{"product_id":"9783031865343","title":"Fundamentals of Ordinary Differential Equations","description":"\u003ch1\u003eFundamentals of Ordinary Differential Equations\u003c\/h1\u003e\u003ch3\u003eUri Elias\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Differential Equations \/ General\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp\u003eThis textbook offers an introduction to ODEs that focuses on the qualitative behavior of differential equations rather than specialized methods for solving them. The book is organized around this approach with important topics, such as existence, uniqueness, qualitative behaviour, and stability, appearing in early chapters and explicit solution methods covered later. Proofs are included in an approachable manner, which are first motivated by describing the main ideas in a general sense before being written out in detail. A clear and accessible writing style is used, containing numerous examples and calculations throughout the text. Two appendices offer readers further material to explore, with the first using the orbits of the planets as an illustrative example and the second providing insightful historical notes. After reading this book, students will have a strong foundation for a course in PDEs or mathematical modeling.\u003c\/p\u003e\r\n\u003cp\u003e\u003cem\u003eFundamentals of Ordinary Differential Equations\u003c\/em\u003e is suitable for an undergraduate course for students who have taken basic calculus and linear algebra courses, and who are able to read and write basic proofs. Because of its detailed approach, it is also conducive to self-study.\u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e\n\u003cp class=\"MsoNormal\"\u003e\u003cspan style=\"mso-bidi-font-family: Calibri; mso-bidi-theme-font: minor-latin; color: black; mso-themecolor: text1;\"\u003eUri Elias is a Professor Emeritus at the Technion - Israel Institute of Technology in Haifa. His research interest is Ordinary Differential Equations. Much of his research has centered on the study of oscillation and qualitative theory of  O.D.E., some of which is published in the book \u003cstrong\u003e\u003cspan style=\"font-family: 'Calibri',sans-serif; mso-ascii-theme-font: minor-latin; mso-hansi-theme-font: minor-latin; mso-bidi-theme-font: minor-latin; border: none windowtext 1.0pt; mso-border-alt: none windowtext 0in; padding: 0in;\"\u003e \u003c\/span\u003e\u003c\/strong\u003e\u003cspan style=\"border: none windowtext 1.0pt; mso-border-alt: none windowtext 0in; padding: 0in;\"\u003e\"Oscillation Theory of Two-Term Differential Equations\", Springer, Mathematics and Its Applications, Vol. 396. \u003c\/span\u003eUri Elias\u003cspan style=\"background: white;\"\u003e's aim in teaching is to introduce O.D.E.s and their behavior while keeping everything as clear and precise as possible.\u003c\/span\u003e\u003c\/span\u003e\u003c\/p\u003e\r\n\u003cp\u003e\u003cspan style=\"font-size: 12.0pt; font-family: Aptos; mso-fareast-font-family: Calibri; mso-fareast-theme-font: minor-latin; mso-bidi-font-family: 'Times New Roman'; mso-ansi-language: EN-US; mso-fareast-language: EN-US; mso-bidi-language: AR-SA;\"\u003e\u003cbr style=\"mso-special-character: line-break;\"\u003e\u003c!-- [if !supportLineBreakNewLine]--\u003e\u003cbr style=\"mso-special-character: line-break;\"\u003e\u003c!--[endif]--\u003e\u003c\/span\u003e\u003c\/p\u003e\n\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e21 May 2026\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer Nature Switzerland\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eBirkhäuser\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9783031865343\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003ePaperback \/ softback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e315\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Springer Nature Switzerland","offers":[{"title":"Default Title","offer_id":51033324781708,"sku":"9783031865343","price":49.49,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9783031865343.jpg?v=1782488845","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9783031865343","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}