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功能分析 電子書

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顯示第 1 － 24 個結果，共 1299 個
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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

  • 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

    NT$1,913 TWD

  • 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

    NT$1,612 TWD

  • 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

    NT$126 TWD

  • 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

    NT$1,913 TWD

  • 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

    NT$3,825 TWD

  • 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

    NT$2,956 TWD

  • 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

    NT$1,403 TWD

  • 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

    NT$1,739 TWD

  • 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

    NT$2,261 TWD

  • 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

    NT$5,466 TWD

  • 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

    NT$1,739 TWD

  • 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

    NT$1,739 TWD

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

    由 Niels Jacob, Kristian P Evans ……

    NT$1,553 TWD

  • 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

    NT$3,825 TWD

  • 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

    NT$1,731 TWD

  • 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

    NT$2,261 TWD

  • 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

    NT$2,086 TWD

  • 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

    NT$5,564 TWD

  • 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

    NT$2,434 TWD

  • 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

    NT$2,434 TWD

  • Variational Analysis of Regular Mappings

    Theory and Applications

    由 Alexander D. Ioffe ……
    系列 series Mathematics and Statistics (R0)
    This monograph offers the first systematic account of (metric) regularity theory in variational analysis. It presents new developments alongside classical results and demonstrates the power of the theory through applications to various problems in analysis and optimization theory.The origins of metric regularity theory can be traced back to a series of fundamental ideas and results of nonlinear …… 閱讀更多內容

    NT$4,521 TWD

  • Probability on Compact Lie Groups

    由 David Applebaum ……
    系列 series Mathematics and Statistics (R0)
    Probability theory on compact Lie groups deals with the interaction between “chance” and “symmetry,” a beautiful area of mathematics of great interest in its own sake but which is now also finding increasing applications in statistics and engineering (particularly with respect to signal processing). The author gives a comprehensive introduction to some of the principle areas of study, with an …… 閱讀更多內容

    NT$2,608 TWD

  • Non-commutative and Non-associative Algebra and Analysis Structures

    SPAS 2019, Västerås, Sweden, September 30–October 2

    編輯者: Sergei Silvestrov, Anatoliy Malyarenko ……
    系列 series Springer Nature Proceedings excluding Computer Science
    The goal of the 2019 conference on Stochastic Processes and Algebraic Structures held in SPAS2019, Västerås, Sweden, from September 30th to October 2nd 2019 was to showcase the frontiers of research in several important topics of mathematics, mathematical statistics, and its applications. The conference has been organized along the following tracks:Stochastic processes and modern statistical …… 閱讀更多內容

    NT$9,356 TWD