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功能分析 電子書

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  • A Compact Course on Linear PDEs

    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

  • Nonlinear Vibrations and the Wave Equation

    Alain Haraux ……
    系列 series Mathematics and Statistics (R0)
    This book gathers the revised lecture notes from a seminar course offered at the Federal University of Rio de Janeiro in 1986, then in Tokyo in 1987. An additional chapter has been added to reflect more recent advances in the field. …… 閱讀更多內容

    NT$1,739 TWD

  • The Theory of H(b) Spaces: Volume 2

    系列 第 21 冊 - New Mathematical Monographs
    An H(b) space is defined as a collection of analytic functions that are in the image of an operator. The theory of H(b) spaces bridges two classical subjects, complex analysis and operator theory, which makes it both appealing and demanding. Volume 1 of this comprehensive treatment is devoted to the preliminary subjects required to understand the foundation of H(b) spaces, such as Hardy spaces, …… 閱讀更多內容

    NT$6,201 TWD

  • Fuzzy Differential Equations in Various Approaches

    系列 series Mathematics and Statistics (R0)
    This book may be used as reference for graduate students interested in fuzzy differential equations and researchers working in fuzzy sets and systems, dynamical systems, uncertainty analysis, and applications of uncertain dynamical systems. Beginning with a historical overview and introduction to fundamental notions of fuzzy sets, including different possibilities of fuzzy differentiation and …… 閱讀更多內容

    NT$1,739 TWD

  • Advanced Topics in Fractional Differential Equations

    A Fixed Point Approach

    系列 series eBColl Synthesis Collection 12
    This book explores fractional differential equations with a fixed point approach. The authors highlight the existence, uniqueness, and stability results for various classes of fractional differential equations. All of the problems in the book also deal with some form of of the well-known Hilfer fractional derivative, which unifies the Riemann-Liouville and Caputo fractional derivatives. Classical …… 閱讀更多內容

    NT$1,391 TWD

  • Turnpike Conditions in Infinite Dimensional Optimal Control

    系列 series Mathematics and Statistics (R0)
    This book provides a comprehensive study of turnpike phenomenon arising in optimal control theory. The focus is on individual (non-generic) turnpike results which are both mathematically significant and have numerous applications in engineering and economic theory. All results obtained in the book are new. New approaches, techniques, and methods are rigorously presented and utilize research from …… 閱讀更多內容

    NT$2,956 TWD

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

    Dirichlet Boundary Conditions on Euclidean Space

    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 the stabilization property of the damped wave equation and the null-controllability of the heat equation. All analysis is performed in the case of open sets in the Euclidean space; a second volume will extend this treatment to …… 閱讀更多內容

    NT$4,521 TWD

  • STEMisphere

    STEMisphere: Ignite Curiosity, Inspire Innovation!Unleash the power of imagination with STEMisphere, an exciting guide for young explorers aged 4-14. Packed with over 100 hands-on STEM and STEAM projects, this book is the ultimate tool for cultivating a lifelong love of science, technology, engineering, art, and mathematics.From creative crafts to fascinating experiments, STEMisphere brings …… 閱讀更多內容

    NT$252 TWD 透過 Kobo Plus 免費享用

  • A Primer on the Dirichlet Space

    系列 第 203 冊 - Cambridge Tracts in Mathematics
    The Dirichlet space is one of the three fundamental Hilbert spaces of holomorphic functions on the unit disk. It boasts a rich and beautiful theory, yet at the same time remains a source of challenging open problems and a subject of active mathematical research. This book is the first systematic account of the Dirichlet space, assembling results previously only found in scattered research articles …… 閱讀更多內容

    NT$2,638 TWD

  • Algebraic Topology and Related Topics

    編輯者: Mahender Singh, Yongjin Song, Jie Wu ……
    系列 series Springer Nature Proceedings excluding Computer Science
    This book highlights the latest advances in algebraic topology, from homotopy theory, braid groups, configuration spaces and toric topology, to transformation groups and the adjoining area of knot theory. It consists of well-written original research papers and survey articles by subject experts, most of which were presented at the “7th East Asian Conference on Algebraic Topology” held at the …… 閱讀更多內容

    NT$5,216 TWD

  • Esercizi di matematica: analisi complessa

    Simone Malacrida ……
    In questo libro sono svolti degli esercizi riguardo i seguenti argomenti matematici:monodromia e polidromia in analisi complessaintegrali e serie complesseteoremi notevoli di analisi complessaSono altresì presentati dei cenni teorici iniziali per fare comprendere lo svolgimento degli esercizi …… 閱讀更多內容

    NT$126 TWD

  • Nonlinear Evolution Equations

    Songmu Zheng ……
    Nonlinear evolution equations arise in many fields of sciences including physics, mechanics, and material science. This book introduces some important methods for dealing with these equations and explains clearly and concisely a wide range of relevant theories and techniques. These include the semigroup method, the compactness and monotone operator …… 閱讀更多內容

    NT$7,462 TWD

  • Solving Ordinary and Partial Boundary Value Problems in Science and Engineering

    Karel Rektorys ……
    系列 series Applied and Computational Mechanics
    This book provides an elementary, accessible introduction for engineers and scientists to the concepts of ordinary and partial boundary value problems, acquainting readers with fundamental properties and with efficient methods of constructing solutions or satisfactory approximations.Discussions include:ordinary differential equationsclassical theory of partial differential equationsLaplace and …… 閱讀更多內容

    NT$2,454 TWD

  • Topics in Fixed Point Theory

    The purpose of this contributed volume is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The book presents information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in mathematical analysis as …… 閱讀更多內容

    NT$3,130 TWD

  • Hamiltonian Partial Differential Equations and Applications

    系列 第 75 冊 - Fields Institute Communications
    This book is a unique selection of work by world-class experts exploring the latest developments in Hamiltonian partial differential equations and their applications. Topics covered within are representative of the field’s wide scope, including KAM and normal form theories, perturbation and variational methods, integrable systems, stability of nonlinear solutions as well as applications to …… 閱讀更多內容

    NT$1,739 TWD

  • Theory of Computational Complexity

    Ding-Zhu Du, Ker-I Ko ……
    系列 series Wiley Series in Discrete Mathematics and Optimization
    Praise for the First Edition"... complete, up-to-date coverage of computational complexity theory...the book promises to become the standard reference on computational complexity."—Zentralblatt MATHA thorough revision based on advances in the field of computational complexity and readers’ feedback, the Second Edition of Theory of Computational Complexity presents updates to the principles and …… 閱讀更多內容

    NT$3,557 TWD

  • Probability Theory

    A Comprehensive Course

    Achim Klenke ……
    系列 series Mathematics and Statistics (R0)
    This second edition of the popular textbook contains a comprehensive course in modern probability theory, covering a wide variety of topics which are not usually found in introductory textbooks, including:• limit theorems for sums of random variables• martingales• percolation• Markov chains and electrical networks• construction of stochastic processes• Poisson point process and infinite …… 閱讀更多內容

    NT$2,956 TWD

  • Operator Theoretic Aspects of Ergodic Theory

    系列 series Mathematics and Statistics (R0)
    Stunning recent results by Host–Kra, Green–Tao, and others, highlight the timeliness of this systematic introduction to classical ergodic theory using the tools of operator theory. Assuming no prior exposure to ergodic theory, this book provides a modern foundation for introductory courses on ergodic theory, especially for students or researchers with an interest in functional analysis. While …… 閱讀更多內容

    NT$2,434 TWD

  • Partial Differential Equations and Geometric Measure Theory

    Cetraro, Italy 2014

    系列 series Mathematics and Statistics (R0)
    This book collects together lectures by some of the leaders in the field of partial differential equations and geometric measure theory. It features a wide variety of research topics in which a crucial role is played by the interaction of fine analytic techniques and deep geometric observations, combining the intuitive and geometric aspects of mathematics with analytical ideas and variational …… 閱讀更多內容

    NT$2,608 TWD

  • Multi-scale Analysis for Random Quantum Systems with Interaction

    系列 series Mathematics and Statistics (R0)
    The study of quantum disorder has generated considerable research activity in mathematics and physics over past 40 years. While single-particle models have been extensively studied at a rigorous mathematical level, little was known about systems of several interacting particles, let alone systems with positive spatial particle density. Creating a consistent theory of disorder in multi-particle …… 閱讀更多內容

    NT$2,261 TWD

  • Fixed Point Theory in Metric Type Spaces

    系列 series Mathematics and Statistics (R0)
    Written by a team of leading experts in the field, this volume presents a self-contained account of the theory, techniques and results in metric type spaces (in particular in G-metric spaces); that is, the text approaches this important area of fixed point analysis beginning from the basic ideas of metric space topology.The text is structured so that it leads the reader from preliminaries and …… 閱讀更多內容

    NT$3,825 TWD

  • A Primer on Hilbert Space Theory

    Linear Spaces, Topological Spaces, Metric Spaces, Normed Spaces, and Topological Groups

    系列 series Physics and Astronomy (R0)
    This book is an introduction to the theory of Hilbert space, a fundamental tool for non-relativistic quantum mechanics. Linear, topological, metric, and normed spaces are all addressed in detail, in a rigorous but reader-friendly fashion. The rationale for an introduction to the theory of Hilbert space, rather than a detailed study of Hilbert space theory itself, resides in the very high …… 閱讀更多內容

    NT$2,086 TWD

  • Lagrangian and Hamiltonian Mechanics

    A Modern Approach with Core Principles and Underlying Topics

    系列 series Physics and Astronomy (R0)
    This book serves as a textbook for an analytical mechanics course, a fundamental subject of physics, that pays special attention to important topics that are not discussed in most standard textbooks. Readers are provided with a clear understanding of topics that are usually inaccessible to the undergraduate level and that are critical to learning Lagrangian and Hamiltonian mechanics. Each chapter …… 閱讀更多內容

    NT$1,913 TWD

  • Operator Analysis

    Hilbert Space Methods in Complex Analysis

    系列 第 219 冊 - Cambridge Tracts in Mathematics
    This book shows how operator theory interacts with function theory in one and several variables. The authors develop the theory in detail, leading the reader to the cutting edge of contemporary research. It starts with a treatment of the theory of bounded holomorphic functions on the unit disc. Model theory and the network realization formula are used to solve Nevanlinna-Pick interpolation …… 閱讀更多內容

    NT$4,868 TWD