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功能分析 電子書

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  • What Is Calculus?: From Simple Algebra To Deep Analysis

    R Michael Range ……
    This unique book provides a new and well-motivated introduction to calculus and analysis, historically significant fundamental areas of mathematics that are widely used in many disciplines. It begins with familiar elementary high school geometry and algebra, and develops important concepts such as tangents and derivatives without using any advanced tools based on limits and infinite processes that …… 閱讀更多內容

    $209.89 HKD

  • Introduction To Analysis With Complex Numbers

    Irena Swanson ……
    This is a self-contained book that covers the standard topics in introductory analysis and that in addition constructs the natural, rational, real and complex numbers, and also handles complex-valued functions, sequences, and series.The book teaches how to write proofs. Fundamental proof-writing logic is covered in Chapter 1 and is repeated and enhanced in two appendices. Many examples of proofs …… 閱讀更多內容

    $377.79 HKD

  • Real Analysis: Theory Of Measure And Integration (3rd Edition)

    James J Yeh ……
    This book presents a unified treatise of the theory of measure and integration. In the setting of a general measure space, every concept is defined precisely and every theorem is presented with a clear and complete proof with all the relevant details. Counter-examples are provided to show that certain conditions in the hypothesis of a theorem cannot be simply dropped. The dependence of a theorem …… 閱讀更多內容

    $475.69 HKD

  • Tropical Value Distribution Theory And Ultra-discrete Equations

    This is the first textbook-type presentation of tropical value distribution theory. It provides a detailed introduction of the tropical version of the Nevanlinna theory, describing growth and value distribution analysis of continuous, piecewise linear functions on the real axis. The book also includes applications of this theory to ultra-discrete equations. Three appendices are given to compare …… 閱讀更多內容

    $321.79 HKD

  • Analytic Number Theory: An Introductory Course

    系列 第 1 冊 - Monographs In Number Theory
    This valuable book focuses on a collection of powerful methods of analysis that yield deep number-theoretical estimates. Particular attention is given to counting functions of prime numbers and multiplicative arithmetic functions. Both real variable (”elementary”) and complex variable (”analytic”) methods are employed. The reader is assumed to have knowledge of elementary number theory (abstract …… 閱讀更多內容

    $162.49 HKD

  • Analysis And Mathematical Physics

    系列 第 6 冊 - Ltcc Advanced Mathematics Series
    This is a concise reference book on analysis and mathematical physics, leading readers from a foundation to advanced level understanding of the topic. This is the perfect text for graduate or PhD mathematical-science students looking for support in topics such as distributions, Fourier transforms and microlocal analysis, C* Algebras, value distribution of meromorphic functions, noncommutative …… 閱讀更多內容

    $545.59 HKD

  • Partial Differential Equations in Sobolev and Analytic Spaces

    Partial Differential Equations (PDEs) are fundamental in fields such as physics and engineering, underpinning our understanding of sound, heat, diffusion, electrostatics, electrodynamics, thermodynamics, fluid dynamics, elasticity, general relativity, and quantum mechanics. They also arise in areas like differential geometry and the calculus of variations.This book focuses on recent investigations …… 閱讀更多內容

    $995.79 HKD

  • Selected Topics on Generalized Integration

    This comprehensive volume offers an in-depth exploration of advanced integration theories, extending beyond classical methods to unify and expand the field. Building on the foundational work of Jaroslav Kurzweil and Ralph Henstock, the book delves into the Henstock–Kurzweil and McShane gauge integrals, presenting a more intuitive and versatile alternative to the traditional Lebesgue integral. By …… 閱讀更多內容

    $607.69 HKD

  • Dynamical Zeta Functions and Dynamical Determinants for Hyperbolic Maps

    A Functional Approach

    Viviane Baladi ……
    系列 series Mathematics and Statistics (R0)
    The spectra of transfer operators associated to dynamical systems, when acting on suitable Banach spaces, contain key information about the ergodic properties of the systems. Focusing on expanding and hyperbolic maps, this book gives a self-contained account on the relation between zeroes of dynamical determinants, poles of dynamical zeta functions, and the discrete spectra of the transfer …… 閱讀更多內容

    $994.19 HKD

  • Mathematical Foundations of Computational Electromagnetism

    系列 series Mathematics and Statistics (R0)
    This book presents an in-depth treatment of various mathematical aspects of electromagnetism and Maxwell's equations: from modeling issues to well-posedness results and the coupled models of plasma physics (Vlasov-Maxwell and Vlasov-Poisson systems) and magnetohydrodynamics (MHD). These equations and boundary conditions are discussed, including a brief review of absorbing boundary conditions. The …… 閱讀更多內容

    $1,076.99 HKD

  • Anomalies in Partial Differential Equations

    系列 series Springer Nature Proceedings excluding Computer Science
    The contributions contained in the volume, written by leading experts in their respective fields, are expanded versions of talks given at the INDAM Workshop "Anomalies in Partial Differential Equations" held in September 2019 at the Istituto Nazionale di Alta Matematica, Dipartimento di Matematica "Guido Castelnuovo", Università di Roma "La Sapienza". The volume contains results for well-posedness …… 閱讀更多內容

    $1,656.99 HKD

  • Monte Carlo and Quasi-Monte Carlo Methods

    MCQMC 2020, Oxford, United Kingdom, August 10–14

    編輯者: Alexander Keller ……
    系列 series Springer Nature Proceedings excluding Computer Science
    This volume presents the revised papers of the 14th International Conference in Monte Carlo and Quasi-Monte Carlo Methods in Scientific Computing, MCQMC 2020, which took place online during August 10-14, 2020.This book is an excellent reference resource for theoreticians and practitioners interested in solving high-dimensional computational problems, arising, in particular, in statistics, machine …… 閱讀更多內容

    $1,408.39 HKD

  • Upper and Lower Bounds for Stochastic Processes

    Modern Methods and Classical Problems

    Michel Talagrand ……
    系列 series Mathematics and Statistics (R0)
    The book develops modern methods and in particular the "generic chaining" to bound stochastic processes. This methods allows in particular to get optimal bounds for Gaussian and Bernoulli processes. Applications are given to stable processes, infinitely divisible processes, matching theorems, the convergence of random Fourier series, of orthogonal series, and to functional analysis. The complete …… 閱讀更多內容

    $911.29 HKD

  • Fuzzy Optimization, Decision-making and Operations Research

    Theory and Applications

    系列 series Mathematics and Statistics (R0)
    After developing fuzzy set theory, many contributors focused their research on the extension of fuzzy sets and their computational methodologies, strengthening modern science and technology. In some real-life phenomena, the conventional methods and traditional fuzzy sets cannot be explained, whereas the extension of fuzzy sets and effective new computing methods can explain it adequately.This …… 閱讀更多內容

    $1,242.69 HKD

  • Recent Trends in Combinatorics

    系列 series Mathematics and Statistics (R0)
    This volume presents some of the research topics discussed at the 2014-2015 Annual Thematic Program Discrete Structures: Analysis and Applications at the Institute for Mathematics and its Applications during Fall 2014, when combinatorics was the focus. Leading experts have written surveys of research problems, making state of the art results more conveniently and widely available. The three-part …… 閱讀更多內容

    $1,656.99 HKD

  • Pseudodifferential Equations Over Non-Archimedean Spaces

    系列 series Mathematics and Statistics (R0)
    Focusing on p-adic and adelic analogues of pseudodifferential equations, this monograph presents a very general theory of parabolic-type equations and their Markov processes motivated by their connection with models of complex hierarchic systems. The Gelfand-Shilov method for constructing fundamental solutions using local zeta functions is developed in a p-adic setting and several particular …… 閱讀更多內容

    $306.49 HKD

  • Semigroups of Operators -Theory and Applications

    Będlewo, Poland, October 2013

    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

    $745.59 HKD

  • Fluids Under Control

    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

    $1,076.99 HKD

  • Elliptic Differential Operators and Spectral Analysis

    系列 series Mathematics and Statistics (R0)
    This book deals with elliptic differential equations, providing the analytic background necessary for the treatment of associated spectral questions, and covering important topics previously scattered throughout the literature.Starting with the basics of elliptic operators and their naturally associated function spaces, the authors then proceed to cover various related topics of current and …… 閱讀更多內容

    $994.19 HKD

  • Zero Product Determined Algebras

    Matej Brešar ……
    系列 series Mathematics and Statistics (R0)
    This book provides a concise survey of the theory of zero product-determined algebras, which has been developed over the last 15 years. It is divided into three parts. The first part presents the purely algebraic branch of the theory, the second part presents the functional analytic branch, and the third part discusses various applications.The book is intended for researchers and graduate students …… 閱讀更多內容

    $455.59 HKD

  • Handbook of Functional Equations

    Functional Inequalities

    編輯者: Themistocles M. Rassias ……
    系列 series Mathematics and Statistics (R0)
    As Richard Bellman has so elegantly stated at the Second International Conference on General Inequalities (Oberwolfach, 1978), “There are three reasons for the study of inequalities: practical, theoretical, and aesthetic.” On the aesthetic aspects, he said, “As has been pointed out, beauty is in the eye of the beholder. However, it is generally agreed that certain pieces of music, art, or …… 閱讀更多內容

    $745.59 HKD

  • Discrete and Continuous Models in the Theory of Networks

    系列 series Mathematics and Statistics (R0)
    This book contains contributions from the participants of the research group hosted by the ZiF - Center for Interdisciplinary Research at the University of Bielefeld during the period 2013-2017 as well as from the conclusive conference organized at Bielefeld in December 2017. The contributions consist of original research papers: they mirror the scientific developments fostered by this research …… 閱讀更多內容

    $911.29 HKD

  • Geometric Harmonic Analysis I

    A Sharp Divergence Theorem with Nontangential Pointwise Traces

    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

    $1,408.39 HKD

  • Introduction to Banach Spaces: Analysis and Probability: Volume 2

    系列 第 167 冊 - Cambridge Studies in Advanced Mathematics
    This two-volume text provides a complete overview of the theory of Banach spaces, emphasising its interplay with classical and harmonic analysis (particularly Sidon sets) and probability. The authors give a full exposition of all results, as well as numerous exercises and comments to complement the text and aid graduate students in functional analysis. The book will also be an invaluable reference …… 閱讀更多內容

    $794.59 HKD