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  • A Guide to the Classification Theorem for Compact Surfaces

    Series series Mathematics and Statistics (R0)
    This welcome boon for students of algebraic topology cuts a much-needed central path between other texts whose treatment of the classification theorem for compact surfaces is either too formalized and complex for those without detailed background knowledge, or too informal to afford students a comprehensive insight into the subject. Its dedicated, student-centred approach details a near-complete ... Leer más

    $49.49 USD

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  • First Steps in Differential Geometry

    Riemannian, Contact, Symplectic

    Series series Mathematics and Statistics (R0)
    Differential geometry arguably offers the smoothest transition from the standard university mathematics sequence of the first four semesters in calculus, linear algebra, and differential equations to the higher levels of abstraction and proof encountered at the upper division by mathematics majors. Today it is possible to describe differential geometry as "the study of structures on the tangent ... Leer más

    $71.99 USD

  • Topics in Physical Mathematics

    Series series Mathematics and Statistics (R0)
    As many readers will know, the 20th century was a time when the fields of mathematics and the sciences were seen as two separate entities. Caused by the rapid growth of the physical sciences and an increasing abstraction in mathematical research, each party, physicists and mathematicians alike, suffered a misconception; not only of the opposition’s theoretical underpinning, but of how the two ... Leer más

    $80.09 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

  • 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

  • Guts of Surfaces and the Colored Jones Polynomial

    Series series Mathematics and Statistics (R0)
    This monograph derives direct and concrete relations between colored Jones polynomials and the topology of incompressible spanning surfaces in knot and link complements. Under mild diagrammatic hypotheses, we prove that the growth of the degree of the colored Jones polynomials is a boundary slope of an essential surface in the knot complement. We show that certain coefficients of the polynomial ... Leer más

    $44.99 USD

  • Geometry and Topology of Manifolds

    10th China-Japan Conference 2014

    Series series Springer Nature Proceedings excluding Computer Science
    Since the year 2000, we have witnessed several outstanding results in geometry that have solved long-standing problems such as the Poincaré conjecture, the Yau–Tian–Donaldson conjecture, and the Willmore conjecture. There are still many important and challenging unsolved problems including, among others, the Strominger–Yau–Zaslow conjecture on mirror symmetry, the relative Yau–Tian–Donaldson ... Leer más

    $89.09 USD

  • Topological Methods in Data Analysis and Visualization IV

    Theory, Algorithms, and Applications

    Series series Springer Nature Proceedings excluding Computer Science
    This book presents contributions on topics ranging from novel applications of topological analysis for particular problems, through studies of the effectiveness of modern topological methods, algorithmic improvements on existing methods, and parallel computation of topological structures, all the way to mathematical topologies not previously applied to data analysis.Topological methods are broadly ... Leer más

    $170.99 USD

  • Shape Reconstruction from Apparent Contours

    Theory and Algorithms

    Series series Computer Science (R0)
    Motivated by a variational model concerning the depth of the objects in a picture and the problem of hidden and illusory contours, this book investigates one of the central problems of computer vision: the topological and algorithmic reconstruction of a smooth three dimensional scene starting from the visible part of an apparent contour.The authors focus their attention on the manipulation of ... Leer más

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  • Differentiable Manifolds

    A Theoretical Physics Approach

    Series series Mathematics and Statistics (R0)
    This textbook explores the theory behind differentiable manifolds and investigates various physics applications along the way. Basic concepts, such as differentiable manifolds, differentiable mappings, tangent vectors, vector fields, and differential forms, are briefly introduced in the first three chapters. Chapter 4 gives a concise introduction to differential geometry needed in subsequent ... Leer más

    $76.99 USD

  • Computational Methods for Three-Dimensional Microscopy Reconstruction

    Edición de Gabor T. Herman, Joachim Frank ...
    Series series Mathematics and Statistics (R0)
    Approaches to the recovery of three-dimensional information on a biological object, which are often formulated or implemented initially in an intuitive way, are concisely described here based on physical models of the object and the image-formation process. Both three-dimensional electron microscopy and X-ray tomography can be captured in the same mathematical framework, leading to closely-related ... Leer más

    $89.09 USD

  • Real and Complex Submanifolds

    Daejeon, Korea, August 2014

    Series series Springer Nature Proceedings excluding Computer Science
    Edited in collaboration with the Grassmann Research Group, this book contains many important articles delivered at the ICM 2014 Satellite Conference and the 18th International Workshop on Real and Complex Submanifolds, which was held at the National Institute for Mathematical Sciences, Daejeon, Republic of Korea, August 10–12, 2014.The book covers various aspects of differential geometry focused ... Leer más

    $143.99 USD