Essential Topology

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Essential Topology

Author : Martin D. Crossley
Publisher : Springer Science & Business Media
ISBN 13 : 9781852337827
Total Pages : 244 pages
Book Rating : 4.3/5 (378 download)

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Book Synopsis Essential Topology by : Martin D. Crossley

Download or read book Essential Topology written by Martin D. Crossley and published by Springer Science & Business Media. This book was released on 2011-02-11 with total page 244 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings the most important aspects of modern topology within reach of a second-year undergraduate student. It successfully unites the most exciting aspects of modern topology with those that are most useful for research, leaving readers prepared and motivated for further study. Written from a thoroughly modern perspective, every topic is introduced with an explanation of why it is being studied, and a huge number of examples provide further motivation. The book is ideal for self-study and assumes only a familiarity with the notion of continuity and basic algebra.

Essential Topology

Author : Martin D. Crossley
Publisher : Springer Science & Business Media
ISBN 13 : 1846281946
Total Pages : 231 pages
Book Rating : 4.8/5 (462 download)

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Book Synopsis Essential Topology by : Martin D. Crossley

Download or read book Essential Topology written by Martin D. Crossley and published by Springer Science & Business Media. This book was released on 2006-02-02 with total page 231 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book brings the most important aspects of modern topology within reach of a second-year undergraduate student. It successfully unites the most exciting aspects of modern topology with those that are most useful for research, leaving readers prepared and motivated for further study. Written from a thoroughly modern perspective, every topic is introduced with an explanation of why it is being studied, and a huge number of examples provide further motivation. The book is ideal for self-study and assumes only a familiarity with the notion of continuity and basic algebra.

Basic Topology

Author : M.A. Armstrong
Publisher : Springer Science & Business Media
ISBN 13 : 1475717938
Total Pages : 260 pages
Book Rating : 4.4/5 (757 download)

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Book Synopsis Basic Topology by : M.A. Armstrong

Download or read book Basic Topology written by M.A. Armstrong and published by Springer Science & Business Media. This book was released on 2013-04-09 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this broad introduction to topology, the author searches for topological invariants of spaces, together with techniques for their calculating. Students with knowledge of real analysis, elementary group theory, and linear algebra will quickly become familiar with a wide variety of techniques and applications involving point-set, geometric, and algebraic topology. Over 139 illustrations and more than 350 problems of various difficulties help students gain a thorough understanding of the subject.

Basic Topology

Author : M. A. Armstrong
Publisher :
ISBN 13 : 9781475717945
Total Pages : 272 pages
Book Rating : 4.7/5 (179 download)

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Book Synopsis Basic Topology by : M. A. Armstrong

Download or read book Basic Topology written by M. A. Armstrong and published by . This book was released on 2014-01-15 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Essentials of Topology with Applications

Author : Steven G. Krantz
Publisher : CRC Press
ISBN 13 : 1420089757
Total Pages : 422 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Essentials of Topology with Applications by : Steven G. Krantz

Download or read book Essentials of Topology with Applications written by Steven G. Krantz and published by CRC Press. This book was released on 2009-07-28 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Essential Mathematics for Undergraduates

Author : Simon G. Chiossi
Publisher : Springer Nature
ISBN 13 : 3030871746
Total Pages : 495 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Essential Mathematics for Undergraduates by : Simon G. Chiossi

Download or read book Essential Mathematics for Undergraduates written by Simon G. Chiossi and published by Springer Nature. This book was released on 2022-02-16 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook covers topics of undergraduate mathematics in abstract algebra, geometry, topology and analysis with the purpose of connecting the underpinning key ideas. It guides STEM students towards developing knowledge and skills to enrich their scientific education. In doing so it avoids the common mechanical approach to problem-solving based on the repetitive application of dry formulas. The presentation preserves the mathematical rigour throughout and still stays accessible to undergraduates. The didactical focus is threaded through the assortment of subjects and reflects in the book’s structure. Part 1 introduces the mathematical language and its rules together with the basic building blocks. Part 2 discusses the number systems of common practice, while the backgrounds needed to solve equations and inequalities are developed in Part 3. Part 4 breaks down the traditional, outdated barriers between areas, exploring in particular the interplay between algebra and geometry. Two appendices form Part 5: the Greek etymology of frequent terms and a list of mathematicians mentioned in the book. Abundant examples and exercises are disseminated along the text to boost the learning process and allow for independent work. Students will find invaluable material to shepherd them through the first years of an undergraduate course, or to complement previously learnt subject matters. Teachers may pick’n’mix the contents for planning lecture courses or supplementing their classes.

Understanding Topology

Author : Shaun V. Ault
Publisher : JHU Press
ISBN 13 : 142142407X
Total Pages : 410 pages
Book Rating : 4.4/5 (214 download)

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Book Synopsis Understanding Topology by : Shaun V. Ault

Download or read book Understanding Topology written by Shaun V. Ault and published by JHU Press. This book was released on 2018-01-30 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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.

A Basic Course in Algebraic Topology

Author : William S. Massey
Publisher : Springer
ISBN 13 : 1493990632
Total Pages : 448 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis A Basic Course in Algebraic Topology by : William S. Massey

Download or read book A Basic Course in Algebraic Topology written by William S. Massey and published by Springer. This book was released on 2019-06-28 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook is intended for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of compact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory. These topics are developed systematically, avoiding all unnecessary definitions, terminology, and technical machinery. The text consists of material from the first five chapters of the author's earlier book, Algebraic Topology; an Introduction (GTM 56) together with almost all of his book, Singular Homology Theory (GTM 70). The material from the two earlier books has been substantially revised, corrected, and brought up to date.

Basic Concepts of Algebraic Topology

Author : F.H. Croom
Publisher : Springer Science & Business Media
ISBN 13 : 1468494759
Total Pages : 187 pages
Book Rating : 4.4/5 (684 download)

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Book Synopsis Basic Concepts of Algebraic Topology by : F.H. Croom

Download or read book Basic Concepts of Algebraic Topology written by F.H. Croom and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 187 pages. Available in PDF, EPUB and Kindle. Book excerpt: This text is intended as a one semester introduction to algebraic topology at the undergraduate and beginning graduate levels. Basically, it covers simplicial homology theory, the fundamental group, covering spaces, the higher homotopy groups and introductory singular homology theory. The text follows a broad historical outline and uses the proofs of the discoverers of the important theorems when this is consistent with the elementary level of the course. This method of presentation is intended to reduce the abstract nature of algebraic topology to a level that is palatable for the beginning student and to provide motivation and cohesion that are often lacking in abstact treatments. The text emphasizes the geometric approach to algebraic topology and attempts to show the importance of topological concepts by applying them to problems of geometry and analysis. The prerequisites for this course are calculus at the sophomore level, a one semester introduction to the theory of groups, a one semester introduc tion to point-set topology and some familiarity with vector spaces. Outlines of the prerequisite material can be found in the appendices at the end of the text. It is suggested that the reader not spend time initially working on the appendices, but rather that he read from the beginning of the text, referring to the appendices as his memory needs refreshing. The text is designed for use by college juniors of normal intelligence and does not require "mathematical maturity" beyond the junior level.

Basic Topology 3

Author : Mahima Ranjan Adhikari
Publisher : Springer Nature
ISBN 13 : 9811665508
Total Pages : 488 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Basic Topology 3 by : Mahima Ranjan Adhikari

Download or read book Basic Topology 3 written by Mahima Ranjan Adhikari and published by Springer Nature. This book was released on 2023-03-15 with total page 488 pages. Available in PDF, EPUB and Kindle. Book excerpt: This third of the three-volume book is targeted as a basic course in algebraic topology and topology for fiber bundles for undergraduate and graduate students of mathematics. It focuses on many variants of topology and its applications in modern analysis, geometry, and algebra. Topics covered in this volume include homotopy theory, homology and cohomology theories, homotopy theory of fiber bundles, Euler characteristic, and the Betti number. It also includes certain classic problems such as the Jordan curve theorem along with the discussions on higher homotopy groups and establishes links between homotopy and homology theories, axiomatic approach to homology and cohomology as inaugurated by Eilenberg and Steenrod. It includes more material than is comfortably covered by beginner students in a one-semester course. Students of advanced courses will also find the book useful. This book will promote the scope, power and active learning of the subject, all the while covering a wide range of theory and applications in a balanced unified way.

Team Topologies

Author : Matthew Skelton
Publisher : IT Revolution
ISBN 13 : 1942788827
Total Pages : 210 pages
Book Rating : 4.9/5 (427 download)

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Book Synopsis Team Topologies by : Matthew Skelton

Download or read book Team Topologies written by Matthew Skelton and published by IT Revolution. This book was released on 2019-09-17 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Principles of Topology

Author : Fred H. Croom
Publisher : Courier Dover Publications
ISBN 13 : 0486801543
Total Pages : 340 pages
Book Rating : 4.4/5 (868 download)

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Book Synopsis Principles of Topology by : Fred H. Croom

Download or read book Principles of Topology written by Fred H. Croom and published by Courier Dover Publications. This book was released on 2016-02-17 with total page 340 pages. Available in PDF, EPUB and Kindle. Book excerpt: Originally published: Philadelphia: Saunders College Publishing, 1989; slightly corrected.

General Topology I

Author : A.V. Arkhangel'skii
Publisher : Springer Science & Business Media
ISBN 13 : 3642612652
Total Pages : 210 pages
Book Rating : 4.6/5 (426 download)

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Book Synopsis General Topology I by : A.V. Arkhangel'skii

Download or read book General Topology I written by A.V. Arkhangel'skii and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 210 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the first of the encyclopaedia volumes devoted to general topology. It has two parts. The first outlines the basic concepts and constructions of general topology, including several topics which have not previously been covered in English language texts. The second part presents a survey of dimension theory, from the very beginnings to the most important recent developments. The principal ideas and methods are treated in detail, and the main results are provided with sketches of proofs. The authors have suceeded admirably in the difficult task of writing a book which will not only be accessible to the general scientist and the undergraduate, but will also appeal to the professional mathematician. The authors' efforts to detail the relationship between more specialized topics and the central themes of topology give the book a broad scholarly appeal which far transcends narrow disciplinary lines.

Analytic Topology

Author : Gordon Thomas Whyburn
Publisher : American Mathematical Soc.
ISBN 13 : 0821810286
Total Pages : 295 pages
Book Rating : 4.8/5 (218 download)

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Book Synopsis Analytic Topology by : Gordon Thomas Whyburn

Download or read book Analytic Topology written by Gordon Thomas Whyburn and published by American Mathematical Soc.. This book was released on 1963 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: "The material here presented represents an elaboration on my Colloquium Lectures delivered before the American Mathematical Society at its September, 1940 meeting at Dartmouth College." - Preface.

A Taste of Topology

Author : Volker Runde
Publisher : Springer Science & Business Media
ISBN 13 : 9780387257907
Total Pages : 196 pages
Book Rating : 4.2/5 (579 download)

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Book Synopsis A Taste of Topology by : Volker Runde

Download or read book A Taste of Topology written by Volker Runde and published by Springer Science & Business Media. This book was released on 2007-12-07 with total page 196 pages. Available in PDF, EPUB and Kindle. Book excerpt: This should be a revelation for mathematics undergraduates. Having evolved from Runde’s notes for an introductory topology course at the University of Alberta, this essential text provides a concise introduction to set-theoretic topology, as well as some algebraic topology. It is accessible to undergraduates from the second year on, and even beginning graduate students can benefit from some sections. The well-chosen selection of examples is accessible to students who have a background in calculus and elementary algebra, but not necessarily in real or complex analysis. In places, Runde’s text treats its material differently to other books on the subject, providing a fresh perspective.

Basic Algebraic Topology and its Applications

Author : Mahima Ranjan Adhikari
Publisher : Springer
ISBN 13 : 813222843X
Total Pages : 628 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Basic Algebraic Topology and its Applications by : Mahima Ranjan Adhikari

Download or read book Basic Algebraic Topology and its Applications written by Mahima Ranjan Adhikari and published by Springer. This book was released on 2016-09-16 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides an accessible introduction to algebraic topology, a field at the intersection of topology, geometry and algebra, together with its applications. Moreover, it covers several related topics that are in fact important in the overall scheme of algebraic topology. Comprising eighteen chapters and two appendices, the book integrates various concepts of algebraic topology, supported by examples, exercises, applications and historical notes. Primarily intended as a textbook, the book offers a valuable resource for undergraduate, postgraduate and advanced mathematics students alike. Focusing more on the geometric than on algebraic aspects of the subject, as well as its natural development, the book conveys the basic language of modern algebraic topology by exploring homotopy, homology and cohomology theories, and examines a variety of spaces: spheres, projective spaces, classical groups and their quotient spaces, function spaces, polyhedra, topological groups, Lie groups and cell complexes, etc. The book studies a variety of maps, which are continuous functions between spaces. It also reveals the importance of algebraic topology in contemporary mathematics, theoretical physics, computer science, chemistry, economics, and the biological and medical sciences, and encourages students to engage in further study.

Basic Topology 1

Author : Avishek Adhikari
Publisher : Springer Nature
ISBN 13 : 9811665095
Total Pages : 523 pages
Book Rating : 4.8/5 (116 download)

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Book Synopsis Basic Topology 1 by : Avishek Adhikari

Download or read book Basic Topology 1 written by Avishek Adhikari and published by Springer Nature. This book was released on 2022-07-04 with total page 523 pages. Available in PDF, EPUB and Kindle. Book excerpt: This first of the three-volume book is targeted as a basic course in topology for undergraduate and graduate students of mathematics. It studies metric spaces and general topology. It starts with the concept of the metric which is an abstraction of distance in the Euclidean space. The special structure of a metric space induces a topology that leads to many applications of topology in modern analysis and modern algebra, as shown in this volume. This volume also studies topological properties such as compactness and connectedness. Considering the importance of compactness in mathematics, this study covers the Stone–Cech compactification and Alexandroff one-point compactification. This volume also includes the Urysohn lemma, Urysohn metrization theorem, Tietz extension theorem, and Gelfand–Kolmogoroff theorem. The content of this volume is spread into eight chapters of which the last chapter conveys the history of metric spaces and the history of the emergence of the concepts leading to the development of topology as a subject with their motivations with an emphasis on general topology. It includes more material than is comfortably covered by beginner students in a one-semester course. Students of advanced courses will also find the book useful. This book will promote the scope, power, and active learning of the subject, all the while covering a wide range of theories and applications in a balanced unified way.