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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)

    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.

    $50.31 $59.99
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  • Characteristic Classes. (AM-76), Volume 76 by John Milnor
    Characteristic Classes. (AM-76), Volume 76 (English, Paperback)

    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....

    $75.77
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  • The Shape of Space by Jeffrey R. Weeks
    The Shape of Space (English, Hardback)

    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.

    $38.67 $42.95
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  • Introduction to Topological Manifolds by John M. Lee
    Introduction to Topological Manifolds (English, Hardback)

    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.

    $54.95 $74.95
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  • Mathematical Gauge Theory by Mark J. D. Hamilton
    Mathematical Gauge Theory (English, Paperback)

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

    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.

    $57.68 $69.99
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  • Fundamentals of Algebraic Topology by Steven H. Weintraub
    Fundamentals of Algebraic Topology (English, Hardback)

    Fundamentals of Algebraic Topology

    $43.43 $69.99
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  • Geometric Group Theory by Clara Loeh
    Geometric Group Theory (English, Paperback)

    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.

    $39.64 $84.99
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  • Introduction to Geometry and Topology by Walker Stern
    Introduction to Geometry and Topology (English, Paperback)

    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...

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  • Mathematics and the Unexpected by Ivar Ekeland
    Mathematics and the Unexpected (English, Paperback)

    In this brief treatise, Ekelund explains some philosophical implications of recent mathematics. He examines randomness, the geometry involved in making predictions, and why general trends are easy to project, but particulars are practically impossible.

    $23.00
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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)

    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.

    $67.59 $79.99
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  • Foundations of Classical Electrodynamics by Friedrich W. Hehl
    Foundations of Classical Electrodynamics (English, Hardback)

    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)

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

    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).

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

    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.

    $79.12
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  • Metric Spaces of Non-Positive Curvature by Martin R. Bridson
    Metric Spaces of Non-Positive Curvature (English, Hardback)

    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.

    $117.96
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  • Fractal Geometry by Kenneth Falconer
    Fractal Geometry (English, Hardback)

    This comprehensive and popular textbook makes fractal geometry accessible to final-year undergraduate math or physics majors, while also serving as a reference for research mathematicians or scientists. This up-to-date edition covers introductory multifractal theory, random fractals, and modern applications in finance and science.

    $47.85 $55.00
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  • London Mathematical Society Student Texts: Dynamical Systems and Ergodic Theory Series Number 40 by Mark Pollicott
    London Mathematical Society Student Texts: Dynamical Systems and Ergodic Theory Series Number 40 (English, Paperback)

    This book is essentially a self-contained introduction to topological dynamics and ergodic theory. It is divided into a number of relatively short chapters with the intention that each may be used as a component of a lecture course tailored to the particular audience. Parts of the book are suitable for a final year undergraduate course or for a master's level course.

    $51.44 $57.99
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  • Representation Theory and Complex Geometry by Neil Chriss
    Representation Theory and Complex Geometry (English, Paperback)

    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.

    $109.99
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  • Vector Analysis by Klaus Janich
    Vector Analysis (English, Hardback)

    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.

    $74.99
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