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Topology eBooks

If you like Topology eBooks, then you'll love these top picks.
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  • Linked

    How Everything Is Connected to Everything Else and What It Means for Business, Science, and Everyday Life

    The best-selling guide to network science, the revolutionary field that reveals the deep links between all forms of human social lifeA cocktail party. A terrorist cell. Ancient bacteria. An international conglomerate. All are networks, and all are a part of a surprising scientific revolution. In Linked, Albert-László Barabási, the nation's foremost expert in the new science of networks, takes us ... Read more

    $17.99 CAD

  • The Cartoon Guide to Geometry

    by Larry Gonick ...
    A comprehensive new illustrated guide to geometry—from New York Times bestselling cartoonist Larry GonickWhat's the point of points? Where do we draw the line? If there are two sides to everything, then what's up with triangles, squares, and polygons?Once again, mathematician-turned-cartoonist Larry Gonick uses his unique gift for witty, lively, and clear exposition to demystify another complex ... Read more

    $16.99 CAD

  • Topology

    A Very Short Introduction

    by Richard Earl ...
    Series series Very Short Introductions
    How is a subway map different from other maps? What makes a knot knotted? What makes the Möbius strip one-sided? These are questions of topology, the mathematical study of properties preserved by twisting or stretching objects. In the 20th century topology became as broad and fundamental as algebra and geometry, with important implications for science, especially physics. In this Very Short ... Read more

    $11.99 CAD

  • Poincare's Prize

    The Hundred-Year Quest to Solve One of Math's Greatest Puzzles

    The amazing story of one of the greatest math problems of all time and the reclusive genius who solved itIn the tradition of Fermat’s Enigma and Prime Obsession, George Szpiro brings to life the giants of mathematics who struggled to prove a theorem for a century and the mysterious man from St. Petersburg, Grigory Perelman, who fi nally accomplished the impossible. In 1904 Henri Poincaré developed ... Read more

    Was $13.99 CAD Now $6.99 CAD

  • Electricity and Magnetism for Mathematicians

    A Guided Path from Maxwell's Equations to Yang–Mills

    This text is an introduction to some of the mathematical wonders of Maxwell's equations. These equations led to the prediction of radio waves, the realization that light is a type of electromagnetic wave, and the discovery of the special theory of relativity. In fact, almost all current descriptions of the fundamental laws of the universe can be viewed as deep generalizations of Maxwell's ... Read more

    $48.99 CAD

  • Euler's Gem

    The Polyhedron Formula and the Birth of Topology

    Series series Princeton Science Library
    How a simple equation reshaped mathematicsLeonhard Euler’s polyhedron formula describes the structure of many objects—from soccer balls and gemstones to Buckminster Fuller’s buildings and giant all-carbon molecules. Yet Euler’s theorem is so simple it can be explained to a child. From ancient Greek geometry to today’s cutting-edge research, Euler’s Gem celebrates the discovery of Euler’s beloved ... Read more

    $24.99 CAD

  • Indra's Pearls

    The Vision of Felix Klein

    Felix Klein, one of the great nineteenth-century geometers, discovered in mathematics an idea prefigured in Buddhist mythology: the heaven of Indra contained a net of pearls, each of which was reflected in its neighbour, so that the whole Universe was mirrored in each pearl. Klein studied infinitely repeated reflections and was led to forms with multiple coexisting symmetries. For a century, these ... Read more

    $47.99 CAD

  • Topological Obstructions to Stability and Stabilization

    History, Recent Advances and Open Problems

    Series series Intelligent Technologies and Robotics (R0)
    This open access book provides a unified overview of topological obstructions to the stability and stabilization of dynamical systems defined on manifolds and an overview that is self-contained and accessible to the control-oriented graduate student. The authors review the interplay between the topology of an attractor, its domain of attraction, and the underlying manifold that is supposed to ... Read more

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  • Geometrical Themes Inspired by the N-body Problem

    Series series Mathematics and Statistics (R0)
    Presenting a selection of recent developments in geometrical problems inspired by the N-body problem, these lecture notes offer a variety of approaches to study them, ranging from variational to dynamical, while developing new insights, making geometrical and topological detours, and providing historical references.A. Guillot’s notes aim to describe differential equations in the complex domain, ... Read more

    $44.99 CAD

  • Recent Advances in Hodge Theory

    Period Domains, Algebraic Cycles, and Arithmetic

    Edited by Matt Kerr, Gregory Pearlstein ...
    Series Book 427 - London Mathematical Society Lecture Note Series
    In its simplest form, Hodge theory is the study of periods – integrals of algebraic differential forms which arise in the study of complex geometry and moduli, number theory and physics. Organized around the basic concepts of variations of Hodge structure and period maps, this volume draws together new developments in deformation theory, mirror symmetry, Galois representations, iterated integrals, ... Read more

    $91.99 CAD

  • A Course in Mathematical Analysis: Volume 2, Metric and Topological Spaces, Functions of a Vector Variable

    The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and teachers. Volume 1 ... Read more

    $64.99 CAD

  • Geometry of Manifolds with Non-negative Sectional Curvature

    Editors: Rafael Herrera, Luis Hernández-Lamoneda

    Series series Mathematics and Statistics (R0)
    Providing an up-to-date overview of the geometry of manifolds with non-negative sectional curvature, this volume gives a detailed account of the most recent research in the area. The lectures cover a wide range of topics such as general isometric group actions, circle actions on positively curved four manifolds, cohomogeneity one actions on Alexandrov spaces, isometric torus actions on Riemannian ... Read more

    $47.99 CAD

  • Analysis on Polish Spaces and an Introduction to Optimal Transportation

    Series Book 89 - London Mathematical Society Student Texts
    A large part of mathematical analysis, both pure and applied, takes place on Polish spaces: topological spaces whose topology can be given by a complete metric. This analysis is not only simpler than in the general case, but, more crucially, contains many important special results. This book provides a detailed account of analysis and measure theory on Polish spaces, including results about spaces ... Read more

    $55.99 CAD

  • Algebraic Topology

    A Structural Introduction

    by Marco Grandis ...
    Algebraic Topology is a system and strategy of partial translations, aiming to reduce difficult topological problems to algebraic facts that can be more easily solved. The main subject of this book is singular homology, the simplest of these translations. Studying this theory and its applications, we also investigate its underlying structural layout - the topics of Homological Algebra, Homotopy ... Read more

    $42.99 CAD

  • Solving Problems In Geometry: Insights And Strategies For Mathematical Olympiad And Competitions

    Series Book 10 - Mathematical Olympiad Series
    'This book is a useful reference for faculty members involved in contest preparation or teaching Euclidean geometry at the college level.'MAA ReviewsThis new volume of the Mathematical Olympiad Series focuses on the topic of geometry. Basic and advanced theorems commonly seen in Mathematical Olympiad are introduced and illustrated with plenty of examples. Special techniques in solving various ... Read more

    $30.99 CAD

  • Math and Art

    An Introduction to Visual Mathematics

    Math and Art: An Introduction to Visual Mathematics explores the potential of mathematics to generate visually appealing objects and reveals some of the beauty of mathematics. It includes numerous illustrations, computer-generated graphics, photographs, and art reproductions to demonstrate how mathematics can inspire or generate art.Focusing on accessible, visually interesting, and mathematically ... Read more

    $133.99 CAD

  • Topics in Physical Mathematics

    Series series Mathematics and Statistics (R0)
    As many readers will know, the 20th century was a time when the fields of mathematics and the sciences were seen as two separate entities. Caused by the rapid growth of the physical sciences and an increasing abstraction in mathematical research, each party, physicists and mathematicians alike, suffered a misconception; not only of the opposition’s theoretical underpinning, but of how the two ... Read more

    $115.99 CAD

  • Set Theory

    With an Introduction to Real Point Sets

    Series series Mathematics and Statistics (R0)
    What is a number? What is infinity? What is continuity? What is order? Answers to these fundamental questions obtained by late nineteenth-century mathematicians such as Dedekind and Cantor gave birth to set theory. This textbook presents classical set theory in an intuitive but concrete manner.To allow flexibility of topic selection in courses, the book is organized into four relatively ... Read more

    $102.99 CAD

  • Geometric Algebra for Physicists

    Geometric algebra is a powerful mathematical language with applications across a range of subjects in physics and engineering. This book is a complete guide to the current state of the subject with early chapters providing a self-contained introduction to geometric algebra. Topics covered include new techniques for handling rotations in arbitrary dimensions, and the links between rotations, ... Read more

    $132.99 CAD

  • Introduction To Geometrical Physics, An (Second Edition)

    This book focuses on the unifying power of the geometrical language in bringing together concepts from many different areas of physics, ranging from classical physics to the theories describing the four fundamental interactions of Nature — gravitational, electromagnetic, strong nuclear, and weak nuclear.The book provides in a single volume a thorough introduction to topology and differential ... Read more

    $78.99 CAD

  • Geometry

    This richly illustrated and clearly written undergraduate textbook captures the excitement and beauty of geometry. The approach is that of Klein in his Erlangen programme: a geometry is a space together with a set of transformations of the space. The authors explore various geometries: affine, projective, inversive, hyperbolic and elliptic. In each case they carefully explain the key results and ... Read more

    $85.99 CAD

  • Perspectives in Analysis, Geometry, and Topology

    On the Occasion of the 60th Birthday of Oleg Viro

    Series series Mathematics and Statistics (R0)
    The contributions in this volume—dedicated to the work and mathematical interests of Oleg Viro on the occasion of his 60th birthday—are invited papers from the Marcus Wallenberg symposium and focus on research topics that bridge the gap among analysis, geometry, and topology. The encounters among these three fields are widespread and often provide impetus for major breakthroughs in applications ... Read more

    $167.99 CAD

  • Introduction to Compact Riemann Surfaces and Dessins d’Enfants

    Series Book 79 - London Mathematical Society Student Texts
    Few books on the subject of Riemann surfaces cover the relatively modern theory of dessins d'enfants (children's drawings), which was launched by Grothendieck in the 1980s and is now an active field of research. In this 2011 book, the authors begin with an elementary account of the theory of compact Riemann surfaces viewed as algebraic curves and as quotients of the hyperbolic plane by the action ... Read more

    $65.99 CAD

  • Lectures On Algebraic Topology

    Algebraic Topology and basic homotopy theory form a fundamental building block for much of modern mathematics. These lecture notes represent a culmination of many years of leading a two-semester course in this subject at MIT. The style is engaging and student-friendly, but precise. Every lecture is accompanied by exercises. It begins slowly in order to gather up students with a variety of ... Read more

    $51.99 CAD