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Topology eBooks

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

    $7.99 AUD

  • 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-Lálórabá, the nation's foremost expert in the new science of networks, takes us on an ... Read more

    $27.99 AUD

  • An Introduction to Algebraic Topology

    Series series Dover Books on Mathematics
    This self-contained treatment of algebraic topology assumes only some knowledge of real numbers and real analysis. The first three chapters focus on the basics of point-set topology, offering background to students approaching the subject with no previous knowledge. Readers already familiar with point-set topology can proceed directly to Chapter 4, which examines the fundamental group as well as ... Read more

    $19.00 AUD or Free with Kobo Plus

  • Excursion In Diagrammatic Algebra, An: Turning A Sphere From Red To Blue

    Series Book 48 - Series On Knots And Everything
    The aim of this book is to give as detailed a description as is possible of one of the most beautiful and complicated examples in low-dimensional topology. This example is a gateway to a new idea of higher dimensional algebra in which diagrams replace algebraic expressions and relationships between diagrams represent algebraic relations. The reader may examine the changes in the illustrations in a ... Read more

    $60.99 AUD

  • 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

    $125.99 AUD

  • From Geometry to Topology

    Series series Dover Books on Mathematics
    This excellent introduction to topology eases first-year math students and general readers into the subject by surveying its concepts in a descriptive and intuitive way, attempting to build a bridge from the familiar concepts of geometry to the formalized study of topology. The first three chapters focus on congruence classes defined by transformations in real Euclidean space. As the number of ... Read more

    $23.40 AUD or Free with Kobo Plus

  • The Geometry of Physics

    An Introduction

    This book provides a working knowledge of those parts of exterior differential forms, differential geometry, algebraic and differential topology, Lie groups, vector bundles and Chern forms that are essential for a deeper understanding of both classical and modern physics and engineering. Included are discussions of analytical and fluid dynamics, electromagnetism (in flat and curved space), ... Read more

    $106.99 AUD

  • Lie Groups, Lie Algebras, and Representations

    An Elementary Introduction

    by Brian Hall ...
    Series Book 222 - Graduate Texts in Mathematics
    This textbook treats Lie groups, Lie algebras and their representations in an elementary but fully rigorous fashion requiring minimal prerequisites. In particular, the theory of matrix Lie groups and their Lie algebras is developed using only linear algebra, and more motivation and intuition for proofs is provided than in most classic texts on the subject.In addition to its accessible treatment of ... Read more

    $80.99 AUD

  • Introduction to Topology

    Second Edition

    Series series Dover Books on Mathematics
    One of the most important milestones in mathematics in the twentieth century was the development of topology as an independent field of study and the subsequent systematic application of topological ideas to other fields of mathematics.While there are many other works on introductory topology, this volume employs a methodology somewhat different from other texts. Metric space and point-set ... Read more

    $24.87 AUD or Free with Kobo Plus

  • The Theory of Spinors

    by Élie Cartan ...
    Series series Dover Books on Mathematics
    The French mathematician Élie Cartan (1869–1951) was one of the founders of the modern theory of Lie groups, a subject of central importance in mathematics and also one with many applications. In this volume, he describes the orthogonal groups, either with real or complex parameters including reflections, and also the related groups with indefinite metrics. He develops the theory of spinors (he ... Read more

    $21.93 AUD or Free with Kobo Plus

  • Advanced calculus I-1

    Metric spaces, topological spaces and sequences

    by Jyh Haur Teh ...
    Advanced calculus, or called mathematical analysis in some universities, is fundamental in mathematical training. It is a two-semester four-credit course in the mathematics department of National Tsing Hua University. This book stems from lecture notes for the classes of advanced calculus I that I taught several times. The goal of this book is to provide rigorous but easy to follow mathematical ... Read more

    $5.85 AUD

  • FLATLAND - A Romance of Many Dimensions (The Distinguished Chiron Edition)

    by Edwin Abbott ...
    This special edition is a distinguished vintage reproduction, of the 1884 satirical novella Flatland, by the English schoolmaster Edwin Abbott. Meticulously elaborated by the editorial team of Chiron Academic Press in collaboration with the renowned literature publisher Edition l'Aleph (www.l-aleph.com), this special edition, pays particular attention to the very authentic details of the editorial ... Read more

    $1.99 AUD

  • General Topology

    Series series Dover Books on Mathematics
    Among the best available reference introductions to general topology, this volume is appropriate for advanced undergraduate and beginning graduate students. Its treatment encompasses two broad areas of topology: "continuous topology," represented by sections on convergence, compactness, metrization and complete metric spaces, uniform spaces, and function spaces; and "geometric topology," covered ... Read more

    $27.88 AUD or Free with Kobo Plus

  • An Introduction to Smooth Manifolds

    Targeted to graduate students of mathematics, this book discusses major topics like the Lie group in the study of smooth manifolds. It is said that mathematics can be learned by solving problems and not only by just reading it. To serve this purpose, this book contains a sufficient number of examples and exercises after each section in every chapter. Some of the exercises are routine ones for the ... Read more

    $107.99 AUD

  • Geometric and Cohomological Group Theory

    Series Book 444 - London Mathematical Society Lecture Note Series
    This volume provides state-of-the-art accounts of exciting recent developments in the rapidly-expanding fields of geometric and cohomological group theory. The research articles and surveys collected here demonstrate connections to such diverse areas as geometric and low-dimensional topology, analysis, homological algebra and logic. Topics include various constructions of Thompson-like groups, ... Read more

    $93.99 AUD $45.99 AUD

  • 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

    $53.99 AUD

  • A Short Course in Differential Topology

    Series series Cambridge Mathematical Textbooks
    Manifolds are abound in mathematics and physics, and increasingly in cybernetics and visualization where they often reflect properties of complex systems and their configurations. Differential topology gives us the tools to study these spaces and extract information about the underlying systems. This book offers a concise and modern introduction to the core topics of differential topology for ... Read more

    $73.99 AUD

  • An Introduction to Compactness Results in Symplectic Field Theory

    by Casim Abbas ...
    This book provides an introduction to symplectic field theory, a new and important subject which is currently being developed. The starting point of this theory are compactness results for holomorphic curves established in the last decade. The author presents a systematic introduction providing a lot of background material, much of which is scattered throughout the literature. Since the content ... Read more

    $152.99 AUD

  • Nonabelian Multiplicative Integration On Surfaces

    Nonabelian multiplicative integration on curves is a classical theory. This volume is about the 2-dimensional case, which is much more difficult. In our construction, the setup is a Lie crossed module: there is a Lie group H, together with an action on it by another Lie group G. The multiplicative integral is an element of H, and it is the limit of Riemann products. Each Riemann product involves a ... Read more

    $37.99 AUD

  • Variational Inequalities and Frictional Contact Problems

    by Anca Capatina ...
    Series Book 31 - Advances in Mechanics and Mathematics
    Variational Inequalities and Frictional Contact Problems contains a carefully selected collection of results on elliptic and evolutionary quasi-variational inequalities including existence, uniqueness, regularity, dual formulations, numerical approximations and error estimates ones. By using a wide range of methods and arguments, the results are presented in a constructive way, with clarity and ... Read more

    $76.99 AUD

  • Sobolev Maps to the Circle

    From the Perspective of Analysis, Geometry, and Topology

    Series Book 96 - Progress in Nonlinear Differential Equations and Their Applications
    The theory of real-valued Sobolev functions is a classical part of analysis and has a wide range of applications in pure and applied mathematics. By contrast, the study of manifold-valued Sobolev maps is relatively new. The incentive to explore these spaces arose in the last forty years from geometry and physics. This monograph is the first to provide a unified, comprehensive treatment of Sobolev ... Read more

    $215.99 AUD

  • Tools for Infinite Dimensional Analysis

    Series series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    Over the past six decades, several extremely important fields in mathematics have been developed. Among these are Itôcalculus, Gaussian measures on Banach spaces, Malliavan calculus, and white noise distribution theory. These subjects have many applications, ranging from finance and economics to physics and biology.Unfortunately, the background information required to conduct research in these ... Read more

    $98.99 AUD

  • Coarse Geometry of Topological Groups

    Series Book 223 - Cambridge Tracts in Mathematics
    This book provides a general framework for doing geometric group theory for many non-locally-compact topological transformation groups that arise in mathematical practice, including homeomorphism and diffeomorphism groups of manifolds, isometry groups of separable metric spaces and automorphism groups of countable structures. Using Roe's framework of coarse structures and spaces, the author ... Read more

    $136.99 AUD

  • Algebraic Topology

    Intended for use both as a text and a reference, this book is an exposition of the fundamental ideas of algebraic topology. The first third of the book covers the fundamental group, its definition and its application in the study of covering spaces. The focus then turns to homology theory, including cohomology, cup products, cohomology operations, and topological manifolds. The remaining third of ... Read more

    $116.99 AUD