Home  - Pure_And_Applied_Math - Fourier Analysis

Books Baby Camera Phones Computers Games DVD Electronics Kitchen Magazines Music Garden Software Tools Toys Video Apparel & Accessories Jewelry & Watches Musical Instruments Health & Personal Care Beauty Sports & Outdoors Office Products

e99.com Bookstore

Images

Newsgroups

61-80 of 95    Back | 1  | 2  | 3  | 4  | 5  | Next 20

Fourier Analysis:     more books (100)

Outline of Fourier analysis, including problems with step-by-step solutions (Unitech outlines) by Hwei P Hsu, 1967 An Introduction to Wavelet Analysis by David F. Walnut, 2001-09-27 Fourier Analysis and Boundary Value Problems by Enrique A. Gonzalez-Velasco, 1996-12-02 Practical Fourier Analysis for Multigrid Methods (Numerical Insights) by Roman Wienands, Wolfgang Joppich, 2004-10-28 Introduction to Calculus and Analysis, Vol. 1 (Classics in Mathematics) by Richard Courant, Fritz John, 1998-12-22 Mathematical Principles of Signal Processing: Fourier and Wavelet Analysis by Pierre Bremaud, 2010-11-02 Applications of Discrete and Continuous Fourier Analysis by H. Joseph Weaver, 1992-05 Principles of Harmonic Analysis (Universitext) by Anton Deitmar, Siegfried Echterhoff, 2008-11-21 Principles of Fourier Analysis (Studies in Advanced Mathematics) by Kenneth B. Howell, 2001-05-18 Real Analysis and Applications: Including Fourier Series and the Calculus of Variations by Frank Morgan, 2005-12-06 Fourier Methods in Imaging (The Wiley-IS&T Series in Imaging Science and Technology) by Roger L. Easton Jr., 2010-07-06 Analysis (Graduate Studies in Mathematics) by Elliott H. Lieb, Michael Loss, 2001-03-21 Fourier Analysis and Its Applications (Graduate Texts in Mathematics) by Anders Vretblad, 2010-11-02 A Guide to Distribution Theory and Fourier Transforms by Robert S. Strichartz, 2003-09

lists with details

61. Fourier Analysis
    fourier analysis. In March 1984 we paid a visit to the physics department of the University of Toronto to photograph the collection of Koenig apparatus. Prof.  
    http://physics.kenyon.edu/EarlyApparatus/Rudolf_Koenig_Apparatus/Fourier_Analysi
    
    Extractions: Fourier Analysis In March 1984 we paid a visit to the physics department of the University of Toronto to photograph the collection of Koenig apparatus. Prof. Malcolm Graham, our host, told me that this "Manometric Flame Analyser for the timbre of sounds, with 14 universal resonators ... 650 francs" ($130) had recently been put into operation and worked properly. Today we would call this a Fourier analyzer. The adjustable Helmholtz resonators (see the detail at the right, below) are tuned to the fundamental frequency of the sound to be analyzed, plus its harmonics. The holes on the other side of the resonators are connected by the rubber tubes to manometric flame capsules , and the variation in the height of the flames observed in the rotating mirror. The variation is proportional to the strength of the Fourier component of the sound. The picture at the left, below, shows the manometric capsules and the jets where the flames are produced. Note the black background to made the flames more visible. The Fourier analyzer at the right in the Garland Collection of Classic Physics Apparatus at Vanderbilt University in Nashville, Tennessee. It arrived from France in time for the opening of Vanderbilt in the fall of 1875.

62. Fourier Analysis, Links, Books
    Jean Baptiste Joseph Fourier , fourier analysis. Elias M. Stein, Rami Shakarchi fourier analysis An Introduction fourier analysis An Introduction.  
    http://www.saunalahti.fi/jawap/colour/books/fourier.html
    
    Extractions: FindGraph is a comprehensive, feature-rich graphing, digitizing and curve fitting software specially created for these purposes. Take any graph or data from any source (Web or PDF document, for example) add your comments and perform any manipulations, like building approximation lines. Then print your results or export them to Excel or other database. The program comes with a straightforward interface, 200 built-in common graphing functions (like Cardioid, Devil's Curve, or Double Folium), support for Polar, Cartesian, and Parametric equations, various data input/export features and printing options.

63. Fourier Analysis Of Tides
    fourier analysis of the tidal record. There are three facts about sine and cosine finctions that make fourier analysis work. First fact.  
    http://www.math.sunysb.edu/~tony/tides/analysis.html
    
    Extractions: The Tidal Analyzer, ( Kelvin , opposite p. 304). Once the working hypothesis is established, that the astronomical tidal function for any given port is a sum of a certain number of constituents whose frequencies are known a priori then the amplitudes and phases of the constituents may be determined by Fourier analysis. To put the sum in more standard form, a constituent H cos( vt p ) will be rewritten using a standard trigonometric identity as A cos vt B sin vt (with A H cos p and B H sin p There are three facts about sine and cosine finctions that make Fourier analysis work. First fact . In the long run, the average value of any function of the form sin( vt ) or cos( vt ) must be zero. This is clear from looking at the graphs of these functions: each positive contribution to the average is exactly cancelled by a negative one. Second fact . For different speeds v and w the average value of the product cos( vt ) cos( wt goes to zero as the average is taken over longer and longer time intervals. The reason is that in the long run the times when the two functions are out of phase (so the product is negative) will cancel the contributions from the times they are in phase. Similarly for the products goes to exactly 1/2 if the averages are taken over longer and longer time intervals. First of all, in each case the two factors are always in phase, in fact equal, so their product is always either the square of a positive number or the square of a negative number, or zero, but in any case never negative, so there can be no cancellation. Why is the average exactly 1/2? Since the graphs of the sine function and the cosine function are so similar, we can expect that in the long run sine-squared and cosine-squared would have

64. Wiley::Fourier Analysis Of Time Series: An Introduction, Second Edition
    Wiley Mathematics Statistics Statistics Special Topics fourier analysis of Time Series An Introduction, Second Edition.  
    http://www.wiley.com/WileyCDA/WileyTitle/productCd-0471889482.html

65. Wiley::Fourier Analysis On Groups
    Wiley Mathematics Statistics Algebra Complex Functional Analysis fourier analysis on Groups. Related Subjects,  
    http://www.wiley.com/WileyCDA/WileyTitle/productCd-047152364X.html

66. Studiehandbok 04/05
    Course. Coordinator Se kurssida/ See course page. fourier analysis *. A course of Fourier series and Fourier integrals. Aim. To make  
    http://www.kth.se/student/studiehandbok/Kurs.asp?Code=5B1466&Lang=1

67. Schaums Outline Of Fourier Analysis With Applications To Boundary Value Problems
    Schaums Outline of fourier analysis with Applications to Boundary Value Problems. Schaums Outline of fourier analysis with Applications  
    http://www.sciencesbookreview.com/Schaums_Outline_of_Fourier_Analysis_with_Appli
    
    Extractions: This text is a good supplement to understanding the use of Fourier analysis and how it is used in real-world applications. The explanations are to the point and the solved problems are all fairly easy to follow. At the end of the chapter, there are exercises to test your knowledge, and most of the answers are in the back of the book. Modeling the exercises on the problems, you can usually work out what you should do for the exercise. This is a good study guide.

68. U Of T PSY280F: Fourier Analysis
    fourier analysis. Bennett s PSY380F site; Prof. Krantz s Pictorial Introduction to fourier analysis (Hanover College); The life and times of Fourier  
    http://www.cquest.utoronto.ca/psych/psy280f/ch5/fourier.html
    
    Extractions: some useful outside links (these have no direct links back to PSY280): Prof. Bennett's site Prof. Krantz's Pictorial Introduction to Fourier Analysis (Hanover College) The life and times of Fourier You can combine sinewave gratings point by point. Here, combining a vertical and horizontal grating, we end up with something like a checkerboard. The final pattern you get depends on the input. When you combine sinewave gratings, the result depends on the properties of each individual sinewave grating (contrast, orientation, spatial frequency) and their relative phases (positions relative to one another). In this figure, the two sinewave gratings on the top have been added together to get the two different patterns on the bottom. The reason the two bottom patterns look different is because we added the stimuli together in different relative phases in the two cases. Creating more complex patterns out of sinewave gratings works the same way as with simple patterns: according to Fourier's Theorem, a complex pattern (like a face) is just the sum of a particular set of sinewave gratings. You can think of the low spatial frequency information as containing the coarse features, and the high spatial frequency information as containing the fine details. The first image of Archie's face shows the original. The second shows what the image looks like with only low spatial frequencies. The third shows what the image looks like with only high spatial frequencies.

69. MESA & Fourier Analysis
    An outgrowth of the scientific and engineering technique of fourier analysis, MESA makes a radical break from earlier cycledetection methods.  
    http://www.aspenres.com/Documents/help/userguide/help/Mesahelp/mesa1MESA__Fourie
    
    Extractions: MESA, which stands for Maximum Entropy Spectrum Analysis, is an advanced mathematical method for filtering any cyclical components of different frequencies from complex signals or data sets. MESA has been used to identify the cyclic components of data sets that originate from chaotic bursts of radio waves, sub-terranean explosions, and, more recently, from military radar. An outgrowth of the scientific and engineering technique of Fourier analysis, MESA makes a radical break from earlier cycle-detection methods. Traditional Fourier techniques such as the fast Fourier transform identify cycles with a high degree of certainty, but require very large data samples an integral multiple of the wavelength of the cycle or cycles detected. Furthermore, even larger data samples are required to allow good resolution identification of concurrent cycles of unrelated wavelengths. These restrictions render traditional Fourier methods impractical for real-time market applications because cycles recurring over a long period tend to be apparent on a bar chart, without the aid of complex mathematics. MESA, by contrast, focuses on the identification of the maximum amount of cyclic activity in a very short data sample. Whereas Fourier techniques work best for identifying cycles whose wavelengths are a tiny fraction of the length of the data samples, MESA can find a cycle in a sample only as long as the wavelength itself. This sensitivity equips MESA uniquely to pick out market cycles as they develop in fast-moving markets.

70. Fourier Analysis Of (4.15)
    next up previous Next Alternative approach to sound Up Sound Waves Basic Previous Sound Waves - Basic fourier analysis of (4.15).  
    http://www-solar.mcs.st-andrews.ac.uk/~alan/sun_course/Chapter4/node4.html
    
    Extractions: This is the dispersion relation for sound waves and it relates the frequency with which the waves oscillates in time to the spatial length scales of the wave through the wave vector (and the various wave numbers). The dispersion relation, , can be used to define two important quantities, namely the phase speed and the group velocity The phase speed, in general, is given by

71. Wiley Canada::Fourier Analysis Of Time Series: An Introduction, Second Edition
    Wiley Canada Mathematics Statistics Statistics Special Topics fourier analysis of Time Series An Introduction, Second Edition.  
    http://www.wiley.ca/WileyCDA/WileyTitle/productCd-0471889482.html

72. Wiley Canada::Fourier Analysis On Groups
    Wiley Canada Mathematics Statistics Algebra Complex Functional Analysis fourier analysis on Groups. Related Subjects,  
    http://www.wiley.ca/WileyCDA/WileyTitle/productCd-047152364X.html

73. Powell's Books - Used, New, And Out Of Print
    Mathematics fourier analysis There are 82 books in this aisle. in detail fourier analysis, with emphasis on positivity and also on some function spaces and  
    http://www.powells.com/subsection/MathematicsFourierAnalysis.html

74. F32SMS: Applications Of Fourier Analysis - Home
    Welcome to the Applications of fourier analysis (F32SMS) website. This website contains information related to the 2nd year Applications  
    http://www.nottingham.ac.uk/~ppzpjm/F32SMS/
    
    Extractions: Applications of Fourier Analysis (F32SMS) Home/ Module Information Lecture Notes Problems classes Links ... Feedback Welcome to the Applications of Fourier Analysis (F32SMS) website. This website contains information related to the 2nd year Applications of Fourier Analysis Comments, criticisms, and suggestions for improvement should be sent to the module convenors at philip.moriarty@nottingham.ac.uk or david.rourke@nottingham.ac.uk Lord Kelvin. [Click on the image in the top left hand corner of this page for a biography of Fourier] ERRATA The definition of Parseval's theorem in the slides for Lecture 2 shouldn't have the 1/(2 PI) factor. The definition of the 2D FFT in the slides for Lecture 4 should have a 1/(2 PI) rather than a 1/sqrt(2 PI) factor Recent changes to website 7th May 2004: Solutions for Problems Class 8 posted. 6th May 2004: Set of notes for Lectures 1 - 4 uploaded. Click on 'Lecture Notes' above. 6th May 2004: Questions for Problems Class 7 and Problems Class 8 posted. Solutions for Problems Class 7 posted. Click on 'Problems Classes' above.

75. Mathematics And Its Applications
    The Gibbs Phenomenon in fourier analysis, Splines and Wavelet Approximations Abdul J. Jerri Clarkson University KLUWER ACADEMIC PUBLISHERS DORDRECHT/BOSTON  
    http://www.clarkson.edu/~jerria/solnman/gibbs.html

76. Fourier Analysis And Number Theory
    fourier analysis and number theory. In this page we consider a range of material which involves fourier analysis in a number theoretical setting.  
    http://www.maths.ex.ac.uk/~mwatkins/zeta/NTfourier.htm
    
    Extractions: [reproduced from Brian Conrey's survey article on the Riemann hypothesis Notices of the AMS (2003), p. 346] The above graph illustrates a Fourier-type duality relation between the prime numbers and the zeros of the Riemann zeta function . The function depicted is the Fourier transform of the error term in the Prime Number Theorem , and the visible spikes correspond to the imaginary parts of the zeta zeros. This Fourier-type duality is most clearly expressed mathematically by the Riemann-Weil explicit formula . What is most interesting, and least understood, about this situation is the fact that the structure of the explicit formula is mirrored by certain dynamical trace formulae The first instance of this to be observed involved the Selberg trace formula (discovered in the 1950's) which concerns the geodesic flow on a Riemann surface, relating its periodic orbits and its energy levels, i.e. eigenvalues of the Laplace-Beltrami operator. Here the orbits correspond to the primes and the energy levels to the Riemann zeta zeros. The latter correspondence lends credence to the spectral interpretation of the Riemann zeta function , and the overall situation suggests the existence of some kind of mysterious dynamical system underlying (or "lurking behind" as N. Snaith put it in

77. Math 750, Fall 2002
    MATH 750 fourier analysis Fall 2002 Professor Robert Sharpley Meets MWF 1115-1205 in LeConte College 316. Instructor Information  
    http://www.math.sc.edu/~sharpley/math750/
    
    Extractions: Fourier series of periodic functions and the Fourier transform on the line: representation of functions, i.e. convergence and divergence (point-wise sense, in the norms of various function spaces, and almost everywhere), convergence of Fejer means and summability; Parseval's relation and the square summable theory; conjugate Fourier series, the conjugate function and the Hilbert transform, the Hardy-Littlewood maximal operator, the Riesz-Thorin and Marcinkiewicz interpolation theorems, function spaces, Riesz' theorem.

78. MA496 Signal Processing, Fourier Analysis And Wavelets
    MA496, Signal Processing, fourier analysis and Wavelets, 18 CATS. Status Not in PYDC in 20032004. This course may not be available  
    http://www.maths.warwick.ac.uk/undergrad/pydc/mauve/mauve-MA496.html
    
    Extractions: Signal Processing, Fourier Analysis and Wavelets 18 CATS Status : Not in PYDC in 2003-2004. This course may not be available this year, or may only be available by special arrangement. Section: Choose a section Front Page Introduction MMath MSc MA4xx Modules MA5xx Modules MA6xx Modules Search PYDC: See also: Location of

79. Fourier Analysis Of Neural Data
    fourier analysis of Neural Data. Introduction. On December 21, 1807 a young Why use fourier analysis? A ubiquitous feature of Neural Systems  
    http://www-users.york.ac.uk/~dh20/Fourier1.html
    
    Extractions: On December 21, 1807 a young French engineer addressed the eminent mathematicians of the French Academy, and made what seemed like an incredible claim. He stated that any arbitrary function, defined over a finite interval, could be represented as an infinite summation of cosine and sine functions. This claim was disputed by the members of the Academy, and it was some time before it was accepted for what it was - one of the major advances in Mathematics, now known as Fourier's theorem, named after it's originator: Jean Baptiste Joseph de Fourier (1768-1830). A ubiquitous feature of Neural Systems is the presence of Noise at all levels, from single ion channels through to fluctuations in our movements. The presence of such stochastic elements necessitates the use of a Statistical Signal Processing framework. Part of my research work has been the development of a multivariate Fourier based framework for the analysis of neural data - both spike train and time series. This framework provides a powerful rigorous, statistical framework within which to characterize linear and non-linear interactions between stochastic signals. In recent years there has been an increased use of spectral methods for the analysis of neural data, both spike train and time series data. Since the basis of this framework is the decomposition of signals into constituent frequency components - these methods are particularly suited for the analysis of rhythmic neural activity, and oscillatory neural systems.

80. An Introduction To Fourier Theory
    Linear transforms, especially fourier and Laplace transforms, are widely used in solving problems The fourier transform is used in linear systems analysis, antenna studies, optics  
    http://aurora.phys.utk.edu/~forrest/papers/fourier
    
    Extractions: by Forrest Hoffman This paper is also available in DVI , and PostScript Linear transforms, especially Fourier and Laplace transforms, are widely used in solving problems in science and engineering. The Fourier transform is used in linear systems analysis, antenna studies, optics, random process modeling, probability theory, quantum physics, and boundary-value problems ( Brigham , 2-3) and has been very successfully applied to restoration of astronomical data ( Brault and White ). The Fourier transform, a pervasive and versatile tool, is used in many fields of science as a mathematical or physical tool to alter a problem into one that can be more easily solved. Some scientists understand Fourier theory as a physical phenomenon, not simply as a mathematical tool. In some branches of science, the Fourier transform of one function may yield another physical function ( Bracewell The Fourier transform , in essence, decomposes or separates a waveform or function into sinusoids of different frequency which sum to the original waveform. It identifies or distinguishes the different frequency sinusoids and their respective amplitudes (

61-80 of 95    Back | 1  | 2  | 3  | 4  | 5  | Next 20