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  • Surface-Knots in 4-Space

    An Introduction

    Series series Mathematics and Statistics (R0)
    This introductory volume provides the basics of surface-knots and related topics, not only for researchers in these areas but also for graduate students and researchers who are not familiar with the field.Knot theory is one of the most active research fields in modern mathematics. Knots and links are closed curves (one-dimensional manifolds) in Euclidean 3-space, and they are related to braids and ... Leer más

    $107.99 USD

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  • Geometry from a Differentiable Viewpoint

    de 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 ... Leer más

    $60.99 USD

  • 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 ... Leer más

    $42.99 USD

  • Finiteness Properties of Arithmetic Groups Acting on Twin Buildings

    de Stefan Witzel ...
    Series 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 ... Leer más

    $44.99 USD

  • 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), ... Leer más

    $85.99 USD

  • Tensor Valuations and Their Applications in Stochastic Geometry and Imaging

    Series series Mathematics and Statistics (R0)
    The purpose of this volume is to give an up-to-date introduction to tensor valuations and their applications. Starting with classical results concerning scalar-valued valuations on the families of convex bodies and convex polytopes, it proceeds to the modern theory of tensor valuations. Product and Fourier-type transforms are introduced and various integral formulae are derived. New and well-known ... Leer más

    $62.99 USD

  • Fourier Restriction for Hypersurfaces in Three Dimensions and Newton Polyhedra

    Series Libro 194 - Annals of Mathematics Studies
    This is the first book to present a complete characterization of Stein-Tomas type Fourier restriction estimates for large classes of smooth hypersurfaces in three dimensions, including all real-analytic hypersurfaces. The range of Lebesgue spaces for which these estimates are valid is described in terms of Newton polyhedra associated to the given surface.Isroil Ikromov and Detlef Müller begin with ... Leer más

    $70.59 USD

  • Non-Archimedean Tame Topology and Stably Dominated Types

    Series Libro 192 - Annals of Mathematics Studies
    Over the field of real numbers, analytic geometry has long been in deep interaction with algebraic geometry, bringing the latter subject many of its topological insights. In recent decades, model theory has joined this work through the theory of o-minimality, providing finiteness and uniformity statements and new structural tools.For non-archimedean fields, such as the p-adics, the Berkovich ... Leer más

    $70.59 USD

  • Rigidity and Symmetry

    Series Libro 70 - Fields Institute Communications
    This book contains recent contributions to the fields of rigidity and symmetry with two primary focuses: to present the mathematically rigorous treatment of rigidity of structures and to explore the interaction of geometry, algebra and combinatorics. Contributions present recent trends and advances in discrete geometry, particularly in the theory of polytopes. The rapid development of abstract ... Leer más

    $89.99 USD

  • 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, ... Leer más

    $35.99 USD

  • Topics in Critical Point Theory

    Series Libro 198 - Cambridge Tracts in Mathematics
    This book introduces the reader to powerful methods of critical point theory and details successful contemporary approaches to many problems, some of which had proved resistant to attack by older methods. Topics covered include Morse theory, critical groups, the minimax principle, various notions of linking, jumping nonlinearities and the Fučík spectrum in an abstract setting, sandwich pairs and ... Leer más

    $71.99 USD

  • Geometric Aspects of General Topology

    de Katsuro Sakai ...
    Series series Mathematics and Statistics (R0)
    This book is designed for graduate students to acquire knowledge of dimension theory, ANR theory (theory of retracts), and related topics. These two theories are connected with various fields in geometric topology and in general topology as well. Hence, for students who wish to research subjects in general and geometric topology, understanding these theories will be valuable. Many proofs are ... Leer más

    $134.99 USD