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Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition - Jane Cronin, Cronin-Scanlon Cronin-Scanlon
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Designed for a rigorous first course in ordinary differential equations, Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition includes basic material such as the existence and properties of solutions, linear equations, autonomous equations, and stability as well as more advanced topics in periodic solutions of nonlinear equations. Requiring only a background in advanced calculus and linear algebra, the text is appropriate for advanced undergraduate Designed for a rigorous first course in ordinary differential equations, Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition includes basic material such as the existence and properties of solutions, linear equations, autonomous equations, and stability as well as more advanced topics in periodic solutions of nonlinear equations. Requiring only a background in advanced calculus and linear algebra, the text is appropriate for advanced undergraduate and graduate students in mathematics, engineering, physics, chemistry, or biology. This third edition of a highly acclaimed textbook provides a detailed account of the Bendixson theory of solutions of two-dimensional nonlinear autonomous equations, which is a classical subject that has become more prominent in recent biological applications. By using the Poincaré method, it gives a unified treatment of the periodic solutions of perturbed equations. This includes the existence and stability of periodic solutions of perturbed nonautonomous and autonomous equations (bifurcation theory). The text shows how topological degree can be applied to extend the results. It also explains that using the averaging method to seek such periodic solutions is a special case of the use of the Poincaré method. Textbooks New, Books~~Mathematics~~Differential Equations~~General, Ordinary-Differential-Equations~~Jane-Cronin, 999999999, Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition, Jane Cronin, Cronin-Scanlon Cronin-Scanlon, 0824723376, Taylor & Francis, , , , , Taylor & Francis

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[SR: 3217529], Hardcover, [EAN: 9780824723378], CRC Press, CRC Press, Book, [PU: CRC Press], CRC Press, 278340, Differential Equations, 278337, Calculus & Mathematical Analysis, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 278353, Geometry & Topology, 278354, Algebraic Geometry, 278355, Analytic Geometry, 278356, Differential & Riemannian Geometry, 278358, Euclidean Geometry, 278359, Finite Geometry, 278361, Non-Euclidean Geometry, 278388, Algebraic Topology, 278389, Analytic Topology, 278357, Elementary Geometry & Trigonometry, 278320, Mathematics, 57, Science & Nature, 1025612, Subjects, 266239, Books, 922942, Maths, 922518, Chaos, 409678, Coding & Cryptology, 922944, Recreational, 922868, Popular Science, 57, Science & Nature, 1025612, Subjects, 266239, Books, 564334, Scientific, Technical & Medical, 564336, Agriculture & Farming, 564338, Astronomy & Cosmology, 564340, Biology, 564342, Chemistry, 564344, Earth Sciences, 564346, Engineering, 570820, Environment, 564350, Geology, 564352, Mathematics, 564356, Medicine & Nursing, 564354, Physics, 564348, Research & Development, 564358, Veterinary Science, 1025612, Subjects, 266239, Books

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Ordinary Differential Equations - Cronin, Jane
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ISBN: 9780824723378

ID: 1633648

a classic treatment of many of the topics an instructor would want in such a course, with particular emphasis on those aspects of the qualitative theory that are important for applications to mathematical biology. A nice feature of this edition is an extended and unified treatment of the perturbation problem for periodic solutions. a solid graduate-level introduction to ordinary differential equations, especially for applications. MAA Reviews , August 2010 Mathematics Mathematics eBook, CRC Press

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Ordinary Differential Equations Introduction and Qualitative Theory 3rd Edition - Jane Cronin
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Ordinary Differential Equations Introduction and Qualitative Theory 3rd Edition Author :Jane Cronin 9780824723378 0824723376, [PU: Marcel Dekker]

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Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition (Chapman & Hall/CRC Pure and Applied Mathematics)
Autor:

Cronin-Scanlon, Jane; Cronin-Scanlon, Cronin-Scanlon

Titel:

Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition (Chapman & Hall/CRC Pure and Applied Mathematics)

ISBN-Nummer:

9780824723378

Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition provides a detailed account, based on the work of Lefschetz, of the Bendixson theory of solutions of two-dimensional autonomous systems in a neighborhood of a singular point. Updated and revised, this third edition presents a unified treatment of the perturbation problem for periodic solutions, covering nonautonomous equations and bifurcation problems. The text includes a self-contained account of topological degree and its use as well as a detailed description of how the averaging method can be used to examine the problem of periodic solutions. It also contains additional exercises, applications, and solutions.

Detailangaben zum Buch - Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition (Chapman & Hall/CRC Pure and Applied Mathematics)


EAN (ISBN-13): 9780824723378
ISBN (ISBN-10): 0824723376
Gebundene Ausgabe
Erscheinungsjahr: 2007
Herausgeber: CRC PR INC
408 Seiten
Gewicht: 0,717 kg
Sprache: eng/Englisch

Buch in der Datenbank seit 18.06.2007 06:04:41
Buch zuletzt gefunden am 03.12.2016 19:44:31
ISBN/EAN: 9780824723378

ISBN - alternative Schreibweisen:
0-8247-2337-6, 978-0-8247-2337-8

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