LEADER 03156nam 2200421za 450 001 9910460330103321 005 20211005224309.0 010 $a1-118-72165-9 010 $a1-118-72157-8 010 $a1-118-72144-6 035 $a(MiAaPQ)EBC1895560 035 $a(EXLCZ)993710000000332039 100 $a20150124d2015 uy 0 101 0 $aeng 135 $aur|n|---||||| 200 10$aSymmetry analysis of differential equations$b[electronic resource] $ean introduction /$fDaniel J. Arrigo 210 $aHoboken, N.J. $cWiley$d2015 215 $a1 online resource (xiii, 176 p.) $cill 311 $a1-322-59320-5 311 $a1-118-72140-3 320 $aIncludes bibliographical references and index. 327 $a1 An Introduction -- 2 Ordinary Differential Equations -- 3 Partial Differential Equations -- 4 Nonclassical Symmetries and Compatibility -- Solutions -- References -- Index. 330 $aA self-contained introduction to the methods and techniques of symmetry analysis used to solve ODEs and PDEs. Symmetry Analysis of Differential Equations: An Introduction presents an accessible approach to the uses of symmetry methods in solving both ordinary differential equations (ODEs) and partial differential equations (PDEs). Providing comprehensive coverage, the book fills a gap in the literature by discussing elementary symmetry concepts and invariance, including methods for reducing the complexity of ODEs and PDEs in an effort to solve the associated problems. Thoroughly class-tested, the author presents classical methods in a systematic, logical, and well-balanced manner. As the book progresses, the chapters graduate from elementary symmetries and the invariance of algebraic equations, to ODEs and PDEs, followed by coverage of the nonclassical method and compatibility. Symmetry Analysis of Differential Equations: An Introduction also features: Detailed, step-by-step examples to guide readers through the methods of symmetry analysis; End-of-chapter exercises, varying from elementary to advanced, with select solutions to aid in the calculation of the presented algorithmic methods. Symmetry Analysis of Differential Equations: An Introduction is an ideal textbook for upper-undergraduate and graduate-level courses in symmetry methods and applied mathematics. The book is also a useful reference for professionals in science, physics, and engineering, as well as anyone wishing to learn about the use of symmetry methods in solving differential equations. 606 $aLie groups$vTextbooks 606 $aLie groups$xStudy and teaching (Higher) 606 $aLie groups$xStudy and teaching (Graduate) 606 $aDifferential equations, Partial$vTextbooks 608 $aElectronic books. 615 0$aLie groups 615 0$aLie groups$xStudy and teaching (Higher) 615 0$aLie groups$xStudy and teaching (Graduate) 615 0$aDifferential equations, Partial 676 $a515.353 700 $aArrigo$b Daniel J$g(Daniel Joseph),$f1960-$0915339 906 $aBOOK 912 $a9910460330103321 996 $aSymmetry analysis of differential equations$92051690 997 $aUNINA