LEADER 04174nam 2200661 450 001 9910595381803321 005 20200520144314.0 010 $a1-118-88058-7 010 $a1-118-62998-1 010 $a1-118-96967-7 035 $a(CKB)3710000000230453 035 $a(EBL)1779319 035 $a(SSID)ssj0001383398 035 $a(PQKBManifestationID)11763987 035 $a(PQKBTitleCode)TC0001383398 035 $a(PQKBWorkID)11477057 035 $a(PQKB)11030668 035 $a(MiAaPQ)EBC1779319 035 $a(CaSebORM)9781118629987 035 $a(Au-PeEL)EBL1779319 035 $a(CaPaEBR)ebr10927731 035 $a(CaONFJC)MIL642281 035 $a(OCoLC)890441641 035 $a(MiAaPQ)EBC7104173 035 $a(Au-PeEL)EBL7104173 035 $a(EXLCZ)993710000000230453 100 $a20140917h20142014 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aSolutions manual for beginning partial differential equations /$fPeter V. O'Neil 205 $aThird edition. 210 1$aHoboken, New Jersey :$cWiley,$d2014. 210 4$dİ2014 215 $a1 online resource (199 p.) 225 0 $aPure and Applied Mathematics : A Wiley Series of Texts, Monographs and Tracts 300 $aDescription based upon print version of record. 311 $a1-322-11030-1 311 $a1-118-63009-2 327 $aCover; Series; Title Page; Copyright; Preface; Chapter 1: First Ideas; 1.1 Two Partial Differential Equations; 1.2 Fourier Series; 1.3 Two Eigenvalue Problems; 1.4 A Proof of the Convergence Theorem; Chapter 2: Solutions of the Heat Equation; 2.1 Solutions on an Interval [0,L]; 2.2 A Nonhomogeneous Problem; Chapter 3: Solutions of the Wave Equation; 3.1 Solutions on Bounded Intervals; 3.2 The Cauchy Problem; 3.3 The Wave Equation in Higher Dimensions; Chapter 4: Dirichlet and Neumann Problems; 4.1 Laplace''s Equation and Harmonic Functions; 4.2 The Dirichlet Problem for a Rectangle 327 $a4.3 The Dirichlet Problem for a Disk4.4 Properties of Harmonic Functions; 4.5 The Neumann Problem; 4.6 Poisson''s Equation; 4.7 An Existence Theorem for the Dirichlet Problem; Chapter 5: Fourier Integral Methods of Solution; 5.1 The Fourier Integral of a Function; 5.2 The Heat Equation on the Real Line; 5.3 The Debate Over the Age of the Earth; 5.4 Burgers' Equation; 5.5 The Cauchy Problem for the Wave Equation; 5.6 Laplace''s Equation on Unbounded Domains; Chapter 6: Solutions Using Eigenfunction Expansions; 6.1 A Theory of Eigenfunction Expansions; 6.2 Bessel Functions 327 $a6.3 Applications of Bessel Functions6.4 Legendre Polynomials and Applications; Chapter 7: Integral Transform Methods of Solution; 7.1 The Fourier Transform; 7.2 Heat and Wave Equations; 7.3 The Telegraph Equation; 7.4 The Laplace Transform; Chapter 8: First-Order Equations; 8.1 Linear First-Order Equations; 8.2 The Significance of Characteristics; 8.3 The Quasi-Linear Equation; Series List; End User License Agreement 330 $aAs the Solutions Manual, this book is meant to accompany the main title, Beginning of Partial Differential Equations, Third Edition. The Third Edition features a challenging, yet accessible, introduction to partial differential equations, and provides a solid introduction to partial differential equations, particularly methods of solution based on characteristics, separation of variables, as well as Fourier series, integrals, and transforms. Thoroughly updated with novel applications such as Poe's pendulum and Kepler's problem in astronomy, the book begins with first-order linear and quasi-li 410 0$aPure and Applied Mathematics: A Wiley Series of Texts, Monographs and Tracts 606 $aDifferential equations$vProblems, exercises, etc 608 $aElectronic books. 615 0$aDifferential equations 676 $a515.35076 700 $aO'Neil$b Peter V.$0511885 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910595381803321 996 $aSolutions manual for beginning partial differential equations$92918071 997 $aUNINA