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020 a| 9783319164076 (pbk. : alk. paper);

020 a| 3319164074 (pbk. : alk. paper);

020 a| 9783319164083 (ebook);

020 a| 3319164082 (ebook);

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100 1 a| Ahmad, Shair.=| ^A1196861;

245 12 a| A textbook on ordinary differential equationsh| [electronic resource] /c| Shair Ahmad, Antonio Ambrosetti.;

250 a| Second edition.;

260 a| Cham ;a| New York :b| Springer,c| [2015];

300 a| xiv, 321 pages :b| illustrations ;c| 24 cm.;

490 1 a| Unitext - La matematica per il 3+2,x| 2038-5722 ;v| volume 88;

504 a| Includes bibliographical references and index.;

505 0 a| First order linear differential equations -- Theory of first order differential equations -- First order nonlinear differential equations -- Existence and uniqueness for systems and higher order equations -- Second order equations -- Higher order linear equations -- Systems of first order equations -- Qualitative analysis of 2x2 systems and nonlinear second order equations -- Sturm Liouville eigenvalue theory -- Solutions by infinite series and Bessel functions -- Laplace transform -- Stability theory -- Boundary value problems -- Appendix A. Numerical methods -- Answers to selected exercises.;

506 a| Available only to authorized users.;

520 a| This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected exercises can be found at the end of the book. The book contains many interesting examples on topics such as electric circuits, the pendulum equation, the logistic equation, the Lotka-Volterra system, the Laplace Transform, etc., which introduce students to a number of interesting aspects of the theory and applications. The work is mainly intended for students of Mathematics, Physics, Engineering, Computer Science and other areas of the natural and social sciences that use ordinary differential equations, and who have a firm grasp of Calculus and a minimal understanding of the basic concepts used in Linear Algebra. It also studies a few more advanced topics, such as Stability Theory and Boundary Value Problems, which may be suitable for more advanced undergraduate or first-year graduate students. The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. --c| Source other than Library of Congress.;

538 a| Mode of access: World Wide Web;

650 0 a| Differential equationsx| Numerical solutions.=| ^A23997;

650 0 a| Differential equationsv| Problems, exercises, etc.=| ^A991339;

650 0 a| Differential equations, Linear.=| ^A46737;

650 0 a| Differential equations, Linearx| Numerical solutions.=| ^A60380;

650 7 a| Differential equations.2| fast0| (OCoLC)fst00893446;

650 7 a| Differential equations, Linear.2| fast0| (OCoLC)fst00893468;

650 7 a| Differential equations, Linearx| Numerical solutions.2| fast0| (OCoLC)fst00893471;

650 7 a| Differential equationsx| Numerical solutions.2| fast0| (OCoLC)fst00893451;

655 0 a| Electronic books.=| ^A491897;

700 1 a| Ambrosetti, A.q| (Antonio)=| ^A234321;

830 0 a| Unitext ;v| 88.?| UNAUTHORIZED;

856 40 z| Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2015 English Internationalu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Flink.springer.com%2F10.1007%2F978-3-319-16408-3;

856 40 z| Full text available from Springer Booksu| https://go.openathens.net/redirector/ecu.edu?url=https%3A%2F%2Flink.springer.com%2F10.1007%2F978-3-319-16408-3;

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A textbook on ordinary differential equations / Shair Ahmad, Antonio Ambrosetti.

Author/creator	Ahmad, Shair
Other author	Ambrosetti, A. (Antonio)
Format	Electronic
Edition	Second edition.
Publication Info	Cham ; New York : Springer, [2015]
Description	xiv, 321 pages : illustrations ; 24 cm.
Supplemental Content	Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International
Supplemental Content	Full text available from Springer Books
Subjects	Differential equations--Numerical solutions. Differential equations--Problems, exercises, etc. Differential equations, Linear. Differential equations, Linear--Numerical solutions.

Series	Unitext - La matematica per il 3+2, 2038-5722 ; volume 88 Unitext ; 88. UNAUTHORIZED
Contents	First order linear differential equations -- Theory of first order differential equations -- First order nonlinear differential equations -- Existence and uniqueness for systems and higher order equations -- Second order equations -- Higher order linear equations -- Systems of first order equations -- Qualitative analysis of 2x2 systems and nonlinear second order equations -- Sturm Liouville eigenvalue theory -- Solutions by infinite series and Bessel functions -- Laplace transform -- Stability theory -- Boundary value problems -- Appendix A. Numerical methods -- Answers to selected exercises.
Abstract	This book offers readers a primer on the theory and applications of Ordinary Differential Equations. The style used is simple, yet thorough and rigorous. Each chapter ends with a broad set of exercises that range from the routine to the more challenging and thought-provoking. Solutions to selected exercises can be found at the end of the book. The book contains many interesting examples on topics such as electric circuits, the pendulum equation, the logistic equation, the Lotka-Volterra system, the Laplace Transform, etc., which introduce students to a number of interesting aspects of the theory and applications. The work is mainly intended for students of Mathematics, Physics, Engineering, Computer Science and other areas of the natural and social sciences that use ordinary differential equations, and who have a firm grasp of Calculus and a minimal understanding of the basic concepts used in Linear Algebra. It also studies a few more advanced topics, such as Stability Theory and Boundary Value Problems, which may be suitable for more advanced undergraduate or first-year graduate students. The second edition has been revised to correct minor errata, and features a number of carefully selected new exercises, together with more detailed explanations of some of the topics. -- Source other than Library of Congress.
Bibliography note	Includes bibliographical references and index.
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2015932461
ISBN	9783319164076 (pbk. : alk. paper)
ISBN	3319164074 (pbk. : alk. paper)
ISBN	9783319164083 (ebook)
ISBN	3319164082 (ebook)

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	Electronic Resources	Online Content Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International Full text available from Springer Nature - Springer Mathematics and Statistics eBooks 2015 English International	✔ Available

A textbook on ordinary differential equations / Shair Ahmad, Antonio Ambrosetti.

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