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1.

図書

図書
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
2.

図書

図書
by Carl B. Boyer ; with a foreword by Richard Courant
出版情報: New York : Dover, 1959  346 p. ; 21 cm
シリーズ名: Dover books on advanced mathematics ; S509
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3.

図書

図書
R. Courant and K.O. Friedrichs
出版情報: New York ; London : Interscience Publishers, 1948  xvi, 464 p. ; 24 cm
シリーズ名: Pure and applied mathematics ; v. 1
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4.

図書

図書
von Adolf Hurwitz ; herausgegeben und erhänzt durch einen Abschnitt über Geometrische Funktionentheorie von R. Courant
出版情報: Berlin : Verlag von Julius Springer, 1929  xii, 534 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 3
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5.

図書

図書
von Adolf Hurwitz ; herausgegeben und ergänzt durch einen Abschnitt über geometrische Funktionentheorie von R. Courant
出版情報: Berlin : Springer, 1925  xii, 496 p. ; 24 cm
シリーズ名: Die Grundlehren der mathematischen Wissenschaften ; Bd. 3
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目次情報:
Allgemeine Theorie der Funktionen einer komplexen Veränderlichen / von Adolf Hurwitz
Elliptische Funktionen / von Adolf Hurwitz
Gometrische Funktionentheorie / von R. Courant
Allgemeine Theorie der Funktionen einer komplexen Veränderlichen / von Adolf Hurwitz
Elliptische Funktionen / von Adolf Hurwitz
Gometrische Funktionentheorie / von R. Courant
6.

図書

図書
by R. Courant ; translated by E. J. McShane
出版情報: London ; Glasgow : Blackie, 1936 , New York : Interscience Pub. Inc.  2v. ; 23 cm
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7.

図書

図書
Richard Courant and Fritz John, with the assistance of Albert A. Blank, Alan Solomon
出版情報: New York : Wiley-Interscience, c1974  xxiii,954 p. ill. ; 23 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
8.

図書

図書
von R. Courant
出版情報: Berlin : Springer, 1929  vii, 360 p. ; 23 cm
シリーズ名: Vorlesungen über Differential- und Integralrechnung / von R. Courant ; Bd. 2
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9.

図書

図書
Richard Courant, Fritz John
出版情報: Berlin ; New York ; Tokyo : Springer-Verlag, c1999-c2000  3 v. ; 24-25 cm
シリーズ名: Classics in mathematics
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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
Functions of Several Variables and Their Derivatives: Points and Points Sets in the Plane and in Space
Functions of Several Independent Variables
Continuity
The Partial Derivatives of a Function
The Differential of a Function and Its Geometrical Meaning
Functions of Functions (Compound Functions) and the Introduction of New Independent Variables
The mean Value Theorem and Taylor's Theorem for Functions of Several Variables
Integrals of a Function Depending on a Parameter
Differentials and Line Integrals
The Fundamental Theorem on Integrability of Linear Differential Forms
Appendix.- Vectors, Matrices, Linear Transformations: Operatios with Vectors
Matrices and Linear Transformations
Determinants
Geometrical Interpretation of Determinants
Vector Notions in Analysis.- Developments and Applications of the Differential Calculus: Implicit Functions
Curves and Surfaces in Implicit Form
Systems of Functions, Transformations, and Mappings
Applications
Families of Curves, Families of Surfaces, and Their Envelopes
Alternating Differential Forms
Maxima and Minima
Appendix.- Multiple Integrals: Areas in the Plane
Double Integrals
Integrals over Regions in three and more Dimensions
Space Differentiation. Mass and Density
Reduction of the Multiple Integral to Repeated Single Integrals
Transformation of Multiple Integrals
Improper Multiple Integrals
Geometrical Applications
Physical Applications
Multiple Integrals in Curvilinear Coordinates
Volumes and Surface Areas in Any Number of Dimensions
Improper Single Integrals as Functions of a Parameter
The Fourier Integral
The Eulerian Integrals (Gamma Function)
Appendix
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
10.

図書

図書
by R. Courant and D. Hilbert
出版情報: New York : Wiley, c1953-c1962  v. ; 24 cm
所蔵情報: loading…
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
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