Coddington, Earl A.; Carlson, Robert Linear Ordinary Differential Equations

# Linear Ordinary Differential Equations

## Coddington, Earl A.; Carlson, Robert

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Linear Ordinary Differential Equations, a text for advanced undergraduate or beginning graduate students, presents a thorough development of the main topics in linear differential equations. A rich collection of applications, examples, and exercises illustrates each topic. The authors reinforce students' understanding of calculus, linear algebra, and analysis while introducing the many applications of differential equations in science and engineering. Three recurrent themes run through the book. The methods of linear algebra are applied directly to the analysis of systems with constant or periodic coefficients and serve as a guide in the study of eigenvalues and eigenfunction expansions. The use of power series, beginning with the matrix exponential function leads to the special functions solving classical equations. Techniques from real analysis illuminate the development of series solutions, existence theorems for initial value problems, the asymptotic behavior solutions, and the convergence of eigenfunction expansions.

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Book Description:

Presents a thorough development of the main topics in linear differential equations. A rich collection of applications, examples, and exercises illustrates each topic. The authors reinforce students' understanding of calculus, linear algebra, and analysis while introducing the many applications of differential equations in science and engineering.

Contenuti:

Preface. 1. Simple Applications. Introduction; Compartment systems; Springs and masses; Electric circuits; Notes; Exercises; 2. Properties of Linear Systems. Introduction; Basic linear algebra; First-order systems; Higher-order equations; Notes; Exercises; 3. Constant Coefficients. Introduction; Properties of the exponential of a matrix; Nonhomogeneous systems; Structure of the solution space; The Jordan canonical form of a matrix; The behavior of solutions for large t; Higher-order equations; Exercises; 4. Periodic Coefficients. Introduction; Floquet's theorem; The logarithm of an invertible matrix; Multipliers; The behavior of solutions for large t; First-order nonhomogeneous systems; Second-order homogeneous equations; Second-order nonhomogeneous equations; Notes; Exercises; 5. Analytic Coefficients. Introduction; Convergence; Analytic functions; First-order linear analytic systems; Equations of order n; The Legendre equation and its solutions; Notes; Exercises; 6. Singular Points. Introduction; Systems of equations with singular points; Single equations with singular points; Infinity as a singular point; Notes; Exercises; 7. Existence and Uniqueness. Introduction; Convergence of successive approximations; Continuity of solutions; More general linear equations; Estimates for second-order equations; Notes; Exercises; 8. Eigenvalue Problems. Introduction; Inner products; Boundary conditions and operators; Eigenvalues; Nonhomogeneous boundary value problems; Notes; Exercises; 9. Eigenfunction Expansions. Introduction; Selfadjoint integral operators; Eigenvalues for Green's operator; Convergence of eigenfunction expansions; Extensions of the expansion results; Notes; Exercises; 10. Control of Linear Systems. Introduction; Convex sets; Control of general linear systems; Constant coefficient equations; Time-optimal control; Notes; Exercises; Bibliography.

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## 1.Linear Ordinary Differential Equations

ISBN 10: 0898713889 ISBN 13: 9780898713886
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## 2.LINEAR ORDINARY DIFFERENTIAL EQUATIONS

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Descrizione libro PHI. PaperBack. Condizione libro: Brand New. International Edition. International Edition, Cover & ISBN may be different from US edition, PAPERBACK. Book Condition: New. Brand New,Softcover,No Access code & No context dvd, But Contents are same as US Edition. Printed in English Language, Prompt shipping by USPS/,UPS/,DHL/,FedEx. Exceptional customer Service, Satisfaction Guaranteed. We may ship the books from Asian regions for inventory purpose. "Special Note" We do provide service on APO BOX & PO BOX addresses only in usa. Codice libro della libreria Aaddi18387

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## 3.Linear Ordinary Differential Equations

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Descrizione libro Condizione libro: New. New. Soft Cover International edition. Different ISBN and Cover image but contents are same as US edition.Perfect condition. Ship by express service to USA, Canada, Australia, France, Italy, UK, Germany and Netherland. Customer satisfaction our priority. Codice libro della libreria ABE-190516-112194

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## 5.Linear Ordinary Differential Equations

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## 6.Linear Ordinary Differential Equations

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Descrizione libro 1987. Soft cover. Condizione libro: New. This book is BRAND NEW Soft cover International edition with black and white printing. ISBN number & cover page may be different but contents identical to the US edition word by word. Book is in English language. Codice libro della libreria UN-PH-IN-681

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## 7.Linear Ordinary Differential Equations

Editore: Philadelphia, Pennsylvania, U.S.A.: Society for Industrial & Applied (1997)
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Descrizione libro Philadelphia, Pennsylvania, U.S.A.: Society for Industrial & Applied, 1997. Soft cover. Condizione libro: New. No Jacket. This book is BRAND NEW Soft cover International edition with black and white printing. ISBN number and cover page may be different but contents identical to the US edition word by word. Book is in English language. Codice libro della libreria ABE-9544945582

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## 8.Linear Ordinary Differential Equations (Paperback)

Editore: Society for Industrial Applied Mathematics,U.S., United States (1997)
ISBN 10: 0898713889 ISBN 13: 9780898713886
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Descrizione libro Society for Industrial Applied Mathematics,U.S., United States, 1997. Paperback. Condizione libro: New. 251 x 178 mm. Language: English . Brand New Book. Linear Ordinary Differential Equations, a text for advanced undergraduate or beginning graduate students, presents a thorough development of the main topics in linear differential equations. A rich collection of applications, examples, and exercises illustrates each topic. The authors reinforce students understanding of calculus, linear algebra, and analysis while introducing the many applications of differential equations in science and engineering. Three recurrent themes run through the book. The methods of linear algebra are applied directly to the analysis of systems with constant or periodic coefficients and serve as a guide in the study of eigenvalues and eigenfunction expansions. The use of power series, beginning with the matrix exponential function leads to the special functions solving classical equations. Techniques from real analysis illuminate the development of series solutions, existence theorems for initial value problems, the asymptotic behavior solutions, and the convergence of eigenfunction expansions. Codice libro della libreria AAA9780898713886

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## 9.Linear Ordinary Differential Equations (Paperback)

Editore: Society for Industrial Applied Mathematics,U.S., United States (1997)
ISBN 10: 0898713889 ISBN 13: 9780898713886
Nuovi Paperback Quantità: 1
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Descrizione libro Society for Industrial Applied Mathematics,U.S., United States, 1997. Paperback. Condizione libro: New. 251 x 178 mm. Language: English . Brand New Book. Linear Ordinary Differential Equations, a text for advanced undergraduate or beginning graduate students, presents a thorough development of the main topics in linear differential equations. A rich collection of applications, examples, and exercises illustrates each topic. The authors reinforce students understanding of calculus, linear algebra, and analysis while introducing the many applications of differential equations in science and engineering. Three recurrent themes run through the book. The methods of linear algebra are applied directly to the analysis of systems with constant or periodic coefficients and serve as a guide in the study of eigenvalues and eigenfunction expansions. The use of power series, beginning with the matrix exponential function leads to the special functions solving classical equations. Techniques from real analysis illuminate the development of series solutions, existence theorems for initial value problems, the asymptotic behavior solutions, and the convergence of eigenfunction expansions. Codice libro della libreria AAA9780898713886

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## 10.Linear Ordinary Differential Equations

Editore: Society for Industrial and Applied Mathematics (1987)
ISBN 10: 0898713889 ISBN 13: 9780898713886
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Descrizione libro Society for Industrial and Applied Mathematics, 1987. PAP. Condizione libro: New. New Book. Shipped from UK in 4 to 14 days. Established seller since 2000. Codice libro della libreria FM-9780898713886

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