Laplace Transforms and Their Applications to Differential Equations (eBook)

N.W. McLachlan (Autor)

eBook Download: EPUB

2014
240 Seiten
Dover Publications (Verlag)
978-0-486-79823-3 (ISBN)

Infos

Classic graduate-level exposition covers theory and applications to ordinary and partial differential equations. Includes derivation of Laplace transforms of various functions, Laplace transform for a finite interval, and more. 1948 edition.

---

This introduction to modern operational calculus offers a classic exposition of Laplace transform theory and its application to the solution of ordinary and partial differential equations. The treatment is addressed to graduate students in engineering, physics, and applied mathematics and may be used as a primary text or supplementary reading.Chief topics include the theorems or rules of the operational calculus, evaluation of integrals and establishment of mathematical relationships, derivation of Laplace transforms of various functions, the Laplace transform for a finite interval, and other subjects. Many problems and illustrative examples appear throughout the book, which is further augmented by helpful Appendixes.

Autor

Norman William McLachlan taught electrical engineering at the University of Illinois and the University of Washington. He wrote several books on engineering-related mathematics and other topics.

Produkt-Details

• Erscheint lt. Verlag: 20.8.2014
• Reihe/Serie: Dover Books on Mathematics
• Reihe/Serie: Dover Books on Mathematics
• Reihe/Serie: Dover Books on Mathematics
• Sprache: englisch
• Maße: 140 x 140 mm
• Themenwelt: Mathematik / Informatik ► Mathematik
• Schlagworte: applied math • Calculus • Calculus, Operational • Differential Equations • Engineering • finite interval • graduate students • heavisides unit function • Heaviside's Unit Function • illustrative examples • Laplace transform • Laplace transformation • laplace transform theory • mathematical deviation • mathematical relationships • Mathematics • mathematics, applied math, calculus, differential equations, modern operational calculus, classic exposition, laplace transform theory, graduate students, engineering, physics, theorems, rules, mathematical deviation, finite interval, problem sets, illustrative examples • Mellin inversion theorem • modern operational calculus • operational calculus • ordinary linear differential equations • partial linear differential equations • Physics • problem sets • Rules • Theorems
• ISBN-10: 0-486-79823-2 / 0486798232
• ISBN-13: 978-0-486-79823-3 / 9780486798233