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130626  eng 
020 


a 9781402054402

100 
1 

a Soare, Mircea

245 
0 
0 
a Ordinary Differential Equations with Applications to Mechanics
h Elektronische Ressource
c by Mircea Soare, Petre P. Teodorescu, Ileana Toma

250 


a 1st ed. 2007

260 


a Dordrecht
b Springer Netherlands
c 2007, 2007

300 


a X, 488 p
b online resource

505 
0 

a Linear ODEs of First and Second Order  Linear ODEs Of Higher Order (n > 2)  Linear ODSs of First Order  NonLinear ODEs Of First and Second Order  NonLinear ODSs of First Order  Variational Calculus  Stability

653 


a Engineering mathematics

653 


a Classical Mechanics

653 


a Mathematical analysis

653 


a Analysis

653 


a Engineering / Data processing

653 


a Applications of Mathematics

653 


a Mathematics

653 


a Mechanics

653 


a Differential Equations

653 


a Mathematical and Computational Engineering Applications

653 


a Differential equations

700 
1 

a Teodorescu, Petre P.
e [author]

700 
1 

a Toma, Ileana
e [author]

041 
0 
7 
a eng
2 ISO 6392

989 


b Springer
a Springer eBooks 2005

490 
0 

a Mathematics and Its Applications

028 
5 
0 
a 10.1007/1402054408

856 
4 
0 
u https://doi.org/10.1007/1402054408?nosfx=y
x Verlag
3 Volltext

082 
0 

a 515

520 


a The 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
