Ebook BookAn Illustrated Introduction to Topology and Homotopy

[Free Ebook.Davh] An Illustrated Introduction to Topology and Homotopy

[Free Ebook.Davh] An Illustrated Introduction to Topology and Homotopy

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Book Details :
Published on: 2015-03-24
Released on:
Original language: English

An Illustrated Introduction to Topology and Homotopy explores the beauty of topology and homotopy theory in a direct and engaging manner while illustrating the power of the theory through many, often surprising, applications. This self-contained book takes a visual and rigorous approach that incorporates both extensive illustrations and full proofs. The first part of the text covers basic topology, ranging from metric spaces and the axioms of topology through subspaces, product spaces, connectedness, compactness, and separation axioms to Urysohn’s lemma, Tietze’s theorems, and Stone-Čech compactification. Focusing on homotopy, the second part starts with the notions of ambient isotopy, homotopy, and the fundamental group. The book then covers basic combinatorial group theory, the Seifert-van Kampen theorem, knots, and low-dimensional manifolds. The last three chapters discuss the theory of covering spaces, the Borsuk-Ulam theorem, and applications in group theory, including various subgroup theorems. Requiring only some familiarity with group theory, the text includes a large number of figures as well as various examples that show how the theory can be applied. Each section starts with brief historical notes that trace the growth of the subject and ends with a set of exercises. Aurora: Dover Modern Math Originals Dover Math Books ... Introducing Aurora: Dover Modern Math Originals: Since 1941 Dover has reissued some of the most influential works in all areas of mathematics. Now we are proud to ... Topology - definition of topology by The Free Dictionary Designers and engineers will be able to leverage the familiar ANSYS workflow for defining a finite element model creating loads and boundary conditions and ... The Assayer: Browse by Subject The contents of this web page except the parts contributed by members of The Assayer are copyright (c) 2000 by Benjamin Crowell and are copyleft licensed under the ... Currying - Wikipedia In mathematics and computer science currying is the technique of translating the evaluation of a function that takes multiple arguments (or a tuple of arguments ... Mathematics Calendar - American Mathematical Society Mathematics Calendar. Questions and answers regarding this page can be sent to mathcal@ams.org. You can submit an entry to the Mathematics Calendar by filling out ... International Journal of Engineering Research and ... International Journal of Engineering Research and Applications (IJERA) is an open access online peer reviewed international journal that publishes research .. Henri Poincar - Wikipedia Local time. Poincar's work at the Bureau des Longitudes on establishing international time zones led him to consider how clocks at rest on the Earth which would be ... Peliculotas Qu podemos decir?. En Peliculotas nos dedicamos a subir peliculas completas en espaol latino sobre todos los gneros. Disfruta y comparte. Four-letter Course Codes-Undergraduate - Academic Catalogs ACCT 2310 Principles of Accounting I Prerequisite: 70% score on Information Technology Qualifying Exam and MATH 1302. Introduction to the field of accounting ... [ihtik.lib.ru] _ [ihtik.lib.ru] _. : 14292 : 573 GB; ; d:\_ihtik.lib.ru\2012.03 ...
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