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功能分析 電子書

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  • A Compact Course on Linear PDEs

    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

  • The Scottish Book

    Mathematics from The Scottish Café, with Selected Problems from The New Scottish Book

    編輯者: R. Daniel Mauldin ……
    系列 series Mathematics and Statistics (R0)
    The second edition of this book updates and expands upon a historically important collection of mathematical problems first published in the United States by Birkhäuser in 1981. These problems serve as a record of the informal discussions held by a group of mathematicians at the Scottish Café in Lwów, Poland, between the two world wars. Many of them were leaders in the development of such areas as …… 閱讀更多內容

    NT$4,869 TWD

  • Geometric Aspects of General Topology

    Katsuro Sakai ……
    系列 series Mathematics and Statistics (R0)
    This book is designed for graduate students to acquire knowledge of simplicial complexes, Dimension Theory, ANR Theory (Theory of Retracts), and related topics. These theories are connected with various fields in Geometric Topology, Algebraic Topology as well as General Topology. Except for the second half of the last chapter, this book is entirely self-contained. To make the ideas of proofs easier …… 閱讀更多內容

    NT$6,608 TWD

  • Semigroups, Algebras and Operator Theory

    Kochi, India, February 2014

    編輯者: P G Romeo, John. C Meakin, A R Rajan ……
    系列 series Springer Nature Proceedings excluding Computer Science
    This book discusses recent developments in semigroup theory and its applications in areas such as operator algebras, operator approximations and category theory. All contributing authors are eminent researchers in their respective fields, from across the world. Their papers, presented at the 2014 International Conference on Semigroups, Algebras and Operator Theory in Cochin, India, focus on recent …… 閱讀更多內容

    NT$3,130 TWD

  • Mathematical Physics and Its Interactions

    In Honor of the 60th Birthday of Tohru Ozawa, Tokyo, Japan, August 2021

    編輯者: Shuji Machihara ……
    系列 series Springer Nature Proceedings excluding Computer Science
    This publication comprises research papers contributed by the speakers, primarily based on their planned talks at the meeting titled 'Mathematical Physics and Its Interactions,' initially scheduled for the summer of 2021 in Tokyo, Japan. It celebrates Tohru Ozawa's 60th birthday and his extensive contributions in many fields.The works gathered in this volume explore interactions between …… 閱讀更多內容

    NT$6,955 TWD

  • Extended Abstracts Fall 2019

    Spaces of Analytic Functions: Approximation, Interpolation, Sampling

    系列 series Springer Nature Proceedings excluding Computer Science
    This book collects the abstracts of the mini-courses and lectures given during the Intensive Research Program “Spaces of Analytic Functions: Approximation, Interpolation, Sampling” which was held at the Centre de Recerca Matemàtica (Barcelona) in October–December, 2019.The topics covered in this volume are approximation, interpolation and sampling problems in spaces of analytic functions, their …… 閱讀更多內容

    NT$3,825 TWD

  • Fractal Analysis: Basic Concepts And Applications

    系列 第 91 冊 - Series On Advances In Mathematics For Applied Sciences
    The aim of this book is to provide a basic and self-contained introduction to the ideas underpinning fractal analysis. The book illustrates some important applications issued from real data sets, real physical and natural phenomena as well as real applications in different fields, and consequently, presents to the readers the opportunity to implement fractal analysis in their specialties according …… 閱讀更多內容

    NT$1,164 TWD

  • Esercizi svolti di Analisi Reale e Funzionale

    Il presente volume è una raccolta organica di esercizi svolti di Analisi Reale e Funzionale. Le soluzioni sono esposte in dettaglio, con connessioni alla teoria. L’opera è indirizzata principalmente a studenti di Matematica, Fisica e Ingegneria, che affrontano argomenti di teoria della misura e di analisi funzionale in corsi avanzati di Analisi Matematica.Il libro è suddiviso nei seguenti capitoli …… 閱讀更多內容

    NT$1,200 TWD

  • Measure of Noncompactness, Fixed Point Theorems, and Applications

    The theory of the measure of noncompactness has proved its significance in various contexts, particularly in the study of fixed point theory, differential equations, functional equations, integral and integrodifferential equations, optimization, and others. This edited volume presents the recent developments in the theory of the measure of noncompactness and its applications in pure and applied …… 閱讀更多內容

    NT$2,587 TWD

  • Elementary Introduction to the Lebesgue Integral

    Steven G. Krantz ……
    系列 series Textbooks in Mathematics
    Elementary Introduction to the Lebesgue Integral is not just an excellent primer of the Lebesgue integral for undergraduate students but a valuable tool for tomorrow’s mathematicians. Since the early twentieth century, the Lebesgue integral has been a mainstay of mathematical analysis because of its important properties with respect to limits. For this reason, it is vital that mathematical …… 閱讀更多內容

    NT$3,283 TWD

  • A First Course in Functional Analysis

    Orr Moshe Shalit ……
    Written as a textbook, A First Course in Functional Analysis is an introduction to basic functional analysis and operator theory, with an emphasis on Hilbert space methods. The aim of this book is to introduce the basic notions of functional analysis and operator theory without requiring the student to have taken a course in measure theory as a prerequisite. It is written and structured the way a …… 閱讀更多內容

    NT$2,454 TWD

  • Stochastic Analysis for Gaussian Random Processes and Fields

    With Applications

    系列 series Chapman & Hall/CRC Monographs on Statistics and Applied Probability
    Stochastic Analysis for Gaussian Random Processes and Fields: With Applications presents Hilbert space methods to study deep analytic properties connecting probabilistic notions. In particular, it studies Gaussian random fields using reproducing kernel Hilbert spaces (RKHSs).The book begins with preliminary results on covariance and associated RKHS …… 閱讀更多內容

    NT$2,354 TWD

  • Introduction to Functional Equations

    Introduction to Functional Equations grew out of a set of class notes from an introductory graduate level course at the University of Louisville. This introductory text communicates an elementary exposition of valued functional equations where the unknown functions take on real or complex values. In order to make the presentation as manageable as p …… 閱讀更多內容

    NT$3,681 TWD

  • Isometries on Banach Spaces

    function spaces

    系列 series Monographs and Surveys in Pure and Applied Mathematics
    Fundamental to the study of any mathematical structure is an understanding of its symmetries. In the class of Banach spaces, this leads naturally to a study of isometries-the linear transformations that preserve distances. In his foundational treatise, Banach showed that every linear isometry on the space of continuous functions on a compact metric …… 閱讀更多內容

    NT$3,151 TWD

  • Lineability

    The Search for Linearity in Mathematics

    系列 series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    Renewed interest in vector spaces and linear algebras has spurred the search for large algebraic structures composed of mathematical objects with special properties. Bringing together research that was otherwise scattered throughout the literature, Lineability: The Search for Linearity in Mathematics collects the main results on the conditions for …… 閱讀更多內容

    NT$2,819 TWD

  • Banach Limit and Applications

    Banach Limit and Applications provides all the results in the area of Banach Limit, its extensions, generalizations, and applications to various fields in one go (as far as possible). All the results in this field, after Banach introduced this concept in 1932, were scattered till now.Sublinear functionals generating and dominating Banach Limit, unique Banach Limit (almost convergence), invariant …… 閱讀更多內容

    NT$2,587 TWD

  • Hypersingular Integrals and Their Applications

    Stefan Samko ……
    系列 series Analytical Methods and Special Functions
    Hypersingular integrals arise as constructions inverse to potential-type operators and are realized by the methods of regularization and finite differences. This volume develops these approaches in a comprehensive treatment of hypersingular integrals and their applications. The author is a renowned expert on the topic. He explains the basics before …… 閱讀更多內容

    NT$10,779 TWD

  • Nonlinear Functional Analysis in Banach Spaces and Banach Algebras

    Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications

    系列 series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    Uncover the Useful Interactions of Fixed Point Theory with Topological StructuresNonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications is the first book to tackle the topological fixed point theory for block operator matrices w …… 閱讀更多內容

    NT$7,794 TWD

  • Functional and Shape Data Analysis

    系列 series Mathematics and Statistics (R0)
    This textbook for courses on function data analysis and shape data analysis describes how to define, compare, and mathematically represent shapes, with a focus on statistical modeling and inference. It is aimed at graduate students in analysis in statistics, engineering, applied mathematics, neuroscience, biology, bioinformatics, and other related areas. The interdisciplinary nature of the broad …… 閱讀更多內容

    NT$3,825 TWD

  • Introduction to Analysis

    Theorems and Examples

    Hidefumi Katsuura ……
    系列 series Synthesis Collection of Technology (R0)
    This book focuses on the theoretical aspects of calculus. The book begins with a chapter on set theory before thoroughly discussing real numbers, then moves onto sequences, series, and their convergence. The author explains why an understanding of real numbers is essential in order to create a foundation for studying analysis. Since the Cantor set is elusive to many, a section is devoted to binary …… 閱讀更多內容

    NT$1,565 TWD

  • Spectral Theory and Quantum Mechanics

    Mathieu Lewin ……
    系列 series Mathematics and Statistics (R0)
    This textbook presents the spectral theory of self-adjoint operators on Hilbert space and its applications in quantum mechanics. Based on a course taught by the author in Paris, the book not only covers the mathematical theory but also provides its physical interpretation, offering an accessible introduction to quantum mechanics for students with a background in mathematics. The presentation …… 閱讀更多內容

    NT$1,739 TWD

  • Multidimensional Periodic Schrödinger Operator

    Perturbation Theories for High Energy Regions and Their Applications

    Oktay Veliev ……
    系列 series Physics and Astronomy (R0)
    This book describes the direct and inverse problems of the multidimensional Schrödinger operator with a periodic potential, a topic that is especially important in perturbation theory, constructive determination of spectral invariants and finding the periodic potential from the given Bloch eigenvalues. It provides a detailed derivation of the asymptotic formulas for Bloch eigenvalues and Bloch …… 閱讀更多內容

    NT$4,521 TWD

  • A Variational Theory of Convolution-Type Functionals

    系列 series Mathematics and Statistics (R0)
    This book provides a general treatment of a class of functionals modelled on convolution energies with kernel having finite p-moments. A general asymptotic analysis of such non-local functionals is performed, via Gamma-convergence, in order to show that the limit may be a local functional representable as an integral. Energies of this form are encountered in many different contexts and the …… 閱讀更多內容

    NT$1,739 TWD

  • Fundamentals of Functional Analysis

    Ammar Khanfer ……
    系列 series Mathematics and Statistics (R0)
    This textbook offers a comprehensive exploration of functional analysis, covering a wide range of topics. With over 150 solved examples and more than 320 problems, the book is designed to be both motivational and user-friendly for students for graduate courses in mathematics, providing clear and thorough explanations of all concepts. The second volume in a three-part series, this book delves into …… 閱讀更多內容

    NT$2,086 TWD