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1.

図書

図書
C.H. Edwards, Jr
出版情報: New York ; Heidelberg ; Berlin ; Tokyo : Springer-Verlag, c1979  xii, 351 p. ; 25 cm
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目次情報: 続きを見る
Area Number and Limit Concepts in Antiquity / 1:
Archimedes / 2:
Twilight, Darkness and Dawn / 3:
Early Indivisibles and Infinitesimal Techniques / 4:
Early Tangent Constructions / 5:
Napier's Wonderful Logarithms / 6:
The Arithmetic of the Infinite / 7:
The Calculus According to Newton / 8:
The Calculus According to Leibniz / 9:
The Age of Euler / 10:
The Calculus According to Cauchy, Riemann and Weierstrass / 11:
Postscript: The Twentieth Century / 12:
Index
Area Number and Limit Concepts in Antiquity / 1:
Archimedes / 2:
Twilight, Darkness and Dawn / 3:
2.

図書

図書
[by] C. H. Edwards, Jr
出版情報: New York : Academic Press, [1973]  x, 457 p ; 25 cm
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3.

図書

図書
C. Henry Edwards, David E. Penney
出版情報: Upper Saddle River, N.J. : Prentice Hall International, c2001  xiii, 684, 48, 6 p. ; 24 cm.
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First-Order Differential Equations / 1:
Differential Equations and Mathematical Model
Integrals as General and Particular Solutions
Direction Fields and Solution Curves
Separable Equations and Applications
Linear First-Order Equations
Substitution Methods and Exact Equations
Mathematical Models and Numerical Methods / 2:
Population Models
Equilibrium Solutions and Stability
Acceleration-Velocity Models
Numerical Approximation: Euler's Method
A Closer Look at the Euler Method
The Runge-Kutta Method
Linear Systems and Matrices / 3:
Introduction to Linear Systems
Matrices and Gaussian Elimination
Reduced Row-Echelon Matrices
Matrix Operations
Inverses of Matrices
Determinants
Linear Equations and Curve Fitting
Vector Spaces / 4:
The Vector Space R
The Vector Space Rn and Subspaces
Linear Combinations and Independence of Vectors
Bases and Dimension for Vector Spaces
General Vector Spaces
Linear Equations of Higher Order / 5:
Introduction: Second-Order Linear Equations
General Solutions of Linear Equations
Homogeneous Equations with Constant Coefficients
Mechanical Vibrations
Undetermined Coefficients and Variation of Parameters
Forced Oscillations and Resonance
Eigenvalues and Eigenvectors / 6:
Introduction to Eigenvalues
Diagonalization of Matrices
Applications Involving Powers of Matrices
Linear Systems of Differential Equations / 7:
First-Order Systems and Applications
Matrices and Linear Systems
The Eigenvalue Method for Linear Systems
Second-Order Systems and Mechanical Applications
Multiple Eigenvalue Solutions
Numerical Methods for Systems
Matrix Exponential Methods / 8:
Matrix Exponentials and Linear Systems
Nonhomogeneous Linear Systems
Spectral Decomposition Methods
Nonlinear Systems and Phenomena / 9:
Stability and the Phase Plane
Linear and Almost Linear Systems
Ecological Models: Predators and Competitors
Nonlinear Mechanical Systems
Laplace Transform Methods / 10:
Laplace Transforms and Inverse Transforms
Transformation of Initial Value Problems
Translation and Partial Fractions
Derivatives, Integrals, and Products of Transforms
Periodic and Piecewise Continuous Forcing Functions
Power Series Methods / 11:
Introduction and Review of Power Series
Power Series Solutions
Frobenius Series Solutions
Bessel's Equation
References for Further Study
The Existence and Uniqueness of Solutions / Appendix A:
Theory of Determinants / Appendix B:
Answers to Selected Problems
Index
First-Order Differential Equations / 1:
Differential Equations and Mathematical Model
Integrals as General and Particular Solutions
4.

図書

図書
edited by J.C. Cantrell and C.H. Edwards, Jr.
出版情報: Chicago : Markham, c1970  xiv, 514 p ; 24 cm
シリーズ名: Markham mathematics series
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