05564nam 22008775 450 991030015910332120200704192410.081-322-1835-310.1007/978-81-322-1835-7(CKB)3710000000106803(Springer)9788132218357(MH)014020920-4(SSID)ssj0001204899(PQKBManifestationID)11696675(PQKBTitleCode)TC0001204899(PQKBWorkID)11191614(PQKB)10626641(DE-He213)978-81-322-1835-7(MiAaPQ)EBC6312104(MiAaPQ)EBC1731508(Au-PeEL)EBL1731508(CaPaEBR)ebr10969006(OCoLC)878949741(PPN)17831787X(EXLCZ)99371000000010680320140422d2014 u| 0engurnn|008mamaatxtrdacontentcrdamediacrrdacarrierA First Course in Ordinary Differential Equations[electronic resource] Analytical and Numerical Methods /by Martin Hermann, Masoud Saravi1st ed. 2014.New Delhi :Springer India :Imprint: Springer,2014.1 online resource (XIV, 288 p. 10 illus.)online resourceIncludes index.81-322-1834-5 Chapter 1. Basic Concepts of Differential Equations -- Chapter 2. First-Order Differential Equations -- Chapter 3. Second-Order Differential Equations -- Chapter 4. Laplace Transforms -- Chapter 5. System of Linear Differential Equations -- Chapter 6. Power Series Solutions -- Chapter 7. Numerical Methods for Initial Value Problems -- Chapter 8. Shooting Methods for Linear Boundary -- Appendix A. Power Series -- Appendix B. Some elementary integration formulae -- Appendix C. Table of Laplace    transforms.             .This book presents a modern introduction to analytical and numerical techniques for solving ordinary differential equations (ODEs). Contrary to the traditional format—the theorem-and-proof format—the book is focusing on analytical and numerical methods. The book supplies a variety of problems and examples, ranging from the elementary to the advanced level, to introduce and study the mathematics of ODEs. The analytical part of the book deals with solution techniques for scalar first-order and second-order linear ODEs, and systems of linear ODEs—with a special focus on the Laplace transform, operator techniques and power series solutions. In the numerical part, theoretical and practical aspects of Runge-Kutta methods for solving initial-value problems and shooting methods for linear two-point boundary-value problems are considered. The book is intended as a primary text for courses on the theory of ODEs and numerical treatment of ODEs for advanced undergraduate and early graduate students. It is assumed that the reader has a basic grasp of elementary calculus, in particular methods of integration, and of numerical analysis. Physicists, chemists, biologists, computer scientists and engineers whose work involves solving ODEs will also find the book useful as a reference work and tool for independent study. The book has been prepared within the framework of a German–Iranian research project on mathematical methods for ODEs, which was started in early 2012.Differential equationsNumerical analysisApplied mathematicsEngineering mathematicsMathematical physicsMechanicsMechanics, AppliedOrdinary Differential Equationshttps://scigraph.springernature.com/ontologies/product-market-codes/M12147Numerical Analysishttps://scigraph.springernature.com/ontologies/product-market-codes/M14050Applications of Mathematicshttps://scigraph.springernature.com/ontologies/product-market-codes/M13003Mathematical Applications in the Physical Scienceshttps://scigraph.springernature.com/ontologies/product-market-codes/M13120Solid Mechanicshttps://scigraph.springernature.com/ontologies/product-market-codes/T15010Mathematical Physicshttps://scigraph.springernature.com/ontologies/product-market-codes/M35000Differential equations.Numerical analysis.Applied mathematics.Engineering mathematics.Mathematical physics.Mechanics.Mechanics, Applied.Ordinary Differential Equations.Numerical Analysis.Applications of Mathematics.Mathematical Applications in the Physical Sciences.Solid Mechanics.Mathematical Physics.515.352Hermann Martinauthttp://id.loc.gov/vocabulary/relators/aut721182Saravi Masoudauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK9910300159103321A First Course in Ordinary Differential Equations2509321UNINAThis Record contains information from the Harvard Library Bibliographic Dataset, which is provided by the Harvard Library under its Bibliographic Dataset Use Terms and includes data made available by, among others the Library of Congress