000			nam a22 7a 4500
999			_c28892 _d28892
008			180204b xxu||||| |||| 00| 0 eng d
020			_a9781470437206
082			_a515.2433 _bMON
100			_aMontgomery, Hugh L.
245			_aEarly fourier analysis
250			_aIndian edition
260			_bAmerican Mathematical Society, _aRhode Island: _c2014
300			_ax, 390 p. _bill. _c22 cm.
365			_aINR _b1225.00
440			_aPure and applied undergraduate texts, 22.
520			_a 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			_aHarmonic analysis
650			_aFourier transformations
650			_aEuclidean spaces
942			_2ddc _cBK