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  • Trotter-Kato Approximations of Stochastic Differential Equations in Infinite Dimensions and Applications

    Series series Mathematics and Statistics (R0)
    This is the first comprehensive book on Trotter-Kato approximations of stochastic differential equations (SDEs) in infinite dimensions and applications. This research monograph brings together the varied literature on this topic since 1985 when such a study was initiated. The author provides a clear and systematic introduction to the theory of Trotter-Kato approximations of SDEs and also presents ... Leer más

    $125.99 USD

  • Yosida Approximations of Stochastic Differential Equations in Infinite Dimensions and Applications

    Series series Mathematics and Statistics (R0)
    This research monograph brings together, for the first time, the varied literature on Yosida approximations of stochastic differential equations (SDEs) in infinite dimensions and their applications into a single cohesive work. The author provides a clear and systematic introduction to the Yosida approximation method and justifies its power by presenting its applications in some practical topics ... Leer más

    $107.99 USD

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  • The Princeton Companion to Mathematics

    This is a one-of-a-kind reference for anyone with a serious interest in mathematics. Edited by Timothy Gowers, a recipient of the Fields Medal, it presents nearly two hundred entries, written especially for this book by some of the world's leading mathematicians, that introduce basic mathematical tools and vocabulary; trace the development of modern mathematics; explain essential terms and ... Leer más

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  • Functional Analysis

    Introduction to Further Topics in Analysis

    This is the fourth and final volume in the Princeton Lectures in Analysis, a series of textbooks that aim to present, in an integrated manner, the core areas of analysis. Beginning with the basic facts of functional analysis, this volume looks at Banach spaces, Lp spaces, and distribution theory, and highlights their roles in harmonic analysis. The authors then use the Baire category theorem to ... Leer más

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  • Linear Algebra As An Introduction To Abstract Mathematics

    This is an introductory textbook designed for undergraduate mathematics majors with an emphasis on abstraction and in particular, the concept of proofs in the setting of linear algebra. Typically such a student would have taken calculus, though the only prerequisite is suitable mathematical grounding. The purpose of this book is to bridge the gap between the more conceptual and computational ... Leer más

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  • Brownian Motion and Stochastic Calculus

    Series series Mathematics and Statistics (R0)
    This book is designed as a text for graduate courses in stochastic processes. It is written for readers familiar with measure-theoretic probability and discrete-time processes who wish to explore stochastic processes in continuous time. The vehicle chosen for this exposition is Brownian motion, which is presented as the canonical example of both a martingale and a Markov process with continuous ... Leer más

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  • From Euclidean to Hilbert Spaces

    Introduction to Functional Analysis and its Applications

    From Euclidian to Hilbert Spaces analyzes the transition from finite dimensional Euclidian spaces to infinite-dimensional Hilbert spaces, a notion that can sometimes be difficult for non-specialists to grasp. The focus is on the parallels and differences between the properties of the finite and infinite dimensions, noting the fundamental importance of coherence between the algebraic and ... Leer más

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  • Probability Theory

    A Comprehensive Course

    de Achim Klenke ...
    Series series Mathematics and Statistics (R0)
    This second edition of the popular textbook contains a comprehensive course in modern probability theory, covering a wide variety of topics which are not usually found in introductory textbooks, including:• limit theorems for sums of random variables• martingales• percolation• Markov chains and electrical networks• construction of stochastic processes• Poisson point process and infinite ... Leer más

    $80.99 USD

  • p(x)bi-Laplacian: Application on Time-PDEs in Viscoelasticity

    The main subject of our book is to use the (p, p(x) and p(x))-bi-Laplacian operator in some partial differential systems, where we developed and obtained many results in quantitative and qualitative point of view.Contents:IntroductionLove-Type Waves with Past HistoryViscoelastic Wave Equation with Power NonlinearityPlate Equation in ℝnNonexistence of Global Solutions for Nonlinear Equation via ... Leer más

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  • The Elements of Cantor Sets

    With Applications

    A systematic and integrated approach to Cantor Sets and their applications to various branches of mathematicsThe Elements of Cantor Sets: With Applications features a thorough introduction to Cantor Sets and applies these sets as a bridge between real analysis, probability, topology, and algebra.The author fills a gap in the current literature by providing an introductory and integrated ... Leer más

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  • Analysis

    From Concepts to Applications

    Series series Mathematics and Statistics (R0)
    This textbook covers the main results and methods of real analysis in a single volume. Taking a progressive approach to equations and transformations, this book starts with the very foundations of real analysis (set theory, order, convergence, and measure theory) before presenting powerful results that can be applied to concrete problems.In addition to classical results of functional analysis, ... Leer más

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  • Sobolev Spaces

    Series Libro 140 - Pure and Applied Mathematics
    Sobolev Spaces presents an introduction to the theory of Sobolev Spaces and other related spaces of function, also to the imbedding characteristics of these spaces. This theory is widely used in pure and Applied Mathematics and in the Physical Sciences. This second edition of Adam's 'classic' reference text contains many additions and much modernizing and refining of material. The basic premise of ... Leer más

    $148.99 USD