Understanding Topology PDF Download
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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.
Author | : Tai-Danae Bradley |
Publisher | : MIT Press |
Total Pages | : 167 |
Release | : 2020-08-18 |
Genre | : Mathematics |
ISBN | : 0262359626 |
Download Topology Book in PDF, ePub and Kindle
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.
Author | : Matthew Skelton |
Publisher | : IT Revolution |
Total Pages | : 210 |
Release | : 2019-09-17 |
Genre | : Business & Economics |
ISBN | : 1942788827 |
Download Team Topologies Book in PDF, ePub and Kindle
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.
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 | : O. Ya. Viro, O. A. Ivanov, N. Yu. Netsvetaev, V. M. Kharlamov |
Publisher | : American Mathematical Soc. |
Total Pages | : 432 |
Release | : |
Genre | : Mathematics |
ISBN | : 9780821886250 |
Download Elementary Topology Book in PDF, ePub and Kindle
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.
Author | : Robert W. Ghrist |
Publisher | : Createspace Independent Publishing Platform |
Total Pages | : 0 |
Release | : 2014 |
Genre | : Mathematics |
ISBN | : 9781502880857 |
Download Elementary Applied Topology Book in PDF, ePub and Kindle
This book gives an introduction to the mathematics and applications comprising the new field of applied topology. The elements of this subject are surveyed in the context of applications drawn from the biological, economic, engineering, physical, and statistical sciences.
Author | : Theodore W. Gamelin |
Publisher | : Courier Corporation |
Total Pages | : 258 |
Release | : 2013-04-22 |
Genre | : Mathematics |
ISBN | : 0486320189 |
Download Introduction to Topology Book in PDF, ePub and Kindle
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 | : 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 | : L.Christine Kinsey |
Publisher | : Springer Science & Business Media |
Total Pages | : 290 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 1461208998 |
Download Topology of Surfaces Book in PDF, ePub and Kindle
" . . . that famous pedagogical method whereby one begins with the general and proceeds to the particular only after the student is too confused to understand even that anymore. " Michael Spivak This text was written as an antidote to topology courses such as Spivak It is meant to provide the student with an experience in geomet describes. ric topology. Traditionally, the only topology an undergraduate might see is point-set topology at a fairly abstract level. The next course the average stu dent would take would be a graduate course in algebraic topology, and such courses are commonly very homological in nature, providing quick access to current research, but not developing any intuition or geometric sense. I have tried in this text to provide the undergraduate with a pragmatic introduction to the field, including a sampling from point-set, geometric, and algebraic topology, and trying not to include anything that the student cannot immediately experience. The exercises are to be considered as an in tegral part of the text and, ideally, should be addressed when they are met, rather than at the end of a block of material. Many of them are quite easy and are intended to give the student practice working with the definitions and digesting the current topic before proceeding. The appendix provides a brief survey of the group theory needed.
Author | : Steven A. Gaal |
Publisher | : Courier Corporation |
Total Pages | : 338 |
Release | : 2009-04-23 |
Genre | : Mathematics |
ISBN | : 0486472221 |
Download Point Set Topology Book in PDF, ePub and Kindle
Suitable for a complete course in topology, this text also functions as a self-contained treatment for independent study. Additional enrichment materials make it equally valuable as a reference. 1964 edition.