LEADER 03100nam 22006012 450 001 9910465198803321 005 20151005020622.0 010 $a1-107-14689-5 010 $a1-139-63704-5 010 $a0-511-16598-6 010 $a0-511-16483-1 010 $a0-511-80120-3 010 $a0-511-56639-5 010 $a0-511-16403-3 010 $a0-521-53391-0 035 $a(CKB)2560000000251371 035 $a(EBL)255188 035 $a(OCoLC)171138240 035 $a(SSID)ssj0000182808 035 $a(PQKBManifestationID)11939007 035 $a(PQKBTitleCode)TC0000182808 035 $a(PQKBWorkID)10172043 035 $a(PQKB)10603365 035 $a(UkCbUP)CR9780511801204 035 $a(MiAaPQ)EBC255188 035 $a(Au-PeEL)EBL255188 035 $a(CaPaEBR)ebr10120497 035 $a(OCoLC)228138652 035 $a(EXLCZ)992560000000251371 100 $a20101021d2004|||| uy| 0 101 0 $aeng 135 $aur||||||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn introduction to ordinary differential equations /$fJames C. Robinson$b[electronic resource] 210 1$aCambridge :$cCambridge University Press,$d2004. 215 $a1 online resource (xiv, 399 pages) $cdigital, PDF file(s) 300 $aTitle from publisher's bibliographic system (viewed on 05 Oct 2015). 311 $a0-521-82650-0 320 $aIncludes bibliographical references and index. 327 $aFirst order differential equations -- Second order linear equations with constant coefficients -- Linear second order equations with variable coefficients -- Numerical methods and difference equations -- Coupled linear equations -- Coupled nonlinear equations. 330 $aThis refreshing, introductory textbook covers both standard techniques for solving ordinary differential equations, as well as introducing students to qualitative methods such as phase-plane analysis. The presentation is concise, informal yet rigorous; it can be used either for 1-term or 1-semester courses. Topics such as Euler's method, difference equations, the dynamics of the logistic map, and the Lorenz equations, demonstrate the vitality of the subject, and provide pointers to further study. The author also encourages a graphical approach to the equations and their solutions, and to that end the book is profusely illustrated. The files to produce the figures using MATLAB are all provided in an accompanying website. Numerous worked examples provide motivation for and illustration of key ideas and show how to make the transition from theory to practice. Exercises are also provided to test and extend understanding: solutions for these are available for teachers. 606 $aDifferential equations 615 0$aDifferential equations. 676 $a515/.352 700 $aRobinson$b James C$g(James Cooper),$f1969-$0222114 801 0$bUkCbUP 801 1$bUkCbUP 906 $aBOOK 912 $a9910465198803321 996 $aAn introduction to ordinary differential equations$92486858 997 $aUNINA