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  • Introduction to Smooth Manifolds

    Introduction to Smooth Manifolds
    av John Lee

    Inbunden - 2012 - Engelska - ISBN: 9781441999818

    This book is an introductory graduate-level textbook on the theory of smooth manifolds. Its goal is to familiarize students with the tools they will need in order to use manifolds in mathematical or scientific research--- smooth structures, tangent…

  • Algebraic Topology

    Algebraic Topology
    av Allen Hatcher

    Häftad - 2001 - Engelska - ISBN: 9780521795401

    An introductory textbook suitable for use in a course or for self-study, featuring broad coverage of the subject and a readable exposition, with many examples and exercises.

  • From Calculus to Cohomology

    From Calculus to Cohomology
    av Ib H. Madsen

    Häftad - 1997 - Engelska - ISBN: 9780521589567

    De Rham cohomology is the cohomology of differential forms. This book offers a self-contained exposition to this subject and to the theory of characteristic classes from the curvature point of view. It requires no prior knowledge of the concepts of…

  • Geometry, Topology and Physics

    Geometry, Topology and Physics
    av Mikio Nakahara

    Häftad - 2003 - Engelska - ISBN: 9780750306065

    Differential geometry and topology have become essential tools for many theoretical physicists. In particular, they are indispensable in theoretical studies of condensed matter physics, gravity, and particle physics. Geometry, Topology and Physics,…

  • Undergraduate Topology

    Undergraduate Topology
    av Aisling McCluskey

    Häftad - 2014 - Engelska - ISBN: 9780198702344

    This textbook offers an accessible, modern introduction at undergraduate level to an area known variously as general topology, point-set topology or analytic topology with a particular focus on helping students to build theory for themselves. It is…

  • Undergraduate Topology

    Undergraduate Topology
    av Aisling McCluskey

    Inbunden - 2014 - Engelska - ISBN: 9780198702337

    This textbook offers an accessible, modern introduction at undergraduate level to an area known variously as general topology, point-set topology or analytic topology with a particular focus on helping students to build theory for themselves. It is…

  • Introduction to Topology

    Introduction to Topology
    av T.W. Gamelin

    Häftad - 1999 - Engelska - ISBN: 9780486406800

    The formation of topology as an independent field of study and the subsequent systematic application of topological ideas to other fields of mathematics represent one of the most important developments in 20th-century mathematics. This text takes a…

  • Differential Forms

    Differential Forms
    av Victor Guillemin

    Häftad - 2019 - Engelska - ISBN: 9789811213779

    'Guillemin and HaineaEURO (TM)s goal is to construct a well-documented road map that extends undergraduate understanding of multivariable calculus into the theory of differential forms. Throughout, the authors emphasize connections between different…

  • Differential Forms

    Differential Forms
    av Victor Guillemin

    Inbunden - 2019 - Engelska - ISBN: 9789813272774

    'Guillemin and HaineaEURO (TM)s goal is to construct a well-documented road map that extends undergraduate understanding of multivariable calculus into the theory of differential forms. Throughout, the authors emphasize connections between different…

  • Indra's Pearls

    Indra's Pearls
    av David Mumford

    Häftad - 2015 - Engelska - ISBN: 9781107564749

    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 w…

  • A First Course in Differential Geometry

    A First Course in Differential Geometry
    av Lyndon Woodward

    Inbunden - 2018 - Engelska - ISBN: 9781108424936

    Differential geometry is the study of curved spaces using the techniques of calculus. It is a mainstay of undergraduate mathematics education and a cornerstone of modern geometry. It is also the language used by Einstein to express general relativit…

  • A First Course in Differential Geometry

    A First Course in Differential Geometry
    av Lyndon Woodward

    Häftad - 2018 - Engelska - ISBN: 9781108441025

    Differential geometry is the study of curved spaces using the techniques of calculus. It is a mainstay of undergraduate mathematics education and a cornerstone of modern geometry. It is also the language used by Einstein to express general relativit…

  • Dual Models

    Dual Models
    av Magnus J. Wenninger

    Häftad - 2003 - Engelska - ISBN: 9780521543255

    In Dual Models, written in the same enthusiastic style as its predecessors Polyhedron Models and Spherical Models, Magnus J. Wenninger presents the complete set of uniform duals of uniform polyhedral, thus rounding out a significant body of knowledg…

  • Essential Topology

    Essential Topology
    av Martin D. Crossley

    Häftad - 2005 - Engelska - ISBN: 9781852337827

    This book brings the most important aspects of modern topology within reach of a second-year undergraduate student. It successfully unites the most exciting aspects of modern topology with those that are most useful for research, leaving readers pre…

  • Introduction to Symplectic Topology

    Introduction to Symplectic Topology
    av Dusa McDuff

    Häftad - 2017 - Engelska - ISBN: 9780198794905

    Over the last number of years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, including several striking and important results. The first edition of Introduction to Symple…

  • Introduction to Symplectic Topology

    Introduction to Symplectic Topology
    av Dusa McDuff

    Inbunden - 2016 - Engelska - ISBN: 9780198794899

    Over the last number of years powerful new methods in analysis and topology have led to the development of the modern global theory of symplectic topology, including several striking and important results. The first edition of Introduction to Symple…

  • Essential Real Analysis

    Essential Real Analysis
    av Michael Field

    Häftad - 2017 - Engelska - ISBN: 9783319675459

    This book provides a rigorous introduction to the techniques and results of real analysis, metric spaces and multivariate differentiation, suitable for undergraduate courses.Starting from the very foundations of analysis, it offers a complete first…

  • Introduction to Mechanics and Symmetry

    Introduction to Mechanics and Symmetry
    av Jerrold E. Marsden

    Häftad - 2010 - Engelska - ISBN: 9781441931436

    A development of the basic theory and applications of mechanics with an emphasis on the role of symmetry. The book includes numerous specific applications, making it beneficial to physicists and engineers. Specific examples and applications show how…

  • The Topology of Stiefel Manifolds

    The Topology of Stiefel Manifolds
    av I. M. James

    Häftad - 1977 - Engelska - ISBN: 9780521213349

    Stiefel manifolds are an interesting family of spaces much studied by algebraic topologists. These notes, which originated in a course given at Harvard University, describe the state of knowledge of the subject, as well as the outstanding problems.…

  • Introduction to Topological Manifolds

    Introduction to Topological Manifolds
    av John Lee

    Inbunden - 2010 - Engelska - ISBN: 9781441979391

    This book is an introduction to manifolds at the beginning graduate level, and accessible to any student who has completed a solid undergraduate degree in mathematics. It contains the essential topological ideas that are needed for the further study…

  • Introduction to Topology

    Introduction to Topology
    av Bert Mendelson

    Häftad - 2019 - Engelska - ISBN: 9781684119264

    Highly regarded for its exceptional clarity, imaginative and instructive exercises, and fine writing style, this concise book offers an ideal introduction to the fundamentals of topology. Originally conceived as a text for a one-semester course, it…

  • Topology: A Very Short Introduction

    Topology: A Very Short Introduction
    av Richard Earl

    Häftad - 2019 - Engelska - ISBN: 9780198832683

    How is a subway map different from other maps? What makes a knot knotted? What makes the Moebius strip one-sided? These are questions of topology, the mathematical study of properties preserved by twisting or stretching objects. In the 20th century…

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

    Solving Problems In Geometry: Insights And Strategies For Mathematical Olympiad And Competitions
    av Kim Hoo Hang

    Häftad - 2017 - Engelska - ISBN: 9789814583749

    '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 adva…

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

    Solving Problems In Geometry: Insights And Strategies For Mathematical Olympiad And Competitions
    av Kim Hoo Hang

    Inbunden - 2017 - Engelska - ISBN: 9789814590723

    '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 adva…

  • Euler's Gem

    Euler's Gem
    av David S. Richeson

    Häftad - 2012 - Engelska - ISBN: 9780691154572

    Leonhard 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 formula is so simple it can be explained to a child. Euler's G…

  • Euler's Gem

    Euler's Gem
    av David S. Richeson

    Häftad - 2019 - Engelska - ISBN: 9780691191379

    How a simple equation reshaped mathematics Leonhard 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…

  • An Invitation to Computational Homotopy

    An Invitation to Computational Homotopy
    av Graham Ellis

    Häftad - 2019 - Engelska - ISBN: 9780198832980

    An Invitation to Computational Homotopy is an introduction to elementary algebraic topology for those with an interest in computers and computer programming. It expertly illustrates how the basics of the subject can be implemented on a computer thro…

  • An Invitation to Computational Homotopy

    An Invitation to Computational Homotopy
    av Graham Ellis

    Inbunden - 2019 - Engelska - ISBN: 9780198832973

    An Invitation to Computational Homotopy is an introduction to elementary algebraic topology for those with an interest in computers and computer programming. It expertly illustrates how the basics of the subject can be implemented on a computer thro…

  • Geometric and Topological Inference

    Geometric and Topological Inference
    av Jean-Daniel Boissonnat

    Häftad - 2018 - Engelska - ISBN: 9781108410892

    Geometric and topological inference deals with the retrieval of information about a geometric object using only a finite set of possibly noisy sample points. It has connections to manifold learning and provides the mathematical and algorithmic found…

  • Geometric and Topological Inference

    Geometric and Topological Inference
    av Jean-Daniel Boissonnat

    Inbunden - 2018 - Engelska - ISBN: 9781108419390

    Geometric and topological inference deals with the retrieval of information about a geometric object using only a finite set of possibly noisy sample points. It has connections to manifold learning and provides the mathematical and algorithmic found…

  • Algebraic Geometry and Arithmetic Curves

    Algebraic Geometry and Arithmetic Curves
    av Qing Liu

    Häftad - 2006 - Engelska - ISBN: 9780199202492

    This new-in-paperback edition provides a general introduction to algebraic and arithmetic geometry, starting with the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves.The first par…

  • Algebraic Geometry and Arithmetic Curves

    Algebraic Geometry and Arithmetic Curves
    av Qing Liu

    Inbunden - 2002 - Engelska - ISBN: 9780198502845

    This book is a general introduction to the theory of schemes, followed by applications to arithmetic surfaces and to the theory of reduction of algebraic curves. The first part introduces basic objects such as schemes, morphisms, base change, local…

  • Homotopical Topology

    Homotopical Topology
    av Anatoly Fomenko

    Inbunden - 2016 - Engelska - ISBN: 9783319234878

    This textbook on algebraic topology updates a popular textbook from the golden era of the Moscow school of I. M. Gelfand. The first English translation, done many decades ago, remains very much in demand, although it has been long out-of-print and i…

  • Measure, Topology, and Fractal Geometry

    Measure, Topology, and Fractal Geometry
    av Gerald Edgar

    Häftad - 2010 - Engelska - ISBN: 9781441925695

    Based on a course given to talented high-school students at Ohio University in 1988, this book is essentially an advanced undergraduate textbook about the mathematics of fractal geometry. It nicely bridges the gap between traditional books on topolo…

  • General Topology

    General Topology
    av N. Bourbaki

    Häftad - 1998 - Engelska - ISBN: 9783540642411

    This is the softcover reprint of the 1971 English translation of the first four chapters of Bourbaki's Topologie Generale. It gives all basics of the subject, starting from definitions. Important classes of topological spaces are studied, and unifor…

  • A Course in Point Set Topology

    A Course in Point Set Topology
    av John B. Conway

    Häftad - 2016 - Engelska - ISBN: 9783319348346

    This textbook in point set topology is aimed at an upper-undergraduate audience. Its gentle pace will be useful to students who are still learning to write proofs. Prerequisites include calculus and at least one semester of analysis, where the stude…

  • Foundations of Topology

    Foundations of Topology
    av C. Wayne Patty

    Inbunden - 2008 - Engelska - ISBN: 9780763742348

    Topology is a branch of pure mathematics that deals with the abstract relationships found in geometry and analysis. Written with the mature student in mind, Foundations of Topology, Second Edition, provides a user-friendly, clear, and concise introd…

  • A First Course in Topology

    A First Course in Topology
    av Robert Conover

    Häftad - 2014 - Engelska - ISBN: 9780486780016

    Students must prove all of the theorems in this undergraduate-level text, which features extensive outlines to assist in study and comprehension. Thorough and well-written, the treatment provides sufficient material for a one-year undergraduate cour…

  • Fractals and Chaos

    Fractals and Chaos
    av Benoit Mandelbrot

    Inbunden - 2004 - Engelska - ISBN: 9780387201580

    Just 23 years ago Benoit Mandelbrot published his famous picture of the Mandelbrot set, but that picture has changed our view of the mathematical and physical universe. In this text, Mandelbrot offers 25 papers from the past 25 years, many related t…

  • Elementary Point-Set Topology: A Transition to Advanced Mathematics

    Elementary Point-Set Topology: A Transition to Advanced Mathematics
    av Andre Yandl

    Häftad - 2016 - Engelska - ISBN: 9780486803494

    In addition to serving as an introduction to the basics of point-set topology, this text bridges the gap between the elementary calculus sequence and higher-level mathematics courses. The versatile, original approach focuses on learning to read and…

  • Topology Illustrated

    Topology Illustrated
    av Peter Saveliev

    Inbunden - 2016 - Engelska - ISBN: 9781495188756

  • Topology Illustrated

    Topology Illustrated
    av Peter Saveliev

    Häftad - 2016 - Engelska - ISBN: 9781087803463

  • Elements of Noncommutative Geometry

    Elements of Noncommutative Geometry
    av Jose M. Gracia-Bondia

    Häftad - 2013 - Engelska - ISBN: 9781461265696

    Our purpose and main concern in writing this book is to illuminate classical concepts from the noncommutative viewpoint, to make the language and techniques of noncommutative geometry accessible and familiar to practi- tioners of classical mathemati…

  • Foundations of Modern Probability

    Foundations of Modern Probability
    av Olav Kallenberg

    Inbunden - 2002 - Engelska - ISBN: 9780387953137

    The first edition of this single volume on the theory of probability has become a highly-praised standard reference for many areas of probability theory. Chapters from the first edition have been revised and corrected, and this edition contains four…

  • Topology Optimization

    Topology Optimization
    av Martin Philip Bendsoe

    Häftad - 2011 - Engelska - ISBN: 9783642076985

    The topology optimization method solves the basic enginee- ring problem of distributing a limited amount of material in a design space. The first edition of this book has become the standard text on optimal design which is concerned with the optimiz…

  • Principles of Topology

    Principles of Topology
    av Fred H. Croom

    Häftad - 2016 - Engelska - ISBN: 9780486801544

    Topology is a natural, geometric, and intuitively appealing branch of mathematics that can be understood and appreciated by students as they begin their study of advanced mathematical topics. Designed for a one-semester introduction to topology at t…

  • A Visual Introduction to Differential Forms and Calculus on Manifolds

    A Visual Introduction to Differential Forms and Calculus on Manifolds
    av Jon Pierre Fortney

    Inbunden - 2018 - Engelska - ISBN: 9783319969916

    This book explains and helps readers to develop geometric intuition as it relates to differential forms. It includes over 250 figures to aid understanding and enable readers to visualize the concepts being discussed. The author gradually builds up t…

  • Topology: Pearson New International Edition

    Topology: Pearson New International Edition
    av James Munkres

    Pocket - 2013 - Engelska - ISBN: 9781292023625

  • Higher-dimensional Generalized Manifolds

    Higher-dimensional Generalized Manifolds
    av Alberto Cavicchioli, Friedrich Hegenbarth, Dusan Repovs

    Pocket - 2016 - Engelska - ISBN: 9783037191569

  • Homological Algebra (PMS-19), Volume 19

    Homological Algebra (PMS-19), Volume 19
    av Henry Cartan

    Häftad - 1999 - Engelska - ISBN: 9780691049915

    When this book was written, methods of algebraic topology had caused revolutions in the world of pure algebra. To clarify the advances that had been made, Cartan and Eilenberg tried to unify the fields and to construct the framework of a fully fledg…

  • Topology and Geometry

    Topology and Geometry
    av Glen E. Bredon

    Inbunden - 1993 - Engelska - ISBN: 9780387979267

    This book offers an introductory course in algebraic topology. Starting with general topology, it discusses differentiable manifolds, cohomology, products and duality, the fundamental group, homology theory, and homotopy theory. From the reviews: "A…

  • The Elements of Cantor Sets

    The Elements of Cantor Sets
    av Robert W. Vallin

    Inbunden - 2013 - Engelska - ISBN: 9781118405710

    A systematic and integrated approach to Cantor Sets and their applications to various branches of mathematics The Elements of Cantor Sets: With Applications features a thorough introduction to Cantor Sets and applies these sets as a bridge between r…

  • A First Course in Algebraic Topology

    A First Course in Algebraic Topology
    av B.K. Lahiri

    Inbunden - 2005 - Engelska - ISBN: 9781842652268

    "A First Course in Algebraic Topology" starts with the basic notions of category, functors and homotopy of continuous mappings including relative homotopy. Fundamental groups of circles and torus have been treated along with the fundamental group of…

  • Algebraic Invariants Of Links

    Algebraic Invariants Of Links
    av Jonathan Hillman

    Inbunden - 2002 - Engelska - ISBN: 9789812381545

    This book is intended as a reference on links and on the invariants derived via algebraic topology from covering spaces of link exteriors. It emphasizes features of the multicomponent case not normally considered by knot theorists, such as longitude…

  • Families of Automorphic Forms and the Trace Formula

    Families of Automorphic Forms and the Trace Formula

    Häftad - 2018 - Engelska - ISBN: 9783319823508

    Featuring the work of twenty-three internationally-recognized experts, this volume explores the trace formula, spectra of locally symmetric spaces, p-adic families, and other recent techniques from harmonic analysis and representation theory. Each p…

  • Foliations and Geometric Structures

    Foliations and Geometric Structures
    av Aurel Bejancu

    Häftad - 2010 - Engelska - ISBN: 9789048169412

    The theory of foliations of manifolds was created in the forties of the last century by Ch. Ehresmann and G. Reeb [ER44]. Since then, the subject has enjoyed a rapid development and thousands of papers investigating foliations have appeared. A list…

  • Category Theory, Homology Theory and Their Applications. Proceedings of the Conference Held at the Seattle Research Center of the Battelle Memorial Institute, June 24 - July 19, 1968

    Category Theory, Homology Theory and Their Applications. Proceedings of the Conference Held at the Seattle Research Center of the Battelle Memorial Institute, June 24 - July 19, 1968

    Häftad - 1969 - Engelska - ISBN: 9783540046110

  • Topology of 4-manifolds

    Topology of 4-manifolds
    av Michael H. Freedman, Frank Quinn, Michael H. Freedman

    Inbunden - 2016 - Engelska - ISBN: 9780691632346

    One of the great achievements of contemporary mathematics is the new understanding of four dimensions. Michael Freedman and Frank Quinn have been the principals in the geometric and topological development of this subject, proving the Poincar and An…

  • Low-Dimensional and Symplectic Topology

    Low-Dimensional and Symplectic Topology

    Inbunden - 2011 - Engelska - ISBN: 9780821852354

    Every eight years since 1961, the University of Georgia has hosted a major international topology conference aimed at disseminating important recent results and bringing together researchers at different stages of their careers. This volume contains…

  • Topology-based Methods in Visualization

    Topology-based Methods in Visualization

    Häftad - 2010 - Engelska - ISBN: 9783642089770

    This book presents 13 peer-reviewed papers as written results from the 2005 workshop "Topology-Based Methods in Visualization" that was initiated to enable additional stimulation in this field. It contains a survey of the state-of-the-art, as well o…