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功能分析 電子書

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顯示第 1 － 24 個結果，共 1317 個
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  • Functional Analysis

    Introduction to Further Topics in Analysis

    由 Elias M. Stein, Rami Shakarchi ……
    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

    由 Elias M. Stein, Rami Shakarchi ……
    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

    由 Daniel W. Cunningham ……
    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

  • Direct and Inverse Sturm-Liouville Problems

    A Method of Solution

    由 Vladislav V. Kravchenko ……
    系列 series Mathematics and Statistics (R0)
    This book provides an introduction to the most recent developments in the theory and practice of direct and inverse Sturm-Liouville problems on finite and infinite intervals. A universal approach for practical solving of direct and inverse spectral and scattering problems is presented, based on the notion of transmutation (transformation) operators and their efficient construction. Analytical …… 閱讀更多內容

    $451.59 HKD

  • Problems And Proofs In Real Analysis: Theory Of Measure And Integration

    由 James J Yeh ……
    This volume consists of the proofs of 391 problems in Real Analysis: Theory of Measure and Integration (3rd Edition).Most of the problems in Real Analysis are not mere applications of theorems proved in the book but rather extensions of the proven theorems or related theorems. Proving these problems tests the depth of understanding of the theorems in the main text.This volume will be especially …… 閱讀更多內容

    $380.59 HKD

  • Exercises of Galois Theory

    由 Simone Malacrida ……
    In this book, exercises are carried out regarding the following mathematical topics:polynomials and symmetrical formsCauchy modules and monodromyBinomial, second-, third- and fourth-degree equations.Initial theoretical hints are also presented to make the conduct of the exercises understandable. …… 閱讀更多內容

    $27.49 HKD

  • Interface Problems for Elliptic Second-Order Equations in Non-Smooth Domains

    由 Mikhail Borsuk ……
    系列 series Mathematics and Statistics (R0)
    The goal of this book is to investigate the behavior of weak solutions to the elliptic interface problem in a neighborhood of boundary singularities: angular and conic points or edges. This problem is considered both for linear and quasi-linear equations, which are among the less studied varieties. As a second edition of Transmission Problems for Elliptic Second-Order Equations for Non-Smooth …… 閱讀更多內容

    $451.59 HKD

  • Current Trends in Mathematical Analysis and Its Interdisciplinary Applications

    編輯者: Hemen Dutta, Ljubiša D. R. Kočinac, Hari M. Srivastava ……
    系列 series Mathematics and Statistics (R0)
    This book explores several important aspects of recent developments in the interdisciplinary applications of mathematical analysis (MA), and highlights how MA is now being employed in many areas of scientific research. Each of the 23 carefully reviewed chapters was written by experienced expert(s) in respective field, and will enrich readers’ understanding of the respective research problems, …… 閱讀更多內容

    $903.19 HKD

  • Theory of Linear Operations

    由 S. Banach ……
    系列 第 38 冊 - North-Holland Mathematical Library
    This classic work by the late Stefan Banach has been translated into English so as to reach a yet wider audience. It contains the basics of the algebra of operators, concentrating on the study of linear operators, which corresponds to that of the linear forms a1x1 + a2x2 + ... + anxn of algebra.The book gathers results concerning linear operators defined in general spaces of a certain kind, …… 閱讀更多內容

    $513.89 HKD

  • Stochastic Evolution Systems

    Linear Theory and Applications to Non-Linear Filtering

    由 Boris L. Rozovsky, Sergey V. Lototsky ……
    系列 第 89 冊 - Probability Theory and Stochastic Modelling
    This monograph, now in a thoroughly revised second edition, develops the theory of stochastic calculus in Hilbert spaces and applies the results to the study of generalized solutions of stochastic parabolic equations.The emphasis lies on second-order stochastic parabolic equations and their connection to random dynamical systems. The authors further explore applications to the theory of optimal …… 閱讀更多內容

    $697.89 HKD

  • Differential Geometry and Riemannian Manifolds

    由 Friedrich Sauvigny ……
    This textbook focuses on the study of curves and surfaces, applying modern differential equation theory to geometric problems. By introducing isothermal parameters, it simplifies the fundamental equations of surface theory, leading to clear derivations of results like those of H Hopf and S Bernstein for surfaces of constant and vanishing mean curvature.Deviating from traditional approaches, the …… 閱讀更多內容

    $331.29 HKD

  • Non-Archimedean Operator Theory

    由 Toka Diagana, François Ramaroson ……
    系列 series Mathematics and Statistics (R0)
    This book focuses on the theory of linear operators on non-Archimedean Banach spaces. The topics treated in this book range from a basic introduction to non-Archimedean valued fields, free non-Archimedean Banach spaces, bounded and unbounded linear operators in the non-Archimedean setting, to the spectral theory for some classes of linear operators. The theory of Fredholm operators is emphasized …… 閱讀更多內容

    $410.49 HKD

  • Wave Packet Analysis of Feynman Path Integrals

    由 Fabio Nicola, S. Ivan Trapasso ……
    系列 series Mathematics and Statistics (R0)
    The purpose of this monograph is to offer an accessible and essentially self-contained presentation of some mathematical aspects of the Feynman path integral in non-relativistic quantum mechanics. In spite of the primary role in the advancement of modern theoretical physics and the wide range of applications, path integrals are still a source of challenging problem for mathematicians. From this …… 閱讀更多內容

    $533.69 HKD

  • Convergence of One-Parameter Operator Semigroups

    In Models of Mathematical Biology and Elsewhere

    由 Adam Bobrowski ……
    系列 第 30 冊 - New Mathematical Monographs
    This book presents a detailed and contemporary account of the classical theory of convergence of semigroups and its more recent development treating the case where the limit semigroup, in contrast to the approximating semigroups, acts merely on a subspace of the original Banach space (this is the case, for example, with singular perturbations). The author demonstrates the far-reaching applications …… 閱讀更多內容

    $1,290.69 HKD

  • Advances in Summability and Approximation Theory

    編輯者: S. A. Mohiuddine, Tuncer Acar ……
    系列 series Mathematics and Statistics (R0)
    This book discusses the Tauberian conditions under which convergence follows from statistical summability, various linear positive operators, Urysohn-type nonlinear Bernstein operators and also presents the use of Banach sequence spaces in the theory of infinite systems of differential equations. It also includes the generalization of linear positive operators in post-quantum calculus, which is …… 閱讀更多內容

    $410.49 HKD

  • Lecture Notes in Real Analysis

    由 Xiaochang Wang ……
    系列 series Compact Textbooks in Mathematics
    This compact textbook is a collection of the author’s lecture notes for a two-semester graduate-level real analysis course. While the material covered is standard, the author’s approach is unique in that it combines elements from both Royden’s and Folland’s classic texts to provide a more concise and intuitive presentation. Illustrations, examples, and exercises are included that present Lebesgue …… 閱讀更多內容

    $410.49 HKD

  • Course In Analysis, A - Volume I: Introductory Calculus, Analysis Of Functions Of One Real Variable

    由 Niels Jacob, Kristian P Evans ……

    $366.49 HKD

  • Exercises in Analysis

    Part 1

    由 Nikolaos S. Papageorgiou, Leszek Gasińksi ……
    系列 第 1 冊 - Mathematics and Statistics (R0)
    Exercises in Analysis will be published in two volumes. This first volume covers problems in five core topics of mathematical analysis: metric spaces; topological spaces; measure, integration and Martingales; measure and topology and functional analysis. Each of five topics correspond to a different chapter with inclusion of the basic theory and accompanying main definitions and results, followed …… 閱讀更多內容

    $903.19 HKD

  • Operator Theory and Analysis of Infinite Networks

    Theory and Applications

    由 Palle E T Jorgensen, Erin P J Pearse ……
    系列 第 7 冊 - Contemporary Mathematics and Its Applications: Monographs, Expositions and Lecture Notes
    This volume considers resistance networks: large graphs which are connected, undirected, and weighted. Such networks provide a discrete model for physical processes in inhomogeneous media, including heat flow through perforated or porous media. These graphs also arise in data science, e.g., considering geometrizations of datasets, statistical inference, or the propagation of memes through social …… 閱讀更多內容

    $408.79 HKD

  • Abstract Parabolic Evolution Equations and Łojasiewicz–Simon Inequality II

    Applications

    由 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

    $533.69 HKD

  • Complex Semisimple Quantum Groups and Representation Theory

    由 Christian Voigt, Robert Yuncken ……
    系列 series Mathematics and Statistics (R0)
    This book provides a thorough introduction to the theory of complex semisimple quantum groups, that is, Drinfeld doubles of q-deformations of compact semisimple Lie groups. The presentation is comprehensive, beginning with background information on Hopf algebras, and ending with the classification of admissible representations of the q-deformation of a complex semisimple Lie group.The main …… 閱讀更多內容

    $492.59 HKD

  • Elliptic Carleman Estimates and Applications to Stabilization and Controllability, Volume II

    General Boundary Conditions on Riemannian Manifolds

    由 Jérôme Le Rousseau, Gilles Lebeau, Luc Robbiano ……
    系列 series Mathematics and Statistics (R0)
    This monograph explores applications of Carleman estimates in the study of stabilization and controllability properties of partial differential equations, including quantified unique continuation, logarithmic stabilization of the wave equation, and null-controllability of the heat equation. Where the first volume derived these estimates in regular open sets in Euclidean space and Dirichlet …… 閱讀更多內容

    $1,313.69 HKD

  • Analysis and Quantum Groups

    由 Lars Tuset ……
    系列 series Mathematics and Statistics (R0)
    This volume presents a completely self-contained introduction to the elaborate theory of locally compact quantum groups, bringing the reader to the frontiers of present-day research. The exposition includes a substantial amount of material on functional analysis and operator algebras, subjects which in themselves have become increasingly important with the advent of quantum information theory. In …… 閱讀更多內容

    $574.69 HKD

  • Inverse Spectral and Scattering Theory

    An Introduction

    由 Hiroshi Isozaki ……
    系列 第 38 冊 - SpringerBriefs in Mathematical Physics
    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