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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

    $619.19 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

    $547.17 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

    $619.19 HKD

  • Infinite Dimensional Analysis, Quantum Probability and Applications

    QP41 Conference, Al Ain, UAE, March 28–April 1, 2021

    系列 series Springer Nature Proceedings excluding Computer Science
    This proceedings volume gathers selected, peer-reviewed papers presented at the 41st International Conference on Infinite Dimensional Analysis, Quantum Probability and Related Topics (QP41) that was virtually held at the United Arab Emirates University (UAEU) in Al Ain, Abu Dhabi, from March 28th to April 1st, 2021. The works cover recent developments in quantum probability and infinite …… 閱讀更多內容

    $1,170.39 HKD

  • Foundations of Quantitative Finance: Book III. The Integrals of Riemann, Lebesgue and (Riemann-)Stieltjes

    Robert R. Reitano ……
    系列 第 3 冊 - Chapman and Hall/CRC Financial Mathematics Series
    Every financial professional wants and needs an advantage. A firm foundation in advanced mathematics can translate into dramatic advantages to professionals willing to obtain it. Many are not—and that is the advantage these books offer the astute reader.Published under the collective title of Foundations of Quantitative Finance, this set of ten books presents the advanced mathematics finance …… 閱讀更多內容

    $820.80 HKD

  • Index Theory Beyond the Fredholm Case

    系列 series Mathematics and Statistics (R0)
    This book is about extending index theory to some examples where non-Fredholm operators arise. It focuses on one aspect of the problem of what replaces the notion of spectral flow and the Fredholm index when the operators in question have zero in their essential spectrum. Most work in this topic stems from the so-called Witten index that is discussed at length here. The new direction described in …… 閱讀更多內容

    $501.59 HKD

  • State Space Consistency and Differentiability

    Demetrios Serakos ……
    系列 series Mathematics and Statistics (R0)
    By investigating the properties of the natural state, this book presents an analysis of input-output systems with regard to the mathematical concept of state. The state of a system condenses the effects of past inputs to the system in a useful manner. This monograph emphasizes two main properties of the natural state; the first has to do with the possibility of determining the input-output system …… 閱讀更多內容

    $417.99 HKD

  • Regular Functions of a Quaternionic Variable

    系列 series Mathematics and Statistics (R0)
    This book surveys the foundations of the theory of slice regular functions over the quaternions, introduced in 2006, and gives an overview of its generalizations and applications.As in the case of other interesting quaternionic function theories, the original motivations were the richness of the theory of holomorphic functions of one complex variable and the fact that quaternions form the only …… 閱讀更多內容

    $835.99 HKD

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

    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

    $835.99 HKD

  • Functional Equations And Inequalities: Solutions And Stability Results

    系列 第 21 冊 - Series On Concrete And Applicable Mathematics
    This volume covers the topic in functional equations in a broad sense and is written by authors who are in this field for the past 50 years. It contains the basic notions of functional equations, the methods of solving functional equations, the growth of functional equations in the last four decades and an extensive reference list on fundamental research papers that investigate the stability …… 閱讀更多內容

    $323.69 HKD

  • Rigorous Time Slicing Approach to Feynman Path Integrals

    Daisuke Fujiwara ……
    系列 series Mathematics and Statistics (R0)
    This book proves that Feynman's original definition of the path integral actually converges to the fundamental solution of the Schrödinger equation at least in the short term if the potential is differentiable sufficiently many times and its derivatives of order equal to or higher than two are bounded. The semi-classical asymptotic formula up to the second term of the fundamental solution is also …… 閱讀更多內容

    $1,003.19 HKD

  • Mathematische Grundlagen der Quantenmechanik

    Robert Denk ……
    Wichtige in der Quantenmechanik auftretende Begriffe mathematisch präzise und ausführlich zu erklären und anzuwenden – das ist das Ziel des vorliegenden Buches. Die Axiome der Quantenmechanik können in wenigen Zeilen formuliert werden, stecken aber voller mathematisch anspruchsvoller Begriffe. In diesem Buch werden die wichtigsten Konzepte erläutert, welche zum Verständnis der Quantenmechanik …… 閱讀更多內容

    $222.59 HKD

  • Harmonic Analysis on Exponential Solvable Lie Groups

    系列 series Mathematics and Statistics (R0)
    This book is the first one that brings together recent results on the harmonic analysis of exponential solvable Lie groups. There still are many interesting open problems, and the book contributes to the future progress of this research field. As well, various related topics are presented to motivate young researchers.The orbit method invented by Kirillov is applied to study basic problems in the …… 閱讀更多內容

    $835.99 HKD

  • Bi-Continuous Operator Semigroups

    From Theory to Applications

    Christian Budde ……
    系列 series Mathematics and Statistics (R0)
    This monograph serves two primary purposes. First, it provides a comprehensive treatment of bi-continuous semigroup theory and its applications, ranging from network theory to control theory. The exposition proceeds systematically from fundamental theory through approximation methods, extrapolation techniques as well as perturbation theory, concluding with applications to networks, mean ergodicity …… 閱讀更多內容

    $459.79 HKD

  • Creating Symmetry

    The Artful Mathematics of Wallpaper Patterns

    Frank A. Farris ……
    A step-by-step illustrated introduction to the astounding mathematics of symmetryThis lavishly illustrated book provides a hands-on, step-by-step introduction to the intriguing mathematics of symmetry. Instead of breaking up patterns into blocks—a sort of potato-stamp method—Frank Farris offers a completely new waveform approach that enables you to create an endless variety of rosettes, friezes, …… 閱讀更多內容

    $197.09 HKD

  • Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality II

    Applications

    Atsushi Yagi ……
    系列 series Mathematics and Statistics (R0)
    This second volume continues the study on asymptotic convergence of global solutions of parabolic equations to stationary solutions by utilizing the theory of abstract parabolic evolution equations and the Łojasiewicz–Simon gradient inequality. In the first volume of the same title, after setting the abstract frameworks of arguments, a general convergence theorem was proved under the four …… 閱讀更多內容

    $543.39 HKD

  • Advanced Functional Analysis

    Functional analysis and operator theory are widely used in the description, understanding and control of dynamical systems and natural processes in physics, chemistry, medicine and the engineering sciences. Advanced Functional Analysis is a self-contained and comprehensive reference for advanced functional analysis and can serve as a guide for related research. The book can be used as a textbook …… 閱讀更多內容

    $539.35 HKD

  • Generalized Adjoint Systems

    Demetrios Serakos ……
    系列 series Mathematics and Statistics (R0)
    This book defines and develops the generalized adjoint of an input-output system. It is the result of a theoretical development and examination of the generalized adjoint concept and the conditions under which systems analysis using adjoints is valid. Results developed in this book are useful aids for the analysis and modeling of physical systems, including the development of guidance and control …… 閱讀更多內容

    $417.99 HKD

  • Exploring Mathematical Analysis, Approximation Theory, and Optimization

    270 Years Since A.-M. Legendre’s Birth

    系列 series Mathematics and Statistics (R0)
    This book compiles research and surveys devoted to the areas of mathematical analysis, approximation theory, and optimization. Being dedicated to A.-M. Legendre's work, contributions to this volume are devoted to those branches of mathematics and its applications that have been influenced, directly or indirectly, by the mathematician. Additional contributions provide a historical background as it …… 閱讀更多內容

    $1,003.19 HKD

  • Integral Theorems for Functions and Differential Forms in C(m)

    系列 series Chapman & Hall/CRC Research Notes in Mathematics Series
    The theory of holomorphic functions of several complex variables emerged from the attempt to generalize the theory in one variable to the multidimensional situation. Research in this area has led to the discovery of many sophisticated facts, structures, ideas, relations, and applications. This deepening of knowledge, however, has also revealed more …… 閱讀更多內容

    $1,993.55 HKD

  • Problems and Solutions in Banach Spaces, Hilbert Spaces, Fourier Transform, Wavelets, Generalized Functions and Quantum Mechanics

    This book presents a collection of problems and solutions in functional analysis with applications to quantum mechanics. Emphasis is given to Banach spaces, Hilbert spaces and generalized functions.The material of this volume is self-contained, whereby each chapter comprises an introduction with the relevant notations, definitions, and theorems. The approach in this volume is to provide students …… 閱讀更多內容

    $379.99 HKD

  • Uniform Spaces and Measures

    Jan Pachl ……
    系列 第 30 冊 - Fields Institute Monographs
    This book addresses the need for an accessible comprehensive exposition of the theory of uniform measures; the need that became more critical when recently uniform measures reemerged in new results in abstract harmonic analysis. Until now, results about uniform measures have been scattered through many papers written by a number of authors, some unpublished, written using a variety of definitions …… 閱讀更多內容

    $752.39 HKD

  • Taylor Coefficients and Coefficient Multipliers of Hardy and Bergman-Type Spaces

    系列 第 2 冊 - RSME Springer Series
    This book provides a systematic overview of the theory of Taylor coefficients of functions in some classical spaces of analytic functions and especially of the coefficient multipliers between spaces of Hardy type. Offering a comprehensive reference guide to the subject, it is the first of its kind in this area. After several introductory chapters covering the basic material, a large variety of …… 閱讀更多內容

    $919.59 HKD

  • Weakly Stationary Random Fields, Invariant Subspaces and Applications

    The first book to examine weakly stationary random fields and their connections with invariant subspaces (an area associated with functional analysis). It reviews current literature, presents central issues and most important results within the area. For advanced Ph.D. students, researchers, especially those conducting research on Gaussian theory. …… 閱讀更多內容

    $531.54 HKD