Early Fourier analysis (Record no. 55980)

MARC details
000 -LEADER
fixed length control field 02438nam a22002297a 4500
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20191121131731.0
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 191121b ||||| |||| 00| 0 eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number 9781470437206
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number 515.2433 MON
100 ## - MAIN ENTRY--PERSONAL NAME
Personal name Hugh L Montgomery
245 ## - TITLE STATEMENT
Title Early Fourier analysis
Statement of responsibility, etc /Hugh L Montgomery
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT)
Place of publication, distribution, etc Providence, Rhode Island
Name of publisher, distributor, etc : American Mathematical Society
Date of publication, distribution, etc , 2014
300 ## - PHYSICAL DESCRIPTION
Extent x, 390 pages
Dimensions ; 27 cm.
365 ## - TRADE PRICE
Price amount 00
490 ## - SERIES STATEMENT
Series statement Pure and applied undergraduate texts, 22.
505 ## - FORMATTED CONTENTS NOTE
Contents note Background --<br/>Complex numbers --<br/>The discrete Fourier transform --<br/>Fourier coefficients and first Fourier series --<br/>Summability of Fourier series --<br/>Fourier series in mean square --<br/>Trigonometric polynomials --<br/>Absolutely convergent Fourier series --<br/>Convergence of Fourier series --<br/>Applications of Fourier series --<br/>The Fourier transform --<br/>Higher dimensions --<br/>The Binomail theorem --<br/>Chebyshev polynomials --<br/>Applications of the Fundamental theorem of algebra --<br/>Orders of magnitude --<br/>Trigonometry.
520 ## - SUMMARY, ETC.
Summary, etc <br/>Fourier Analysis is an important area of mathematics, especially in light of its importance in physics, chemistry, and engineering. Yet it seems that this subject is rarely offered to undergraduates. This book introduces Fourier Analysis in its three most classical settings: The Discrete Fourier Transform for periodic sequences, Fourier Series for periodic functions, and the Fourier Transform for functions on the real line. The presentation is accessible for students with just three or four terms of calculus, but the book is also intended to be suitable for a junior-senior course, for a capstone undergraduate course, or for beginning graduate students. Material needed from real analysis is quoted without proof, and issues of Lebesgue measure theory are treated rather informally. Included are a number of applications of Fourier Series, and Fourier Analysis in higher dimensions is briefly sketched. A student may eventually want to move on to Fourier Analysis discussed in a more advanced way, either by way of more general orthogonal systems, or in the language of Banach spaces, or of locally compact commutative groups, but the experience of the classical setting provides a mental image of what is going on in an abstract setting.
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Fourier transformations
655 ## - INDEX TERM--GENRE/FORM
Genre/form data or focus term Harmonic analysis
Non-focus term Fourier analysis
700 ## - ADDED ENTRY--PERSONAL NAME
Personal name Hugh L Montgomery
942 ## - ADDED ENTRY ELEMENTS (KOHA)
Koha item type Books
Holdings
Withdrawn status Lost status Source of classification or shelving scheme Damaged status Not for loan Home library Current library Date acquired Source of acquisition Cost, normal purchase price Total Checkouts Full call number Barcode Date last seen Price effective from Koha item type Public note
    Dewey Decimal Classification     SNU LIBRARY SNU LIBRARY 21/11/2019 Maths Gifted Book 0.00   515.2433 MON G1572 21/11/2019 21/11/2019 Books Maths Gifted Book
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