|
The Laplace Transform: Theory and Applications (Undergraduate Texts in Mathematics) | 
 enlarge | Author: Joel L. Schiff
Publisher: Springer
Category: Book
List Price: $69.95
Buy New: $50.36
You Save: $19.59 (28%)
New (15) Used (12) from $46.95
Rating:  4 reviews
Sales Rank: 1054473
Media: Hardcover
Edition: 1
Pages: 233
Number Of Items: 1
Shipping Weight (lbs): 1.2
Dimensions (in): 9.3 x 6.3 x 0.8
ISBN: 0387986987
Dewey Decimal Number: 515.723
EAN: 9780387986982
Publication Date: October 14, 1999
Availability: Usually ships in 24 hours
| |
| Similar Items:
|
| Editorial Reviews:
Product Description
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.
|
| Customer Reviews:
 Well Written and Presented July 11, 2006
Allan Vandyke (New Zealand)
4 out of 5 found this review helpful
I thought this book was really well written and presented. It has really helped with my understanding of Laplace Transforms. I would highly recommend this book to engineers who want a deeper understanding of transforms. It is worth while reading up on Residue Theory and Cauchys Theorem before reading this book. I am sure that I will constantly reference back to this book for my work.
The Laplace Transform October 9, 2007
Nicholas D. Ward (Philadelphia, Pennsylvania United States)
1 out of 2 found this review helpful
The Laplace Transform: Theory and Applications (Undergraduate Texts in Mathematics)
Joel Schiff has demonstrated on a number of occasions that he is a master expositor of Mathematics and the current volume has to be among Dr Schiff's finest. 'The Laplace Transform' is an excellent starting point for those who want to master the application of transform techniques to boundary value problems and thus provides a backdrop to Davies' Integral Transforms and Duffy's Transform Methods.
Dr Schiff is to be particularly commended for his treatment of the inverse Laplace transform, which often receives scant attention in engineering texts.
Dr Schiff's book can be read at several levels; readers less interested in mastering the proofs may be interested to note that most of the standard transforms one meets in practice are covered either in the text or in exercises.
In sum, 'The Laplace Transform' is for those who want to get beyond the 'operational technique' status of the method, and is strongly recommended to readers who have covered a first course in complex variables. It should appeal to Mathematicians and Engineers alike.
I like this book July 6, 2000
Pedro Tomas Hasdeu (capital federal Argentina)
14 out of 15 found this review helpful
This book is written in a very clear style, suitable for self-study. The exercises have been well chosen and correctly placed. It might be most effective if read concurrently or immediately after an elementary course on Differential Equations at the level of Zill's book. Teachers should take a look at this book, it shows how to deal with the subject rigorously without being boring. No measure theory is required.
 Undergraduate? June 19, 2008
Michael Edick (Olney, MD United States)
0 out of 3 found this review helpful
Just once, I'd like to pick up a math text that delivers the basics up-to and including the point of the book. This "undergraduate" book requires prior knowledge and didn't work for me as a self-teach, even with my 5-semesters of calculus. Very disappointed.
|
|
|
| |
