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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

  • Measure Theory and Integration

    由 M.M. Rao ……
    系列 series Chapman & Hall/CRC Pure and Applied Mathematics
    Significantly revised and expanded, this authoritative reference/text comprehensively describes concepts in measure theory, classical integration, and generalized Riemann integration of both scalar and vector types-providing a complete and detailed review of every aspect of measure and integration theory using valuable examples, exercises, and applications.With more than 170 references for further …… 閱讀更多內容

    NT$6,567 TWD

  • Nonoscillation Theory of Functional Differential Equations with Applications

    系列 series Mathematics and Statistics (R0)
    This monograph explores nonoscillation and existence of positive solutions for functional differential equations and describes their applications to maximum principles, boundary value problems and stability of these equations. In view of this objective the volume considers a wide class of equations including, scalar equations and systems of different types, equations with variable types of delays …… 閱讀更多內容

    NT$3,130 TWD

  • Topics in Contemporary Mathematical Analysis and Applications

    編輯者: Hemen Dutta ……
    系列 series Mathematics and its Applications
    Topics in Contemporary Mathematical Analysis and Applications encompasses several contemporary topics in the field of mathematical analysis, their applications, and relevancies in other areas of research and study. The readers will find developments concerning the topics presented to a reasonable extent with various new problems for further study. Each chapter carefully presents the related …… 閱讀更多內容

    NT$2,686 TWD

  • 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

    NT$2,322 TWD

  • Fixed Point Theorems and Applications

    由 Vittorino Pata ……
    系列 series Mathematics and Statistics (R0)
    This book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics. The content is divided into two main parts. The first, which is more theoretical, develops the main abstract theorems on the existence and uniqueness of fixed points of maps. In turn, the second part focuses on applications, covering a large variety of significant results …… 閱讀更多內容

    NT$1,739 TWD

  • Introducción a la teoría de conjuntos

    El libro Introducción a la teoría de conjuntos ofrece una guía clara y accesible a esta rama fundamental de las matemáticas, con amplias aplicaciones científicas. Está diseñado para estudiantes de pregrado en matemáticas y disciplinas afines, pues abarca desde conceptos básicos hasta temas más avanzados como relaciones y funciones. La obra subraya la relevancia de la teoría de conjuntos en las …… 閱讀更多內容

    NT$460 TWD 透過 Kobo Plus 免費享用

  • Semigroup Theory and Evolution Equations

    The Second International Conference

    編輯者: Philippe Clement ……
    系列 series Lecture Notes in Pure and Applied Mathematics
    Proceedings of the Second International Conference on Trends in Semigroup Theory and Evolution Equations held Sept. 1989, Delft University of Technology, the Netherlands. Papers deal with recent developments in semigroup theory (e.g., positive, dual, integrated), and nonlinear evolution equations (e …… 閱讀更多內容

    NT$10,779 TWD

  • Double Sequence Spaces and Four-Dimensional Matrices

    系列 series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    Double Sequence Spaces and Four-Dimensional Matrices provides readers with a clear introduction to the spaces of double sequences and series, as well as their properties. The book then goes beyond this to investigate paranormed double sequence spaces and their algebraic and topological properties, triangle matrices and their domains in certain spaces of double sequences, dual spaces of double …… 閱讀更多內容

    NT$7,794 TWD

  • Functional Analysis for the Applied Sciences

    由 Gheorghe Moroşanu ……
    系列 series Mathematics and Statistics (R0)
    This advanced graduate textbook presents main results and techniques in Functional Analysis and uses them to explore other areas of mathematics and applications. Special attention is paid to creating appropriate frameworks towards solving significant problems involving differential and integral equations. Exercises at the end of each chapter help the reader to understand the richness of ideas and …… 閱讀更多內容

    NT$2,261 TWD

  • Modern Real Analysis

    系列 series Mathematics and Statistics (R0)
    This first year graduate text is a comprehensive resource in real analysis based on a modern treatment of measure and integration. Presented in a definitive and self-contained manner, it features a natural progression of concepts from simple to difficult. Several innovative topics are featured, including differentiation of measures, elements of Functional Analysis, the Riesz Representation Theorem …… 閱讀更多內容

    NT$2,329 TWD

  • Functional Dynamic Equations on Time Scales

    由 Svetlin G. Georgiev ……
    系列 series Mathematics and Statistics (R0)
    This book is devoted to the qualitative theory of functional dynamic equations on time scales, providing an overview of recent developments in the field as well as a foundation to time scales, dynamic systems, and functional dynamic equations. It discusses functional dynamic equations in relation to mathematical physics applications and problems, providing useful tools for investigation for …… 閱讀更多內容

    NT$5,564 TWD

  • Linear Response Theory

    An Analytic-Algebraic Approach

    系列 series Physics and Astronomy (R0)
    This book presents a modern and systematic approach to Linear Response Theory (LRT) by combining analytic and algebraic ideas. LRT is a tool to study systems that are driven out of equilibrium by external perturbations. In particular the reader is provided with a new and robust tool to implement LRT for a wide array of systems. The proposed formalism in fact applies to periodic and random systems …… 閱讀更多內容

    NT$2,086 TWD

  • Quantum Theory for Mathematicians

    由 Brian C. Hall ……
    系列 series Mathematics and Statistics (R0)
    Although ideas from quantum physics play an important role in many parts of modern mathematics, there are few books about quantum mechanics aimed at mathematicians. This book introduces the main ideas of quantum mechanics in language familiar to mathematicians. Readers with little prior exposure to physics will enjoy the book's conversational tone as they delve into such topics as the Hilbert …… 閱讀更多內容

    NT$2,434 TWD

  • Solving Numerical PDEs: Problems, Applications, Exercises

    系列 series Mathematics and Statistics (R0)
    This book stems from the long standing teaching experience of the authors in the courses on Numerical Methods in Engineering and Numerical Methods for Partial Differential Equations given to undergraduate and graduate students of Politecnico di Milano (Italy), EPFL Lausanne (Switzerland), University of Bergamo (Italy) and Emory University (Atlanta, USA). It aims at introducing students to the …… 閱讀更多內容

    NT$1,634 TWD

  • Qualitative Properties of Dispersive PDEs

    系列 series Springer Nature Proceedings excluding Computer Science
    This book provides a valuable collection of contributions by distinguished scholars presenting the state of the art and some of the most significant latest developments and future challenges in the field of dispersive partial differential equations. The material covers four major lines: (1) Long time behaviour of NLS-type equations, (2) probabilistic and nonstandard methods in the study of NLS …… 閱讀更多內容

    NT$5,912 TWD

  • Solidão Conectada: Navegando A Era Digital Entre Isolamento E Interação

    Vivemos em um paradoxo do século XXI: nunca estivemos tão conectados e, ao mesmo tempo, tão sozinhos. "Solidão Conectada: Navegando a Era Digital Entre Isolamento e Interação" mergulha nesse dilema contemporâneo, explorando como a tecnologia, as redes sociais, o trabalho remoto e até mesmo a pandemia transformaram a forma como nos relacionamos e sentimos a solidão. Mais do que uma crítica à era …… 閱讀更多內容

    NT$430 TWD 透過 Kobo Plus 免費享用

  • Inequalities and Integral Operators in Function Spaces

    由 Erlan Nursultanov ……
    系列 series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    The modern theory of functional spaces and operators, built on powerful analytical methods, continues to evolve in the search for more precise, universal, and effective tools.Classical inequalities such as Hardy’s inequality, Remez’s inequality, the Bernstein-Nikolsky inequality, the Hardy-Littlewood-Sobolev inequality for the Riesz transform, the Hardy-Littlewood inequality for Fourier transforms …… 閱讀更多內容

    NT$8,126 TWD

  • Classification of Lipschitz Mappings

    系列 series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    Classification of Lipschitz Mappings, Second Edition presents a systematic, self-contained treatment of a new classification of Lipschitz mappings and its applications, particularly to metric fixed point theory. Suitable for readers interested in nonlinear analysis, metric fixed point theory, differential equations, ergodic theory, and dynamical systems, the book requires only a basic background …… 閱讀更多內容

    NT$8,126 TWD

  • Mathematical Model of Spontaneous Potential Well-Logging and Its Numerical Solutions

    系列 series Mathematics and Statistics (R0)
    Spontaneous potential (SP) well-logging is one of the most common and useful well-logging techniques in petroleum exploitation. This monograph is the first of its kind on the mathematical model of spontaneous potential well-logging and its numerical solutions. The mathematical model established in this book shows the necessity of introducing Sobolev spaces with fractional power, which seriously …… 閱讀更多內容

    NT$1,739 TWD

  • Further Developments in Fractals and Related Fields

    Mathematical Foundations and Connections

    編輯者: Julien Barral, Stéphane Seuret ……
    系列 series Mathematics and Statistics (R0)
    This volume, following in the tradition of a similar 2010 publication by the same editors, is an outgrowth of an international conference, “Fractals and Related Fields II,” held in June 2011. The book provides readers with an overview of developments in the mathematical fields related to fractals, including original research contributions as well as surveys from many of the leading experts on …… 閱讀更多內容

    NT$3,130 TWD

  • Einführung in die Funktionalanalysis

    由 Christian Clason ……
    系列 series Life Science and Basic Disciplines (German Language)
    Funktionalanalysis hat sich in den letzten Jahrzehnten zu einer der wesentlichen Grundlagen der modernen angewandten Mathematik entwickelt, von der Theorie und Numerik von Differentialgleichungen über Optimierung und Wahrscheinlichkeitstheorie bis zu medizinischer Bildgebung und mathematischer Bildverarbeitung.Das vorliegende Lehrbuch bietet eine kompakte Einführung in die Theorie und ist …… 閱讀更多內容

    NT$515 TWD

  • A Guide to Spectral Theory

    Applications and Exercises

    系列 series Mathematics and Statistics (R0)
    This textbook provides a graduate-level introduction to the spectral theory of linear operators on Banach and Hilbert spaces, guiding readers through key components of spectral theory and its applications in quantum physics. Based on their extensive teaching experience, the authors present topics in a progressive manner so that each chapter builds on the ones preceding. Researchers and students …… 閱讀更多內容

    NT$1,913 TWD

  • Functional Analysis: Entering Hilbert Space (Second Edition)

    This book presents basic elements of the theory of Hilbert spaces and operators on Hilbert spaces, culminating in a proof of the spectral theorem for compact, self-adjoint operators on separable Hilbert spaces. It exhibits a construction of the space of pth power Lebesgue integrable functions by a completion procedure with respect to a suitable norm in a space of continuous functions, including …… 閱讀更多內容

    NT$726 TWD