Książka The Laplace Transform Joel L. Schiff

The Laplace Transform

Theory and Applications

Język: Angielski
Oprawa: Miękka
Wydawca: Springer, Berlin
Dostępność: Dostępna u dostawcy w małych ilościach
Wysyłamy za 11-15 dni
282.97
The Laplace transform is an extremely versatile technique for solving differential equations, both o...

Informacje o książce

Język
Angielski
Oprawa
Książka - Miękka
Data wydania
2013
strony
236
EAN
9781475772623
ISBN
1475772629
Enbook ID
02181697
Waga
391
Wymiary
157 x 236 x 13

Pełny opis

The Laplace transform is an extremely versatile technique for solving differential equations, both ordinary and partial. It can also be used to solve difference equations. The present text, while mathematically rigorous, is readily accessible to students of either mathematics or engineering. Even the Dirac delta function, which is normally covered in a heuristic fashion, is given a completely justifiable treatment in the context of the Riemann-Stieltjes integral, yet at a level an undergraduate student can appreciate. When it comes to the deepest part of the theory, the Complex Inversion Formula, a knowledge of poles, residues, and contour integration of meromorphic functions is required. To this end, an entire chapter is devoted to the fundamentals of complex analysis. In addition to all the theoretical considerations, there are numerous worked examples drawn from engineering and physics.§When applying the Laplace transform, it is important to have a good understanding of the theory underlying it, rather than just a cursory knowledge of its application. This text provides that understanding.

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