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功能分析 電子書

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  • A Compact Course on Linear PDEs

    由 Alberto Valli ……
    系列 series Mathematics and Statistics (R0)
    This textbook is devoted to second order linear partial differential equations. The focus is on variational formulations in Hilbert spaces. It contains elliptic equations, including the biharmonic problem, some useful notes on functional analysis, a brief presentation of Sobolev spaces and their properties, some basic results on Fredholm alternative and spectral theory, saddle point problems, …… 閱讀更多內容

    NT$2,261 TWD

  • Regular Functions of a Quaternionic Variable

    由 Graziano Gentili, Caterina Stoppato, Daniele C. Struppa ……
    系列 series Mathematics and Statistics (R0)
    The theory of slice regular functions over quaternions is the central subject of the present volume. This recent theory has expanded rapidly, producing a variety of new results that have caught the attention of the international research community. At the same time, the theory has already developed sturdy foundations. The richness of the theory of the holomorphic functions of one complex variable …… 閱讀更多內容

    NT$3,130 TWD

  • Analysis and Geometry on Graphs and Manifolds

    編輯者: Matthias Keller, Daniel Lenz, Radoslaw K. Wojciechowski ……
    系列 第 461 冊 - London Mathematical Society Lecture Note Series
    The interplay of geometry, spectral theory and stochastics has a long and fruitful history, and is the driving force behind many developments in modern mathematics. Bringing together contributions from a 2017 conference at the University of Potsdam, this volume focuses on global effects of local properties. Exploring the similarities and differences between the discrete and the continuous settings …… 閱讀更多內容

    NT$3,481 TWD

  • A Spectral Theory Of Noncommuting Operators

    由 Rongwei Yang ……
    系列 series Mathematics and Statistics (R0)
    The main goal of this book is to describe various aspects of the theory of joint spectra for matrices and linear operators. It is suitable for a graduate-level topic course in spectral theory and/or representation theory. The first three chapters can also be adopted for an advanced course in linear algebra. Centered around the concept of projective spectrum, the book presents a coherent treatment …… 閱讀更多內容

    NT$1,913 TWD

  • Banach Space Aspects of Frame Theory with Applications

    由 Deguang Han, Qianfeng Hu, Bei Liu, Rui Liu ……
    系列 series Mathematics and Statistics (R0)
    This book provides an introduction to frame theory in Banach and Hilbert spaces, with a particular focus on the Banach space aspects of the frame theory and its applications. The authors present main developments from recent decades in the theory of frames, dilations, operator-valued measures, sampling, and related applications. By bridging topics from Banach space geometry, applied harmonic …… 閱讀更多內容

    NT$1,391 TWD

  • Descriptive Topology and Functional Analysis II

    In Honour of Manuel López-Pellicer Mathematical Work, Elche, Spain, June 7–8, 2018

    編輯者: Juan Carlos Ferrando ……
    系列 series Springer Nature Proceedings excluding Computer Science
    This book is the result of a meeting on Topology and Functional Analysis, and is dedicated to Professor Manuel López-Pellicer's mathematical research. Covering topics in descriptive topology and functional analysis, including topological groups and Banach space theory, fuzzy topology, differentiability and renorming, tensor products of Banach spaces and aspects of Cp-theory, this volume is …… 閱讀更多內容

    NT$3,130 TWD

  • Foundations of Symmetric Spaces of Measurable Functions

    Lorentz, Marcinkiewicz and Orlicz Spaces

    由 Ben-Zion A. Rubshtein, Genady Ya. Grabarnik, Mustafa A. Muratov, Yulia S. Pashkova ……
    系列 series Mathematics and Statistics (R0)
    Key definitions and results in symmetric spaces, particularly Lp, Lorentz, Marcinkiewicz and Orlicz spaces are emphasized in this textbook. A comprehensive overview of the Lorentz, Marcinkiewicz and Orlicz spaces is presented based on concepts and results of symmetric spaces. Scientists and researchers will find the application of linear operators, ergodic theory, harmonic analysis and …… 閱讀更多內容

    NT$1,739 TWD

  • Completeness Theorems and Characteristic Matrix Functions

    Applications to Integral and Differential Operators

    由 Marinus A. Kaashoek, Sjoerd M. Verduyn Lunel ……
    系列 series Mathematics and Statistics (R0)
    This monograph presents necessary and sufficient conditions for completeness of the linear span of eigenvectors and generalized eigenvectors of operators that admit a characteristic matrix function in a Banach space setting. Classical conditions for completeness based on the theory of entire functions are further developed for this specific class of operators. The classes of bounded operators that …… 閱讀更多內容

    NT$4,869 TWD

  • Geometric Properties for Parabolic and Elliptic PDE's

    編輯者: Rolando Magnanini, Shigeru Sakaguchi, Angelo Alvino ……
    系列 series Mathematics and Statistics (R0)
    The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings. More recently, once basic issues about PDE's, such as existence, uniqueness and stability of solutions, have been understood quite well, research on topological and/or geometric properties of their solutions has become more intense. The study of these issues is attracting the interest of an …… 閱讀更多內容

    NT$3,130 TWD

  • Applications of q-Calculus in Operator Theory

    由 Vijay Gupta, Ravi P. Agarwal, Ali Aral ……
    系列 series Mathematics and Statistics (R0)
    The approximation of functions by linear positive operators is an important research topic in general mathematics and it also provides powerful tools to application areas such as computer-aided geometric design, numerical analysis, and solutions of differential equations. q-Calculus is a generalization of many subjects, such as hypergeometric series, complex analysis, and particle physics. This …… 閱讀更多內容

    NT$1,739 TWD

  • The Mathematics of Medical Imaging

    A Beginner’s Guide

    由 Timothy G. Feeman ……
    系列 series Mathematics and Statistics (R0)
    The basic mathematics of computerized tomography, the CT scan, are aptly presented for an audience of undergraduates in mathematics and engineering. Assuming no prior background in advanced mathematical analysis, topics such as the Fourier transform, sampling, and discrete approximation algorithms are introduced from scratch and are developed within the context of medical imaging. A chapter on …… 閱讀更多內容

    NT$2,086 TWD

  • Contemporary Research in Elliptic PDEs and Related Topics

    編輯者: Serena Dipierro ……
    系列 series Mathematics and Statistics (R0)
    This volume collects contributions from the speakers at an INdAM Intensive period held at the University of Bari in 2017. The contributions cover several aspects of partial differential equations whose development in recent years has experienced major breakthroughs in terms of both theory and applications. The topics covered include nonlocal equations, elliptic equations and systems, fully …… 閱讀更多內容

    NT$3,130 TWD

  • Integral Operators in Non-Standard Function Spaces

    A Sequel: Inequalities, Sharp Estimates, Bounded Variation, and Approximation

    由 Alexander Meskhi, Humberto Rafeiro, Stefan Samko ……
    系列 series Mathematics and Statistics (R0)
    This volume, as a sequel to Volumes I-IV of “Integral Operators in Non-Standard Function Spaces”, is devoted to the authors’ most recent advances in harmonic analysis and their applications.This volume focusses on Rellich inequalities in the variable exponent and multilinear settings, trace inequalities for linear and multilinear fractional integrals, sharp weighted estimates for norms of …… 閱讀更多內容

    NT$6,260 TWD

  • Guaranteed Computational Methods for Self-Adjoint Differential Eigenvalue Problems

    由 Xuefeng Liu ……
    系列 series Mathematics and Statistics (R0)
    This monograph presents a study of newly developed guaranteed computational methodologies for eigenvalue problems of self-adjoint differential operators. It focuses on deriving explicit lower and upper bounds for eigenvalues, as well as explicit estimations for eigenfunction approximations. Such explicit error estimations rely on the finite element method (FEM) along with a new theory of explicit …… 閱讀更多內容

    NT$2,086 TWD

  • Convergence Estimates in Approximation Theory

    由 Vijay Gupta, Ravi P. Agarwal ……
    系列 series Mathematics and Statistics (R0)
    The study of linear positive operators is an area of mathematical studies with significant relevance to studies of computer-aided geometric design, numerical analysis, and differential equations. This book focuses on the convergence of linear positive operators in real and complex domains. The theoretical aspects of these operators have been an active area of research over the past few decades. In …… 閱讀更多內容

    NT$3,130 TWD

  • Esercizi di matematica: trasformate

    由 Simone Malacrida ……
    In questo libro sono svolti degli esercizi riguardo i seguenti argomenti matematici:trasformata di Fouriertrasformata di Laplacetrasformata zeta e trasformate discreteSono altresì presentati dei cenni teorici iniziali per fare comprendere lo svolgimento degli esercizi. …… 閱讀更多內容

    NT$126 TWD

  • From Particle Systems to Partial Differential Equations

    PSPDE IV, Braga, Portugal, December 2015

    編輯者: Patrícia Gonçalves, Ana Jacinta Soares ……
    系列 series Springer Nature Proceedings excluding Computer Science
    "This book addresses mathematical problems motivated by various applications in physics, engineering, chemistry and biology. It gathers the lecture notes from the mini-course presented by Jean-Christophe Mourrat on the construction of the various stochastic “basic” terms involved in the formulation of the dynamic Ö4 theory in three space dimensions, as well as selected contributions presented at …… 閱讀更多內容

    NT$4,869 TWD

  • Operator Functions And Operator Equations

    由 Michael Gil' ……
    This book is devoted to norm estimates for operator-valued functions of one and two operator arguments, as well as to their applications to spectrum perturbations of operators and to linear operator equations, i.e. to equations whose solutions are linear operators. Linear operator equations arise in both mathematical theory and engineering practice. The norm estimates suggested in the book have …… 閱讀更多內容

    NT$2,329 TWD

  • Attraction in Numerical Minimization

    Iteration Mappings, Attractors, and Basins of Attraction

    由 Adam B. Levy ……
    系列 series Mathematics and Statistics (R0)
    Numerical minimization of an objective function is analyzed in this book to understand solution algorithms for optimization problems. Multiset-mappings are introduced to engineer numerical minimization as a repeated application of an iteration mapping. Ideas from numerical variational analysis are extended to define and explore notions of continuity and differentiability of multiset-mappings, and …… 閱讀更多內容

    NT$1,739 TWD

  • Functional Analysis

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

    由 Joseph Muscat ……
    系列 series Mathematics and Statistics (R0)
    This textbook provides an introduction to functional analysis suitable for lecture courses to final year undergraduates or beginning graduates.Starting from the very basics of metric spaces, the book adopts a self-contained approach to Banach spaces and operator theory that covers the main topics, including the spectral theorem, the Gelfand transform, and Banach algebras. Various applications, …… 閱讀更多內容

    NT$2,086 TWD

  • Quaternionic de Branges Spaces and Characteristic Operator Function

    由 Daniel Alpay, Fabrizio Colombo, Irene Sabadini ……
    系列 series Mathematics and Statistics (R0)
    This work contributes to the study of quaternionic linear operators. This study is a generalization of the complex case, but the noncommutative setting of quaternions shows several interesting new features, see e.g. the so-called S-spectrum and S-resolvent operators. In this work, we study de Branges spaces, namely the quaternionic counterparts of spaces of analytic functions (in a suitable sense) …… 閱讀更多內容

    NT$1,913 TWD

  • Advanced Abacus

    Theory and Practice

    由 Takashi Kojima ……
    This handy guide will take abacus users from beginner to master level in a very short time.Though the Japanese abacus may appear mysterious or even primitive, this intriguing tool is capable of amazing speed and accuracy. it is still widely used throughout the shop and markets of Asia and its popularity shows no sign of decline.This volume is designed for the student desiring a greater …… 閱讀更多內容

    NT$238 TWD

  • Advances in Nonlinear Analysis via the Concept of Measure of Noncompactness

    編輯者: Józef Banaś, Calogero Vetro, Mohammad Mursaleen, Bessem Samet, Mohamed Jleli ……
    系列 series Mathematics and Statistics (R0)
    This book offers a comprehensive treatment of the theory of measures of noncompactness. It discusses various applications of the theory of measures of noncompactness, in particular, by addressing the results and methods of fixed-point theory. The concept of a measure of noncompactness is very useful for the mathematical community working in nonlinear analysis. Both these theories are especially …… 閱讀更多內容

    NT$3,478 TWD

  • The Kadison-Singer Property

    由 Marco Stevens ……
    系列 第 14 冊 - SpringerBriefs in Mathematical Physics
    This book gives a complete classification of all algebras with the Kadison-Singer property, when restricting to separable Hilbert spaces. The Kadison-Singer property deals with the following question: given a Hilbert space H and an abelian unital C*-subalgebra A of B(H), does every pure state on A extend uniquely to a pure state on B(H)? This question has deep connections to fundamental aspects of …… 閱讀更多內容

    NT$1,739 TWD