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  • Mathematical Models in Boundary Layer Theory

    Series series Applied Mathematics
    Since Prandtl first suggested it in 1904, boundary layer theory has become a fundamental aspect of fluid dynamics. Although a vast literature exists for theoretical and experimental aspects of the theory, for the most part, mathematical studies can be found only in separate, scattered articles. Mathematical Models in Boundary Layer Theory offers the first systematic exposition of the mathematical ... Leer más

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  • Linear Algebra

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    Series series Mathematics and Statistics (R0)
    Linear Algebra is intended for a one-term course at the junior or senior level. It begins with an exposition of the basic theory of vector spaces and proceeds to explain the fundamental structure theorems for linear maps, including eigenvectors and eigenvalues, quadric and hermitian forms, diagonalization of symmetric, hermitian, and unitary linear maps and matrices, triangulation, and Jordan ... Leer más

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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

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  • An Introduction to Partial Differential Equations

    A complete introduction to partial differential equations, this textbook provides a rigorous yet accessible guide to students in mathematics, physics and engineering. The presentation is lively and up to date, paying particular emphasis to developing an appreciation of underlying mathematical theory. Beginning with basic definitions, properties and derivations of some basic equations of ... Leer más

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  • Differential Equations: An Introduction To Basic Concepts, Results And Applications (Third Edition)

    de Ioan I Vrabie ...
    This book presents, in a unitary frame and from a new perspective, the main concepts and results of one of the most fascinating branches of modern mathematics, namely differential equations, and offers the reader another point of view concerning a possible way to approach the problems of existence, uniqueness, approximation, and continuation of the solutions to a Cauchy problem. In addition, it ... Leer más

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  • Brownian Motion

    Series Libro 30 - Cambridge Series in Statistical and Probabilistic Mathematics
    This eagerly awaited textbook covers everything the graduate student in probability wants to know about Brownian motion, as well as the latest research in the area. Starting with the construction of Brownian motion, the book then proceeds to sample path properties like continuity and nowhere differentiability. Notions of fractal dimension are introduced early and are used throughout the book to ... Leer más

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  • Nonlinearity and Functional Analysis

    Lectures on Nonlinear Problems in Mathematical Analysis

    Nonlinearity and Functional Analysis is a collection of lectures that aim to present a systematic description of fundamental nonlinear results and their applicability to a variety of concrete problems taken from various fields of mathematical analysis. For decades, great mathematical interest has focused on problems associated with linear operators and the extension of the well-known results of ... Leer más

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  • Symplectic Topology and Floer Homology: Volume 2, Floer Homology and its Applications

    de Yong-Geun Oh ...
    Series Libro 29 - New Mathematical Monographs
    Published in two volumes, this is the first book to provide a thorough and systematic explanation of symplectic topology, and the analytical details and techniques used in applying the machinery arising from Floer theory as a whole. Volume 2 provides a comprehensive introduction to both Hamiltonian Floer theory and Lagrangian Floer theory, including many examples of their applications to various ... Leer más

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  • Handbook of Dynamical Systems

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    Edición de A. Katok, B. Hasselblatt ...
    This second half of Volume 1 of this Handbook follows Volume 1A, which was published in 2002. The contents of these two tightly integrated parts taken together come close to a realization of the program formulated in the introductory survey "Principal Structures of Volume 1A.The present volume contains surveys on subjects in four areas of dynamical systems: Hyperbolic dynamics, parabolic dynamics, ... Leer más

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  • Mathematical Physics

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    de Sadri Hassani ...
    Series series Physics and Astronomy (R0)
    The goal of this book is to expose the reader to the indispensable role that mathematics plays in modern physics. Starting with the notion of vector spaces, the first half of the book develops topics as diverse as algebras, classical orthogonal polynomials, Fourier analysis, complex analysis, differential and integral equations, operator theory, and multi-dimensional Green's functions. The second ... Leer más

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  • Hangzhou Lectures on Eigenfunctions of the Laplacian

    Series Libro 188 - Annals of Mathematics Studies
    Based on lectures given at Zhejiang University in Hangzhou, China, and Johns Hopkins University, this book introduces eigenfunctions on Riemannian manifolds. Christopher Sogge gives a proof of the sharp Weyl formula for the distribution of eigenvalues of Laplace-Beltrami operators, as well as an improved version of the Weyl formula, the Duistermaat-Guillemin theorem under natural assumptions on ... Leer más

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  • Fourier Series, Fourier Transform and Their Applications to Mathematical Physics

    de Valery Serov ...
    Series series Mathematics and Statistics (R0)
    This text serves as an introduction to the modern theory of analysis and differential equations with applications in mathematical physics and engineering sciences. Having outgrown from a series of half-semester courses given at University of Oulu, this book consists of four self-contained parts.The first part, Fourier Series and the Discrete Fourier Transform, is devoted to the classical one ... Leer más

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