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A First Course in Fourier Analysis

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This unique book provides a meaningful resource for applied mathematics through Fourier analysis. It develops a unified theory of discrete and continuous (univariate) Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets. The book contains an unusually complete presentation of the Fourier transform calculus. It uses concepts from calculus to present an elementary theory of generalized functions. FT calculus and generalized functions are then used to study the wave equation, diffusion equation, and diffraction equation. Real-world applications of Fourier analysis are described in the chapter on musical tones. A valuable reference on Fourier analysis for a variety of students and scientific professionals, including mathematicians, physicists, chemists, geologists, electrical engineers, mechanical engineers, and others.

Introducing applied mathematics through Fourier analysis, this book develops a unified theory of discrete and continuous Fourier analysis, the fast Fourier transform, and a powerful elementary theory of generalized functions and shows how these mathematical ideas can be used to study sampling theory, PDEs, probability, diffraction, musical tones, and wavelets.
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Intelligent Databases: Technologies and Applications
Intelligent Databases: Technologies and Applications
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Engineering Optics with Matlab(r)
Engineering Optics with Matlab(r)
This invaluable textbook serves two purposes. The first is to introduce some traditional topics such as matrix formalism of geometrical optics, wave propagation and diffraction, and some fundamental background on fourier optics. The second is to present the essentials of acousto-optics and electro-optics, and provide the students with experience...
Enterprise Information Systems Assurance and System Security: Managerial and Technical Issues
Enterprise Information Systems Assurance and System Security: Managerial and Technical Issues
Few topics in the information technology (IT) field today generate as much interest as
security. Interestingly, the IT world has been struggling with security issues for over 30
years, yet many security problems remain unsolved, unaddressed, and serious. As
those responsible for securing systems and networks address security issues
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Special Edition Using Mac OS X Leopard
Special Edition Using Mac OS X Leopard
SPECIAL EDITION USING MAC OS X LEOPARD

 

THE ONLY MAC OS X LEOPARD BOOK YOU NEED

 

We crafted this book to grow with you, providing the reference material you need as...

PlayStation®Mobile Development Cookbook
PlayStation®Mobile Development Cookbook

Over 65 recipes that will help you create and develop amazing mobile applications!

Overview

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  • Develop 2D games quickly and easily, complete with graphics, audio, and input
  • Discover how to...
Laser Surface Processing and Model Studies (Materials Forming, Machining and Tribology)
Laser Surface Processing and Model Studies (Materials Forming, Machining and Tribology)

This book introduces model studies associated with laser surface processing such as conduction limited heating, surface re-melting, Marangoni flow and its effects on the temperature field, re-melting of multi-layered surfaces, laser shock processing, and practical applications. The book provides insight into the physical processes involved...

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