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Algebraic Topology books

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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.

    $57.89 $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.

    $58.76 $74.95
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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.

    $57.76 $74.95
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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.

    $70.53 $87.00
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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.

    $40.14 $49.99
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  • K-Theory by Max Karoubi
    K-Theory (English, Paperback) Max Karoubi

    however, we assume that the reader is familiar with the basic definitions of homotopy theory: homotopy classes of maps and homotopy groups.Thus this book might be regarded as a fairly self-contained introduction to a "generalized cohomology theory".

    $54.45 $69.99
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  • Higher Topos Theory (AM-170) by Jacob Lurie
    Higher Topos Theory (AM-170) (English, Paperback) Jacob Lurie

    Higher category theory is generally regarded as technical and forbidding, but part of it is considerably more tractable: the theory of infinity-categories, higher categories in which all higher morphisms are assumed to be invertible. This title presents the foundations of this theory.

    $77.28 $91.60
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  • Knots and Primes by Masanori Morishita
    Knots and Primes (English, Paperback) Masanori Morishita

    This book offers a foundation for arithmetic topology, a new branch of mathematics focused upon the analogy between knot theory and number theory. The coverage includes background information and theory, along with numerous useful examples and illustrations.

    $50.63 $59.99
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  • A Cp-Theory Problem Book by Vladimir V. Tkachuk
    A Cp-Theory Problem Book (English, Hardback) Vladimir V. Tkachuk

    This third volume in Vladimir Tkachuk's series on Cp-theory problems applies all modern methods of Cp-theory to study compactness-like properties in function spaces and introduces the reader to the theory of compact spaces widely used in Functional Analysis.

    $77.75 $89.99
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  • Morse Theory and Floer Homology by Michele Audin
    Morse Theory and Floer Homology (English, Paperback) Michele Audin, Mihai Damian

    Based on a graduate course, this introduction to modern methods of symplectic topology explains the solution of an important problem originating from classical mechanics: the 'Arnold conjecture'. Presents building blocks of Floer homology and more.

    $72.44 $84.99
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  • New Mathematical Monographs: Global Homotopy Theory Series Number 34 by Stefan Schwede
    New Mathematical Monographs: Global Homotopy Theory Series Number 34 (English, Hardback) Stefan Schwede

    Global equivariant homotopy theory is presented in this self-contained book, ideal for graduate students and researchers in algebraic topology. It is a comprehensive research monograph at the forefront of current research, written by a leading expert. The book's many examples and sample calculations make it suitable for an advanced graduate class.

    $145.84 $195.00
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  • Integrable Systems by N. J. Hitchin
    Integrable Systems (English, Paperback) N. J. Hitchin, G. B. Segal

    Designed to give graduate students an understanding of integrable systems via the study of Riemann surfaces, loop groups, and twistors, this book has its origins in a lecture series given by the internationally renowned authors. Written in an accessible, informal style, it fills a gap in the existing literature.

    $42.32 $44.95
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  • Fundamentals of Algebraic Topology by Steven H. Weintraub
    Fundamentals of Algebraic Topology (English, Hardback) Steven H. Weintraub

    Fundamentals of Algebraic Topology

    $53.01 $69.99
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  • K-Theory for Group C*-Algebras and Semigroup C*-Algebras by Joachim J. R. Cuntz
    K-Theory for Group C*-Algebras and Semigroup C*-Algebras (English, Paperback) Joachim J. R. Cuntz, Siegfried Echterhoff

    This book gives an account of the necessary background for group algebras and crossed products for actions of a group or a semigroup on a space and reports on some very recently developed techniques with applications to particular examples.

    $39.13 $49.99
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  • Cambridge Studies in Advanced Mathematics: Formal Geometry and Bordism Operations Series Number 177 by Eric Peterson
    Cambridge Studies in Advanced Mathematics: Formal Geometry and Bordism Operations Series Number 177 (English, Hardback) Eric Peterson

    This is the first book to provide a broad, conceptual introduction to the field of chromatic homotopy, an active area of current research. It will be useful for graduate students interested in modern developments in algebraic topology and their links to other fields, including algebraic geometry and mathematical physics.

    $82.37 $89.99
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  • A Primer on Hilbert Space Theory by Carlo Alabiso
    A Primer on Hilbert Space Theory (English, Hardback) Carlo Alabiso, Ittay Weiss

    This introduction to Hilbert space will equip the reader for more demanding further study. It builds a pedagogic bridge between the rigorous style of mathematics and the more practical perspective of physicists.

    $53.28 $69.99
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  • Cambridge Mathematical Textbooks: Introduction to Experimental Mathematics by Soren Eilers
    Cambridge Mathematical Textbooks: Introduction to Experimental Mathematics (English, Hardback) Soren Eilers, Rune Johansen

    A recent surge in computer-based experimental approaches to pure mathematics is revolutionizing the way research mathematicians work. As the first of its kind, this textbook provides students with an introduction to the ends and means of experimental mathematics using the popular computer algebra system Maple.

    $38.98 $59.99
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  • Algebraic Geometry and Arithmetic Curves by Qing Liu
    Algebraic Geometry and Arithmetic Curves (English, Paperback) Qing Liu

    This new-in-paperback edition provides an introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. Clear explanations of both theory and applications, and almost 600 exercises are included in the text.

    $67.32 $85.00
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  • Homotopical Topology by Anatoly Fomenko
    Homotopical Topology (English, Hardback) Anatoly Fomenko, Dmitry Fuchs

    This textbook on algebraic topology updates a popular textbook from the golden era of the Moscow school of I. a deeper and broader treatment of topics in comparison to most beginning books on algebraic topology;

    $85.29 $89.99
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  • Sheaves in Geometry and Logic by Saunders MacLane
    Sheaves in Geometry and Logic (English, Paperback) Saunders MacLane, Ieke Moerdijk

    Sheaves also appear in logic as carriers for models of set theory. Beginning with several examples, it explains the underlying ideas of topology and sheaf theory as well as the general theory of elementary toposes and geometric morphisms and their relation to logic.

    $84.99
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