{"product_id":"ordinary-differential-equations-and-stability-theory-an-introduction-dover-books-on-mathematics","title":"Ordinary Differential Equations and Stability Theory: An Introduction (Dover Books on Mathematics)","description":"\u003ch3 data-start=\"65\" data-end=\"86\"\u003e\u003cstrong data-start=\"69\" data-end=\"86\"\u003eBook Details:\u003c\/strong\u003e\u003c\/h3\u003e\n\u003cul data-start=\"88\" data-end=\"299\"\u003e\n\u003cli data-start=\"88\" data-end=\"112\"\u003e\n\u003cp data-start=\"90\" data-end=\"112\"\u003e\u003cstrong data-start=\"90\" data-end=\"104\"\u003ePublisher:\u003c\/strong\u003e Dover\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"113\" data-end=\"145\"\u003e\n\u003cp data-start=\"115\" data-end=\"145\"\u003e\u003cstrong data-start=\"115\" data-end=\"126\"\u003eAuthor:\u003c\/strong\u003e David A. Sanchez\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"146\" data-end=\"171\"\u003e\n\u003cp data-start=\"148\" data-end=\"171\"\u003e\u003cstrong data-start=\"148\" data-end=\"161\"\u003eLanguage:\u003c\/strong\u003e English\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"172\" data-end=\"198\"\u003e\n\u003cp data-start=\"174\" data-end=\"198\"\u003e\u003cstrong data-start=\"174\" data-end=\"186\"\u003eBinding:\u003c\/strong\u003e Paperback\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"199\" data-end=\"226\"\u003e\n\u003cp data-start=\"201\" data-end=\"226\"\u003e\u003cstrong data-start=\"201\" data-end=\"210\"\u003eISBN:\u003c\/strong\u003e 9780486638287\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"227\" data-end=\"245\"\u003e\n\u003cp data-start=\"229\" data-end=\"245\"\u003e\u003cstrong data-start=\"229\" data-end=\"239\"\u003ePages:\u003c\/strong\u003e 192\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"246\" data-end=\"266\"\u003e\n\u003cp data-start=\"248\" data-end=\"266\"\u003e\u003cstrong data-start=\"248\" data-end=\"260\"\u003eEdition:\u003c\/strong\u003e New\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"267\" data-end=\"299\"\u003e\n\u003cp data-start=\"269\" data-end=\"299\"\u003e\u003cstrong data-start=\"269\" data-end=\"286\"\u003eRelease Date:\u003c\/strong\u003e 29-02-2012\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003chr data-start=\"301\" data-end=\"304\"\u003e\n\u003ch3 data-start=\"306\" data-end=\"329\"\u003e\u003cstrong data-start=\"310\" data-end=\"329\"\u003eAbout The Book:\u003c\/strong\u003e\u003c\/h3\u003e\n\u003cp data-start=\"331\" data-end=\"716\"\u003e\u003cstrong data-start=\"331\" data-end=\"391\"\u003e\"Ordinary Differential Equations: A Modern Introduction\"\u003c\/strong\u003e by \u003cstrong data-start=\"395\" data-end=\"415\"\u003eDavid A. Sanchez\u003c\/strong\u003e offers a concise and accessible introduction to the subject of \u003cstrong data-start=\"479\" data-end=\"514\"\u003eordinary differential equations\u003c\/strong\u003e (ODEs), with a focus on \u003cstrong data-start=\"539\" data-end=\"559\"\u003estability theory\u003c\/strong\u003e. This book is ideal as a supplementary text for advanced undergraduate or beginning graduate students who have already taken an introductory course in ODEs.\u003c\/p\u003e\n\u003cp data-start=\"718\" data-end=\"1032\"\u003eThe book begins with a general discussion of \u003cstrong data-start=\"763\" data-end=\"783\"\u003elinear equations\u003c\/strong\u003e, introducing the concept of a \u003cstrong data-start=\"814\" data-end=\"849\"\u003efundamental system of solutions\u003c\/strong\u003e and the \u003cstrong data-start=\"858\" data-end=\"871\"\u003eWronskian\u003c\/strong\u003e. It moves on to the \u003cstrong data-start=\"892\" data-end=\"926\"\u003enonhomogeneous linear equation\u003c\/strong\u003e and provides the crucial \u003cstrong data-start=\"952\" data-end=\"987\"\u003evariation of parameters formula\u003c\/strong\u003e for solving \u003cstrong data-start=\"1000\" data-end=\"1030\"\u003enth-order linear equations\u003c\/strong\u003e.\u003c\/p\u003e\n\u003cp data-start=\"1034\" data-end=\"1425\"\u003eIn-depth attention is given to the \u003cstrong data-start=\"1069\" data-end=\"1115\"\u003elinear equation with constant coefficients\u003c\/strong\u003e in a dedicated chapter. The next sections focus on \u003cstrong data-start=\"1167\" data-end=\"1187\"\u003estability theory\u003c\/strong\u003e for both \u003cstrong data-start=\"1197\" data-end=\"1211\"\u003eautonomous\u003c\/strong\u003e and \u003cstrong data-start=\"1216\" data-end=\"1241\"\u003enonautonomous systems\u003c\/strong\u003e, featuring key results for \u003cstrong data-start=\"1269\" data-end=\"1290\"\u003enonlinear systems\u003c\/strong\u003e and introducing \u003cstrong data-start=\"1307\" data-end=\"1335\"\u003eLiapunov’s direct method\u003c\/strong\u003e. The book concludes with an exploration of the \u003cstrong data-start=\"1383\" data-end=\"1411\"\u003eexistence and uniqueness\u003c\/strong\u003e of solutions.\u003c\/p\u003e\n\u003cp data-start=\"1427\" data-end=\"1461\"\u003eKey features of this book include:\u003c\/p\u003e\n\u003cul data-start=\"1462\" data-end=\"1880\"\u003e\n\u003cli data-start=\"1462\" data-end=\"1547\"\u003e\n\u003cp data-start=\"1464\" data-end=\"1547\"\u003eClear explanations of \u003cstrong data-start=\"1486\" data-end=\"1506\"\u003elinear equations\u003c\/strong\u003e and \u003cstrong data-start=\"1511\" data-end=\"1546\"\u003enonhomogeneous linear equations\u003c\/strong\u003e.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1548\" data-end=\"1629\"\u003e\n\u003cp data-start=\"1550\" data-end=\"1629\"\u003eAn introduction to \u003cstrong data-start=\"1569\" data-end=\"1589\"\u003estability theory\u003c\/strong\u003e with results for \u003cstrong data-start=\"1607\" data-end=\"1628\"\u003enonlinear systems\u003c\/strong\u003e.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1630\" data-end=\"1694\"\u003e\n\u003cp data-start=\"1632\" data-end=\"1694\"\u003eCoverage of \u003cstrong data-start=\"1644\" data-end=\"1672\"\u003eLiapunov’s direct method\u003c\/strong\u003e and its applications.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1695\" data-end=\"1819\"\u003e\n\u003cp data-start=\"1697\" data-end=\"1819\"\u003eTwo appendices on \u003cstrong data-start=\"1715\" data-end=\"1768\"\u003eseries solutions of second-order linear equations\u003c\/strong\u003e and \u003cstrong data-start=\"1773\" data-end=\"1818\"\u003elinear systems with periodic coefficients\u003c\/strong\u003e.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"1820\" data-end=\"1880\"\u003e\n\u003cp data-start=\"1822\" data-end=\"1880\"\u003eProblems at the end of each chapter to reinforce learning.\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp data-start=\"1882\" data-end=\"2131\"\u003eThis book is a perfect resource for students aiming to strengthen their understanding of \u003cstrong data-start=\"1971\" data-end=\"1997\"\u003edifferential equations\u003c\/strong\u003e and \u003cstrong data-start=\"2002\" data-end=\"2022\"\u003estability theory\u003c\/strong\u003e, providing foundational knowledge and preparing readers for advanced studies in mathematics and engineering.\u003c\/p\u003e","brand":"Dover","offers":[{"title":"Default Title","offer_id":49939494273328,"sku":"Sarat_9780486837598","price":1066.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0690\/9968\/4144\/files\/dover-book-default-title-ordinary-differential-equations-and-stability-theory-an-introduction-dover-books-on-mathematics-41286274777392.jpg?v=1775948383","url":"https:\/\/www.retailmaharaj.com\/products\/ordinary-differential-equations-and-stability-theory-an-introduction-dover-books-on-mathematics","provider":"Retail Maharaj","version":"1.0","type":"link"}