Principles of Topology PDF Download
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Author: Fred H. Croom
Publisher: Courier Dover Publications
ISBN: 0486801543
Category : Mathematics
Languages : en
Pages : 340
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Book Description
Originally published: Philadelphia: Saunders College Publishing, 1989; slightly corrected.
Author: Fred H. Croom
Publisher: Courier Dover Publications
ISBN: 0486801543
Category : Mathematics
Languages : en
Pages : 340
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Book Description
Originally published: Philadelphia: Saunders College Publishing, 1989; slightly corrected.
Author: Robert A Conover
Publisher: Courier Corporation
ISBN: 0486780015
Category : Mathematics
Languages : en
Pages : 276
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Book Description
Students must prove all of the theorems in this undergraduate-level text, which features extensive outlines to assist in study and comprehension. Thorough and well-written, the treatment provides sufficient material for a one-year undergraduate course. The logical presentation anticipates students' questions, and complete definitions and expositions of topics relate new concepts to previously discussed subjects. Most of the material focuses on point-set topology with the exception of the last chapter. Topics include sets and functions, infinite sets and transfinite numbers, topological spaces and basic concepts, product spaces, connectivity, and compactness. Additional subjects include separation axioms, complete spaces, and homotopy and the fundamental group. Numerous hints and figures illuminate the text. Dover (2014) republication of the edition originally published by The Williams & Wilkins Company, Baltimore, 1975. See every Dover book in print at www.doverpublications.com
Author: Kurt Lewin
Publisher: Read Books Ltd
ISBN: 1446547132
Category : Psychology
Languages : en
Pages : 296
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Book Description
This antiquarian text contains a comprehensive treatise on topological psychology, being a detailed exposition of its principles written by Kurt Lewin. Written in clear, plain language and full of information fundamental to understanding this branch of psychology, this text will be of considerable utility to the student, and it would make for a great addition to collections of allied literature. The chapters of this book include: 'The Present State of Psychology', 'Formulation of Laws and Representations of General Situations', 'Considerations About Representing Life Space', 'Context and Extent of the Psychological Life Space', 'Causal Interconnections in Psychology', etcetera. We are republishing this vintage book now complete with a specially commissioned new biography of the author.
Author: Shaun V. Ault
Publisher: JHU Press
ISBN: 142142407X
Category : Mathematics
Languages : en
Pages : 410
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Book Description
"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.
Author: Steven G. Krantz
Publisher: CRC Press
ISBN: 1420089757
Category : Mathematics
Languages : en
Pages : 422
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Book Description
Brings Readers Up to Speed in This Important and Rapidly Growing AreaSupported by many examples in mathematics, physics, economics, engineering, and other disciplines, Essentials of Topology with Applications provides a clear, insightful, and thorough introduction to the basics of modern topology. It presents the traditional concepts of topological
Author: Albert Wilansky
Publisher: Courier Corporation
ISBN: 0486469034
Category : Mathematics
Languages : en
Pages : 399
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Book Description
Starting with the first principles of topology, this volume advances to general analysis. Three levels of examples and problems make it appropriate for students and professionals. Abundant exercises, ordered and numbered by degree of difficulty, illustrate important concepts, and a 40-page appendix includes tables of theorems and counterexamples. 1970 edition.
Author: Fred H. Croom
Publisher: Courier Dover Publications
ISBN: 0486810445
Category : Mathematics
Languages : en
Pages : 336
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Book Description
Topology is a natural, geometric, and intuitively appealing branch of mathematics that can be understood and appreciated by students as they begin their study of advanced mathematical topics. Designed for a one-semester introduction to topology at the undergraduate and beginning graduate levels, this text is accessible to students familiar with multivariable calculus. Rigorous but not abstract, the treatment emphasizes the geometric nature of the subject and the applications of topological ideas to geometry and mathematical analysis. Customary topics of point-set topology include metric spaces, general topological spaces, continuity, topological equivalence, basis, subbasis, connectedness, compactness, separation properties, metrization, subspaces, product spaces, and quotient spaces. In addition, the text introduces geometric, differential, and algebraic topology. Each chapter includes historical notes to put important developments into their historical framework. Exercises of varying degrees of difficulty form an essential part of the text.
Author: Michael Henle
Publisher: Courier Corporation
ISBN: 9780486679662
Category : Mathematics
Languages : en
Pages : 340
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Book Description
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: Marco Manetti
Publisher: Springer
ISBN: 3319169580
Category : Mathematics
Languages : en
Pages : 309
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Book Description
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.
Author: Matthew Skelton
Publisher: IT Revolution
ISBN: 1942788827
Category : Business & Economics
Languages : en
Pages : 208
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Book Description
Effective software teams are essential for any organization to deliver value continuously and sustainably. But how do you build the best team organization for your specific goals, culture, and needs? Team Topologies is a practical, step-by-step, adaptive model for organizational design and team interaction based on four fundamental team types and three team interaction patterns. It is a model that treats teams as the fundamental means of delivery, where team structures and communication pathways are able to evolve with technological and organizational maturity. In Team Topologies, IT consultants Matthew Skelton and Manuel Pais share secrets of successful team patterns and interactions to help readers choose and evolve the right team patterns for their organization, making sure to keep the software healthy and optimize value streams. Team Topologies is a major step forward in organizational design for software, presenting a well-defined way for teams to interact and interrelate that helps make the resulting software architecture clearer and more sustainable, turning inter-team problems into valuable signals for the self-steering organization.
