{"product_id":"ordinary-differential-equations-jane-cronin-9780824723378","title":"Ordinary Differential Equations: Introduction and Qualitative Theory, Third Edition","description":"\u003cp\u003eDesigned for a rigorous first course in ordinary differential equations, \u003cb\u003eOrdinary Differential Equations: Introduction and Qualitative Theory, Third Edition\u003c\/b\u003e 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.\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Jane Cronin\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0824723376\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780824723378\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 12\/14\/2007\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 408\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.58lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.57h x 6.50w x 1.04d\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eScitech Book News\u003c\/i\u003e 06\/01\/2008 pg. 35","brand":"Jane Cronin","offers":[{"title":"Hardcover","offer_id":48136175714559,"sku":"9780824723378","price":170.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_5c533bd0-1166-4a9a-accb-604734388ed3.jpg?v=1770161017","url":"https:\/\/www.whiterainbookhouse.com\/products\/ordinary-differential-equations-jane-cronin-9780824723378","provider":"WR Book House","version":"1.0","type":"link"}