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  • Real Analysis: Measures, Integrals and Applications

    Series series Mathematics and Statistics (R0)
    Real Analysis: Measures, Integrals and Applications is devoted to the basics of integration theory and its related topics. The main emphasis is made on the properties of the Lebesgue integral and various applications both classical and those rarely covered in literature.This book provides a detailed introduction to Lebesgue measure and integration as well as the classical results concerning ... Leer más

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  • Complex Analysis and Differential Equations

    Series series Mathematics and Statistics (R0)
    This text provides an accessible, self-contained and rigorous introduction to complex analysis and differential equations. Topics covered include holomorphic functions, Fourier series, ordinary and partial differential equations.The text is divided into two parts: part one focuses on complex analysis and part two on differential equations. Each part can be read independently, so in essence this ... Leer más

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  • A Tale of Two Fractals

    de A.A. Kirillov ...
    Series series Mathematics and Statistics (R0)
    Since Benoit Mandelbrot's pioneering work in the late 1970s, scores of research articles and books have been published on the topic of fractals. Despite the volume of literature in the field, the general level of theoretical understanding has remained low; most work is aimed either at too mainstream an audience to achieve any depth or at too specialized a community to achieve widespread use. ... Leer más

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  • 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from variational to dynamical, while developing new insights, making geometrical and topological detours, and providing historical references.A. Guillot’s notes aim to describe differential equations in the complex domain, ...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

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  • Poisson Point Processes and Their Application to Markov Processes

    de Kiyosi Itô ...
    Series series SpringerBriefs in Probability and Mathematical Statistics
    An extension problem (often called a boundary problem) of Markov processes has been studied, particularly in the case of one-dimensional diffusion processes, by W. Feller, K. Itô, and H. P. McKean, among others. In this book, Itô discussed a case of a general Markov process with state space S and a specified point a ∈ S called a boundary. The problem is to obtain all possible recurrent extensions ... Leer más

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  • Handbook of Global Analysis

    Edición de 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 ... Leer más

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  • Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications

    Cetraro, Italy 2011, Editors: Paola Loreti, Nicoletta Anna Tchou

    Series series Mathematics and Statistics (R0)
    These Lecture Notes contain the material relative to the courses given at the CIME summer school held in Cetraro, Italy from August 29 to September 3, 2011. The topic was "Hamilton-Jacobi Equations: Approximations, Numerical Analysis and Applications". The courses dealt mostly with the following subjects: first order and second order Hamilton-Jacobi-Bellman equations, properties of viscosity ... Leer más

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  • Introduction to Global Variational Geometry

    Series Libro 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 ... Leer más

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  • Handbook of the Geometry of Banach Spaces

    Series Libro 2 - Handbook of the Geometry of Banach Spaces
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  • An Invitation to Hypoelliptic Operators and Hörmander's Vector Fields

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    Hörmander's operators are an important class of linear elliptic-parabolic degenerate partial differential operators with smooth coefficients, which have been intensively studied since the late 1960s and are still an active field of research. This text provides the reader with a general overview of the field, with its motivations and problems, some of its fundamental results, and some recent lines ... Leer más

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  • Perspectives in Analysis, Geometry, and Topology

    On the Occasion of the 60th Birthday of Oleg Viro

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    The contributions in this volume—dedicated to the work and mathematical interests of Oleg Viro on the occasion of his 60th birthday—are invited papers from the Marcus Wallenberg symposium and focus on research topics that bridge the gap among analysis, geometry, and topology. The encounters among these three fields are widespread and often provide impetus for major breakthroughs in applications ... Leer más

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