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1.

図書
図書
1. Introduction to calculus and analysis (v. 1 - v. 2. : pbk)
Richard Courant and Fritz John, with the assistance of Albert A. Blank, Alan Solomon
出版情報: New York : Interscience Publishers, 1965-1974  2 v. ; 24 cm
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目次情報: 続きを見る
Relations Between Surface and Volume Integrals: Connection Between Line Integrals and Double Integrals in the Plane
Vector Form of the Divergence Theorem / Stokes's Theorem
Formula for Integration by Parts in Two Dimensions: / Green's Theorem
The Divergence Theorem Applied to the Transformation of Double Integrals
Area Differentiation
Interpretation of the Formulae of Gauss and Stokes by Two-Dimensional Flows
Orientation of Surfaces
Integrals of Differential Forms and of Scalars over Surfaces
Gauss's and Green's Theorems in Space
Appendix: General Theory of Surfaces and of Surface Integrals.- Differential Equations: The Differential Equations for the Motion of a Particle in Three Dimensions
The General Linear Differential Equation of the First Order
Linear Differential Equations of Higher Order
General Differential Equations of the First Order
Systems of Differential Equations and Differential Equations of Higher Order
Integration by the Method of Undermined Coefficients
The Potential of Attracting Charges and Laplace's Equation
Further Examples of Partial Differential Equations from Mathematical Physics
Calculus of Variations: Functions and Their Extreme Values of a Functional
Generalizations
Problems Involving Subsidiary Conditions. Lagrange Multipliers
Functions of a Complex Variable: Complex Functions Represented by Power Series
Foundations of the General Theory of Functions of a Complex Variable
The Integration of Analytic Functions
Cauchy's Formula and Its Applications
Applications to Complex Integration (Contour Integration)
Many-Valued Functions and Analytic Extension.
List of Biographical Dates
Index
Relations Between Surface and Volume Integrals: Connection Between Line Integrals and Double Integrals in the Plane
Vector Form of the Divergence Theorem / Stokes's Theorem
Formula for Integration by Parts in Two Dimensions: / Green's Theorem
2.

図書
図書
2. Funktionen einer Veränderlichen. 3. verbesserte Aufl., neudruck
Courant, Richard, 1888-1972
出版情報: Berlin : Springer, 1961  xi, 450 p. ; 26 cm
シリーズ名: Vorlesungen über Differential- und Integralrechnung / von R. Courant ; Bd. 1
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3.

図書
図書
3. Funktionen mehrerer veränderlicher. 3., verb. Aufl., neudruck
R. Courant
出版情報: Berlin : Springer, 1963  xi, 468 p. ; 24 cm
シリーズ名: Vorlesungen über Differential- und Integralrechnung / von R. Courant ; Bd. 2
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4.

図書
図書
4. Vorlesungen über allgemeine Funktionentheorie und elliptische Funktionen. 4. verm. und verb. Aufl
von Adolf Hurwitz ; herausgegeben und ergänzt durch einen Abschnitt über geometrische Funktionentheorie von R. Courant ; mit einem Anhang von H. Rohrl
出版情報: Berlin : Springer, 1964  xiii, 706 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 3
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5.

図書
図書
5. General Investigations of Curved Surfaces
Karl Friedrich Gauss ; translated from the Lation and German by Adam Hiltebeitel and James Morehead ; Introduction by Richard Courant
出版情報: New York : Raven Press, c1965  119 p. ; 24 cm
シリーズ名: The Raven series in higher mathematics / edited by Jay R. Goldman
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6.

図書
図書
6. Partial differential equations (: hbk ; : pbk)
by R. Courant
出版情報: New York : Wiley, c1962  xxii, 830 p. ; 24 cm
シリーズ名: Methods of mathematical physics / by R. Courant and D. Hilbert ; v. 2
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目次情報: 続きを見る
Partial table of contents
The Algebra Of Linear Transformations And Quadratic Forms
Transformation to Principal Axes of Quadratic and Hermitian Forms
Minimum-Maximum Property of Eigenvalues
Series Expansion Of Arbitrary Functions
Orthogonal Systems of Functions
Measure of Independence and Dimension Number
Fourier Series
Legendre Polynomials
Linear Integral Equations
The Expansion Theorem and Its Applications
Neumann Series and the Reciprocal Kernel
The Fredholm Formulas
The Calculus Of Variations
Direct Solutions
The Euler Equations
Vibration And Eigenvalue Problems
Systems of a Finite Number of Degrees of Freedom
The Vibrating String
The Vibrating Membrane
Green's Function (Influence Function) and Reduction of Differential Equations to Integral Equations
Application Of The Calculus Of Variations To Eigenvalue Problems
Completeness and Expansion Theorems
Nodes of Eigenfunctions
Special Functions Defined By Eigenvalue Problems
Bessel Functions
Asymptotic Expansions
Additional Bibliography
Index
Partial table of contents
The Algebra Of Linear Transformations And Quadratic Forms
Transformation to Principal Axes of Quadratic and Hermitian Forms
7.

図書
図書
7. 数学とは何か : 考え方と方法への初等的接近
R.クーラント, H.ロビンズ共著 ; 森口繁一監訳
出版情報: 東京 : 岩波書店, 1966.4  xxi, 543p ; 22cm
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