000			04139nam a22003017a 4500
003			OSt
005			20220804090710.0
008			220223b |||||||| |||| 00| 0 eng d
020			_a9781680959130 (hardback)
040			_cCvSU Main Campus Library _erda
041			_aeng
050			_aQA403.5 _bT41 2018
110			_9301 _a3G E-Learning _eauthor
245			_aPrinciples of Fourier analysis / _c3G E-Learning.
260			_aNew York, NY : _b3G E-learning LLC, _cc2018
300			_a244 pages : _billustrations ; _c26 cm
336			_2rdacontent _atext
337			_2rdamedia _aunmediated
338			_2rdacarrier _avolume
490			_a3GE Collection on mathematics
504			_aIncludes bibliographical references and index.
505			_aFourier series -- Fourier transform -- Laplace transform -- Convolution and transforms of products -- Correlation and regression -- Signal sampling -- Legendre’s equation and simple properties of P (x).
520			_a"Fourier analysis is the branch of mathematics named in the honor of French mathematician Jean Baptiste Joseph fourier1 (1768-1830), whose treatise on heat flow first introduced most of these concepts. Today, Fourier analysis is, among other things, perhaps the single most important mathematical tool used in what we call signal processing. Frequency domain analysis and Fourier transform are the foundation of signal and system analysis. These philosophies are also one of the conceptual pillars within electrical engineering. Among all of the mathematical tools utilized in electrical engineering, frequency domain analysis is arguably the most far-reaching. In fact, these ideas are so important that they are widely used in many fields – not just in electrical engineering, but in practically all branches of engineering and science, and several areas of mathematics. It represents the fundamental procedure by which complex physical “signals” may be decomposed into simpler ones and, conversely, by which complicated signals may be created out of simpler building blocks. Mathematically, Fourier analysis has spawned some of the most fundamental developments in our understanding of infinite series and function approximation – developments which are, unfortunately, much beyond the scope of these notes. Equally important, Fourier analysis is the tool with which many of the everyday phenomena – the perceived differences in sound between violins and drums, sonic booms, and the mixing of colors – can be better understood. As we shall come to see, Fourier analysis does this by establishing a simultaneous dual view of phenomena – what we shall come to call the frequency domain and the time domain representations. This book provides key insights, techniques and elegant results of Fourier analysis, and for their applications. It addresses the circle of ideas that includes Fourier series, Fourier and Laplace transforms, and eigenfunction expansions for differential operators, striking a balance between pure and applied mathematics. The reason why Fourier analysis is so important is that many of the differential equations that govern physical systems are linear, which implies that the sum of two solutions is again a solution. Therefore, since Fourier analysis tells us that any function can be written in terms of sinusoidal functions, we can limit our attention to these functions when solving the differential equations. And then we can build up any other function from these special ones. This is a very helpful strategy, because it is invariably easier to deal with sinusoidal functions than general ones. This novel edition is intended for students with a beginning knowledge of mathematical analysis who are motivated to discover the ideas that shape Fourier analysis."--Back cover
541			_aFund 164 _bCD Books International, Inc. _cPurchased _d11/18/2020 _e78176 _fpnr _hPHP 4,509.00 _p2020-10-371A _q2020-1-0324
650		0	_919097 _aFourier analysis
856			_uhttp://library.cvsu.edu.ph/cgi-bin/koha/opac-retrieve-file.pl?id=99ecd6dd609f4d808889cc302cf28fdb _yClick here to view the table of contents
942			_2lcc _cBK
999			_c37300 _d37300