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  • Introduction to Topology and Geometry

    Collections series Pure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts
    An easily accessible introduction to over three centuries of innovations in geometryPraise for the First Edition“. . . a welcome alternative to compartmentalized treatments bound to the old thinking. This clearly written, well-illustrated book supplies sufficient background to be self-contained.” —CHOICEThis fully revised new edition offers the most comprehensive coverage of modern geometry ... En savoir plus

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  • Geometry from a Differentiable Viewpoint

    par John McCleary ...
    The development of geometry from Euclid to Euler to Lobachevsky, Bolyai, Gauss and Riemann is a story that is often broken into parts – axiomatic geometry, non-Euclidean geometry and differential geometry. This poses a problem for undergraduates: Which part is geometry? What is the big picture to which these parts belong? In this introduction to differential geometry, the parts are united with all ... En savoir plus

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  • Dense Sphere Packings

    A Blueprint for Formal Proofs

    par Thomas Hales ...
    Collections Livre 400 - London Mathematical Society Lecture Note Series
    The 400-year-old Kepler conjecture asserts that no packing of congruent balls in three dimensions can have a density exceeding the familiar pyramid-shaped cannonball arrangement. In this book, a new proof of the conjecture is presented that makes it accessible for the first time to a broad mathematical audience. The book also presents solutions to other previously unresolved conjectures in ... En savoir plus

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  • Symplectic Topology and Floer Homology: Volume 2, Floer Homology and its Applications

    par Yong-Geun Oh ...
    Collections Livre 29 - New Mathematical Monographs
    Published in two volumes, this is the first book to provide a thorough and systematic explanation of symplectic topology, and the analytical details and techniques used in applying the machinery arising from Floer theory as a whole. Volume 2 provides a comprehensive introduction to both Hamiltonian Floer theory and Lagrangian Floer theory, including many examples of their applications to various ... En savoir plus

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  • Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

    par Stefan Witzel ...
    Collections series Mathematics and Statistics (R0)
    Providing an accessible approach to a special case of the Rank Theorem, the present text considers the exact finiteness properties of S-arithmetic subgroups of split reductive groups in positive characteristic when S contains only two places. While the proof of the general Rank Theorem uses an involved reduction theory due to Harder, by imposing the restrictions that the group is split and that S ... En savoir plus

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  • A First Course in Computational Algebraic Geometry

    Collections series AIMS Library of Mathematical Sciences
    A First Course in Computational Algebraic Geometry is designed for young students with some background in algebra who wish to perform their first experiments in computational geometry. Originating from a course taught at the African Institute for Mathematical Sciences, the book gives a compact presentation of the basic theory, with particular emphasis on explicit computational examples using the ... En savoir plus

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  • Hyperbolic Manifolds

    An Introduction in 2 and 3 Dimensions

    par Albert Marden ...
    Over the past three decades there has been a total revolution in the classic branch of mathematics called 3-dimensional topology, namely the discovery that most solid 3-dimensional shapes are hyperbolic 3-manifolds. This book introduces and explains hyperbolic geometry and hyperbolic 3- and 2-dimensional manifolds in the first two chapters and then goes on to develop the subject. The author ... En savoir plus

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  • Reversibility in Dynamics and Group Theory

    Collections Livre 416 - London Mathematical Society Lecture Note Series
    Reversibility is a thread woven through many branches of mathematics. It arises in dynamics, in systems that admit a time-reversal symmetry, and in group theory where the reversible group elements are those that are conjugate to their inverses. However, the lack of a lingua franca for discussing reversibility means that researchers who encounter the concept may be unaware of related work in other ... En savoir plus

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  • Automorphic Forms and Galois Representations: Volume 1

    Collections Livre 414 - London Mathematical Society Lecture Note Series
    Automorphic forms and Galois representations have played a central role in the development of modern number theory, with the former coming to prominence via the celebrated Langlands program and Wiles' proof of Fermat's Last Theorem. This two-volume collection arose from the 94th LMS-EPSRC Durham Symposium on 'Automorphic Forms and Galois Representations' in July 2011, the aim of which was to ... En savoir plus

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  • The Geometry of Celestial Mechanics

    Collections Livre 83 - London Mathematical Society Student Texts
    Celestial mechanics is the branch of mathematical astronomy devoted to studying the motions of celestial bodies subject to the Newtonian law of gravitation. This mathematical introductory textbook reveals that even the most basic question in celestial mechanics, the Kepler problem, leads to a cornucopia of geometric concepts: conformal and projective transformations, spherical and hyperbolic ... En savoir plus

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  • The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles

    Collections series Oxford Lecture Series in Mathematics and Its Applications
    The self-avoiding walk is a classical model in statistical mechanics, probability theory and mathematical physics. It is also a simple model of polymer entropy which is useful in modelling phase behaviour in polymers. This monograph provides an authoritative examination of interacting self-avoiding walks, presenting aspects of the thermodynamic limit, phase behaviour, scaling and critical ... En savoir plus

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  • Geometric, Algebraic And Topological Methods For Quantum Field Theory - Proceedings Of The 2013 Villa De Leyva Summer School

    Based on lectures held at the 8th edition of the series of summer schools in Villa de Leyva since 1999, this book presents an introduction to topics of current interest at the interface of geometry, algebra, analysis, topology and theoretical physics. It is aimed at graduate students and researchers in physics or mathematics, and offers an introduction to the topics discussed in the two weeks of ... En savoir plus

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