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微分方程式 電子書

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  • Ordinary Differential Equations With Applications (2nd Edition)

    由 Sze-bi Hsu ……
    系列 第 21 冊 - Series On Applied Mathematics
    During the past three decades, the development of nonlinear analysis, dynamical systems and their applications to science and engineering has stimulated renewed enthusiasm for the theory of Ordinary Differential Equations (ODE).This useful book, which is based on the lecture notes of a well-received graduate course, emphasizes both theory and applications, taking numerous examples from physics and …… 閱讀更多內容

    NT$693 TWD

  • 経済数学入門11：微分方程式

    由 大西一弘 ……
    系列 第 11 冊 - 経済数学入門
    本書は，経済学及び経営学を学ぶために必要な数学の入門テキストの第11巻です。今回は，「微分方程式」について解説しています。経済学あるいは経営学を学んでいるあるいは学ぼうと考えている学生や社会人は，ぜひご一読ください。本書で扱っている内容は，常微分方程式，階数，1階，2階，高階，一般解，特殊解，初期条件，変数分離形，同次形，1階線形などです。練習問題及びその解答もあります。「微分方程式」の基本が一日で分かります！ …… 閱讀更多內容

    NT$40 TWD 透過 Kobo Plus 免費享用

  • 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

  • 微分方程与三角测量

    由 林群 ……
    本书使用中学生熟悉的三角测量知识，通过测量树高、山高的实际例子，直观地推导出了微积分的基本定理“牛顿-莱布尼茨公式”，并逐步讲解了微分方程的基本特征，从初等三角学的角度呈现了微分方程的意义。本书行文简洁、图例丰富、启发性强，可作为了解微分方程的科普读物，也适合相关专业的学生阅读和参考。 …… 閱讀更多內容

    NT$197 TWD

  • Complex Analysis in One Variable and Riemann Surfaces

    由 Mei-Chi Shaw, Charles M. Stanton ……
    系列 series Mathematics and Statistics (R0)
    This textbook is intended for an introductory course in the theory of complex analysis and Riemann surfaces. A special feature includes the systematic treatment of complex analysis from the point of view of partial differential equations. The main goal is to study complex analysis in one variable using modern mathematics with emphasis on its deep connections to other branches of mathematics, …… 閱讀更多內容

    NT$2,608 TWD

  • Ordinary Differential Equations with Applications

    由 Sze-Bi Hsu, Kuo-Chang Chen ……
    系列 第 23 冊 - Series on Applied Mathematics
    Written in a straightforward and easily accessible style, this volume is suitable as a textbook for advanced undergraduate or first-year graduate students in mathematics, physical sciences, and engineering. The aim is to provide students with a strong background in the theories of Ordinary Differential Equations, Dynamical Systems and Boundary Value Problems, including regular and singular …… 閱讀更多內容

    NT$851 TWD

  • The Principles of Mathematical Physics

    Enriched edition. Chaos, Determinism, and the Mathematical Foundations of Physical Law

    由 Henri Poincaré ……
    譯者: George Bruce Halsted ……
    In "The Principles of Mathematical Physics," Henri Poincaré offers a seminal exploration of the interplay between mathematics and the physical sciences, articulating principles that would later underpin modern scientific thought. With a unique blend of rigorous mathematical formulation and philosophical inquiry, Poincaré addresses complex topics such as chaos theory, determinism, and the …… 閱讀更多內容

    NT$60 TWD 透過 Kobo Plus 免費享用

  • Introduction To Analysis, An

    由 Piotr Mikusinski, Jan Mikusinski ……
    The book contains a rigorous exposition of calculus of a single real variable. It covers the standard topics of an introductory analysis course, namely, functions, continuity, differentiability, sequences and series of numbers, sequences and series of functions, and integration. A direct treatment of the Lebesgue integral, based solely on the concept of absolutely convergent series, is presented, …… 閱讀更多內容

    NT$1,045 TWD

  • Multiple Time Scale Dynamics

    由 Christian Kuehn ……
    系列 series Mathematics and Statistics (R0)
    This book provides an introduction to dynamical systems with multiple time scales. The approach it takes is to provide an overview of key areas, particularly topics that are less available in the introductory form. The broad range of topics included makes it accessible for students and researchers new to the field to gain a quick and thorough overview. The first of its kind, this book merges a …… 閱讀更多內容

    NT$2,783 TWD

  • Infinite-dimensional Dynamical Systems In Atmospheric And Oceanic Science

    由 Boling Guo, Daiwen Huang ……
    The book provides some recent works in the study of some infinite-dimensional dynamical systems in atmospheric and oceanic science. It devotes itself to considering some infinite-dimensional dynamical systems in atmospheric and oceanic science, especially in geophysical fluid dynamics. The subject on geophysical fluid dynamics mainly tends to focus on the dynamics of large-scale phenomena in the …… 閱讀更多內容

    NT$1,553 TWD

  • Ordinary And Partial Differential Equations For The Beginner

    由 Laszlo Szekelyhidi ……
    This textbook is intended for college, undergraduate and graduate students, emphasizing mainly on ordinary differential equations. However, the theory of characteristics for first order partial differential equations and the classification of second order linear partial differential operators are also included. It contains the basic material starting from elementary solution methods for ordinary …… 閱讀更多內容

    NT$1,074 TWD

  • Change and Variations

    A History of Differential Equations to 1900

    由 Jeremy Gray ……
    系列 series Mathematics and Statistics (R0)
    This book presents a history of differential equations, both ordinary and partial, as well as the calculus of variations, from the origins of the subjects to around 1900. Topics treated include the wave equation in the hands of d’Alembert and Euler; Fourier’s solutions to the heat equation and the contribution of Kovalevskaya; the work of Euler, Gauss, Kummer, Riemann, and Poincaré on the …… 閱讀更多內容

    NT$1,217 TWD

  • Geometric Properties for Parabolic and Elliptic PDE's

    編輯者: Rolando Magnanini, Shigeru Sakaguchi, Angelo Alvino ……
    系列 series Mathematics and Statistics (R0)
    The study of qualitative aspects of PDE's has always attracted much attention from the early beginnings. More recently, once basic issues about PDE's, such as existence, uniqueness and stability of solutions, have been understood quite well, research on topological and/or geometric properties of their solutions has become more intense. The study of these issues is attracting the interest of an …… 閱讀更多內容

    NT$3,130 TWD

  • Numerical Methods for Fractal-Fractional Differential Equations and Engineering

    Simulations and Modeling

    由 Muhammad Altaf Khan, Abdon Atangana ……
    系列 series Mathematics and its Applications
    This book is about the simulation and modeling of novel chaotic systems within the frame of fractal-fractional operators. The methods used, their convergence, stability, and error analysis are given, and this is the first book to offer mathematical modeling and simulations of chaotic problems with a wide range of fractal-fractional operators, to find solutions.Numerical Methods for Fractal …… 閱讀更多內容

    NT$2,322 TWD

  • Control of Wave and Beam PDEs

    The Riesz Basis Approach

    由 Bao-Zhu Guo, Jun-Min Wang ……
    系列 series Intelligent Technologies and Robotics (R0)
    Control of Wave and Beam PDEs is a concise, self-contained introduction to Riesz bases in Hilbert space and their applications to control systems described by partial differential equations (PDEs). The authors discuss classes of systems that satisfy the spectral determined growth condition, the problem of stability, and the relationship between fulfillment of the condition and stability.Using the …… 閱讀更多內容

    NT$4,869 TWD

  • Fractional Laplacian, The

    由 Wenxiong Chen, Yan Li, Pei Ma ……
    This is a unique book that provides a comprehensive understanding of nonlinear equations involving the fractional Laplacian as well as other nonlocal operators. Beginning from the definition of fractional Laplacian, it gradually leads the readers to the frontier of current research in this area. The explanations and illustrations are elementary enough so that first year graduate students can …… 閱讀更多內容

    NT$3,045 TWD

  • Advanced Mathematics for Engineers and Physicists

    由 Sever Angel Popescu, Marilena Jianu ……
    系列 series Mathematics and Statistics (R0)
    This book is designed to be an introductory course to some basic chapters of Advanced Mathematics for Engineering and Physics students, researchers in different branches of Applied Mathematics and anyone wanting to improve their mathematical knowledge by a clear, live, self-contained and motivated text.Here, one can find different topics, such as differential (first order or higher order) …… 閱讀更多內容

    NT$2,783 TWD

  • Applications of Homogenization Theory to the Study of Mineralized Tissue

    由 Robert P. Gilbert, Ana Vasilic, Sandra Klinge, Alex Panchenko, Klaus Hackl ……
    系列 series Chapman & Hall/CRC Monographs and Research Notes in Mathematics
    Homogenization is a fairly new, yet deep field of mathematics which is used as a powerful tool for analysis of applied problems which involve multiple scales. Generally, homogenization is utilized as a modeling procedure to describe processes in complex structures.Applications of Homogenization Theory to the Study of Mineralized Tissue functions as an introduction to the theory of homogenization. …… 閱讀更多內容

    NT$2,752 TWD

  • Analysis and Differential Equations

    由 Odile Pons ……
    The book presents advanced methods of integral calculus and optimization, the classical theory of ordinary and partial differential equations and systems of dynamical equations. It provides explicit solutions of linear and nonlinear differential equations, and implicit solutions with discrete approximations.The main changes of this second edition are: the addition of theoretical sections proving …… 閱讀更多內容

    NT$1,164 TWD

  • Partial Differential Equations for Mathematical Physicists

    由 Bijan Kumar Bagchi ……
    Partial Differential Equations for Mathematical Physicists is intended for graduate students, researchers of theoretical physics and applied mathematics, and professionals who want to take a course in partial differential equations. This book offers the essentials of the subject with the prerequisite being only an elementary knowledge of introductory calculus, ordinary differential equations, and …… 閱讀更多內容

    NT$5,705 TWD

  • Numerische Behandlung gewöhnlicher und partieller Differenzialgleichungen

    Ein anwendungsorientiertes Lehrbuch für Ingenieure

    由 Claus-Dieter Munz, Thomas Westermann ……
    系列 series Computer Science and Engineering (German Language)
    Das Lehrbuch vermittelt die Herleitung numerischer Algorithmen zur Lösung von Differenzialgleichungen und gibt einen Einblick in die praktische Implementierung.Anhand von Beispielen und Übungsaufgaben mit Problemstellungen aus dem Ingenieurbereich werden Eigenschaften und Einsatzbereiche der verschiedenen Verfahren erläutert. Für die Beispiele und Aufgaben stehen MAPLE-Worksheets und MATLAB …… 閱讀更多內容

    NT$1,398 TWD

  • Nonlinear Elliptic Partial Differential Equations

    An Introduction

    由 Hervé Le Dret ……
    系列 series Mathematics and Statistics (R0)
    This textbook presents the essential parts of the modern theory of nonlinear partial differential equations, including the calculus of variations.After a short review of results in real and functional analysis, the author introduces the main mathematical techniques for solving both semilinear and quasilinear elliptic PDEs, and the associated boundary value problems. Key topics include infinite …… 閱讀更多內容

    NT$2,261 TWD

  • Elements Of Mathematical Theory Of Evolutionary Equations In Banach Spaces

    由 Anatoliy M Samoilenko, Yuriy Teplinsky ……
    系列 第 86 冊 - World Scientific Series On Nonlinear Science Series A
    Evolutionary equations are studied in abstract Banach spaces and in spaces of bounded number sequences. For linear and nonlinear difference equations, which are defined on finite-dimensional and infinite-dimensional tori, the problem of reducibility is solved, in particular, in neighborhoods of their invariant sets, and the basics for a theory of invariant tori and bounded semi-invariant manifolds …… 閱讀更多內容

    NT$1,672 TWD

  • Advances in Nonlinear Mechanics in China

    由 Wenhu Huang ……
    系列 series Advances in Engineering Series
    Since the 1990s, significant advances have been made in the research on nonlinear dynamics in China. Many papers were published in Chinese in the Journal of Vibration Engineering, Journal of Nonlinear Dynamics, and Vibration and Shock. This work offers translations of selected articles. …… 閱讀更多內容

    NT$2,587 TWD