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A New Twist to Fourier Transforms
Making use of the inherent helix in the Fourier transform expression, this book illustrates both Fourier transforms and their properties in the round. The author draws on elementary complex algebra to manipulate the transforms, presenting the ideas in such a way as to avoid pages of complicated mathematics.
preview: http://www.amazon.com   date: 4/2/2004

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Contributions To Fourier Analysis
In the theory of convergence and summability whether for ordinary Fourier series or other expansions emphasis is placed on the phenomenon of localization whenever such occurs, and in the present paper a certain aspect of this phenomenon will be studied for the problem of best approximation as well.
preview: http://www.amazon.com   date: 3/15/2007

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Fourier Analysis and Its Applications
Text presents basic ideas in Fourier analysis and its applications to the study of partial differential equations. Covers the Laplace and Zeta transformations and the fundamentals of their applications. For students who have studied real calculus and linear algebra, and who are familiar with complex numbers and uniform convergence.
preview: http://www.amazon.com   date: 7/1/2005

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Fourier Transformation for Pedestrians (Fourier Series)
Meant to serve an 'entertaining textbook,' this book belongs to a rare genre. It is written for all students and practitioners who deal with Fourier transformation. Fourier series as well as continuous and discrete Fourier transformation are covered, and particular emphasis is placed on window functions. Many illustrations and easy-to-solve exercises make the book especially accessible, and its humorous style will add to the pleasure of...
preview: http://www.amazon.com   date: 12/15/2005

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Mathematical Methods for Engineers and Scientists 3: Fourier Analysis
Pedagogical insights gained through 30 years of teaching applied mathematics led the author to write this set of student oriented books. Topics such as complex analysis, matrix theory, vector and tensor analysis, Fourier analysis, integral transforms, ordinary and partial differential equations are presented in a discursive style that is readable and easy to follow. Numerous clearly stated, completely worked out examples together with...
preview: http://www.amazon.com   date: 1/2/2007

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Mathematics of the Discrete Fourier Transform (DFT) WIth Audio Applications
The Discrete Fourier Transform (DFT) can be understood as a numerical approximation to the Fourier transform. However, the DFT has its own exact Fourier theory, which is the main focus of this book. The DFT is normally encountered in practice as the Fast Fourier Transform (FFT)--a high-speed algorithm for computing the DFT. The FFT is used extensively in a wide range of digital signal processing applications, including spectrum analysis,...
preview: http://ccrma.stanford.edu   date: 1/1/2003

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Mathematics of the Discrete Fourier Transform (DFT): with Audio Applications
Mathematics of the DFT presents a detailed derivation of the Discrete Fourier Transform (DFT) and its associated mathematics, beginning at the high-school level (assuming some calculus exposure). Starting with an introduction to complex numbers, the book derives Euler's identity, complex sinusoids, signal projection, and the DFT itself. Next, especially useful Fourier theorems are introduced and derived, followed by a concluding chapter on...
preview: http://www.amazon.com   date: 4/27/2007