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Schaum's Outline of Fourier Analysis with Applications to Boundary Value Problems
 
 
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Schaum's Outline of Fourier Analysis with Applications to Boundary Value Problems [Paperback]

Murray Spiegel (Author)
4.1 out of 5 stars  See all reviews (7 customer reviews)

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Book Description

0070602190 978-0070602199 March 1, 1974 1

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From the Back Cover

About the Author

Murray Speigel, Ph.D., was Former Professor and Chairman of the Mathematics Department at Rensselaer Polytechnic Institute, Hartford Graduate Center.

Product Details

  • Paperback: 208 pages
  • Publisher: McGraw-Hill; 1 edition (March 1, 1974)
  • Language: English
  • ISBN-10: 0070602190
  • ISBN-13: 978-0070602199
  • Product Dimensions: 10.9 x 8.2 x 0.4 inches
  • Shipping Weight: 9.6 ounces (View shipping rates and policies)
  • Average Customer Review: 4.1 out of 5 stars  See all reviews (7 customer reviews)
  • Amazon Best Sellers Rank: #58,450 in Books (See Top 100 in Books)

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18 of 18 people found the following review helpful:
5.0 out of 5 stars Good for Fourier analysis and much more, December 3, 2005
This review is from: Schaum's Outline of Fourier Analysis with Applications to Boundary Value Problems (Paperback)
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.
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2 of 2 people found the following review helpful:
3.0 out of 5 stars Not what I was looking for., February 14, 2011
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This review is from: Schaum's Outline of Fourier Analysis with Applications to Boundary Value Problems (Paperback)
I was looking for a good introductory text to Fourier series and transforms. There are some nicely worked out problems and proofs but this is definitely not an introductory text. For free you can watch Osgood's lectures on Fourier Analysis from Stanford Engineering on You-Tube. The lecture notes are also available as a download from the Stanford website. Please save your money and start there.
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5.0 out of 5 stars Typical Schaums, Outstanding - as always, December 26, 2011
This review is from: Schaum's Outline of Fourier Analysis with Applications to Boundary Value Problems (Paperback)
As other reviewers have pointed out, the book not only covers Fourier analysis but also covers Bessels functions etc. Whether you are an engineering student or an econometrician, you will find this book immensely helpful
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Inside This Book (learn more)
First Sentence:
In solving problems of science and engineering the following steps are generally taken. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
cos xat, cos aat, orthonormal series, associated differential equation, supplementary problems, orthonormal functions, order code, temperature zero
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Solved Problems, Supplementary Problems, Find the Fourier, Write Parseval
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