LEADER 04784nam 22006975 450 001 9910299786603321 005 20230620122513.0 010 $a3-319-17852-0 024 7 $a10.1007/978-3-319-17852-3 035 $a(CKB)3710000000454115 035 $a(SSID)ssj0001558518 035 $a(PQKBManifestationID)16183467 035 $a(PQKBTitleCode)TC0001558518 035 $a(PQKBWorkID)14818792 035 $a(PQKB)11078256 035 $a(DE-He213)978-3-319-17852-3 035 $a(MiAaPQ)EBC6315285 035 $a(MiAaPQ)EBC5588196 035 $a(Au-PeEL)EBL5588196 035 $a(OCoLC)913231959 035 $a(PPN)187689555 035 $a(EXLCZ)993710000000454115 100 $a20150701d2015 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 12$aA First Course in Differential Equations /$fby J. David Logan 205 $a3rd ed. 2015. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2015. 215 $a1 online resource (XIII, 369 p. 101 illus., 13 illus. in color.) 225 1 $aUndergraduate Texts in Mathematics,$x0172-6056 300 $aBibliographic Level Mode of Issuance: Monograph 311 $a3-319-17851-2 327 $aPreface to the Third Edition.-1. First-Order Differential Equations -- 2. Second-Order Linear Equations -- 3. Laplace Transforms -- 4. Linear Systems -- 5. Nonlinear Systems -- 6. Computation of Solutions -- Appendix A. Review and Supplementary Exercises.-Appendix B. Matlab(R) Supplement -- References -- Index. 330 $aThe third edition of this concise, popular textbook on elementary differential equations gives instructors an alternative to the many voluminous texts on the market. It presents a thorough treatment of the standard topics in an accessible, easy-to-read, format. The overarching perspective of the text conveys that differential equations are about applications. This book illuminates the mathematical theory in the text with a wide variety of applications that will appeal to students in physics, engineering, the biosciences, economics and mathematics. Instructors are likely to find that the first four or five chapters are suitable for a first course in the subject. This edition contains a healthy increase over earlier editions in the number of worked examples and exercises, particularly those routine in nature. Two appendices include a review with practice problems, and a MATLABŪ supplement that gives basic codes and commands for solving differential equations. MATLABŪ is not required; students are encouraged to utilize available software to plot many of their solutions. Solutions to even-numbered problems are available on springer.com. From the reviews of the second edition: ?The coverage of linear systems in the plane is nicely detailed and illustrated. ?Simple numerical methods are illustrated and the use of Maple and MATLAB is encouraged. ?select Dave Logan?s new and improved text for my course.? ?Robert E. O?Malley, Jr., SIAM Review, Vol. 53 (2), 2011 ?Aims to provide material for a one-semester course that emphasizes the basic ideas, solution methods, and an introduction to modeling. ?The book that results offers a concise introduction to the subject for students of mathematics, science and engineering who have completed the introductory calculus sequence. ?This book is worth a careful look as a candidate text for the next differential equations course you teach.? ?William J. Satzer, MAA Reviews, January, 2011. 410 0$aUndergraduate Texts in Mathematics,$x0172-6056 606 $aDifferential equations 606 $aMathematical models 606 $aApplied mathematics 606 $aEngineering mathematics 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aApplications of Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M13003 615 0$aDifferential equations. 615 0$aMathematical models. 615 0$aApplied mathematics. 615 0$aEngineering mathematics. 615 14$aOrdinary Differential Equations. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aApplications of Mathematics. 676 $a515.35 700 $aLogan$b J. David$4aut$4http://id.loc.gov/vocabulary/relators/aut$048876 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299786603321 996 $aFirst course in differential equations$9766187 997 $aUNINA