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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

  • 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

  • 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

  • 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

  • The Theory of H(b) Spaces: Volume 2

    系列 第 21 冊 - New Mathematical Monographs
    An H(b) space is defined as a collection of analytic functions that are in the image of an operator. The theory of H(b) spaces bridges two classical subjects, complex analysis and operator theory, which makes it both appealing and demanding. Volume 1 of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, …… 閱讀更多內容

    $1,464.09 HKD

  • New Prospects in Direct, Inverse and Control Problems for Evolution Equations

    系列 series Mathematics and Statistics (R0)
    This book, based on a selection of talks given at a dedicated meeting in Cortona, Italy, in June 2013, shows the high degree of interaction between a number of fields related to applied sciences. Applied sciences consider situations in which the evolution of a given system over time is observed, and the related models can be formulated in terms of evolution equations (EEs). These equations have …… 閱讀更多內容

    $410.49 HKD

  • Paul Lévy and Maurice Fréchet

    50 Years of Correspondence in 107 Letters

    系列 series Mathematics and Statistics (R0)
    The fascinating correspondence between Paul Lévy and Maurice Fréchet spans an extremely active period in French mathematics during the twentieth century. The letters of these two Frenchmen show their vicissitudes of research and passionate enthusiasm for the emerging field of modern probability theory. The letters cover various topics of mathematical importance including academic careers and …… 閱讀更多內容

    $410.49 HKD

  • Ghent Analysis and PDE Seminar

    Extended Abstracts 2023/2024

    系列 series Springer Nature Proceedings excluding Computer Science
    This book offers an overview of the research results presented by group members and guests of the Ghent Analysis & PDE Center during the weekly Ghent analysis and PDE Seminar in 2023–2024. It is the second book in the series of books dedicated to the seminar. The seminar is an informal event of the Analysis & PDE Center and associated researchers, where everyone can present their work or relevant …… 閱讀更多內容

    $1,642.19 HKD

  • Functional Analytic Methods for Heat Green Operators

    Heat Kernel Asymptotics via the Weyl-Hörmander Calculus

    由 Kazuaki Taira ……
    系列 series Mathematics and Statistics (R0)
    This monograph guides the reader to the mathematical crossroads of heat equations and differential geometry via functional analysis. Following the recent trend towards constructive methods in the theory of partial differential equations, it makes extensive use of the ideas and techniques from the Weyl–Hörmander calculus of pseudo-differential operators to study heat Green operators through …… 閱讀更多內容

    $821.09 HKD

  • From Classical Analysis to Analysis on Fractals

    A Tribute to Robert Strichartz, Volume 1

    系列 series Mathematics and Statistics (R0)
    Over the course of his distinguished career, Robert Strichartz (1943-2021) had a substantial impact on the field of analysis with his deep, original results in classical harmonic, functional, and spectral analysis, and in the newly developed analysis on fractals. This is the first volume of a tribute to his work and legacy, featuring chapters that reflect his mathematical interests, written by his …… 閱讀更多內容

    $1,067.39 HKD

  • Real and Complex Analysis

    Volume 1

    系列 series Textbooks in Mathematics
    This unique book develops the subject of analysis organically, by presenting techniques and concepts that apply more generally to functions of various types. By considering these various function types together (real-valued functions of a single or several real variables, vector-valued functions of a single or several real variables, and complex functions), the student can better appreciate what …… 閱讀更多內容

    $1,057.08 HKD

  • Competing Operators and Their Applications to Boundary Value Problems

    系列 series Mathematics and Statistics (R0)
    This book addresses problems driven by differential operators that lack monotonicity. The authors’ methods rely on coercivity and continuity, allowing for the construction of an approximative scheme whose convergence is induced by coercivity.This observation leads to a new type of solution, which is precisely a limit of finite-dimensional approximation schemes and leads to the weak solution, …… 閱讀更多內容

    $369.49 HKD

  • Geometric Analysis of PDEs and Several Complex Variables

    In Honor of Jorge Hounie's 75th Birthday, Serra Negra, Brazil, July 31–August 4, 2023

    系列 series Springer Nature Proceedings excluding Computer Science
    This volume convenes selected, peer-reviewed papers presented at the international workshop dedicated to Dr. Jorge Hounie on the occasion of his 75th birthday, held in Serra Negra, Brazil, from July 31 to August 4, 2023. The papers in this volume cover areas that include several complex variables, Cauchy-Riemann geometry, and partial differential equations.An Emeritus at the Federal University of …… 閱讀更多內容

    $1,642.19 HKD

  • Measuring and Modeling by Examples

    How Mathematical Functions Can Be Used (and Misused) to Describe the World

    由 Koen Van de moortel ……
    This book starts with an anthology of mathematical functions that can be useful to describe phenomena that occur in the world we see, and how their features can be adjusted by changing their parameters. Then we have a look at the art of measuring and quantifying the world, and how to do this most efficiently and precisely.The most important part is about finding the 'pattern' in the measurements: …… 閱讀更多內容

    $246.69 HKD

  • Topics in Fixed Point Theory

    系列 series Mathematics and Statistics (R0)
    The purpose of this contributed volume is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The book presents information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in mathematical analysis as …… 閱讀更多內容

    $738.99 HKD

  • Introduction to Functional Analysis

    系列 series Mathematics and Statistics (R0)
    This textbook offers an accessible introduction to Functional Analysis, providing a solid foundation for students new to the field. It is designed to support learners with no prior background in the subject and serves as an effective guide for introductory courses, suitable for students in mathematics and other STEM disciplines.The book provides a comprehensive introduction to the essential topics …… 閱讀更多內容

    $492.59 HKD

  • Quantitative Approximations

    由 George Anastassiou ……
    Quantitative approximation methods apply in many diverse fields of research-neural networks, wavelets, partial differential equations, probability and statistics, functional analysis, and classical analysis to name just a few. For the first time in book form, Quantitative Approximations provides a thorough account of all of the significant developm …… 閱讀更多內容

    $2,192.63 HKD

  • Basic Analysis III

    Mappings on Infinite Dimensional Spaces

    由 James K. Peterson ……
    Basic Analysis III: Mappings on Infinite Dimensional Spaces is intended as a first course in abstract linear analysis. This textbook cover metric spaces, normed linear spaces and inner product spaces, along with many other deeper abstract ideas such a completeness, operators and dual spaces. These topics act as an important tool in the development of a mathematically trained scientist.Feature:Can …… 閱讀更多內容

    $1,346.83 HKD

  • Fractional Cauchy Transforms

    系列 series Monographs and Surveys in Pure and Applied Mathematics
    Presenting new results along with research spanning five decades. Fractional Cauchy Transforms provides a full treatment of the topic, from its roots in classical complex analysis to its current state. Self-contained, it includes introductory material and classical results, such as those associated with complex-valued measures on the unit circle, that form the basis of the developments that follow …… 閱讀更多內容

    $610.73 HKD

  • Grundkurs Funktionalanalysis

    由 Winfried Kaballo ……
    系列 series Life Science and Basic Disciplines (German Language)
    In diesem Buch finden Sie die Grundlagen der Funktionalanalysis, die im ersten Drittel des 20. Jahrhunderts entwickelt wurden.Ausgehend von konkreten Fragen der Analysis lernen Sie Methoden zur Untersuchung linearer Operatoren zwischen Hilberträumen und Banachräumen kennen und wenden diese auf Fourier-Reihen, lineare Integral- und Differentialgleichungen und in der Quantenmechanik an.Das Buch …… 閱讀更多內容

    $218.59 HKD

  • Stochastic Analysis and Applications

    由 Mark A. Pinsky ……
    系列 series Advances in Probability and Related Topics
    This volume attempts to exhibit current research in stochastic integration, stochastic differential equations, stochastic optimization and stochastic problems in physics and biology. It includes information on the theory of Dirichlet forms, Feynman integration and the Schrodinger's equation. …… 閱讀更多內容

    $720.36 HKD

  • Special Techniques For Solving Integrals: Examples And Problems

    This volume contains techniques of integration which are not found in standard calculus and advanced calculus books. It can be considered as a map to explore many classical approaches to evaluate integrals. It is intended for students and professionals who need to solve integrals or like to solve integrals and yearn to learn more about the various methods they could apply. Undergraduate and …… 閱讀更多內容

    $324.19 HKD

  • Morse Theory for Hamiltonian Systems

    系列 series Chapman & Hall/CRC Research Notes in Mathematics Series
    This Research Note explores existence and multiplicity questions for periodic solutions of first order, non-convex Hamiltonian systems. It introduces a new Morse (index) theory that is easier to use, less technical, and more flexible than existing theories and features techniques and results that, until now, have appeared only in scattered journals …… 閱讀更多內容

    $1,840.17 HKD

  • Symbolic Dynamical Systems and C*-Algebras

    Continuous Orbit Equivalence of Topological Markov Shifts and Cuntz–Krieger Algebras

    由 Kengo Matsumoto ……
    系列 series Mathematics and Statistics (R0)
    This book presents the interplay between topological Markov shifts and Cuntz–Krieger algebras by providing notations, techniques, and ideas in detail. The main goal of this book is to provide a detailed proof of a classification theorem for continuous orbit equivalence of one-sided topological Markov shifts. The continuous orbit equivalence of one-sided topological Markov shifts is classified in …… 閱讀更多內容

    $1,313.69 HKD