Free PDF 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
Free PDF Schaum's Outline of Fourier Analysis with Applications to Boundary Value Problems
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From the Back Cover
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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.
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Product details
Series: Schaum's Outline Series
Paperback: 208 pages
Publisher: McGraw-Hill Education; 1 edition (March 22, 1974)
Language: English
ISBN-10: 0070602190
ISBN-13: 978-0070602199
Product Dimensions:
8.4 x 0.5 x 10.9 inches
Shipping Weight: 9.6 ounces (View shipping rates and policies)
Average Customer Review:
3.7 out of 5 stars
18 customer reviews
Amazon Best Sellers Rank:
#257,622 in Books (See Top 100 in Books)
Has sections on Fourier-Bessel and Legendre function expansions in addition to the typical real and complex sinusoidal expansions. Their is also a chapter on orthogonal polynomials (Hermite, Laguerre and Chebychev). Would serve as a useful supplement to Byerly's classic text.Murray Spiegel was and is highly regarded as an author of "teach yourself" mathematics texts. If you are struggling with applied mathematics at the undergraduate level I'd highly encourage taking a look at his other publications:Schaum Publishing Co:Theory and Problems of College Algebra (1956)Theory and Problems of Vector Analysis and An Introduction to Tensor Analysis(1959)Theory and Problems of Statistics (1961)Theory and Problems of Advanced Calculus (1963)Theory and Problems of Complex Variables (1964)Theory and Problems of Laplace Transforms (1965)Theory and Problems of Theoretical Mechanics (1967)Theory and Problems of Mathematical Handbook of Formulas and Tables (1968)Theory and Problems of Real Variables (1969)Theory and Problems of Advanced Mathematics for Engineers and Scientists (1971)Theory and Problems of Finite Differences and Difference Equations (1971)Theory and Problems of Fourier Analysis with Applications to Boundary-Value Problems (1974)Theory and Problems of Probability and Statistics (1975)Nearly all of the above were reprinted at later dates (and a few 2nd and 3rd editions) but excepting Mathematical Handbook of Formulas and Tables which had a few mistakes in the first edition and the obligatory tabulations I'd recommend trying to find the earliest avaliable printing as the quality is typically higher. My particular favorite is Complex Variables.Prentice Hall:Applied Differential Equations (1963,1967,1980)
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.
lots of good problems
I like all my Schaum's outlines! They are my best references. They are the first thing I look at when referencing any subject. Get one for any class they have it for.
As described
product as expected quick transaction
as expected
Excellent refresher from my college engineering days. My college text book was not complete enough with examples completely worked out.
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