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Confusing Textbooks? Missed Lectures? Not Enough Time?
Fortunately for you, there's Schaum's Outlines. More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.
This Schaum's Outline gives you
- Practice problems with full explanations that reinforce knowledge
- Coverage of the most up-to-date developments in your course field
- In-depth review of practices and applications
Fully compatible with your classroom text, Schaum's highlights all the important facts you need to know. Use Schaum's to shorten your study time-and get your best test scores!
Schaum's Outlines-Problem Solved.
- Sales Rank: #577954 in eBooks
- Published on: 1974-03-22
- Released on: 1974-03-22
- Format: Kindle eBook
From the Back Cover
About the Author
The Late MURRAY R. SPIEGEl received the M.S degree in Physics and the Ph.D. in Mathematics from Cornell University. He had positions at Harvard University, Columbia University, Oak Ridge and Rensselaer Polytechnic Insitute, and served as a mathematical consultant at several large Companies. His last Position was professor and Chairman of mathematics at the Rensselaer Polytechnic Institute Hartford Graduate Center. He was interested in most branches of mathematics at the Rensselaer polytechnic Institute, Hartford Graduate Center. He was interested in most branches of mathematics, especially those which involve applications to physics and engineering problems. He was the author of numerous journal articles and 14 books on various topics in mathematics.
Most helpful customer reviews
24 of 24 people found the following review helpful.
Good for Fourier analysis and much more
By calvinnme
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.
8 of 10 people found the following review helpful.
Not what I was looking for.
By Leeber Cohen
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.
1 of 1 people found the following review helpful.
A 1974 Classic; Fourier Analysis Textbook Suitable For Second Year To Third Year Maths, Physics, Engineering Students
By Andrew Oliver
This book helps the student teaching by example how to solve differential and integral and therefore difference equations in Hilbert spaces with rectilinear coordinate systems. This is its primary focus. For a given problem or related problem set, one needs to learn which type of transform or integral kernel to use; the resultant families of characteristic polynomials and characteristic special functions typify different kinds of problems and problem spaces ...
Not much time is spent on cylindrical and spherical coordinate systems; doing so would undermine the effectiveness of using Hilbert space proofs of existence and piecewise continuity of solvable system's solution functions! But given that one can define spherical space theories a la Hilbert spaces mutatis mutandis which have different sets of forbidden pathological functions to the ones forbidden in Hilbert space theory, and therefore different general convergence boundary paradoxes, it behoves one to admit that these topics may be too advanced for physics and engineering students who after all are merely interested in practical matters. Projective geometry differential geometry the calculus of variations and Riemannian manifold theory all offer other approaches that suit a few problems for which one must find another textbook ...
Hilbert spaces overly depend on every function has a rule and y = f(x) two dimensional thinking. But this limitation also is the source of powerful results that are so effective in the physical sciences that many base their faith in the meaningfulness and validity of these applied mathematical results ontologically and scientifically.
Surprisingly it does not cover the fast Fourier transform, now used all over computer science ...
A classic. Recommended.
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