A Student's Guide to Laplace Transforms New Edition

Very accessible easy to read book. Great for self-studying or for someone willing to invest time in the topic at their own pace. It doesn't sacrifice readability, having a large amount of figures that provide the much necessary conceptual insights on the topic. In fact, the entire rationale of the book seems precisely to provide the reader with a very solid grounding on the meaning of the Laplace transform, rather than just being a dry, boring, mechanical book on the topic. This alone makes it stand out above the rest - it bothers explain the why, the how, and specially, what does it really mean.

I am still reviewing this book, having just gotten it recently - however, a full quick overview shows it to be about right for those wishingto refresh or re-learn Laplacian transforms.I always strggled with this as it was not covered well in the courses I took in University, so this will re-jog my brain and allow more use moving forward when needed. A great book, so far, and well written, with "student" exercises to practice - just what the "math doctor" ordered! Thanks - recommended for students and adults re-training.

This book certainly is NOT the first place to learn about Laplace Transformations...that is probably best done in an introductory text to differential equations, such as the one by Dennis Zill. Here the transform is rigorously introduced in enormous detail, both mathematically and geometrically, and it is not until much later on are the applications introduced-the raison d'etre.It is however nice to be able to have a good understanding of the similarities and the differences between the Laplace and the Fourier transforms, and the concept that the real part of 's' acts as a frequency was quite illuminating, as before I had just thought of it as the growth/decay factor.I must admit, I have never heard of or used the Z-transformation discussed towards the end of the book.In summary, if you use the Laplace transforms simply as a tool in conjunction with tables of foward and reverse transforms, and are not interested in the machinery behind the transformation, this book is way beyond your needs. But how could you NOT want to know more??

Good book to refresh my memory about Laplace transforms as Engineer who learned that 30 years ago! I like the explanation about the interest and the use of such mathematical transforms a stools to help to solve complex Engineering tasks. it will be easier if the problem solutions where part of the book instead of online but I can understand why.

The purpose of this work is clearly stated on the backcover of the book and stated by the author on page 40 of the book. It is best not only to have a background in multivariable calculus but also some basic knowledge of LaPlace, Fourier, and z-transforms. You should be familiar with Heaviside step-functions, Dirac delta functions, and gamma functions prior to reading this text. Professor Fleisch does a incredible job of explaining how these transforms are related, the time and frequency domains, and what integration of angular frequencies are required for the best approximation of the inverse transforms. The first two chapters meticulously derive the transforms for constant, sin, cos, and t^n power, and hyperbolic functions using Euler's equation and limits. The problems sets have ten problems for each chapter. You can either use hints and try to solve on your own or look at the full solution. The pdf of the solutions was easy to download from the publisher. Chapter 3 properties of LaPlace transform including integration, differentiation, and convolution. Chapter 4 covers applications. Chapter 5 z-transforms. At least for me this work is written at a more difficult level than previous books by Fleisch in the Student's Guide Series. Fortunately the end of the chapter problems are written at an easier level. I was primarily interested in the first three chapters, which I have read through twice. I am a self learner and the solved solution sets are critical. Professor Flesich has given us another wonderful text, I would love to see a similar work in this series on complex variables and differential geometry. The solutions sets should be in a similar formats hints and complete solutions.

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