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Fourier Series and Orthogonal Polynomials

Dunham Jackson
Publisher: 
Dover Publications
Publication Date: 
2004
Number of Pages: 
240
Format: 
Paperback
Price: 
14.95
ISBN: 
0-486-43808-2
Category: 
Monograph
BLL Rating: 

The Basic Library List Committee suggests that undergraduate mathematics libraries consider this book for acquisition.

[Reviewed by
Fernando Q. Gouvêa
, on
12/1/2004
]

This is a Dover reprint of one of the earlier books in the MAA's Carus Mathematical Monographs (volume 6, first published in 1941). Two reviews are available through JSTOR: one from National Mathematics Magazine (the ancestor of Mathematics Magazine) and another from the American Mathematical Monthly. The first of these reviews starts by saying that "This Monograph measures up fully to the expectation of the reader who is acquainted (and who is not?) with the lucid and elegant presentation — oral and written — of Dunham Jackson." Modern readers may well not be acquainted with Jackson's expository prowess, but the book offers pretty good evidence for it. The author of that review concludes that the book "will render much service as a stimulating source of information on a very important branch of analysis." And so it has, over the last 60-some years.


Fernando Q. Gouvêa is grateful to Colby College for providing him with JSTOR access.

 


I. Fourier Series
II. Legendre Polynomials
III. Bessel Functions
IV. Boundary Value Problems
V. Double Series; Laplace Series
VI. The Pearson Frequency Functions
VII. Orthogonal Polynomials
VIII. Jacobi Polynomials
IX. Hermite Polynomials
X. Laguerre Polynomials
XI. Convergence
Exercises
Bibliography
Index

Dummy View - NOT TO BE DELETED