LEADER 03173nam 22005055 450 001 9910805580603321 005 20240327210819.0 010 $a3-031-48784-2 024 7 $a10.1007/978-3-031-48784-2 035 $a(MiAaPQ)EBC31072006 035 $a(Au-PeEL)EBL31072006 035 $a(DE-He213)978-3-031-48784-2 035 $a(EXLCZ)9929977934100041 100 $a20240117d2023 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 13$aAn Excursion Through Partial Differential Equations$b[electronic resource] /$fby Svetlin G. Georgiev 205 $a1st ed. 2023. 210 1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2023. 215 $a1 online resource (424 pages) 225 1 $aProblem Books in Mathematics,$x2197-8506 311 08$aPrint version: Georgiev, Svetlin G. An Excursion Through Partial Differential Equations Cham : Springer,c2024 9783031487835 327 $aPreface -- General Introduction -- First Order Partial Differential Equations -- Classifications of Second Order Partial Differential Equations -- Classifications and Canonical Forms for Linear Second Order Partial Differential Equations -- The Laplace Equation -- The Heat Equation -- The Wave Equation -- Solutions, Hints and Answers to the Exercises -- Solutions, Hints and Answers to the Problems -- Index. 330 $aPresenting a rich collection of exercises on partial differential equations, this textbook equips readers with 96 examples, 222 exercises, and 289 problems complete with detailed solutions or hints. It explores a broad spectrum of partial differential equations, fundamental to mathematically oriented scientific fields, from physics and engineering to differential geometry and variational calculus. Organized thoughtfully into seven chapters, the journey begins with fundamental problems in the realm of PDEs. Readers progress through first and second-order equations, wave and heat equations, and finally, the Laplace equation. The text adopts a highly readable and mathematically solid format, ensuring concepts are introduced with clarity and organization. Designed to cater to upper undergraduate and graduate students, this book offers a comprehensive understanding of partial differential equations. Researchers and practitioners seeking to strengthen their problem-solving skills will also find this exercise collection both challenging and beneficial. 410 0$aProblem Books in Mathematics,$x2197-8506 606 $aDifferential equations 606 $aDifferential Equations 606 $aEquacions en derivades parcials$2thub 608 $aLlibres electrònics$2thub 608 $aProblemes i exercicis$2thub 615 0$aDifferential equations. 615 14$aDifferential Equations. 615 7$aEquacions en derivades parcials 676 $a515.35 700 $aGeorgiev$b Svetlin G$0755241 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910805580603321 996 $aAn Excursion Through Partial Differential Equations$93882674 997 $aUNINA