Introduction To Topology PDF Download
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Author | : Bert Mendelson |
Publisher | : Courier Corporation |
Total Pages | : 226 |
Release | : 2012-04-26 |
Genre | : Mathematics |
ISBN | : 0486135098 |
Download Introduction to Topology Book in PDF, ePub and Kindle
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.
Author | : Theodore W. Gamelin |
Publisher | : Courier Corporation |
Total Pages | : 258 |
Release | : 2013-04-22 |
Genre | : Mathematics |
ISBN | : 0486320189 |
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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.
Author | : Michael Henle |
Publisher | : Courier Corporation |
Total Pages | : 340 |
Release | : 1994-01-01 |
Genre | : Mathematics |
ISBN | : 9780486679662 |
Download A Combinatorial Introduction to Topology Book in PDF, ePub and Kindle
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.
Author | : Crump W. Baker |
Publisher | : |
Total Pages | : 155 |
Release | : 1997 |
Genre | : Mathematics |
ISBN | : 9781575240084 |
Download Introduction to Topology Book in PDF, ePub and Kindle
The fundamental concepts of general topology are covered in this text whic can be used by students with only an elementary background in calculus. Chapters cover: sets; functions; topological spaces; subspaces; and homeomorphisms.
Author | : Colin Conrad Adams |
Publisher | : Pearson |
Total Pages | : 520 |
Release | : 2008 |
Genre | : Mathematics |
ISBN | : |
Download Introduction to Topology Book in PDF, ePub and Kindle
Learn the basics of point-set topology with the understanding of its real-world application to a variety of other subjects including science, economics, engineering, and other areas of mathematics. Introduces topology as an important and fascinating mathematics discipline to retain the readers interest in the subject. Is written in an accessible way for readers to understand the usefulness and importance of the application of topology to other fields. Introduces topology concepts combined with their real-world application to subjects such DNA, heart stimulation, population modeling, cosmology, and computer graphics. Covers topics including knot theory, degree theory, dynamical systems and chaos, graph theory, metric spaces, connectedness, and compactness. A useful reference for readers wanting an intuitive introduction to topology.
Author | : John M. Lee |
Publisher | : Springer Science & Business Media |
Total Pages | : 395 |
Release | : 2000 |
Genre | : Mathematics |
ISBN | : 0387987592 |
Download Introduction to Topological Manifolds Book in PDF, ePub and Kindle
Exercises in the text, especially in the first part of the book. Author states, that they have to be solved, without the solutions, the text is incomplete. Includes also problems after each chapter
Author | : Tej Bahadur Singh |
Publisher | : Springer |
Total Pages | : 452 |
Release | : 2019-05-17 |
Genre | : Mathematics |
ISBN | : 9811369542 |
Download Introduction to Topology Book in PDF, ePub and Kindle
Topology is a large subject with several branches, broadly categorized as algebraic topology, point-set topology, and geometric topology. Point-set topology is the main language for a broad range of mathematical disciplines, while algebraic topology offers as a powerful tool for studying problems in geometry and numerous other areas of mathematics. This book presents the basic concepts of topology, including virtually all of the traditional topics in point-set topology, as well as elementary topics in algebraic topology such as fundamental groups and covering spaces. It also discusses topological groups and transformation groups. When combined with a working knowledge of analysis and algebra, this book offers a valuable resource for advanced undergraduate and beginning graduate students of mathematics specializing in algebraic topology and harmonic analysis.
Author | : Erica Flapan |
Publisher | : American Mathematical Soc. |
Total Pages | : 406 |
Release | : 2015-12-22 |
Genre | : Mathematics |
ISBN | : 1470425351 |
Download Knots, Molecules, and the Universe Book in PDF, ePub and Kindle
This book is an elementary introduction to geometric topology and its applications to chemistry, molecular biology, and cosmology. It does not assume any mathematical or scientific background, sophistication, or even motivation to study mathematics. It is meant to be fun and engaging while drawing students in to learn about fundamental topological and geometric ideas. Though the book can be read and enjoyed by nonmathematicians, college students, or even eager high school students, it is intended to be used as an undergraduate textbook. The book is divided into three parts corresponding to the three areas referred to in the title. Part 1 develops techniques that enable two- and three-dimensional creatures to visualize possible shapes for their universe and to use topological and geometric properties to distinguish one such space from another. Part 2 is an introduction to knot theory with an emphasis on invariants. Part 3 presents applications of topology and geometry to molecular symmetries, DNA, and proteins. Each chapter ends with exercises that allow for better understanding of the material. The style of the book is informal and lively. Though all of the definitions and theorems are explicitly stated, they are given in an intuitive rather than a rigorous form, with several hundreds of figures illustrating the exposition. This allows students to develop intuition about topology and geometry without getting bogged down in technical details.
Author | : Michael Starbird |
Publisher | : American Mathematical Soc. |
Total Pages | : 313 |
Release | : 2020-09-10 |
Genre | : Education |
ISBN | : 1470462613 |
Download Topology Through Inquiry Book in PDF, ePub and Kindle
Topology Through Inquiry is a comprehensive introduction to point-set, algebraic, and geometric topology, designed to support inquiry-based learning (IBL) courses for upper-division undergraduate or beginning graduate students. The book presents an enormous amount of topology, allowing an instructor to choose which topics to treat. The point-set material contains many interesting topics well beyond the basic core, including continua and metrizability. Geometric and algebraic topology topics include the classification of 2-manifolds, the fundamental group, covering spaces, and homology (simplicial and singular). A unique feature of the introduction to homology is to convey a clear geometric motivation by starting with mod 2 coefficients. The authors are acknowledged masters of IBL-style teaching. This book gives students joy-filled, manageable challenges that incrementally develop their knowledge and skills. The exposition includes insightful framing of fruitful points of view as well as advice on effective thinking and learning. The text presumes only a modest level of mathematical maturity to begin, but students who work their way through this text will grow from mathematics students into mathematicians. Michael Starbird is a University of Texas Distinguished Teaching Professor of Mathematics. Among his works are two other co-authored books in the Mathematical Association of America's (MAA) Textbook series. Francis Su is the Benediktsson-Karwa Professor of Mathematics at Harvey Mudd College and a past president of the MAA. Both authors are award-winning teachers, including each having received the MAA's Haimo Award for distinguished teaching. Starbird and Su are, jointly and individually, on lifelong missions to make learning—of mathematics and beyond—joyful, effective, and available to everyone. This book invites topology students and teachers to join in the adventure.
Author | : Shaun V. Ault |
Publisher | : JHU Press |
Total Pages | : 410 |
Release | : 2018-01-30 |
Genre | : Mathematics |
ISBN | : 142142407X |
Download Understanding Topology Book in PDF, ePub and Kindle
"Topology can present significant challenges for undergraduate students of mathematics and the sciences. 'Understanding topology' aims to change that. The perfect introductory topology textbook, 'Understanding topology' requires only a knowledge of calculus and a general familiarity with set theory and logic. Equally approachable and rigorous, the book's clear organization, worked examples, and concise writing style support a thorough understanding of basic topological principles. Professor Shaun V. Ault's unique emphasis on fascinating applications, from chemical dynamics to determining the shape of the universe, will engage students in a way traditional topology textbooks do not"--Back cover.