full proofs and includes many examples and exercises. The covered topics include: set theory and cardinal arithmetic; axiom of choice and Zorn's lemma; topological spaces and continuous functions; connectedness and compactness; Alexandrov compactification; quotient topologies; countability and separation axioms; prebasis and Alexander's theorem; the Tychonoff theorem and paracompactness; complete metric spaces and function spaces; Baire spaces; homotopy of maps; the fundamental group; the van Kampen theorem; covering spaces; Brouwer and Borsuk's theorems; free groups and free product of groups; and basic category theory. While it is very concrete at the beginning, abstract concepts are gradually introduced. It is suitable for anyone needing a basic, comprehensive introduction to general and algebraic topology and its applications.
Introduction To Topology
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Author : Bert Mendelson
language : en
Publisher: Courier Corporation
Release Date : 2012-04-26
Introduction To Topology written by Bert Mendelson and has been published by Courier Corporation this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-04-26 with Mathematics categories.
Concise undergraduate introduction to fundamentals of topology — clearly and engagingly written, and filled with stimulating, imaginative exercises. Topics include set theory, metric and topological spaces, connectedness, and compactness. 1975 edition.
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.
Beginning Topology
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Author : Sue E. Goodman
language : en
Publisher: American Mathematical Soc.
Release Date : 2009
Beginning Topology written by Sue E. Goodman 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 2009 with Mathematics categories.
Beginning Topology is designed to give undergraduate students a broad notion of the scope of topology in areas of point-set, geometric, combinatorial, differential, and algebraic topology, including an introduction to knot theory. A primary goal is to expose students to some recent research and to get them actively involved in learning. Exercises and open-ended projects are placed throughout the text, making it adaptable to seminar-style classes. The book starts with a chapter introducing the basic concepts of point-set topology, with examples chosen to captivate students' imaginations while illustrating the need for rigor. Most of the material in this and the next two chapters is essential for the remainder of the book. One can then choose from chapters on map coloring, vector fields on surfaces, the fundamental group, and knot theory. A solid foundation in calculus is necessary, with some differential equations and basic group theory helpful in a couple of chapters. Topics are chosen to appeal to a wide variety of students: primarily upper-level math majors, but also a few freshmen and sophomores as well as graduate students from physics, economics, and computer science. All students will benefit from seeing the interaction of topology with other fields of mathematics and science; some will be motivated to continue with a more in-depth, rigorous study of topology.
Lehrbuch Der Topologie
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Author : Herbert Seifert
language : de
Publisher: American Mathematical Soc.
Release Date : 2004-01-20
Lehrbuch Der Topologie written by Herbert Seifert 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 2004-01-20 with Mathematics categories.
The 1930s were important years in the development of modern topology, pushed forward by the appearance of a few pivotal books, of which this is one. The focus is on combinatorial and algebraic topology, with as much point-set topology as needed for the main topics. One sees from the modern point of view that the authors are working in a category of spaces that includes locally finite simplicial complexes. (Their definition of manifold is more properly known today as a ""triangulizable homology manifold"".)Amazingly, they manage to accomplish a lot without the convenient tools of homological algebra, such as exact sequences and commutative diagrams, that were developed later. The main topics covered are: simplicial homology (coefficients in $\mathbb{Z}$ or $\mathbb{Z}_2$), local homology, surface topology, the fundamental group and covering spaces, three-manifolds, Poincare duality, and the Lefschetz fixed point theorem. Few prerequisites are necessary. A final section reviews the lemmas and theorems from group theory that are needed in the text. As stated in the introduction to the important book by Alexandroff and Hopf (which appeared a year after ""Seifert and Threlfall""): 'Its lively and instructive presentation makes this book particularly suitable as an introduction or as a textbook.'