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A Guide to Topology

A Guide to Topology
Author: Steven G. Krantz
Publisher: MAA
Total Pages: 128
Release: 2009-09-24
Genre: Mathematics
ISBN: 9780883853467

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A Guide to Topology is an introduction to basic topology for graduate or advanced undergraduate students. It covers point-set topology, Moore-Smith convergence and function spaces. It treats continuity, compactness, the separation axioms, connectedness, completeness, the relative topology, the quotient topology, the product topology, and all the other fundamental ideas of the subject. The book is filled with examples and illustrations. Students studying for exams will find this book to be a concise, focused and informative resource. Professional mathematicians who need a quick review of the subject, or need a place to look up a key fact, will find this book to be a useful resource too.


Algebraic Topology

Algebraic Topology
Author: J. F. Adams
Publisher: Cambridge University Press
Total Pages: 309
Release: 1972-04-27
Genre: Mathematics
ISBN: 0521080762

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This set of notes, for graduate students who are specializing in algebraic topology, adopts a novel approach to the teaching of the subject. It begins with a survey of the most beneficial areas for study, with recommendations regarding the best written accounts of each topic. Because a number of the sources are rather inaccessible to students, the second part of the book comprises a collection of some of these classic expositions, from journals, lecture notes, theses and conference proceedings. They are connected by short explanatory passages written by Professor Adams, whose own contributions to this branch of mathematics are represented in the reprinted articles.


A User's Guide to Algebraic Topology

A User's Guide to Algebraic Topology
Author: C. T. J. Dodson
Publisher: Springer Science & Business Media
Total Pages: 428
Release: 1997-01-31
Genre: Mathematics
ISBN: 9780792342939

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This book arose from courses taught by the authors, and is designed for both instructional and reference use during and after a first course in algebraic topology. It is a handbook for users who want to calculate, but whose main interests are in applications using the current literature, rather than in developing the theory. Typical areas of applications are differential geometry and theoretical physics. We start gently, with numerous pictures to illustrate the fundamental ideas and constructions in homotopy theory that are needed in later chapters. We show how to calculate homotopy groups, homology groups and cohomology rings of most of the major theories, exact homotopy sequences of fibrations, some important spectral sequences, and all the obstructions that we can compute from these. Our approach is to mix illustrative examples with those proofs that actually develop transferable calculational aids. We give extensive appendices with notes on background material, extensive tables of data, and a thorough index. Audience: Graduate students and professionals in mathematics and physics.


A Guide to Topology

A Guide to Topology
Author: Steven G. Krantz
Publisher: American Mathematical Soc.
Total Pages: 107
Release: 2009-12-31
Genre: Mathematics
ISBN: 0883859173

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A concise introduction to topology to ground students in the basic ideas and techniques of the subject.


Introduction to Topology

Introduction to Topology
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.


Topology for Beginners - Solution Guide

Topology for Beginners - Solution Guide
Author: Steve Warner
Publisher:
Total Pages: 142
Release: 2019-11-13
Genre: Mathematics
ISBN: 9781951619039

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Topology for Beginners - Solution GuideThis book contains complete solutions to the problems in the 16 Problem Sets in Topology for Beginners. Note that this book references examples and theorems from Topology for Beginners. Therefore, it is strongly suggested that you purchase a copy of that book before purchasing this one.


Topology

Topology
Author: Tai-Danae Bradley
Publisher: MIT Press
Total Pages: 167
Release: 2020-08-18
Genre: Mathematics
ISBN: 0262359626

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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.


Point Set Topology

Point Set Topology
Author: Steven A. Gaal
Publisher: Courier Corporation
Total Pages: 338
Release: 2009-04-23
Genre: Mathematics
ISBN: 0486472221

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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.


Topology Problem Solver

Topology Problem Solver
Author:
Publisher: Research & Education Assoc.
Total Pages: 750
Release:
Genre:
ISBN: 9780738670683

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Team Topologies

Team Topologies
Author: Matthew Skelton
Publisher: IT Revolution
Total Pages: 210
Release: 2019-09-17
Genre: Business & Economics
ISBN: 1942788827

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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.