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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$2,261 TWD

  • Analysis of Pseudo-Differential Operators

    編輯者: Shahla Molahajloo, M. W. Wong ……
    系列 series Mathematics and Statistics (R0)
    This volume, like its predecessors, is based on the special session on pseudo-differential operators, one of the many special sessions at the 11th ISAAC Congress, held at Linnaeus University in Sweden on August 14-18, 2017. It includes research papers presented at the session and invited papers by experts in fields that involve pseudo-differential operators.The first four chapters focus on the …… 閱讀更多內容

    NT$4,173 TWD

  • Moments of Linear Positive Operators and Approximation

    由 Vijay Gupta, Michael Th. Rassias ……
    系列 series Mathematics and Statistics (R0)
    This book is a valuable resource for Graduate students and researchers interested in current techniques and methods within the theory of moments in linear positive operators and approximation theory. Moments are essential to the convergence of a sequence of linear positive operators. Several methods are examined to determine moments including direct calculations, recurrence relations, and the …… 閱讀更多內容

    NT$1,739 TWD

  • Function Spaces, Theory and Applications

    編輯者: Ilia Binder, Damir Kinzebulatov, Javad Mashreghi ……
    系列 series Mathematics and Statistics (R0)
    The focus program on Analytic Function Spaces and their Applications took place at Fields Institute from July 1st to December 31st, 2021. Hilbert spaces of analytic functions form one of the pillars of complex analysis. These spaces have a rich structure and for more than a century have been studied by many prominent mathematicians. They also have several essential applications in other fields of …… 閱讀更多內容

    NT$4,869 TWD

  • Operator Theory, Operator Algebras and Their Interactions with Geometry and Topology

    Ronald G. Douglas Memorial Volume

    編輯者: Raul E Curto, William Helton, Huaxin Lin, Xiang Tang, Rongwei Yang, Guoliang Yu ……
    系列 series Springer Nature Proceedings excluding Computer Science
    This book is the proceeding of the International Workshop on Operator Theory and Applications (IWOTA) held in July 2018 in Shanghai, China. It consists of original papers, surveys and expository articles in the broad areas of operator theory, operator algebras and noncommutative topology. Its goal is to give graduate students and researchers a relatively comprehensive overview of the current …… 閱讀更多內容

    NT$4,869 TWD

  • Basic Methods of Linear Functional Analysis

    由 John D. Pryce ……
    系列 series Dover Books on Mathematics
    An introduction to the themes of mathematical analysis, this text is geared toward advanced undergraduate and graduate students. It assumes a familiarity with basic real analysis, metric space theory, linear algebra, and minimal knowledge of measures and Lebesgue integration, all of which are surveyed in the first chapter.Subsequent chapters explore the basic results of linear functional analysis: …… 閱讀更多內容

    NT$477 TWD

  • Nonlinear Functional Analysis

    由 Klaus Deimling ……
    Hailed as "eminently suitable as a text for a graduate course" by the Bulletin of the American Mathematical Society, this volume offers a survey of the main ideas, concepts, and methods that constitute nonlinear functional analysis. It offers extensive commentary and many examples in addition to an abundance of interesting, challenging exercises.Starting with coverage of the development of the …… 閱讀更多內容

    NT$454 TWD

  • Elliptic Polynomials

    由 J.S. Lomont, John Brillhart ……
    A remarkable interplay exists between the fields of elliptic functions and orthogonal polynomials. In the first monograph to explore their connections, Elliptic Polynomials combines these two areas of study, leading to an interesting development of some basic aspects of each. It presents new material about various classes of polynomials and about t …… 閱讀更多內容

    NT$2,985 TWD

  • Orthogonal Polynomials and Painlevé Equations

    由 Walter Van Assche ……
    系列 第 27 冊 - Australian Mathematical Society Lecture Series
    There are a number of intriguing connections between Painlevé equations and orthogonal polynomials, and this book is one of the first to provide an introduction to these. Researchers in integrable systems and non-linear equations will find the many explicit examples where Painlevé equations appear in mathematical analysis very useful. Those interested in the asymptotic behavior of orthogonal …… 閱讀更多內容

    NT$1,442 TWD

  • Il libro di matematica: volume 1

    由 Simone Malacrida ……
    In questo libro è presentata la maggior parte della matematica, partendo dai concetti basilari ed elementari, fino a sondare i settori più complessi e avanzati. La matematica è affrontata sia dal punto di vista teorico, esponendo i teoremi e le definizioni di ogni particolare tipologia, sia a livello pratico, andando a risolvere oltre 1'000 esercizi. L’approccio alla matematica è dato da una …… 閱讀更多內容

    NT$379 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$5,912 TWD

  • Computational Methods In The Fractional Calculus Of Variations

    由 Ricardo Almeida, Shakoor Pooseh, Delfim F M Torres ……
    This book fills a gap in the literature by introducing numerical techniques to solve problems of fractional calculus of variations (FCV). In most cases, finding the analytic solution to such problems is extremely difficult or even impossible, and numerical methods need to be used.The authors are well-known researchers in the area of FCV and the book contains some of their recent results, serving …… 閱讀更多內容

    NT$925 TWD

  • Handbook of Functional Equations

    Stability Theory

    編輯者: Themistocles M. Rassias ……
    系列 series Mathematics and Statistics (R0)
    This handbook consists of seventeen chapters written by eminent scientists from the international mathematical community, who present important research works in the field of mathematical analysis and related subjects, particularly in the Ulam stability theory of functional equations. The book provides an insight into a large domain of research with emphasis to the discussion of several theories, …… 閱讀更多內容

    NT$1,739 TWD

  • Nearrings, Nearfields And Related Topics

    由 G L Booth, Kent Neuerburg, Bijan Davvaz, Mark Farag, S Juglal, Ayman Badawi, Kuncham Syam Prasad, Kedukodi Babushri Srinivas, Panackal Harikrishnan, Bhavanari Satyanarayana ……
    Recent developments in various algebraic structures and the applications of those in different areas play an important role in Science and Technology. One of the best tools to study the non-linear algebraic systems is the theory of Near-rings.The forward note by G …… 閱讀更多內容

    NT$3,045 TWD

  • Tools and Problems in Partial Differential Equations

    由 Thomas Alazard, Claude Zuily ……
    系列 series Mathematics and Statistics (R0)
    This textbook offers a unique learning-by-doing introduction to the modern theory of partial differential equations.Through 65 fully solved problems, the book offers readers a fast but in-depth introduction to the field, covering advanced topics in microlocal analysis, including pseudo- and para-differential calculus, and the key classical equations, such as the Laplace, Schrödinger or Navier …… 閱讀更多內容

    NT$2,261 TWD

  • A Cp-Theory Problem Book

    Special Features of Function Spaces

    由 Vladimir V. Tkachuk ……
    系列 series Mathematics and Statistics (R0)
    This work is a continuation of the first volume published by Springer in 2011, entitled "A Cp-Theory Problem Book: Topological and Function Spaces." The first volume provided an introduction from scratch to Cp-theory and general topology, preparing the reader for a professional understanding of Cp-theory in the last section of its main text. This present volume covers a wide variety of topics in …… 閱讀更多內容

    NT$1,739 TWD

  • Theory of Distributions

    由 Svetlin G. Georgiev ……
    系列 series Mathematics and Statistics (R0)
    This book explains many fundamental ideas on the theory of distributions. The theory of partial differential equations is one of the synthetic branches of analysis that combines ideas and methods from different fields of mathematics, ranging from functional analysis and harmonic analysis to differential geometry and topology. This presents specific difficulties to those studying this field. This …… 閱讀更多內容

    NT$1,565 TWD

  • Well-Posed Nonlinear Problems

    A Study of Mathematical Models of Contact

    由 Mircea Sofonea ……
    系列 series Mathematics and Statistics (R0)
    This monograph presents an original method to unify the mathematical theories of well-posed problems and contact mechanics. The author uses a new concept called the Tykhonov triple to develop a well-posedness theory in which every convergence result can be interpreted as a well-posedness result. This will be useful for studying a wide class of nonlinear problems, including fixed-point problems, …… 閱讀更多內容

    NT$4,521 TWD

  • Traité de la résolution des équations numériques de tous les degrés

    由 Joseph-Louis Lagrange ……
    La solution de tout problème déterminé se réduit, en dernière analyse, à la résolution d’une ou de plusieurs équations, dont les coefficients sont donnés en nombres, et qu’on peut appeler équations numériques. Il est donc important d’avoir des méthodes pour résoudre complètement ces équations, de quelque degré qu’elles soient. Celle que l’on trouve dans le Recueil des Mémoires de l’Académie de …… 閱讀更多內容

    NT$158 TWD

  • Fundamentals of Convex Analysis and Optimization

    A Supremum Function Approach

    由 Rafael Correa, Abderrahim Hantoute, Marco A. López ……
    系列 series Mathematics and Statistics (R0)
    This book aims at an innovative approach within the framework of convex analysis and optimization, based on an in-depth study of the behavior and properties of the supremum of families of convex functions. It presents an original and systematic treatment of convex analysis, covering standard results and improved calculus rules in subdifferential analysis. The tools supplied in the text allow a …… 閱讀更多內容

    NT$1,739 TWD

  • Mathematical Quantum Physics

    A Foundational Introduction

    由 Gabriele Nunzio Tornetta ……
    系列 series Physics and Astronomy (R0)
    This book provides the rigorous mathematical foundations of Quantum Physics, from the operational meaning of the measuring process to the most recent theories for the quantum scale of space-time geometry. Topics like relativistic invariance, quantum systems with finite and infinitely many degrees of freedom, second quantisation, scattering theory, are all presented through the formalism of …… 閱讀更多內容

    NT$3,130 TWD

  • Exercícios de Distribuições

    由 Simone Malacrida ……
    Neste livro, são realizados exercícios sobre os seguintes tópicos matemáticos:distribuições e suportesdistribuições temperadasoperações em distribuiçõesTambém são apresentadas dicas teóricas iniciais para tornar compreensível a condução dos exercícios. …… 閱讀更多內容

    NT$126 TWD

  • Generalized Inverses: Theory and Computations

    由 Guorong Wang, Yimin Wei, Sanzheng Qiao ……
    系列 series Mathematics and Statistics (R0)
    This book begins with the fundamentals of the generalized inverses, then moves to more advanced topics.It presents a theoretical study of the generalization of Cramer's rule, determinant representations of the generalized inverses, reverse order law of the generalized inverses of a matrix product, structures of the generalized inverses of structured matrices, parallel computation of the …… 閱讀更多內容

    NT$4,173 TWD

  • Hilbert C*- Modules and Quantum Markov Semigroups

    由 Lunchuan Zhang ……
    系列 series Mathematics and Statistics (R0)
    This book explains the basic theory of Hilbert C*-module in detail, covering a wide range of applications from generalized index to module framework. At the center of the book, the Beurling-Deny criterion is characterized between operator valued Dirichlet forms and quantum Markov semigroups, hence opening a new field of quantum probability research. The general scope of the book includes: basic …… 閱讀更多內容

    NT$4,173 TWD