LEADER 04280nam 22007215 450 001 996518463403316 005 20230526095228.0 010 $a3-031-24587-3 024 7 $a10.1007/978-3-031-24587-9 035 $a(CKB)5580000000524037 035 $a(DE-He213)978-3-031-24587-9 035 $a(EXLCZ)995580000000524037 100 $a20230315d2022 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aApplying Power Series to Differential Equations$b[electronic resource] $eAn Exploration through Questions and Projects /$fby James Sochacki, Anthony Tongen 205 $a1st ed. 2022. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2022. 215 $a1 online resource (XII, 217 p. 45 illus., 36 illus. in color.) 225 1 $aProblem Books in Mathematics,$x2197-8506 311 $a3-031-24586-5 327 $aChapter 1. Introduction: The Linear ODE: x? = bx + c -- Chapter 2. Egg 1: The Quadratic ODE: x? = ax2 + bx + c -- Chapter 3. Egg 2: The First Order Exponent ODE: x? = xr -- Chapter 4. Egg 3: The First Order Sine ODE: x? = sin x -- Chapter 5. Egg 4: The Second Order Exponent ODE: x?? = ?xr -- Chapter 6. Egg 5: The Second Order Sine ODE - The Single Pendulum -- Chapter 7. Egg 6: Newton?s Method and the Steepest Descent Method -- Chapter 8. Egg 7: Determining Power Series for Functions through ODEs -- Chapter 9. Egg 8: The Periodic Planar ODE: x? = ?y + ax2 + bxy + cy2 ; y? = x + dx2 + exy + fy2 -- Chapter 10. Egg 9: The Complex Planar Quadratic ODE: z? = az2 + bz + c -- Chapter 11. Egg 10: Newton?s N-Body Problem -- Chapter 12. Egg 11: ODEs and Conservation Laws -- Chapter 13. Egg 12: Delay Differential Equations -- Chapter 14. An Overview of Our Dozen ODEs -- Chapter 15. Appendix 1. A Review of Maclaurin Polynomials and Power Series -- Chapter 16. Appendix 2. The Dog Rabbit Chasing Problem -- Chapter 17. Appendix 3. A PDE Example: Burgers? Equation -- References. 330 $aThis book is aimed to undergraduate STEM majors and to researchers using ordinary differential equations. It covers a wide range of STEM-oriented differential equation problems that can be solved using computational power series methods. Many examples are illustrated with figures and each chapter ends with discovery/research questions most of which are accessible to undergraduate students, and almost all of which may be extended to graduate level research. Methodologies implemented may also be useful for researchers to solve their differential equations analytically or numerically. The textbook can be used as supplementary for undergraduate coursework, graduate research, and for independent study. 410 0$aProblem Books in Mathematics,$x2197-8506 606 $aDifferential equations 606 $aSequences (Mathematics) 606 $aDynamics 606 $aNonlinear theories 606 $aAlgebraic fields 606 $aPolynomials 606 $aDifferential Equations 606 $aSequences, Series, Summability 606 $aApplied Dynamical Systems 606 $aField Theory and Polynomials 606 $aEquacions diferencials$2thub 606 $aSuccessions (Matemàtica)$2thub 606 $aDinàmica$2thub 606 $aTeories no lineals$2thub 608 $aLlibres electrònics$2thub 615 0$aDifferential equations. 615 0$aSequences (Mathematics). 615 0$aDynamics. 615 0$aNonlinear theories. 615 0$aAlgebraic fields. 615 0$aPolynomials. 615 14$aDifferential Equations. 615 24$aSequences, Series, Summability. 615 24$aApplied Dynamical Systems. 615 24$aField Theory and Polynomials. 615 7$aEquacions diferencials 615 7$aSuccessions (Matemàtica) 615 7$aDinàmica 615 7$aTeories no lineals 676 $a515.35 700 $aSochacki$b James$4aut$4http://id.loc.gov/vocabulary/relators/aut$01351242 702 $aTongen$b Anthony$4aut$4http://id.loc.gov/vocabulary/relators/aut 906 $aBOOK 912 $a996518463403316 996 $aApplying Power Series to Differential Equations$93091240 997 $aUNISA LEADER 04938 am 2201273 n 450 001 9910342656303321 005 20190709 010 $a2-35159-550-5 024 7 $a10.4000/books.ifpo.13332 035 $a(CKB)4100000009526205 035 $a(FrMaCLE)OB-ifpo-13332 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/58885 035 $a(PPN)240757084 035 $a(EXLCZ)994100000009526205 100 $a20191015j|||||||| ||| 0 101 0 $afre 135 $auu||||||m|||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aSavants, amants, poètes et fous $eSéances offertes à Katia Zakharia / 210 $aBeyrouth, Liban $cPresses de l?Ifpo$d2019 215 $a1 online resource (416 p.) 311 $a2-35159-752-4 330 $aDans ces hommages en l?honneur du Professeur Katia Zakharia, douze chercheurs de domaines très variés ont offert des contributions savantes. Ce sont là douze Séances d?histoire, de littérature et de didactique que l?on appréciera comme des Maq?m?t, ces récits que Katia Zakharia affectionne tant. On y découvre de savants traducteurs d?une Mu?allaqa en latin, de pieux graveurs de rochers au début de l?islam. On y croise aussi des fous dont la parole est écoutée, des femmes ensorceleuses à la cour de H?r?n al-Ra??d et des eunuques dévoués à leurs maîtres. On y relit les Mille et une nuits, témoins des heurs et malheurs de ses amants, des bonnes et mauvaises fortunes de quelques unes de ses figures savantes. On pénètre dans de sombres geôles où croupissent les ennemis d?Ibn ??l?n et ravivons, le temps d?un récit historique original, la mémoire de la première croisade. Ces Séances sont également l?occasion de questionner la langue d?un auteur égyptien francophone ? Albert Cossery ? et d?analyser les représentations liées à la langue arabe dans le contexte de son enseignement en France. 606 $aHistory 606 $aLiterature (General) 606 $apoésie 606 $acroisade 606 $aépigraphie 606 $amagie 606 $afou 606 $aMille et une nuits 606 $alittérature arabe d'expression française 606 $aprison 606 $aArabic language 606 $aArabic literature 606 $aArabic poetry 606 $aepigraphy 606 $acrusade 606 $amagic 606 $aArabian nights 606 $aTeaching arabic language 606 $a????? ??????? 606 $a?????? ????????? 606 $a????? ???????? 606 $a????? 606 $a??????? 606 $a????? 606 $a?????? ??????? 606 $a????? ?????? 606 $a????? ????? ??????? 606 $a????? 610 $a????? ????? ??????? 610 $a????? 610 $a??????? 610 $a????? ??????? 610 $a????? 610 $a?????? ??????? 610 $a?????? ????????? 610 $a????? 610 $a????? ???????? 610 $a????? ?????? 615 4$aHistory 615 4$aLiterature (General) 615 4$apoésie 615 4$acroisade 615 4$aépigraphie 615 4$amagie 615 4$afou 615 4$aMille et une nuits 615 4$alittérature arabe d'expression française 615 4$aprison 615 4$aArabic language 615 4$aArabic literature 615 4$aArabic poetry 615 4$aepigraphy 615 4$acrusade 615 4$amagic 615 4$aArabian nights 615 4$aTeaching arabic language 615 4$a????? ??????? 615 4$a?????? ????????? 615 4$a????? ???????? 615 4$a????? 615 4$a??????? 615 4$a????? 615 4$a?????? ??????? 615 4$a????? ?????? 615 4$a????? ????? ??????? 615 4$a????? 700 $aBalda?Tillier$b Monica$01323079 701 $aChraïbi$b Aboubakr$0732231 701 $aCoulon$b Jean?Charles$01323080 701 $aDakhlia$b Jocelyne$0545677 701 $aFerjani$b Mohamed?Chérif$01323081 701 $aImbert$b Frédéric$01323082 701 $aLagrange$b Frédéric$01320822 701 $aLarcher$b Pierre$01150688 701 $aPinon$b Catherine$01308489 701 $aTillier$b Mathieu$0802378 701 $aToelle$b Heidi$0474605 701 $aZouache$b Abbès$0802382 701 $aPinon$b Catherine$01308489 801 0$bFR-FrMaCLE 906 $aBOOK 912 $a9910342656303321 996 $aSavants, amants, poètes et fous$93035348 997 $aUNINA