Intuitive Concepts in Elementary Topology

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Publisher : Courier Corporation
ISBN 13 : 0486275760
Total Pages : 194 pages
Book Rating : 4.4/5 (862 download)

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Book Synopsis Intuitive Concepts in Elementary Topology by : B.H. Arnold

Download or read book Intuitive Concepts in Elementary Topology written by B.H. Arnold and published by Courier Corporation. This book was released on 2015-02-23 with total page 194 pages. Available in PDF, EPUB and Kindle. Book excerpt: Classroom-tested and much-cited, this concise text is designed for undergraduates. It offers a valuable and instructive introduction to the basic concepts of topology, taking an intuitive rather than an axiomatic viewpoint. 1962 edition.

Intuitive Concepts in Elementary Topology

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Publisher :
ISBN 13 :
Total Pages : 182 pages
Book Rating : 4.:/5 (264 download)

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Book Synopsis Intuitive Concepts in Elementary Topology by : Bradford Henry Arnold

Download or read book Intuitive Concepts in Elementary Topology written by Bradford Henry Arnold and published by . This book was released on 1963 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Intuitive Concepts in Elementary Topology

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Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (959 download)

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Book Synopsis Intuitive Concepts in Elementary Topology by : Allen Nussbaum

Download or read book Intuitive Concepts in Elementary Topology written by Allen Nussbaum and published by . This book was released on 1962 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Intuitive concepts in elementary topology

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Publisher :
ISBN 13 :
Total Pages : 182 pages
Book Rating : 4.:/5 (439 download)

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Book Synopsis Intuitive concepts in elementary topology by : B. H. Arnol'd

Download or read book Intuitive concepts in elementary topology written by B. H. Arnol'd and published by . This book was released on 1962 with total page 182 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Intuitive Concepts in Elementary Topology

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Author :
Publisher :
ISBN 13 :
Total Pages : 18 pages
Book Rating : 4.:/5 (112 download)

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Book Synopsis Intuitive Concepts in Elementary Topology by : Gary Rothwell

Download or read book Intuitive Concepts in Elementary Topology written by Gary Rothwell and published by . This book was released on 1974 with total page 18 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Elementary Concepts of Topology

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Author :
Publisher : Courier Corporation
ISBN 13 : 0486155064
Total Pages : 68 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Elementary Concepts of Topology by : Paul Alexandroff

Download or read book Elementary Concepts of Topology written by Paul Alexandroff and published by Courier Corporation. This book was released on 2012-08-13 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Concise work presents topological concepts in clear, elementary fashion, from basics of set-theoretic topology, through topological theorems and questions based on concept of the algebraic complex, to the concept of Betti groups. Includes 25 figures.

Intuitive Combinatorial Topology

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Publisher : Springer Science & Business Media
ISBN 13 : 1475756046
Total Pages : 153 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Intuitive Combinatorial Topology by : V.G. Boltyanskii

Download or read book Intuitive Combinatorial Topology written by V.G. Boltyanskii and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 153 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology is a relatively young and very important branch of mathematics, which studies the properties of objects that are preserved through deformations, twistings, and stretchings. This book deals with the topology of curves and surfaces as well as with the fundamental concepts of homotopy and homology, and does this in a lively and well-motivated way. This book is well suited for readers who are interested in finding out what topology is all about.

Elementare Topologie (Intuitive Concepts in elementary topology. dt.) Anschaul

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Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (163 download)

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Book Synopsis Elementare Topologie (Intuitive Concepts in elementary topology. dt.) Anschaul by : Bradford Henry Arnold

Download or read book Elementare Topologie (Intuitive Concepts in elementary topology. dt.) Anschaul written by Bradford Henry Arnold and published by . This book was released on 1964 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Intuitive Topology

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 0821803565
Total Pages : 106 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Intuitive Topology by : Viktor Vasilʹevich Prasolov

Download or read book Intuitive Topology written by Viktor Vasilʹevich Prasolov and published by American Mathematical Soc.. This book was released on 1995 with total page 106 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book is an introduction to elementary topology presented in an intuitive way, emphasizing the visual aspect. Examples of nontrivial and often unexpected topological phenomena acquaint the reader with the picturesque world of knots, links, vector fields, and two-dimensional surfaces. The book begins with definitions presented in a tangible and perceptible way, on an everyday level, and progressively makes them more precise and rigorous, eventually reaching the level of fairly sophisticated proofs. This allows meaningful problems to be tackled from the outset. Another unusual trait of this book is that it deals mainly with constructions and maps, rather than with proofs that certain maps and constructions do or do not exist. The numerous illustrations are an essential feature. The book is accessible not only to undergraduates but also to high school students and will interest any reader who has some feeling for the visual elegance of geometry and topology.

Elementary Topology

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Author :
Publisher : American Mathematical Soc.
ISBN 13 : 9780821886250
Total Pages : 432 pages
Book Rating : 4.8/5 (862 download)

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Book Synopsis Elementary Topology by : O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov

Download or read book Elementary Topology written by O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov and published by American Mathematical Soc.. This book was released on with total page 432 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Topological Spaces

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Publisher : Springer Science & Business Media
ISBN 13 : 1461206650
Total Pages : 321 pages
Book Rating : 4.4/5 (612 download)

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Book Synopsis Topological Spaces by : Gerard Buskes

Download or read book Topological Spaces written by Gerard Buskes and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: gentle introduction to the subject, leading the reader to understand the notion of what is important in topology with regard to geometry. Divided into three sections - The line and the plane, Metric spaces and Topological spaces -, the book eases the move into higher levels of abstraction. Students are thereby informally assisted in learning new ideas while remaining on familiar territory. The authors do not assume previous knowledge of axiomatic approach or set theory. Similarly, they have restricted the mathematical vocabulary in the book so as to avoid overwhelming the reader, and the concept of convergence is employed to allow students to focus on a central theme while moving to a natural understanding of the notion of topology. The pace of the book is relaxed with gradual acceleration: the first nine sections form a balanced course in metric spaces for undergraduates while also containing ample material for a two-semester graduate course. Finally, the book illustrates the many connections between topology and other subjects, such as analysis and set theory, via the inclusion of "Extras" at the end of each chapter presenting a brief foray outside topology.

Topology Now!

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Publisher : American Mathematical Soc.
ISBN 13 : 1470447819
Total Pages : 240 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Topology Now! by : Robert Messer

Download or read book Topology Now! written by Robert Messer and published by American Mathematical Soc.. This book was released on 2018-10-10 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

From Geometry to Topology

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Publisher : Courier Corporation
ISBN 13 : 0486138496
Total Pages : 210 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis From Geometry to Topology by : H. Graham Flegg

Download or read book From Geometry to Topology written by H. Graham Flegg and published by Courier Corporation. This book was released on 2012-03-08 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This excellent introduction to topology eases first-year math students and general readers into the subject by surveying its concepts in a descriptive and intuitive way, attempting to build a bridge from the familiar concepts of geometry to the formalized study of topology. The first three chapters focus on congruence classes defined by transformations in real Euclidean space. As the number of permitted transformations increases, these classes become larger, and their common topological properties become intuitively clear. Chapters 4–12 give a largely intuitive presentation of selected topics. In the remaining five chapters, the author moves to a more conventional presentation of continuity, sets, functions, metric spaces, and topological spaces. Exercises and Problems. 101 black-and-white illustrations. 1974 edition.

Elements of Point Set Topology

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Publisher : Courier Corporation
ISBN 13 : 0486668266
Total Pages : 164 pages
Book Rating : 4.4/5 (866 download)

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Book Synopsis Elements of Point Set Topology by : John D. Baum

Download or read book Elements of Point Set Topology written by John D. Baum and published by Courier Corporation. This book was released on 1991-01-01 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topology continues to be a topic of prime importance in contemporary mathematics, but until the publication of this book there were few if any introductions to topology for undergraduates. This book remedied that need by offering a carefully thought-out, graduated approach to point set topology at the undergraduate level. To make the book as accessible as possible, the author approaches topology from a geometric and axiomatic standpoint; geometric, because most students come to the subject with a good deal of geometry behind them, enabling them to use their geometric intuition; axiomatic, because it parallels the student's experience with modern algebra, and keeps the book in harmony with current trends in mathematics. After a discussion of such preliminary topics as the algebra of sets, Euler-Venn diagrams and infinite sets, the author takes up basic definitions and theorems regarding topological spaces (Chapter 1). The second chapter deals with continuous functions (mappings) and homeomorphisms, followed by two chapters on special types of topological spaces (varieties of compactness and varieties of connectedness). Chapter 5 covers metric spaces. Since basic point set topology serves as a foundation not only for functional analysis but also for more advanced work in point set topology and algebraic topology, the author has included topics aimed at students with interests other than analysis. Moreover, Dr. Baum has supplied quite detailed proofs in the beginning to help students approaching this type of axiomatic mathematics for the first time. Similarly, in the first part of the book problems are elementary, but they become progressively more difficult toward the end of the book. References have been supplied to suggest further reading to the interested student.

Elementary Topology And Applications (Second Edition)

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Publisher : World Scientific
ISBN 13 : 9811237441
Total Pages : 174 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Elementary Topology And Applications (Second Edition) by : Carlos R Borges

Download or read book Elementary Topology And Applications (Second Edition) written by Carlos R Borges and published by World Scientific. This book was released on 2021-07-21 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: The textbook is a very good start into the mathematical field of topology. A variety of topological concepts with some elementary applications are introduced. It is organized in such a way that the reader gets to significant applications quickly.This revised version corrects the many discrepancies in the earlier edition. The emphasis is on the geometric understanding and the use of new concepts, indicating that topology is really the language of modern mathematics.

Topology

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Publisher : MIT Press
ISBN 13 : 0262359626
Total Pages : 167 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Topology by : Tai-Danae Bradley

Download or read book Topology written by Tai-Danae Bradley and published by MIT Press. This book was released on 2020-08-18 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: A graduate-level textbook that presents basic topology from the perspective of category theory. This graduate-level textbook on topology takes a unique approach: it reintroduces basic, point-set topology from a more modern, categorical perspective. Many graduate students are familiar with the ideas of point-set topology and they are ready to learn something new about them. Teaching the subject using category theory--a contemporary branch of mathematics that provides a way to represent abstract concepts--both deepens students' understanding of elementary topology and lays a solid foundation for future work in advanced topics.

Computational Topology for Data Analysis

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Publisher : Cambridge University Press
ISBN 13 : 1009103199
Total Pages : 456 pages
Book Rating : 4.0/5 (91 download)

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Book Synopsis Computational Topology for Data Analysis by : Tamal Krishna Dey

Download or read book Computational Topology for Data Analysis written by Tamal Krishna Dey and published by Cambridge University Press. This book was released on 2022-03-10 with total page 456 pages. Available in PDF, EPUB and Kindle. Book excerpt: Topological data analysis (TDA) has emerged recently as a viable tool for analyzing complex data, and the area has grown substantially both in its methodologies and applicability. Providing a computational and algorithmic foundation for techniques in TDA, this comprehensive, self-contained text introduces students and researchers in mathematics and computer science to the current state of the field. The book features a description of mathematical objects and constructs behind recent advances, the algorithms involved, computational considerations, as well as examples of topological structures or ideas that can be used in applications. It provides a thorough treatment of persistent homology together with various extensions – like zigzag persistence and multiparameter persistence – and their applications to different types of data, like point clouds, triangulations, or graph data. Other important topics covered include discrete Morse theory, the Mapper structure, optimal generating cycles, as well as recent advances in embedding TDA within machine learning frameworks.