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功能分析 電子書

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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 …… 閱讀更多內容

    $620.29 HKD

  • Fourier Analysis

    An Introduction

    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

    $620.29 HKD

  • Real Analysis

    With Proof Strategies

    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

    $548.08 HKD

  • Functional Analysis and Applied Optimization in Banach Spaces

    Applications to Non-Convex Variational Models

    由 Fabio Botelho ……
    This book introduces the basic concepts of real and functional analysis. It presents the fundamentals of the calculus of variations, convex analysis, duality, and optimization that are necessary to develop applications to physics and engineering problems. The book includes introductory and advanced concepts in measure and integration, as well as an introduction to Sobolev spaces. The problems …… 閱讀更多內容

    $985.29 HKD

  • Theory of Approximate Functional Equations

    In Banach Algebras, Inner Product Spaces and Amenable Groups

    Presently no other book deals with the stability problem of functional equations in Banach algebras, inner product spaces and amenable groups. Moreover, in most stability theorems for functional equations, the completeness of the target space of the unknown functions contained in the equation is assumed. Recently, the question, whether the stability of a functional equation implies this …… 閱讀更多內容

    $527.89 HKD

  • Systems with Persistent Memory

    Controllability, Stability, Identification

    由 Luciano Pandolfi ……
    系列 series Mathematics and Statistics (R0)
    This text addresses systems with persistent memory that are common mathematical models used in the study of viscoelasticity and thermodynamics with memory. In particular, this class of systems is used to model non-Fickian diffusion in the presence of complex molecular structures. Hence, it has wide applications in biology.The book focuses on the properties and controllability of the archetypal …… 閱讀更多內容

    $985.29 HKD

  • Functional Equations in Applied Sciences

    系列 第 199 冊 - Mathematics in Science and Engineering
    The book provides the reader with the different types of functional equations that s/he can find in practice, showing, step by step, how they can be solved.A general methodology for solving functional equations is provided in Chapter 2. The different types of functional equations are described and solved in Chapters 3 to 8. Many examples, coming from different fields, as geometry, science, …… 閱讀更多內容

    $1,903.69 HKD

  • Inverse Problems and Applications

    編輯者: Larisa Beilina ……
    系列 series Springer Nature Proceedings excluding Computer Science
    This volume arose from the Third Annual Workshop on Inverse Problems, held in Stockholm on May 2-6, 2012. The proceedings present new analytical developments and numerical methods for solutions of inverse and ill-posed problems, which consistently pose complex challenges to the development of effective numerical methods. The book highlights recent research focusing on reliable numerical techniques …… 閱讀更多內容

    $738.99 HKD

  • Recent Developments in Spectral and Approximation Theory

    Proceedings of the International Conference on Spectral and Approximation Theory (ICSAT-2023)

    系列 series Springer Nature Proceedings excluding Computer Science
    This book is a collection of recent developments in spectral and approximation theory. The results collected here were presented at the International Conference on Spectral and Approximation Theory (ICSAT-2023) which took place at Cochin University of Science and Technology in Kerala, India. The conference ICSAT-2023 focuses on two significant areas in mathematics: spectral theory and …… 閱讀更多內容

    $1,798.29 HKD

  • Peripheral Spectra of Perturbed Positive Semigroups

    Applications to Transport Theory and Related Fields

    系列 series Mathematics and Statistics (R0)
    This monograph provides new functional analytic developments on spectral problems in various applied fields such as jump equations, Kolmogorov differential equations, weighted graphs, neutron transport theory, population dynamics, linearized non-local Allen–Cahn equations and perturbed convolution semigroups. With an emphasis on spectral problems (in Lebesgue spaces) connected to positivity, it …… 閱讀更多內容

    $656.89 HKD

  • Convex Analysis

    由 Steven G. Krantz ……
    系列 series Textbooks in Mathematics
    Convexity is an ancient idea going back to Archimedes. Used sporadically in mathematical literature over the centuries, today it is a flourishing area of research. Convexity is used in optimization theory, functional analysis, complex analysis, and other parts of mathematics.This text, popular in its first edition, introduces analytic tools for studying convexity and provides analytical …… 閱讀更多內容

    $579.40 HKD

  • Dynamic Equations on Time Scales and Applications

    This book presents the theory of dynamic equations on time scales and applications, providing an overview of recent developments in the foundations of the field as well as its applications. It discusses the recent results related to the qualitative properties of solutions like existence and uniqueness, stability, continuous dependence, controllability, oscillations, etc.Presents cutting-edge …… 閱讀更多內容

    $610.73 HKD

  • Fixed Point Results in W-Distance Spaces

    系列 series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    Fixed Point Results in W-Distance Spaces is a self-contained and comprehensive reference for advanced fixed-point theory and can serve as a useful guide for related research. The book can be used as a teaching resource for advanced courses on fixed-point theory, which is a modern and important field in mathematics. It would be especially valuable for graduate and postgraduate courses and seminars …… 閱讀更多內容

    $1,840.17 HKD

  • Principles Of Applied Mathematics

    Transformation And Approximation

    由 James P. Keener ……
    This book is primarily about the principles that one uses to solve problems in applied mathematics. It is written for beginning graduate students in applied mathematics, science, and engineering, and is appropriate as a one-year course in applied mathematical techniques. …… 閱讀更多內容

    $947.45 HKD

  • Neutrices and External Numbers

    A Flexible Number System

    系列 series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    Neutrices and External Numbers: A Flexible Number System introduces a new model of orders of magnitude and of error analysis, with particular emphasis on behaviour under algebraic operations. The model is formulated in terms of scalar neutrices and external numbers, in the form of an extension of the nonstandard set of real numbers. Many illustrative examples are given. The book starts with …… 閱讀更多內容

    $1,840.17 HKD

  • Control Of Nonlinear Distributed Parameter Systems

    編輯者: Goong Chen, Irena Lasiecka, Jianxin Zhou ……
    An examination of progress in mathematical control theory applications. It provides analyses of the influence and relationship of nonlinear partial differential equations to control systems and contains state-of-the-art reviews, including presentations from a conference co-sponsored by the National Science Foundation, the Institute of Mathematics a …… 閱讀更多內容

    $2,310.10 HKD

  • Theory of Stability of Continuous Elastic Structures

    系列 series Engineering Mathematics
    Theory of Stability of Continuous Elastic Structures presents an applied mathematical treatment of the stability of civil engineering structures. The book's modern and rigorous approach makes it especially useful as a text in advanced engineering courses and an invaluable reference for engineers. …… 閱讀更多內容

    $1,918.48 HKD

  • Strongly Irreducible Operators on Hilbert Space

    由 ChunLan Jiang ……
    系列 series Chapman & Hall/CRC Research Notes in Mathematics Series
    This volume provides a comprehensive treatment of strongly irreducible operators acting on a complex separable infinite dimensional Hilbert space, and to expose and reflect the internal structure of operators by analyzing and studying irreducibility of operators. Much of the material presented here appears in book form for the first time. …… 閱讀更多內容

    $1,996.79 HKD

  • From Approximate Variation to Pointwise Selection Principles

    系列 series Mathematics and Statistics (R0)
    The book addresses the minimization of special lower semicontinuous functionals over closed balls in metric spaces, called the approximate variation. The new notion of approximate variation contains more information about the bounded variation functional and has the following features: the infimum in the definition of approximate variation is not attained in general and the total Jordan variation …… 閱讀更多內容

    $410.49 HKD

  • Tomita's Lectures on Observable Algebras in Hilbert Space

    由 Atsushi Inoue ……
    系列 series Mathematics and Statistics (R0)
    This book is devoted to the study of Tomita's observable algebras, their structure and applications.It begins by building the foundations of the theory of T*-algebras and CT*-algebras, presenting the major results and investigating the relationship between the operator and vector representations of a CT*-algebra. It is then shown via the representation theory of locally convex*-algebras that this …… 閱讀更多內容

    $451.59 HKD

  • Set Operads in Combinatorics and Computer Science

    由 Miguel A. Méndez ……
    系列 series Mathematics and Statistics (R0)
    This monograph has two main objectives. The first one is to give a self-contained exposition of the relevant facts about set operads, in the context of combinatorial species and its operations. This approach has various advantages: one of them is that the definition of combinatorial operations on species, product, sum, substitution and derivative, are simple and natural. They were designed as the …… 閱讀更多內容

    $410.49 HKD

  • Inverse Spectral and Scattering Theory

    An Introduction

    由 Hiroshi Isozaki ……
    系列 series Mathematics and Statistics (R0)
    The aim of this book is to provide basic knowledge of the inverse problems arising in various areas in mathematics, physics, engineering, and medical science. These practical problems boil down to the mathematical question in which one tries to recover the operator (coefficients) or the domain (manifolds) from spectral data. The characteristic properties of the operators in question are often …… 閱讀更多內容

    $574.69 HKD

  • Trends in Applications of Mathematics to Mechanics

    系列 series Mathematics and Statistics (R0)
    This volume originates from the INDAM Symposium on Trends on Applications of Mathematics to Mechanics (STAMM), which was held at the INDAM headquarters in Rome on 5–9 September 2016. It brings together original contributions at the interface of Mathematics and Mechanics. The focus is on mathematical models of phenomena issued from various applications. These include thermomechanics of solids and …… 閱讀更多內容

    $903.19 HKD

  • Fourier Analysis

    Analytic and Geometric Aspects

    編輯者: William O. Bray ……
    系列 series Lecture Notes in Pure and Applied Mathematics
    Providing complete expository and research papers on the geometric and analytic aspects of Fourier analysis, this work discusses new approaches to classical problems in the theory of trigonometric series, singular integrals/pseudo-differential operators, Fourier analysis on various groups, numerical aspects of Fourier analysis and their applications, wavelets and more. …… 閱讀更多內容

    $3,445.57 HKD