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微分方程式 電子書籍

微分方程式 の本がお好きな方におすすめです。
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  • Fixed Point Theorems and Applications

    − Vittorino Pata ...
    シリーズ 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 ... もっと見る

    6,076 円

  • 経済数学入門11:微分方程式

    − 大西一弘 ...
    シリーズ 本: 11 - 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! ... もっと見る

    198 円

  • 頭にしみこむ微分積分

    − 瀬山士郎 ...
    【ご注意:本書は固定レイアウト型の電子書籍です。ビューア機能が制限されたり、環境により表示が異なる場合があります】微分積分は中学から高校へ,また高校から大学へと進んだときに,その扱う内容の抽象度に差があり苦手意識を持つ人が出てしまう科目の筆頭です。しかし,実は小学校で学んだ速度や濃度など算数の領域にすでに微分積分の核心はあったのです。本書の第1部ではまずその辺から最小限の数式だけを使って説明し,微分積分の考え方を見直していきます。第2部では,第1部で理解した考え方がどういう意味を持ってくるのか,なんのために計算をしているのかを探っていきます。 ... もっと見る

    1,848 円

  • Hilbert

    − Constance Reid ...
    シリーズ series Social Sciences (R0)
    Now in new trade paper editions, these classic biographies of two of the greatest 20th Century mathematicians are being released under the Copernicus imprint. These noteworthy accounts of the lives of David Hilbert and Richard Courant are closely related: Courant's story is, in many ways, seen as the sequel to the story of Hilbert. Originally published to great acclaim, both books explore the ... もっと見る

    4,254 円

  • 東大理系数学 系統と分析

    − 松田聡平 ...
    【ご注意:本書は固定レイアウト型の電子書籍です。ビューア機能が制限されたり、環境により表示が異なる場合があります】東京大学理系志望者,国立大理系受験者向けの問題集です。東大理系数学ならではのクセや傾向を分析し,解くための前提知識,ポイント,さらに知っていると得するテクニックなどを紹介します。過去問100問を分野別にソートし,見開き2ページ完結型で解説するので自分が苦手な部分を集中的に読むこともできます。東大の過去問だけではなく他大学からの出題例も類題として掲載するので,東大受験生だけではなく難関私大受験者も本書で実戦力・思考力を養うことができます。 ... もっと見る

    1,848 円

  • Trends in PDE Constrained Optimization

    シリーズ series Mathematics and Statistics (R0)
    Optimization problems subject to constraints governed by partial differential equations (PDEs) are among the most challenging problems in the context of industrial, economical and medical applications. Almost the entire range of problems in this field of research was studied and further explored as part of the Deutsche Forschungsgemeinschaft (DFG) priority program 1253 on “Optimization with ... もっと見る

    15,800 円

  • Optimal Control with Aerospace Applications

    シリーズ series Engineering (R0)
    Want to know not just what makes rockets go up but how to do it optimally? Optimal control theory has become such an important field in aerospace engineering that no graduate student or practicing engineer can afford to be without a working knowledge of it. This is the first book that begins from scratch to teach the reader the basic principles of the calculus of variations, develop the necessary ... もっと見る

    7,900 円

  • 東大文系数学 系統と分析

    − 松田聡平 ...
    【ご注意:本書は固定レイアウト型の電子書籍です。ビューア機能が制限されたり、環境により表示が異なる場合があります】東京大学文系志望者,国立大文系受験者のうち数学を使う受験生向けの問題集です。東大文系数学ならではのクセや傾向を分析し,解くための前提知識,ポイント,さらに知っていると得するテクニックなどを紹介します。過去問100 問を分野別にソートし,見開き2 ページ完結型で解説するので自分が苦手な部分を集中的に解くこともできます。2016年の入試問題も掲載します。本書の100問をきっちりマスターできれば,東大受験に必要な実戦力が身につくはずです。 ... もっと見る

    1,848 円

  • Introductory Mathematics for Economics 11: Differential Equations

    シリーズ 本: 11 - Introductory Mathematics for Economics
    本書は,経済学及び経営学を学ぶために必要な数学のに入門テキストの第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! ... もっと見る

    198 円

  • The Dynamics of Nonlinear Reaction-Diffusion Equations with Small Lévy Noise

    シリーズ series Mathematics and Statistics (R0)
    This work considers a small random perturbation of alpha-stable jump type nonlinear reaction-diffusion equations with Dirichlet boundary conditions over an interval. It has two stable points whose domains of attraction meet in a separating manifold with several saddle points. Extending a method developed by Imkeller and Pavlyukevich it proves that in contrast to a Gaussian perturbation, the ... もっと見る

    4,254 円

  • Fractional Differential Equations

    An Introduction to Fractional Derivatives, Fractional Differential Equations, to Methods of Their Solution and Some of Their Applications

    − Igor Podlubny ...
    シリーズ 本: 198 - Mathematics in Science and Engineering
    This book is a landmark title in the continuous move from integer to non-integer in mathematics: from integer numbers to real numbers, from factorials to the gamma function, from integer-order models to models of an arbitrary order. For historical reasons, the word 'fractional' is used instead of the word 'arbitrary'.This book is written for readers who are new to the fields of fractional ... もっと見る

    11,100 円

  • Nonelliptic Partial Differential Equations

    Analytic Hypoellipticity and the Courage to Localize High Powers of T

    シリーズ series Mathematics and Statistics (R0)
    This book provides a very readable description of a technique, developed by the author years ago but as current as ever, for proving that solutions to certain (non-elliptic) partial differential equations only have real analytic solutions when the data are real analytic (locally). The technique is completely elementary but relies on a construction, a kind of a non-commutative power series, to ... もっと見る

    12,154 円

  • Partial Differential Equations

    An Introduction to Theory and Applications

    An accessible yet rigorous introduction to partial differential equationsThis textbook provides beginning graduate students and advanced undergraduates with an accessible introduction to the rich subject of partial differential equations (PDEs). It presents a rigorous and clear explanation of the more elementary theoretical aspects of PDEs, while also drawing connections to deeper analysis and ... もっと見る

    14,675 円

  • Handbook of Differential Equations: Ordinary Differential Equations

    シリーズ 本: 4 - Handbook of Differential Equations: Ordinary Differential Equations
    This handbook is the fourth volume in a series of volumes devoted to self-contained and up-to-date surveys in the theory of ordinary differential equations, with an additional effort to achieve readability for mathematicians and scientists from other related fields so that the chapters have been made accessible to a wider audience. - Covers a variety of problems in ordinary differential equations ... もっと見る

    22,205 円

  • Normal Forms, Melnikov Functions and Bifurcations of Limit Cycles

    − Maoan Han, Pei Yu ...
    シリーズ series Mathematics and Statistics (R0)
    Dynamical system theory has developed rapidly over the past fifty years. It is a subject upon which the theory of limit cycles has a significant impact for both theoretical advances and practical solutions to problems. Hopf bifurcation from a center or a focus is integral to the theory of bifurcation of limit cycles, for which normal form theory is a central tool. Although Hopf bifurcation has ... もっと見る

    6,076 円

  • Walter Gautschi, Volume 1

    Selected Works with Commentaries

    シリーズ series Mathematics and Statistics (R0)
    Walter Gautschi has written extensively on topics ranging from special functions, quadrature and orthogonal polynomials to difference and differential equations, software implementations, and the history of mathematics. He is world renowned for his pioneering work in numerical analysis and constructive orthogonal polynomials, including a definitive textbook in the former, and a monograph in the ... もっと見る

    12,154 円

  • Partial Differential Equations in Fluid Mechanics

    シリーズ 本: 452 - London Mathematical Society Lecture Note Series
    The Euler and Navier–Stokes equations are the fundamental mathematical models of fluid mechanics, and their study remains central in the modern theory of partial differential equations. This volume of articles, derived from the workshop 'PDEs in Fluid Mechanics' held at the University of Warwick in 2016, serves to consolidate, survey and further advance research in this area. It contains reviews ... もっと見る

    14,815 円

  • Algebraic Structures In Integrability: Foreword By Victor Kac

    Relationships of the theory of integrable systems with various branches of mathematics are extremely deep and diverse. On the other hand, the most fundamental exactly integrable systems often have applications in theoretical physics. Therefore, many mathematicians and physicists are interested in integrable models.The book is intelligible to graduate and PhD students and can serve as an ... もっと見る

    16,334 円

  • Ordinary and Partial Differential Equation Routines in C, C++, Fortran, Java, Maple, and MATLAB

    This book provides a set of ODE/PDE integration routines in the six most widely used computer languages, enabling scientists and engineers to apply ODE/PDE analysis toward solving complex problems. This text concisely reviews integration algorithms, then analyzes the widely used Runge-Kutta method. It first presents a complete code before discussin ... もっと見る

    48,916 円

  • Nonlocal Perimeter, Curvature and Minimal Surfaces for Measurable Sets

    シリーズ series Mathematics and Statistics (R0)
    This book highlights the latest developments in the geometry of measurable sets, presenting them in simple, straightforward terms. It addresses nonlocal notions of perimeter and curvature and studies in detail the minimal surfaces associated with them.These notions of nonlocal perimeter and curvature are defined on the basis of a non-singular kernel. Further, when the kernel is appropriately ... もっと見る

    6,685 円

  • A Compact Course on Linear PDEs

    − Alberto Valli ...
    シリーズ 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 some basic results on Fredholm alternative and spectral theory, some useful notes on functional analysis, a brief presentation of Sobolev spaces and their properties, saddle point problems, parabolic equations and ... もっと見る

    6,685 円

  • Topics in Fractional Differential Equations

    シリーズ series Mathematics and Statistics (R0)
    Topics in Fractional Differential Equations is devoted to the existence and uniqueness of solutions for various classes of Darboux problems for hyperbolic differential equations or inclusions involving the Caputo fractional derivative. Fractional calculus generalizes the integrals and derivatives to non-integer orders. During the last decade, fractional calculus was found to play a fundamental ... もっと見る

    12,154 円

  • New Frontiers in Homogenization and Fractional Calculus

    シリーズ series Mathematics and Statistics (R0)
    This volume is based on the talks presented at the "New Frontiers in Homogenization and Fractional Calculus" conference, held at CRM-Barcelona on March 24–25, 2025. This event was organized to celebrate the 50th anniversary of the mathematical technique of Gamma-convergence, introduced by Ennio De Giorgi and Tullio Franzoni in 1975. Originally developed for applied purposes, this technique remains ... もっと見る

    14,585 円

  • Incompressible Bipolar and Non-Newtonian Viscous Fluid Flow

    シリーズ series Mathematics and Statistics (R0)
    The theory of incompressible multipolar viscous fluids is a non-Newtonian model of fluid flow, which incorporates nonlinear viscosity, as well as higher order velocity gradients, and is based on scientific first principles. The Navier-Stokes model of fluid flow is based on the Stokes hypothesis, which a priori simplifies and restricts the relationship between the stress tensor and the velocity. By ... もっと見る

    12,154 円