Schaum's Outline of Fourier Analysis with Applications to Boundary Value Problems (Paperback)

by Murray Spiegel (Author) "In solving problems of science and engineering the following steps are generally taken..." (more)
Key Phrases: cos xat, cos aat, orthonormal series, Solved Problems, Supplementary Problems, Find the Fourier (more...)

Editorial Reviews

Product Description
Ace your course in Fourier analysis with this powerful study guide! With its clear explanations, hundreds of fully solved problems, and comprehensive coverage of the applications of Fourier series, this useful tool can sharpen your problem-solving skills, improve your comprehension, and reduce the time you need to spend studying. It also includes hundreds of additional practice problems for you to work on your own, at your own speed to help you get ready for tests. Featuring theorem proofs as well as real-world application examples, this comprehensive guide is also the perfect tutor for brushing up for graduate or professional exams!

From the Back Cover
Ace your course in Fourier analysis with this powerful study guide! It can sharpen your problem-solving skills, improve your comprehension, and reduce the time you need to spend studying!

Students love Schaum's Outlines!

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Schaum's Outlines give you the information teachers expect you to know in a handy and succinct format---without overwhelming you with unnecessary details. You get a complete overview of the subject---and no distracting minutiae. Plus, you get plenty of practice exercises to test your skill.

Compatible with any classroom text, Schaum's lets you study at your own pace and reminds you of all the important facts you need to remember---fast! And Schaum's is so complete it's the perfect tool for preparing for graduate or professional exams!

If you want top grades and excellent understanding of Fourier analysis, this powerful study tool is the best tutor you can have!

Inside, you will find:

• 205 detailed problems, including step-by-step solutions
• Hundreds of additional practice problems, with answers supplied
• Clear explanations of the underlying concepts and applications of Fourier analysis
• Proofs of theorems, with accompanying relevant sample problems and solutions

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Product Details

• Paperback: 208 pages
• Publisher: McGraw-Hill; 1 edition (March 1, 1974)
• Language: English
• ISBN-10: 0070602190
• ISBN-13: 978-0070602199
• Product Dimensions: 10.8 x 8.1 x 0.4 inches
• Shipping Weight: 13.6 ounces (View shipping rates and policies)
• Average Customer Review: 4.0 out of 5 stars See all reviews (4 customer reviews)
• Amazon.com Sales Rank: #176,055 in Books (See Bestsellers in Books)

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Customer Reviews

Most Helpful Customer Reviews

8 of 8 people found the following review helpful:

5.0 out of 5 stars Good for Fourier analysis and much more, December 3, 2005

By	calvinnme "Texan refugee" (Fredericksburg, Va) - See all my reviews (TOP 10 REVIEWER)

This Schaum's outline is unique in that you not only get a thorough coverage of Fourier analysis, but of other orthogonal functions such as Bessel, Legendre, Hermite, and Laguerre. The first chapter would be interesting to students of partial differential equations because of its excellent treatment of boundary value problems and of the different types of partial differential equations. It makes an interesting first taste of PDE solution methods. Chapter two is a traditional treatment of Fourier series and its applications. As in the first chapter, it is the applications that make the chapter unique as the Fourier series is used to solve problems in heat flow, Laplace's equations, and vibrating systems. Chapter three has a good discussion of why you would actually care if a function is orthogonal. Chapter four discusses special functions and how they are evaluated. Chapters five and six are all about applications of the Fourier integral and of the Bessel function respectively. Chapter seven uses the Legendre functions to solve problems such as finding the potential interior and exterior to a sphere given a specific charge distribution. Chapter eight finishes the guide with a discussion of Hermite and Laguerre polynomials, more from a properties standpoint than from an applications standpoint. The reader of this guide should already be knowledgeable of Calculus and differential equations, and should probably have some kind of background in physics or engineering to get the most from the book. It would be a good supplement for the student of partial differential equations or signal processing as well as the student of Fourier analysis. I think what really sets this book apart is its ability to act as a stand-alone guide to the student with the required prerequisites and to actually to inspire you to study applied mathematics more. As for my own story, I picked up a previous edition of this book 17 years ago for a coworker that thought it might be helpful in a class he was taking. He decided he didn't want it and so I began thumbing through it. I found the applications sections to be so interesting and inspiring that I wound up going back to graduate school and eventually picked up three master's degrees! If you like this Schaum's outline, you might also want to pick up "Schaum's Outline of Advanced Mathematics for Engineers and Scientists" by the same author. It is also full of mathematics inspired by real world problems in need of solution.

4 of 7 people found the following review helpful:

4.0 out of 5 stars Good study aid!, March 27, 2000

By A Customer

Very helpful to me in my medical imaging and signal processing assignments! A good buy for any student of engineering or science, particuarly useful to the study of signal analysis.

4 of 8 people found the following review helpful:

4.0 out of 5 stars Step-by-step explanations, August 28, 2002

By	Jeffrey Leeper "kem2070" (Seattle, WA USA) - See all my reviews (TOP 1000 REVIEWER)    (REAL NAME)

This text is a good supplement to understanding the use of Fourier analysis and how it is used in real-world applications. The explanations are to the point and the solved problems are all fairly easy to follow.

At the end of the chapter, there are exercises to test your knowledge, and most of the answers are in the back of the book. Modeling the exercises on the problems, you can usually work out what you should do for the exercise.

This is a good study guide.