Essential Topology
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Author |
: Martin D. Crossley |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 244 |
Release |
: 2011-02-11 |
ISBN-10 |
: 1852337826 |
ISBN-13 |
: 9781852337827 |
Rating |
: 4/5 (26 Downloads) |
Synopsis Essential Topology by : Martin D. Crossley
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.
Author |
: Martin D. Crossley |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 231 |
Release |
: 2006-02-02 |
ISBN-10 |
: 9781846281945 |
ISBN-13 |
: 1846281946 |
Rating |
: 4/5 (45 Downloads) |
Synopsis Essential Topology by : Martin D. Crossley
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.
Author |
: M.A. Armstrong |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 260 |
Release |
: 2013-04-09 |
ISBN-10 |
: 9781475717938 |
ISBN-13 |
: 1475717938 |
Rating |
: 4/5 (38 Downloads) |
Synopsis Basic Topology by : M.A. Armstrong
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.
Author |
: M. A. Armstrong |
Publisher |
: |
Total Pages |
: 272 |
Release |
: 2014-01-15 |
ISBN-10 |
: 1475717946 |
ISBN-13 |
: 9781475717945 |
Rating |
: 4/5 (46 Downloads) |
Synopsis Basic Topology by : M. A. Armstrong
Author |
: Steven G. Krantz |
Publisher |
: CRC Press |
Total Pages |
: 422 |
Release |
: 2009-07-28 |
ISBN-10 |
: 9781420089752 |
ISBN-13 |
: 1420089757 |
Rating |
: 4/5 (52 Downloads) |
Synopsis Essentials of Topology with Applications by : Steven G. Krantz
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 |
: Simon G. Chiossi |
Publisher |
: Springer Nature |
Total Pages |
: 495 |
Release |
: 2022-02-16 |
ISBN-10 |
: 9783030871741 |
ISBN-13 |
: 3030871746 |
Rating |
: 4/5 (41 Downloads) |
Synopsis Essential Mathematics for Undergraduates by : Simon G. Chiossi
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.
Author |
: John M. Lee |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 395 |
Release |
: 2006-04-06 |
ISBN-10 |
: 9780387227276 |
ISBN-13 |
: 038722727X |
Rating |
: 4/5 (76 Downloads) |
Synopsis Introduction to Topological Manifolds by : John M. Lee
Manifolds play an important role in topology, geometry, complex analysis, algebra, and classical mechanics. Learning manifolds differs from most other introductory mathematics in that the subject matter is often completely unfamiliar. This introduction guides readers by explaining the roles manifolds play in diverse branches of mathematics and physics. The book begins with the basics of general topology and gently moves to manifolds, the fundamental group, and covering spaces.
Author |
: William S. Massey |
Publisher |
: Springer |
Total Pages |
: 448 |
Release |
: 2019-06-28 |
ISBN-10 |
: 9781493990634 |
ISBN-13 |
: 1493990632 |
Rating |
: 4/5 (34 Downloads) |
Synopsis A Basic Course in Algebraic Topology by : William S. Massey
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.
Author |
: Shaun V. Ault |
Publisher |
: JHU Press |
Total Pages |
: 410 |
Release |
: 2018-01-30 |
ISBN-10 |
: 9781421424071 |
ISBN-13 |
: 142142407X |
Rating |
: 4/5 (71 Downloads) |
Synopsis Understanding Topology by : Shaun V. Ault
"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 |
: S.P. Novikov |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 500 |
Release |
: 2013-03-14 |
ISBN-10 |
: 9789401578950 |
ISBN-13 |
: 9401578958 |
Rating |
: 4/5 (50 Downloads) |
Synopsis Basic Elements of Differential Geometry and Topology by : S.P. Novikov
One service mathematics has rendered the 'Et moi ..., si j'avait su comment en revenir, je n'y serais point aile.' human race. It has put common sense back Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded n- sense'. The series is divergent; therefore we may be able to do something with it. Eric T. Bell O. Heaviside Matht"natics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics seNe as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series