{"product_id":"asymptotics-and-borel-summability-ovidiu-costin-9781420070316","title":"Asymptotics and Borel Summability","description":"\u003cp\u003eIncorporating substantial developments from the last thirty years into one resource, \u003cstrong\u003eAsymptotics and Borel Summability\u003c\/strong\u003e provides a self-contained introduction to asymptotic analysis with special emphasis on topics not covered in traditional asymptotics books. The author explains basic ideas, concepts, and methods of generalized Borel summability, transseries, and exponential asymptotics. He provides complete mathematical rigor while supplementing it with heuristic material and examples, so that some proofs may be omitted by applications-oriented readers.\u003c\/p\u003e\u003cp\u003eTo give a sense of how new methods are used in a systematic way, the book analyzes in detail general nonlinear ordinary differential equations (ODEs) near a generic irregular singular point. It enables readers to master basic techniques, supplying a firm foundation for further study at more advanced levels. The book also examines difference equations, partial differential equations (PDEs), and other types of problems.\u003c\/p\u003e\u003cp\u003eChronicling the progress made in recent decades, this book shows how Borel summability can recover exact solutions from formal expansions, analyze singular behavior, and vastly improve accuracy in asymptotic approximations.\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Ovidiu Costin\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 1420070312\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9781420070316\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e CRC Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 06\/01\/2008\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 256\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.30lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.30h x 6.20w x 0.90d\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eScitech Book News\u003c\/i\u003e 06\/01\/2009 pg. 33","brand":"Ovidiu Costin","offers":[{"title":"Hardcover","offer_id":48088201625855,"sku":"9781420070316","price":210.0,"currency_code":"USD","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_7d63b9b6-ad48-492e-8d5b-a444b49ddcb2.jpg?v=1769103621","url":"https:\/\/www.whiterainbookhouse.com\/products\/asymptotics-and-borel-summability-ovidiu-costin-9781420070316","provider":"WR Book House","version":"1.0","type":"link"}