000 03734nam a22005055i 4500
001 978-1-4020-5440-2
003 DE-He213
005 20251006084521.0
007 cr nn 008mamaa
008 100301s2007 ne | s |||| 0|eng d
020 _a9781402054402
020 _a99781402054402
024 7 _a10.1007/1-4020-5440-8
_2doi
082 0 4 _a519
_223
100 1 _aSoare, Mircea V.
_eauthor.
245 1 0 _aOrdinary Differential Equations with Applications to Mechanics
_h[electronic resource] /
_cby Mircea V. Soare, Petre P. Teodorescu, Ileana Toma.
264 1 _aDordrecht :
_bSpringer Netherlands,
_c2007.
300 _aX, 488 p.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aMathematics and Its Applications ;
_v585
505 0 _aLinear ODEs of First and Second Order -- Linear ODEs Of Higher Order (n > 2) -- Linear ODSs of First Order -- Non-Linear ODEs Of First and Second Order -- Non-Linear ODSs of First Order -- Variational Calculus -- Stability.
520 _aThe present book has its source in the authors' wish to create a bridge between the mathematical and the technical disciplines, which need a good knowledge of a strong mathematical tool. The necessity of such an interdisciplinary work drove the authors to publish a first book to this aim with Editura Tehnica, Bucharest, Romania. The present book is a new, English edition of the volume published in 1999. It contains many improvements concerning the theoretical (mathematical) information, as well as new topics, using enlarged and updated references. Only ordinary differential equations and their solutions in an analytical frame were considered, leaving aside their numerical approach. The problem is firstly stated in its mechanical frame. Then the mathematical model is set up, emphasizing on the one hand the physical magnitude playing the part of the unknown function and on the other hand the laws of mechanics that lead to an ordinary differential equation or system. The solution is then obtained by specifying the mathematical methods described in the corresponding theoretical presentation. Finally a mechanical interpretation of the solution is provided, this giving rise to a complete knowledge of the studied phenomenon. The number of applications was increased, and many of these problems appear currently in engineering. Audience Mechanical and civil engineers, physicists, applied mathematicians, astronomers and students. The prerequisites are courses of elementary analysis and algebra, as given at a technical university. On a larger scale, all those interested in using mathematical models and methods in various fields, like mechanics, civil and mechanical engineering, and people involved in teaching or design will find this work indispensable.
650 0 _aMATHEMATICS.
650 0 _aDIFFERENTIAL EQUATIONS.
650 0 _aMECHANICS.
650 0 _aENGINEERING MATHEMATICS.
650 1 4 _aMATHEMATICS.
650 2 4 _aAPPLICATIONS OF MATHEMATICS.
650 2 4 _aMECHANICS.
650 2 4 _aAPPL.MATHEMATICS/COMPUTATIONAL METHODS OF ENGINEERING.
650 2 4 _aORDINARY DIFFERENTIAL EQUATIONS.
700 1 _aTeodorescu, Petre P.
_eauthor.
700 1 _aToma, Ileana.
_eauthor.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9781402054396
830 0 _aMathematics and Its Applications ;
_v585
856 4 0 _uhttp://dx.doi.org/10.1007/1-4020-5440-8
_zVer el texto completo en las instalaciones del CICY
912 _aZDB-2-SMA
942 _2ddc
_cER
999 _c61278
_d61278