LEADER 03796nam 22005895 450 001 9910311936803321 005 20200630074905.0 010 $a3-319-76406-3 024 7 $a10.1007/978-3-319-76406-1 035 $a(CKB)4100000007598463 035 $a(MiAaPQ)EBC5675628 035 $a(DE-He213)978-3-319-76406-1 035 $a(PPN)235006165 035 $a(EXLCZ)994100000007598463 100 $a20190204d2018 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aOrdinary Differential Equations $eMathematical Tools for Physicists /$fby Raza Tahir-Kheli 205 $a1st ed. 2018. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2018. 215 $a1 online resource (423 pages) 311 $a3-319-76405-5 320 $aIncludes bibliographical references. 327 $aPreface -- Differential Operator -- Some Definitions -- Linear Ordinary Differential Equations with Known Constant Coefficients (linODECC) -- Linear Ordinary Differential Equations with Known Variable Coefficients (linODEVC) -- Special Types of Differential Equations -- Special Situations -- OM -- RLC -- FROBSOL -- NUMSOL -- Answers to Problems from Various Chapters. 330 $aThis textbook describes rules and procedures for the use of Differential Operators (DO) in Ordinary Differential Equations (ODE ). The book provides a detailed theoretical and numerical description of ODE. It presents a large variety of ODE and the chosen groups are used to solve a host of physical problems. Solving these problems is of interest primarily to students of science, such as physics, engineering, biology and chemistry. Scientists are greatly assisted by using the DO obeying several simple algebraic rules. The book describes these rules and, to help the reader, the vocabulary and the definitions used throughout the text are provided. A thorough description of the relatively straightforward methodology for solving ODE is given. The book provides solutions to a large number of associated problems. ODE that are integrable, or those that have one of the two variables missing in any explicit form are also treated with solved problems. The physics and applicable mathematics are explained and many associated problems are analyzed and solved in detail. Numerical solutions are analyzed and the level of exactness obtained under various approximations is discussed in detail. . 606 $aPhysics 606 $aDifferential equations 606 $aMathematical physics 606 $aMechanics 606 $aMechanics, Applied 606 $aMathematical Methods in Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P19013 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aMathematical Applications in the Physical Sciences$3https://scigraph.springernature.com/ontologies/product-market-codes/M13120 606 $aTheoretical and Applied Mechanics$3https://scigraph.springernature.com/ontologies/product-market-codes/T15001 615 0$aPhysics. 615 0$aDifferential equations. 615 0$aMathematical physics. 615 0$aMechanics. 615 0$aMechanics, Applied. 615 14$aMathematical Methods in Physics. 615 24$aOrdinary Differential Equations. 615 24$aMathematical Applications in the Physical Sciences. 615 24$aTheoretical and Applied Mechanics. 676 $a515.35 700 $aTahir-Kheli$b Raza$4aut$4http://id.loc.gov/vocabulary/relators/aut$0842276 906 $aBOOK 912 $a9910311936803321 996 $aOrdinary Differential Equations$92534292 997 $aUNINA