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Top Series in United States

Showing 1 - 12 of 12 results for “peter b gilkey”
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  • Spectral Geometry, Riemannian Submersions, and the Gromov-Lawson Conjecture

    by Peter B. Gilkey, JeongHyeong Park, John V. Leahy ...
    Series series Studies in Advanced Mathematics
    This cutting-edge, standard-setting text explores the spectral geometry of Riemannian submersions. Working for the most part with the form valued Laplacian in the class of smooth compact manifolds without boundary, the authors study the relationship-if any-between the spectrum of Dp on Y and Dp on Z, given that Dp is the p form valued Laplacian and pi: Z (R) Y is a Riemannian submersion.After ... Read more

    $245.00 USD

  • Asymptotic Formulae in Spectral Geometry

    by Peter B. Gilkey ...
    A great deal of progress has been made recently in the field of asymptotic formulas that arise in the theory of Dirac and Laplace type operators. Asymptotic Formulae in Spectral Geometry collects these results and computations into one book. Written by a leading pioneer in the field, it focuses on the functorial and special cases methods of computing asymptotic heat trace and heat content ... Read more

    $255.00 USD

  • Geometry Of Spherical Space Form Groups, The (Second Edition)

    by Peter B Gilkey ...
    Series Book 28 - Series In Pure Mathematics
    This volume focuses on discussing the interplay between the analysis, as exemplified by the eta invariant and other spectral invariants, the number theory, as exemplified by the relevant Dedekind sums and Rademacher reciprocity, the algebraic topology, as exemplified by the equivariant bordism groups, K-theory groups, and connective K-theory groups, and the geometry of spherical space forms, as ... Read more

    $106.99 USD

  • Invariance Theory

    The Heat Equation and the Atiyah-Singer Index Theorem

    by Peter B. Gilkey ...
    Series series Studies in Advanced Mathematics
    This book treats the Atiyah-Singer index theorem using the heat equation, which gives a local formula for the index of any elliptic complex. Heat equation methods are also used to discuss Lefschetz fixed point formulas, the Gauss-Bonnet theorem for a manifold with smooth boundary, and the geometrical theorem for a manifold with smooth boundary. The author uses invariance theory to identify the ... Read more

    $395.00 USD

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  • Handbook of Global Analysis

    Edited by Demeter Krupka, David Saunders ...
    This is a comprehensive exposition of topics covered by the American Mathematical Society's classification "Global Analysis, dealing with modern developments in calculus expressed using abstract terminology. It will be invaluable for graduate students and researchers embarking on advanced studies in mathematics and mathematical physics.This book provides a comprehensive coverage of modern global ... Read more

    $260.99 USD

  • Geometry and Physics

    Edited by H. Pedersen, J. Andersen, J. Dupont, Andrew Swann ...
    Series series Lecture Notes in Pure and Applied Mathematics
    "Based on the proceedings of the Special Session on Geometry and Physics held over a six month period at the University of Aarhus, Denmark and on articles from the Summer school held at Odense University, Denmark. Offers new contributions on a host of topics that involve physics, geometry, and topology. Written by more than 50 leading international experts." ... Read more

    $555.00 USD

  • Optimal Control and Geometry: Integrable Systems

    by Velimir Jurdjevic ...
    Series Book 154 - Cambridge Studies in Advanced Mathematics
    The synthesis of symplectic geometry, the calculus of variations and control theory offered in this book provides a crucial foundation for the understanding of many problems in applied mathematics. Focusing on the theory of integrable systems, this book introduces a class of optimal control problems on Lie groups, whose Hamiltonians, obtained through the Maximum Principle of optimality, shed new ... Read more

    $97.59 USD

  • Topics in Physical Mathematics

    by Kishore Marathe ...
    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 ... Read more

    $80.99 USD

  • Ordinary Differential Equations with Applications

    by Sze-Bi Hsu, Kuo-Chang Chen ...
    Series Book 23 - Series on Applied Mathematics
    Written in a straightforward and easily accessible style, this volume is suitable as a textbook for advanced undergraduate or first-year graduate students in mathematics, physical sciences, and engineering. The aim is to provide students with a strong background in the theories of Ordinary Differential Equations, Dynamical Systems and Boundary Value Problems, including regular and singular ... Read more

    $25.99 USD

  • Partial Differential Equations

    Theory and Numerical Solution

    by J. Necas ...
    Series series Chapman & Hall/CRC Research Notes in Mathematics Series
    As a satellite conference of the 1998 International Mathematical Congress and part of the celebration of the 650th anniversary of Charles University, the Partial Differential Equations Theory and Numerical Solution conference was held in Prague in August, 1998. With its rich scientific program, the conference provided an opportunity for almost 200 participants to gather and discuss emerging ... Read more

    $255.00 USD

  • Ordinary Differential Equations With Applications (2nd Edition)

    by Sze-bi Hsu ...
    Series Book 21 - Series On Applied Mathematics
    During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary Differential Equations (ODE).This useful book, which is based on the lecture notes of a well-received graduate course, emphasizes both theory and applications, taking numerous examples from physics and ... Read more

    $20.89 USD

  • Asymptotic Time Decay In Quantum Physics

    by Domingos H U Marchetti, Walter F Wreszinski ...
    Time decays form the basis of a multitude of important and interesting phenomena in quantum physics that range from spectral properties, resonances, return and approach to equilibrium, to quantum mixing, dynamical stability properties and irreversibility and the “arrow of time”.This monograph is devoted to a clear and precise, yet pedagogical account of the associated concepts and methods. ... Read more

    $48.99 USD