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功能分析 電子書

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  • Real Analysis

    With Proof Strategies

    由 Daniel W. Cunningham ……
    系列 series Textbooks in Mathematics
    Typically, undergraduates see real analysis as one of the most difficult courses that a mathematics major is required to take. The main reason for this perception is twofold: Students must comprehend new abstract concepts and learn to deal with these concepts on a level of rigor and proof not previously encountered. A key challenge for an instructor of real analysis is to find a way to bridge the gap …… 閱讀更多內容

    $523.72 HKD

  • Functional Analysis

    Introduction to Further Topics in Analysis

    由 Elias M. Stein, Rami Shakarchi ……
    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 …… 閱讀更多內容

    $619.19 HKD

  • Fourier Analysis

    An Introduction

    由 Elias M. Stein, Rami Shakarchi ……
    This first volume, a three-part introduction to the subject, is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis. It begins with the simple conviction that Fourier arrived at in the early nineteenth century when studying problems in the physical sciences--that an arbitrary function can be written as an …… 閱讀更多內容

    $619.19 HKD

  • Matrix and Operator Equations and Applications

    編輯者: Mohammad Sal Moslehian ……
    系列 series Mathematics and Statistics (R0)
    This book concerns matrix and operator equations that are widely applied in various disciplines of science to formulate challenging problems and solve them in a faithful way. The main aim of this contributed book is to study several important matrix and operator equalities and equations in a systematic and self-contained fashion. Some powerful methods have been used to investigate some significant …… 閱讀更多內容

    $1,170.39 HKD

  • Descriptive Topology and Functional Analysis

    In Honour of Jerzy Kakol’s 60th Birthday

    編輯者: Manuel López-Pellicer, Juan Carlos Ferrando ……
    系列 series Springer Nature Proceedings excluding Computer Science
    Descriptive topology and functional analysis, with extensive material demonstrating new connections between them, are the subject of the first section of this work. Applications to spaces of continuous functions, topological Abelian groups, linear topological equivalence and to the separable quotient problem are included and are presented as open problems. The second section is devoted to Banach …… 閱讀更多內容

    $752.39 HKD

  • Geometric Aspects of Functional Analysis

    Israel Seminar (GAFA) 2017-2019 Volume II

    編輯者: Bo'az Klartag, Emanuel Milman ……
    系列 series Mathematics and Statistics (R0)
    Continuing the theme of the previous volumes, these seminar notes reflect general trends in the study of Geometric Aspects of Functional Analysis, understood in a broad sense. Two classical topics represented are the Concentration of Measure Phenomenon in the Local Theory of Banach Spaces, which has recently had triumphs in Random Matrix Theory, and the Central Limit Theorem, one of the earliest …… 閱讀更多內容

    $543.39 HKD

  • Analytic Methods of Spectral Representations of Non-Selfadjoint (Non-Unitary) Operators

    由 Vladimir A. Zolotarev ……
    系列 series Mathematics and Statistics (R0)
    This book is concerned with the theory of model representations of linear non-selfadjoint and non-unitary operators. This booming area of functional analysis owes its origins to the fundamental works of M. S. Livšic on the theory of characteristic functions, the deep studies of B. S.-Nagy and C. Foias on dilation theory, and also to the Lax–Phillips scattering theory. Here, a uniform conceptual …… 閱讀更多內容

    $752.39 HKD

  • Approximation Theory, Sequence Spaces and Applications

    編輯者: S. A. Mohiuddine, Bipan Hazarika, Hemant Kumar Nashine ……
    系列 series Mathematics and Statistics (R0)
    This book publishes original research chapters on the theory of approximation by positive linear operators as well as theory of sequence spaces and illustrates their applications. Chapters are original and contributed by active researchers in the field of approximation theory and sequence spaces. Each chapter describes the problem of current importance and summarizes ways of their solution and …… 閱讀更多內容

    $1,086.79 HKD

  • Asymptotic Analysis of Unstable Solutions of Stochastic Differential Equations

    由 Grigorij Kulinich, Svitlana Kushnirenko, Yuliya Mishura ……
    系列 series Mathematics and Statistics (R0)
    This book is devoted to unstable solutions of stochastic differential equations (SDEs). Despite the huge interest in the theory of SDEs, this book is the first to present a systematic study of the instability and asymptotic behavior of the corresponding unstable stochastic systems. The limit theorems contained in the book are not merely of purely mathematical value; rather, they also have …… 閱讀更多內容

    $417.99 HKD

  • Boundary Value Problems and Hardy Spaces for Elliptic Systems with Block Structure

    由 Pascal Auscher, Moritz Egert ……
    系列 series Mathematics and Statistics (R0)
    In this monograph, for elliptic systems with block structure in the upper half-space and t-independent coefficients, the authors settle the study of boundary value problems by proving compatible well-posedness of Dirichlet, regularity and Neumann problems in optimal ranges of exponents. Prior to this work, only the two-dimensional situation was fully understood. In higher dimensions, partial …… 閱讀更多內容

    $1,086.79 HKD

  • Topological and Variational Methods with Applications to Nonlinear Boundary Value Problems

    由 Dumitru Motreanu, Viorica Venera Motreanu, Nikolaos Papageorgiou ……
    This book focuses on nonlinear boundary value problems and the aspects of nonlinear analysis which are necessary to their study. The authors first give a comprehensive introduction to the many different classical methods from nonlinear analysis, variational principles, and Morse theory. They then provide a rigorous and detailed treatment of the relevant areas of nonlinear analysis with new …… 閱讀更多內容

    $752.39 HKD

  • Calculus of Variations

    由 Filip Rindler ……
    系列 series Mathematics and Statistics (R0)
    This textbook provides a comprehensive introduction to the classical and modern calculus of variations, serving as a useful reference to advanced undergraduate and graduate students as well as researchers in the field.Starting from ten motivational examples, the book begins with the most important aspects of the classical theory, including the Direct Method, the Euler-Lagrange equation, Lagrange …… 閱讀更多內容

    $668.79 HKD

  • Principles of Fourier Analysis

    由 Kenneth B. Howell ……
    系列 series Textbooks in Mathematics
    Fourier analysis is one of the most useful and widely employed sets of tools for the engineer, the scientist, and the applied mathematician. As such, students and practitioners in these disciplines need a practical and mathematically solid introduction to its principles. They need straightforward verifications of its results and formulas, and they need clear indications of the limitations of those …… 閱讀更多內容

    $523.72 HKD

  • Fractional Integrals, Potentials, and Radon Transforms

    由 Boris Rubin ……
    系列 series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    Fractional Integrals, Potentials, and Radon Transforms, Second Edition presents recent developments in the fractional calculus of functions of one and several real variables, and shows the relation of this field to a variety of areas in pure and applied mathematics. In this thoroughly revised new edition, the book aims to explore how fractional integrals occur in the study of diverse Radon type …… 閱讀更多內容

    $2,071.73 HKD

  • Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology

    Ronald G. Douglas Memorial Volume

    編輯者: Raul E Curto, William Helton, Huaxin Lin, Xiang Tang, Rongwei Yang, Guoliang Yu ……
    系列 series Springer Nature Proceedings excluding Computer Science
    This book is the proceeding of the International Workshop on Operator Theory and Applications (IWOTA) held in July 2018 in Shanghai, China. It consists of original papers, surveys and expository articles in the broad areas of operator theory, operator algebras and noncommutative topology. Its goal is to give graduate students and researchers a relatively comprehensive overview of the current …… 閱讀更多內容

    $1,170.39 HKD

  • Topology of Infinite-Dimensional Manifolds

    由 Katsuro Sakai ……
    系列 series Mathematics and Statistics (R0)
    An infinite-dimensional manifold is a topological manifold modeled on some infinite-dimensional homogeneous space called a model space. In this book, the following spaces are considered model spaces: Hilbert space (or non-separable Hilbert spaces), the Hilbert cube, dense subspaces of Hilbert spaces being universal spaces for absolute Borel spaces, the direct limit of Euclidean spaces, and the …… 閱讀更多內容

    $1,170.39 HKD

  • Algebraic Topology and Related Topics

    編輯者: Mahender Singh, Yongjin Song, Jie Wu ……
    系列 series Springer Nature Proceedings excluding Computer Science
    This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory. It consists of well-written original research papers and survey articles by subject experts, most of which were presented at the “7th East Asian Conference on Algebraic Topology” held at the …… 閱讀更多內容

    $1,253.99 HKD

  • Mathematical Theory of Hemivariational Inequalities and Applications

    由 Zdzistaw Naniewicz, P. D. Panagiotopoulos ……
    系列 series Chapman & Hall/CRC Pure and Applied Mathematics
    Gives a complete and rigorous presentation of the mathematical study of the expressions - hemivariational inequalities - arising in problems that involve nonconvex, nonsmooth energy functions. A theory of the existence of solutions for inequality problems involving monconvexity and nonsmoothness is established. …… 閱讀更多內容

    $398.63 HKD

  • Gaussian Integrals and their Applications

    由 Oscar A. Nieves ……
    Gaussian Integrals form an integral part of many subfields of applied mathematics and physics, especially in topics such as probability theory, statistics, statistical mechanics, quantum mechanics and so on. They are essential in computing quantities such as the statistical properties of normal random variables, solving partial differential equations involving diffusion processes, and gaining …… 閱讀更多內容

    $250.09 HKD

  • Advances in Mathematical Inequalities and Applications

    編輯者: Praveen Agarwal, Silvestru Sever Dragomir, Mohamed Jleli, Bessem Samet ……
    系列 series Mathematics and Statistics (R0)
    This book is a collection of original research and survey articles on mathematical inequalities and their numerous applications in diverse areas of mathematics and engineering. It includes chapters on convexity and related concepts; inequalities for mean values, sums, functions, operators, functionals, integrals and their applications in various branches of mathematics and related sciences; …… 閱讀更多內容

    $919.59 HKD

  • Analytic Methods in Number Theory

    When Complex Numbers Count

    由 Wadim Zudilin ……
    系列 第 11 冊 - Monographs in Number Theory
    There is no surprise that arithmetic properties of integral ('whole') numbers are controlled by analytic functions of complex variable. At the same time, the values of analytic functions themselves happen to be interesting numbers, for which we often seek explicit expressions in terms of other 'better known' numbers or try to prove that no such exist. This natural symbiosis of number theory and …… 閱讀更多內容

    $436.29 HKD

  • Functional Analysis

    An Introduction to Metric Spaces, Hilbert Spaces, and Banach Algebras

    由 Joseph Muscat ……
    系列 series Mathematics and Statistics (R0)
    This textbook is an introduction to functional analysis suited to final year undergraduates or beginning graduates. Its various applications of Hilbert spaces, including least squares approximation, inverse problems, and Tikhonov regularization, should appeal not only to mathematicians interested in applications, but also to researchers in related fields.Functional Analysis adopts a self-contained …… 閱讀更多內容

    $543.39 HKD

  • Geometric Aspects of Functional Analysis

    Israel Seminar 2006–2010

    編輯者: Bo'az Klartag, Shahar Mendelson, Vitali D. Milman ……
    系列 series Mathematics and Statistics (R0)
    This collection of original papers related to the Israeli GAFA seminar (on Geometric Aspects of Functional Analysis) from the years 2006 to 2011 continues the long tradition of the previous volumes, which reflect the general trends of Asymptotic Geometric Analysis, understood in a broad sense, and are a source of inspiration for new research. Most of the papers deal with various aspects of the …… 閱讀更多內容

    $359.49 HKD

  • On Extended Hardy-Hilbert Integral Inequalities and Applications

    由 Bicheng Yang, Michael Th Rassias ……
    Hilbert-type inequalities, including Hilbert's inequalities proved in 1908, Hardy-Hilbert-type inequalities proved in 1934, and Yang-Hilbert-type inequalities first proved around 1998, play an important role in analysis and its applications. These inequalities are mainly divided in three classes: integral, discrete and half-discrete. During the last twenty years, there have been many research …… 閱讀更多內容

    $436.29 HKD