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Topology books

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  • Introduction to Smooth Manifolds by John M. Lee
    Introduction to Smooth Manifolds (English, Hardback) John M. Lee

    Familiarizes students with the tools they need to use manifolds in mathematical or scientific research - smooth structures, tangent vectors and covectors, vector bundles, immersed and embedded submanifolds, tensors, differential forms, de Rham cohomology, vector fields, flows, foliations, Lie derivatives, Lie groups, Lie algebras, and more.

    $83.30 $99.00
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  • An Introduction to Manifolds by Loring W. Tu
    An Introduction to Manifolds (English, Paperback) Loring W. Tu

    An Introduction to Manifolds presents the theory of manifolds with the aim of helping the reader achieve a rapid mastery of the essential topics. By the end of the book, the reader will have the ability to compute one of the most basic topological invariants of a manifold, its de Rham cohomology.

    $56.14 $59.99
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  • Categories for the Working Mathematician by Saunders Mac Lane
    Categories for the Working Mathematician (English, Hardback) Saunders Mac Lane

    This second edition includes a number of revisions and additions, including new chapters on topics of active interest: symmetric monoidal categories and braided monoidal categories, and the coherence theorems for them, as well as 2-categories and the higher dimensional categories which have recently come into prominence.

    $62.52 $74.95
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  • Differential Forms in Algebraic Topology by Raoul Bott
    Differential Forms in Algebraic Topology (English, Hardback) Raoul Bott, Loring W. Tu

    Developed from a first-year graduate course in algebraic topology, this text is an informal introduction to some of the main ideas of contemporary homotopy and cohomology theory. The materials are structured around four core areas: de Rham theory, the Cech-de Rham complex, spectral sequences, and characteristic classes.

    $64.05 $74.95
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  • The Geometry of Art and Life by Matila Ghyka
    The Geometry of Art and Life (English, Paperback) Matila Ghyka

    This classic study probes the geometric interrelationships between art and life in dissertations by Plato, Pythagoras, and Archimedes and examples of modern architecture and art. 80 plates and 64 figures.

    $13.27
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  • The Shape of Space by Jeffrey R. Weeks
    The Shape of Space (English, Hardback) Jeffrey R. Weeks

    Covers the basic geometry of two and three-dimensional spaces. This work includes experiments to determine the true shape of the universe and contains illustrated examples and exercises that teach mind-expanding ideas. It explains how radiation remaining from the big bang may reveal the actual shape of the universe.

    $49.51
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  • Introduction to Geometry and Topology by Walker Stern
    Introduction to Geometry and Topology (English, Paperback) Werner Ballmann

    This book provides an introduction to topology, differential topology, and differential geometry. It is based on manuscripts refined through use in a variety of lecture courses. The first chapter covers elementary results and concepts from point-set topology. An exception is the Jordan Curve Theorem, which is proved for polygonal paths and is intended to give students a first glimpse into the...

    $45.52 $49.99
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  • Introduction to Topological Manifolds by John M. Lee
    Introduction to Topological Manifolds (English, Hardback) John M. Lee

    Extensively revised and updated, this volume provides an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas involved with further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields.

    $64.18 $74.95
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  • Introduction to Topology by Bert Mendelson
    Introduction to Topology (English, Paperback) Bert Mendelson

    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.

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  • Quantum Theory, Groups and Representations by Peter Woit
    Quantum Theory, Groups and Representations (English, Hardback) Peter Woit

    The level of presentation is attractive to mathematics students looking to learn about both quantum mechanics and representation theory, while also appealing to physics students who would like to know more about the mathematics underlying the subject.

    $80.99 $89.99
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  • Mathematical Gauge Theory by Mark J. D. Hamilton
    Mathematical Gauge Theory (English, Paperback) Mark J. D. Hamilton

    This book explains the mathematical background behind the Standard Model, translating ideas from physics into a mathematical language and vice versa. The first part of the book covers the mathematical theory of Lie groups and Lie algebras, fibre bundles, connections, curvature and spinors.

    $90.32 $99.99
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  • Hex by Ryan B. Hayward
    Hex (English, Paperback) Ryan B. Hayward, Bjarne Toft

    History and mathematics of a game invented in 1942.

    $41.57
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  • Cambridge Texts in Applied Mathematics: Singularities: Formation, Structure, and Propagation Series Number 53 by J. Eggers
    Cambridge Texts in Applied Mathematics: Singularities: Formation, Structure, and Propagation Series Number 53 (English, Paperback) J. Eggers, M. A. Fontelos

    Many natural phenomena are described as singularities, for example, the formation of drops and bubbles, or the motion of cracks. Aimed at a broad audience of students and researchers in mathematics, physics and engineering, this book provides mathematical tools for understanding all aspects of singularities.

    $60.66 $64.99
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  • New Mathematical Monographs: Homotopy Theory of Higher Categories: From Segal Categories to n-Categories and Beyond Series Number 19 by Carlos Simpson
    New Mathematical Monographs: Homotopy Theory of Higher Categories: From Segal Categories to n-Categories and Beyond Series Number 19 (English, Hardback) Carlos Simpson

    The study of higher categories is attracting growing interest for its many applications in topology, algebraic geometry, mathematical physics and category theory. Following an extensive discussion of many current approaches, Carlos Simpson explains the first concrete and workable theory of n-categories in detail.

    $82.52 $87.00
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  • Morse Theory. (AM-51), Volume 51 by John Milnor
    Morse Theory. (AM-51), Volume 51 (English, Paperback) John Milnor

    One classical application of Morse theory includes the attempt to understand, with only limited information, the large-scale structure of an object. This kind of problem occurs in mathematical physics, dynamic systems, and mechanical engineering. This book offers an exposition of Morse theory by John Milnor, recipient of the Fields Medal in 1962.

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  • Topology from the Differentiable Viewpoint by John Willard Milnor
    Topology from the Differentiable Viewpoint (English, Paperback) John Willard Milnor

    Provides a clear introduction to one of the important subjects in modern mathematics. Beginning with basic concepts such as diffeomorphisms and smooth manifolds, this book goes on to examine tangent spaces, oriented manifolds, and vector fields. It discusses concepts such as homotopy, the index number of a map, and the Pontryagin construction.

    $39.25
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  • Understanding Topology by Shaun V. Ault
    Understanding Topology (English, Hardback) Shaun V. Ault

    Topology?the branch of mathematics that studies the properties of spaces that remain unaffected by stretching and other distortions?can present significant challenges for undergraduate students of mathematics and the sciences. Understanding Topology aims to change that....

    $89.58 $99.95
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  • A First Course in Differential Geometry by Lyndon Woodward
    A First Course in Differential Geometry (English, Paperback) Lyndon Woodward, John Bolton

    This textbook covers the classical topics of differential geometry of surfaces as studied by Gauss: the definition and geometric meaning of Gaussian curvature, the Theorema Egregium, geodesics, and the Gauss-Bonnet Theorem. It is suitable for upper-level undergraduates and contains plentiful examples and exercises, with solutions to selected problems.

    $40.75
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  • Monomial Ideals and Their Decompositions by W. Frank Moore
    Monomial Ideals and Their Decompositions (English, Paperback) W. Frank Moore, Mark Rogers

    This textbook on combinatorial commutative algebra focuses on properties of monomial ideals in polynomial rings and their connections with other areas of mathematics such as combinatorics, electrical engineering, topology, geometry, and homological algebra.

    $46.21 $49.99
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  • Introduction to Metric and Topological Spaces by Wilson A. Sutherland
    Introduction to Metric and Topological Spaces (English, Paperback) Wilson A. Sutherland

    This fully updated new edition of Wilson Sutherland's classic text, Introduction to Metric and Topological Spaces, establishes the language of metric and topological spaces with continuity as the motivating concept, before developing its discussion to cover compactness, connectedness, and completeness.

    $32.39 $40.95
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