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  • Introduction to Global Variational Geometry

    Series Book 1 - Atlantis Studies in Variational Geometry
    The book is devoted to recent research in the global variational theory on smooth manifolds. Its main objective is an extension of the classical variational calculus on Euclidean spaces to (topologically nontrivial) finite-dimensional smooth manifolds; to this purpose the methods of global analysis of differential forms are used. Emphasis is placed on the foundations of the theory of variational ... Read more

    $80.99 USD

  • Handbook of Global Analysis

    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

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  • Elementary Differential Geometry, Revised 2nd Edition

    Written primarily for students who have completed the standard first courses in calculus and linear algebra, Elementary Differential Geometry, Revised 2nd Edition, provides an introduction to the geometry of curves and surfaces. The Second Edition maintained the accessibility of the first, while providing an introduction to the use of computers and expanding discussion on certain topics. Further ... Read more

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  • Geometric Control Theory and Sub-Riemannian Geometry

    Series series Mathematics and Statistics (R0)
    Honoring Andrei Agrachev's 60th birthday, this volume presents recent advances in the interaction between Geometric Control Theory and sub-Riemannian geometry. On the one hand, Geometric Control Theory used the differential geometric and Lie algebraic language for studying controllability, motion planning, stabilizability and optimality for control systems. The geometric approach turned out to be ... Read more

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  • The Inverse Problem of the Calculus of Variations

    Local and Global Theory

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    Series Book 2 - Atlantis Studies in Variational Geometry
    The aim of the present book is to give a systematic treatment of the inverse problem of the calculus of variations, i.e. how to recognize whether a system of differential equations can be treated as a system for extremals of a variational functional (the Euler-Lagrange equations), using contemporary geometric methods. Selected applications in geometry, physics, optimal control, and general ... Read more

    $49.99 USD

  • 2000 Solved Problems in Discrete Mathematics

    Master discrete mathematics with Schaum's--the high-performance solved-problem guide.It will help you cut study time, hone problem-solving skills, and achieve your personal best on exams!Students love Schaum's Solved Problem Guides because they produce results. Each year, thousands of students improve their test scores and final grades with these indispensable guides. Get the edge on your ... Read more

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  • Developments of Harmonic Maps, Wave Maps and Yang-Mills Fields into Biharmonic Maps, Biwave Maps and Bi-Yang-Mills Fields

    Series series Mathematics and Statistics (R0)
    Harmonic maps between Riemannian manifolds were first established by James Eells and Joseph H. Sampson in 1964. Wave maps are harmonic maps on Minkowski spaces and have been studied since the 1990s. Yang-Mills fields, the critical points of Yang-Mills functionals of connections whose curvature tensors are harmonic, were explored by a few physicists in the 1950s, and biharmonic maps (generalizing ... Read more

    $58.99 USD

  • A Course in Mathematical Analysis: Volume 2, Metric and Topological Spaces, Functions of a Vector Variable

    The three volumes of A Course in Mathematical Analysis provide a full and detailed account of all those elements of real and complex analysis that an undergraduate mathematics student can expect to encounter in their first two or three years of study. Containing hundreds of exercises, examples and applications, these books will become an invaluable resource for both students and teachers. Volume 1 ... Read more

    $57.39 USD

  • Quantum Isometry Groups

    Series series Infosys Science Foundation Series in Mathematical Sciences
    This book offers an up-to-date overview of the recently proposed theory of quantum isometry groups. Written by the founders, it is the first book to present the research on the “quantum isometry group”, highlighting the interaction of noncommutative geometry and quantum groups, which is a noncommutative generalization of the notion of group of isometry of a classical Riemannian manifold. The ... Read more

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  • Fourier Analysis and Hausdorff Dimension

    Series Book 150 - Cambridge Studies in Advanced Mathematics
    During the past two decades there has been active interplay between geometric measure theory and Fourier analysis. This book describes part of that development, concentrating on the relationship between the Fourier transform and Hausdorff dimension. The main topics concern applications of the Fourier transform to geometric problems involving Hausdorff dimension, such as Marstrand type projection ... Read more

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  • Progress in Mathematical Relativity, Gravitation and Cosmology

    Proceedings of the Spanish Relativity Meeting ERE2012, University of Minho, Guimarães, Portugal, September 3-7, 2012

    Series series Springer Nature Proceedings excluding Computer Science
    This book contains contributions from the Spanish Relativity Meeting, ERE 2012, held inGuimarães, Portugal, September 2012. It features more than 70 papers on a range of topics in general relativity and gravitation, from mathematical cosmology, numerical relativity and black holes to string theory and quantum gravity.Under the title "Progress in Mathematical Relativity, Gravitation and Cosmology," ... Read more

    $143.99 USD

  • Smooth Manifolds

    This book offers an introduction to the theory of smooth manifolds, helping students to familiarize themselves with the tools they will need for mathematical research on smooth manifolds and differential geometry. The book primarily focuses on topics concerning differential manifolds, tangent spaces, multivariable differential calculus, topological properties of smooth manifolds, embedded ... Read more

    $49.49 USD