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Analytic Topology books

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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.

    $47.98 $59.99
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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.

    $45.84
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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...

    $39.24 $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.

    $58.14 $74.95
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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.

    $81.37 $99.99
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  • Characteristic Classes. (AM-76), Volume 76 by John Milnor
    Characteristic Classes. (AM-76), Volume 76 (English, Paperback) John Milnor, James D. Stasheff

    The theory of characteristic classes provides a meeting ground for the various disciplines of differential topology, differential and algebraic geometry, cohomology, and fiber bundle theory. As such, it is a fundamental and an essential tool in the study of differentiable manifolds....

    $84.36
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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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  • 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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  • Geometric Group Theory by Clara Loeh
    Geometric Group Theory (English, Paperback) Clara Loeh

    Inspired by classical geometry, geometric group theory has in turn provided a variety of applications to geometry, topology, group theory, number theory and graph theory.

    $64.74 $84.99
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  • A Visual Introduction to Differential Forms and Calculus on Manifolds by Jon Pierre Fortney
    A Visual Introduction to Differential Forms and Calculus on Manifolds (English, Hardback) Jon Pierre Fortney

    With a clear writing style and easy-to- understand motivations for each topic, this book is primarily aimed at second- or third-year undergraduate math and physics students with a basic knowledge of vector calculus and linear algebra.

    $62.39 $79.99
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  • A Short Course in Computational Geometry and Topology by Herbert Edelsbrunner
    A Short Course in Computational Geometry and Topology (English, Paperback) Herbert Edelsbrunner

    In the first part the book covers Voronoi diagrams and Delaunay triangulations, then it presents the theory of alpha complexes which play a crucial role in biology. The central part of the book is the homology theory and their computation, including the theory of persistence which is indispensable for applications, e.g.

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  • Foundations of Classical Electrodynamics by Friedrich W. Hehl
    Foundations of Classical Electrodynamics (English, Hardback) Friedrich W. Hehl, Yuri N. Obukhov

    In this book we display the fundamental structure underlying classical electro- dynamics, i. We hope that our book can be seen in the classical tradition of the book by E.

    $89.99
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  • Introduction to Topological Manifolds by John Lee
    Introduction to Topological Manifolds (English, Paperback) John 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.

    $74.95
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  • Vector Analysis by Klaus Janich
    Vector Analysis (English, Hardback) Klaus Janich

    This book presents modern vector analysis and carefully describes the classical notation and understanding of the theory. It covers all of the classical vector analysis in Euclidean space, as well as on manifolds, and goes on to introduce de Rham Cohomology, Hodge theory, elementary differential geometry, and basic duality.

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  • Representation Theory and Complex Geometry by Neil Chriss
    Representation Theory and Complex Geometry (English, Paperback) Neil Chriss, Victor Ginzburg

    This volume provides an overview of modern advances in representation theory from a geometric standpoint. The techniques developed are quite general and can be applied to other areas such as quantum groups, affine Lie groups, and quantum field theory.

    $99.99
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  • On Thom Spectra, Orientability, and Cobordism by Yu B. Rudyak
    On Thom Spectra, Orientability, and Cobordism (English, Hardback) Yu B. Rudyak

    Rudyak's groundbreaking monograph is the first guide on the subject of cobordism since Stong's influential notes of a generation ago. It concentrates on Thom spaces (spectra), orientability theory and (co)bordism theory (including (co)bordism with singularities and, in particular, Morava K-theories).

    $179.99
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  • Metric Spaces of Non-Positive Curvature by Martin R. Bridson
    Metric Spaces of Non-Positive Curvature (English, Hardback) Martin R. Bridson, Andre Haefliger

    A description of the global properties of simply-connected spaces that are non-positively curved in the sense of A. Part I provides an introduction to the geometry of geodesic spaces, while Part II develops the basic theory of spaces with upper curvature bounds.

    $117.44
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  • An Introduction to Knot Theory by W.B.Raymond Lickorish
    An Introduction to Knot Theory (English, Hardback) W.B.Raymond Lickorish

    A selection of topics which graduate students have found to be a successful introduction to the field, employing three distinct techniques: geometric topology manoeuvres, combinatorics, and algebraic topology.

    $78.79
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  • Cambridge Tracts in Mathematics: The Geometry of Fractal Sets Series Number 85 by Kenneth J. Falconer
    Cambridge Tracts in Mathematics: The Geometry of Fractal Sets Series Number 85 (English, Paperback) Kenneth J. Falconer

    This book contains a rigorous mathematical treatment of the geometrical aspects of sets of both integral and fractional Hausdorff dimension. Questions of local density and the existence of tangents of such sets are studied, as well as the dimensional properties of their projections in various directions.

    $57.55 $64.99
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