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功能分析 電子書

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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$2,290 TWD

  • Semigroups of Operators -Theory and Applications

    Będlewo, Poland, October 2013

    編輯者: Jacek Banasiak, Adam Bobrowski, Mirosław Lachowicz ……
    系列 series Springer Nature Proceedings excluding Computer Science
    Many results, both from semi group theory itself and from the applied sciences, are phrased in discipline-specific languages and hence are hardly known to a broader community. This volume contains a selection of lectures presented at a conference that was organised as a forum for all mathematicians using semi group theory to learn what is happening outside their own field of research. The …… 閱讀更多內容

    NT$3,170 TWD

  • Applied Stochastic Control of Jump Diffusions

    由 Bernt Øksendal, Agnès Sulem ……
    系列 series Mathematics and Statistics (R0)
    The main purpose of the book is to give a rigorous introduction to the most important and useful solution methods of various types of stochastic control problems for jump diffusions and their applications. Both the dynamic programming method and the stochastic maximum principle method are discussed, as well as the relation between them. Corresponding verification theorems involving the Hamilton …… 閱讀更多內容

    NT$2,290 TWD

  • Conformable Dynamic Equations on Time Scales

    由 Douglas R. Anderson, Svetlin G. Georgiev ……
    The concept of derivatives of non-integer order, known as fractional derivatives, first appeared in the letter between L’Hopital and Leibniz in which the question of a half-order derivative was posed. Since then, many formulations of fractional derivatives have appeared. Recently, a new definition of fractional derivative, called the "fractional conformable derivative," has been introduced. This …… 閱讀更多內容

    NT$2,734 TWD

  • Modern Topics in Metrical Fixed Point Theory

    由 Mihai Turinici ……
    Metrical Fixed Point Theory, originating from the 1922 Banach Fixed Point Theorem, is one of the most dynamic areas within Operator Equations Theory. This book aims to discuss the foundational aspects of this theory, focusing on questions of existence, uniqueness, and approximation in operator equations — whether explicit or implicit, anticipative or non-anticipative — across standard, ordered, …… 閱讀更多內容

    NT$3,973 TWD

  • Hidden Harmony—Geometric Fantasies

    The Rise of Complex Function Theory

    由 Umberto Bottazzini, Jeremy Gray ……
    系列 series Mathematics and Statistics (R0)
    This book is a history of complex function theory from its origins to 1914, when the essential features of the modern theory were in place. It is the first history of mathematics devoted to complex function theory, and it draws on a wide range of published and unpublished sources. In addition to an extensive and detailed coverage of the three founders of the subject – Cauchy, Riemann, and …… 閱讀更多內容

    NT$7,715 TWD

  • Banach Limit and Applications

    由 Gokulananda Das, Sudarsan Nanda ……
    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$2,438 TWD

  • Sequential Introduction To Real Analysis, A

    由 J Martin Speight ……
    系列 series Essential Textbooks In Mathematics
    Real analysis provides the fundamental underpinnings for calculus, arguably the most useful and influential mathematical idea ever invented. It is a core subject in any mathematics degree, and also one which many students find challenging. A Sequential Introduction to Real Analysis gives a fresh take on real analysis by formulating all the underlying concepts in terms of convergence of sequences. …… 閱讀更多內容

    NT$889 TWD

  • Introduction to Functional Analysis

    由 Christian Clason ……
    系列 series Mathematics and Statistics (R0)
    Functional analysis has become one of the essential foundations of modern applied mathematics in the last decades, from the theory and numerical solution of differential equations, from optimization and probability theory to medical imaging and mathematical image processing.This textbook offers a compact introduction to the theory and is designed to be used during one semester, fitting exactly 26 …… 閱讀更多內容

    NT$1,409 TWD

  • Classical Fourier Analysis

    由 Loukas Grafakos ……
    系列 series Mathematics and Statistics (R0)
    The main goal of this text is to present the theoretical foundation of the field of Fourier analysis on Euclidean spaces. It covers classical topics such as interpolation, Fourier series, the Fourier transform, maximal functions, singular integrals, and Littlewood–Paley theory. The primary readership is intended to be graduate students in mathematics with the prerequisite including satisfactory …… 閱讀更多內容

    NT$2,465 TWD

  • Dynamic Inequalities On Time Scales

    由 Ravi Agarwal, Donal O'Regan, Samir Saker ……
    This is a monograph devoted to recent research and results on dynamic inequalities on time scales. The study of dynamic inequalities on time scales has been covered extensively in the literature in recent years and has now become a major sub-field in pure and applied mathematics.In particular, this book will cover recent results on integral inequalities, including Young's inequality, Jensen's …… 閱讀更多內容

    NT$1,762 TWD

  • The Fuglede-Putnam Theory

    由 Mohammed Hichem Mortad ……
    系列 series Mathematics and Statistics (R0)
    This book is essentially a survey of results on the Fuglede-Putnam theorem and its generalizations in a wide variety of directions. Presenting a broad overview of the results obtained in the field since the early 1950s, this is the first monograph to be dedicated to this powerful tool and its variants.Starting from historical notes and classical versions with their different proofs, the book then …… 閱讀更多內容

    NT$2,114 TWD

  • Functional Linear Algebra

    由 Hannah Robbins ……
    系列 series Textbooks in Mathematics
    Linear algebra is an extremely versatile and useful subject. It rewards those who study it with powerful computational tools, lessons about how mathematical theory is built, examples for later study in other classes, and much more.Functional Linear Algebra is a unique text written to address the need for a one-term linear algebra course where students have taken only calculus. It does not assume …… 閱讀更多內容

    NT$2,636 TWD

  • Classification of Lipschitz Mappings

    由 Łukasz Piasecki ……
    系列 series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    Classification of Lipschitz Mappings presents a systematic, self-contained treatment of a new classification of Lipschitz mappings and its application in many topics of metric fixed point theory. Suitable for readers interested in metric fixed point theory, differential equations, and dynamical systems, the book only requires a basic background in …… 閱讀更多內容

    NT$2,800 TWD

  • Random Matrices and Iterated Random Functions

    Münster, October 2011

    編輯者: Gerold Alsmeyer, Matthias Löwe ……
    系列 series Springer Nature Proceedings excluding Computer Science
    Random Matrices are one of the major research areas in modern probability theory, due to their prominence in many different fields such as nuclear physics, statistics, telecommunication, free probability, non-commutative geometry, and dynamical systems. A great deal of recent work has focused on the study of spectra of large random matrices on the one hand and on iterated random functions, …… 閱讀更多內容

    NT$3,170 TWD

  • Differentiability in Banach Spaces, Differential Forms and Applications

    由 Celso Melchiades Doria ……
    This book is divided into two parts, the first one to study the theory of differentiable functions between Banach spaces and the second to study the differential form formalism and to address the Stokes' Theorem and its applications. Related to the first part, there is an introduction to the content of Linear Bounded Operators in Banach Spaces with classic examples of compact and Fredholm …… 閱讀更多內容

    NT$1,762 TWD

  • Computation and Approximation

    由 Vijay Gupta, Michael Th. Rassias ……
    系列 series Mathematics and Statistics (R0)
    This brief studies recent work conducted on certain exponential type operators and other integral type operators. It consists of three chapters: the first on exponential type operators, the second a study of some modifications of linear positive operators, and the third on difference estimates between two operators. It will be of interest to students both graduate and undergraduate studying linear …… 閱讀更多內容

    NT$2,290 TWD

  • Fluids Under Control

    編輯者: Tomáš Bodnár, Giovanni P. Galdi, Šárka Nečasová ……
    系列 series Mathematics and Statistics (R0)
    This volume explores state-of-the-art developments in theoretical and applied fluid mechanics with a focus on stabilization and control. Chapters are based on lectures given at the summer school “Fluids under Control”, held in Prague from August 23-27, 2021. With its accessible and flexible presentation, readers will be motivated to deepen their understanding of how mathematics and physics are …… 閱讀更多內容

    NT$4,579 TWD

  • Number Theory: Arithmetic In Shangri-la - Proceedings Of The 6th China-japan Seminar

    由 Shigeru Kanemitsu, Hongze Li, Jianya Liu ……
    系列 第 8 冊 - Series On Number Theory And Its Applications
    This volume is based on the successful 6th China-Japan Seminar on number theory that was held in Shanghai Jiao Tong University in August 2011. It is a compilation of survey papers as well as original works by distinguished researchers in their respective fields. The topics range from traditional analytic number theory — additive problems, divisor problems, Diophantine equations — to elliptic …… 閱讀更多內容

    NT$1,720 TWD

  • Geometric Harmonic Analysis I

    A Sharp Divergence Theorem with Nontangential Pointwise Traces

    由 Dorina Mitrea, Irina Mitrea, Marius Mitrea ……
    系列 series Mathematics and Statistics (R0)
    This monograph presents a comprehensive, self-contained, and novel approach to the Divergence Theorem through five progressive volumes. Its ultimate aim is to develop tools in Real and Harmonic Analysis, of geometric measure theoretic flavor, capable of treating a broad spectrum of boundary value problems formulated in rather general geometric and analytic settings. The text is intended for …… 閱讀更多內容

    NT$5,989 TWD

  • Analysis at Large

    Dedicated to the Life and Work of Jean Bourgain

    編輯者: Artur Avila, Michael Th. Rassias, Yakov Sinai ……
    Analysis at Large is dedicated to Jean Bourgain whose research has deeply influenced the mathematics discipline, particularly in analysis and its interconnections with other fields. In this volume, the contributions made by renowned experts present both research and surveys on a wide spectrum of subjects, each of which pay tribute to a true mathematical pioneer. Examples of topics discussed in …… 閱讀更多內容

    NT$4,579 TWD

  • Fractal Analysis: Basic Concepts And Applications

    由 Carlo Cattani, Anouar Ben Mabrouk, Sabrine Arfaoui ……
    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$1,157 TWD

  • Topics in Mathematical Analysis and Applications

    編輯者: László Tóth, Themistocles M. Rassias ……
    系列 series Mathematics and Statistics (R0)
    This volume presents significant advances in a number of theories and problems of Mathematical Analysis and its applications in disciplines such as Analytic Inequalities, Operator Theory, Functional Analysis, Approximation Theory, Functional Equations, Differential Equations, Wavelets, Discrete Mathematics and Mechanics. The contributions focus on recent developments and are written by eminent …… 閱讀更多內容

    NT$4,932 TWD

  • Stochastic Partial Differential Equations in Fluid Mechanics

    由 Franco Flandoli, Eliseo Luongo ……
    系列 series Mathematics and Statistics (R0)
    This book is devoted to stochastic Navier–Stokes equations and more generally to stochasticity in fluid mechanics. The two opening chapters describe basic material about the existence and uniqueness of solutions: first in the case of additive noise treated pathwise and then in the case of state-dependent noise. The main mathematical techniques of these two chapters are known and given in detail …… 閱讀更多內容

    NT$3,170 TWD