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

    $27.99 AUD

  • 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

  • Lie Groups, Lie Algebras, and Representations

    An Elementary Introduction

    by Brian Hall ...
    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 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

  • 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

    $117.99 AUD

  • 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

    $98.99 AUD

  • 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 (, this special edition, pays particular attention to the very authentic details of the editorial ... Read more

    $1.99 AUD

  • The Theory of Spinors

    by Élie Cartan ...
    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

  • General Topology

    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

  • From Geometry to Topology

    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

  • An Introduction to Algebraic Topology

    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

    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

  • Fractal Dimension for Fractal Structures

    With Applications to Finance

    Book 19 - SEMA SIMAI Springer Series
    This book provides a generalised approach to fractal dimension theory from the standpoint of asymmetric topology by employing the concept of a fractal structure. The fractal dimension is the main invariant of a fractal set, and provides useful information regarding the irregularities it presents when examined at a suitable level of detail. New theoretical models for calculating the fractal ... Read more

    $170.99 AUD $143.99 AUD

  • Topological Galois Theory

    Solvability and Unsolvability of Equations in Finite Terms

    series Springer Monographs in Mathematics
    This book provides a detailed and largely self-contained description of various classical and new results on solvability and unsolvability of equations in explicit form. In particular, it offers a complete exposition of the relatively new area of topological Galois theory, initiated by the author. Applications of Galois theory to solvability of algebraic equations by radicals, basics of Picard ... Read more

    $170.99 AUD

  • Adex Theory: How The Ade Coxeter Graphs Unify Mathematics And Physics

    Book 57 - Series On Knots And Everything
    This book shows how the ADE Coxeter graphs unify at least 20 different types of mathematical structures. These mathematical structures are of great utility in unified field theory, string theory, and other areas of physics. ... Read more

    $60.99 AUD

  • Asymptotically Safe Gravity

    From Spacetime Foliation to Cosmology

    series Springer Theses
    This book seeks to construct a consistent fundamental quantum theory of gravity, which is often considered one of the most challenging open problems in present-day physics. It approaches this challenge using modern functional renormalization group techniques, and attempts to realize the idea of “Asymptotic Safety” originally proposed by S. Weinberg. Quite remarkably, the book makes significant ... Read more

    $143.99 AUD

  • Eulerian Numbers

    series Birkhäuser Advanced Texts Basler Lehrbücher
    This text presents the Eulerian numbers in the context of modern enumerative, algebraic, and geometric combinatorics. The book first studies Eulerian numbers from a purely combinatorial point of view, then embarks on a tour of how these numbers arise in the study of hyperplane arrangements, polytopes, and simplicial complexes. Some topics include a thorough discussion of gamma-nonnegativity and ... Read more

    $76.99 AUD

  • Topology and Geometry for Physicists

    series Dover Books on Mathematics
    Differential geometry and topology are essential tools for many theoretical physicists, particularly in the study of condensed matter physics, gravity, and particle physics. Written by physicists for physics students, this text introduces geometrical and topological methods in theoretical physics and applied mathematics. It assumes no detailed background in topology or geometry, and it emphasizes ... Read more

    $21.93 AUD or Free with Kobo Plus

  • Foliations 2012 - Proceedings Of The International Conference

    This volume is a compilation of new results and surveys on the current state of some aspects of the foliation theory presented during the conference “FOLIATIONS 2012”. It contains recent materials on foliation theory which is related to differential geometry, the theory of dynamical systems and differential topology. Both the original research and survey articles found in here should inspire ... Read more

    $72.99 AUD

  • A1-Algebraic Topology over a Field

    by Fabien Morel ...
    Book 2052 - Lecture Notes in Mathematics
    This text deals with A1-homotopy theory over a base field, i.e., with the natural homotopy theory associated to the category of smooth varieties over a field in which the affine line is imposed to be contractible. It is a natural sequel to the foundational paper on A1-homotopy theory written together with V. Voevodsky. Inspired by classical results in algebraic topology, we present new techniques, ... Read more

    $81.99 AUD

  • Random Walks and Diffusions on Graphs and Databases

    An Introduction

    Book 10 - Springer Series in Synergetics
    Most networks and databases that humans have to deal with contain large, albeit finite number of units. Their structure, for maintaining functional consistency of the components, is essentially not random and calls for a precise quantitative description of relations between nodes (or data units) and all network components. This book is an introduction, for both graduate students and newcomers to ... Read more

    $125.99 AUD

  • Advances in Structural and Multidisciplinary Optimization

    Proceedings of the 12th World Congress of Structural and Multidisciplinary Optimization (WCSMO12)

    The volume includes papers from the WSCMO conference in Braunschweig 2017 presenting research of all aspects of the optimal design of structures as well as multidisciplinary design optimization where the involved disciplines deal with the analysis of solids, fluids or other field problems. Also presented are practical applications of optimization methods and the corresponding software development ... Read more

    $863.99 AUD

  • From Differential Geometry to Non-commutative Geometry and Topology

    This book aims to provide a friendly introduction to non-commutative geometry. It studies index theory from a classical differential geometry perspective up to the point where classical differential geometry methods become insufficient. It then presents non-commutative geometry as a natural continuation of classical differential geometry. It thereby aims to provide a natural link between classical ... Read more

    $188.99 AUD