Download Ebook Laplace Transforms, by Mohamed F. El-Hewie
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Laplace Transforms, by Mohamed F. El-Hewie
Download Ebook Laplace Transforms, by Mohamed F. El-Hewie
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Product details
Paperback: 314 pages
Publisher: CreateSpace Independent Publishing Platform (April 15, 2013)
Language: English
ISBN-10: 1484136349
ISBN-13: 978-1484136348
Product Dimensions:
6 x 0.7 x 9 inches
Shipping Weight: 1.2 pounds (View shipping rates and policies)
Average Customer Review:
5.0 out of 5 stars
4 customer reviews
Amazon Best Sellers Rank:
#1,226,859 in Books (See Top 100 in Books)
Laplace transforms are not for everyone. They transform a complex mathematical expression into a manageable alternative form that can be integrated or differentiated. You need a lot of prerequisite mathematics to understand Laplace transforms -- algebra, analytic geometry, calculus and differential equations and an understanding of what you learned means in reality. Given that, it is very concise. Laplace transforms are a powerful means to a mathematical end. The author handled the topic well.
This is one of those self published little gems, but unlike so many others, has a LOT of value if you can organize it yourself. First, there is no index, so the 150 or so worked problems flow generally from the chapters, but for specifics you'll have to create your own index if you want to use it as a reference work. Second, the Chapter titles at the beginning are very general, and don't agree with the Intro (which says, for example, that 4 is about electrical current flow (meaning "topic" 4) in circuits, whereas CHAPTER 4 is actually about strings, dynamic systems, etc.The formulas and solutions are high quality, with few errors, and have plenty of diagrams. Despite the promotional reviews there are NOT really a lot of verbal descriptions, because the book moves at a very rapid place from example to example in order to pack at least one or two examples of each type of problem in 300 pages. The author does use the solution notation convention so later problems do refer back to previous exercises.In summary, these are the class notes of a very bright mathematician, and show the sub steps for each technique quite clearly, as long as you know the symbols and understand the operations, which are not explained in detail. Not a lot of space is spent on inverses, which are really the toughest part of transform operators, but the problems selected solve quite clearly without the need for highly complex inversion manipulations. Some of the applications covered include solutions of PDE's, electrical applications, structural and dynamic applications, and of course equations of motion, waves, vibrating strings, etc.For the price, a lot of good worked examples if you can get around the lack of indexing. Although there are also problems and solutions that are somewhat didactic, the book doesn't really follow a "course" format as much as topics and examples, more for the engineer who has forgotten a technique and wants to look up an example solution. From that point of view, very well done.If there is one "best practice" in this book that I wish other, more polished texts from Wiley and Springer would follow, it is the fact that the author, while assuming you know transforms, does NOT assume you know all the intermediate steps in each problem - solution, so there are far fewer "jumps" to figure out-- the jumps are given!! For learning, maybe you need the discipline of finding intermediate steps yourself, but for real life applications and problems, you'll thank the author for including them.
Excellent Book
It resumed a lot the process to Laplace Transformation. It is very convenient for beginners.
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