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A First Course in Fourier Analysis

✍ Scribed by David W. Kammler

Year: 2008
Tongue: English
Leaves: 863
Edition: 2
Category: Library

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✦ Synopsis

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.

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A First Course in Fourier Analysis

📁 A First Course in Fourier Analysis

✍ David W. Kammler 📂 Library 📅 2007 🏛 Cambridge University Press 🌐 English

I'm an electrical engineer, with a focus in signal processing. This is the book I learned Fourier analysis from, and once I did, the classes that EEs usually dread were relatively easy for me. This is the only textbook I actually read every chapter of (and we only covered the first half in the Fou

A First Course in Fourier Analysis

📁 A First Course in Fourier Analysis

✍ David W. Kammler 📂 Library 📅 2008 🏛 Cambridge University Press 🌐 English

I'm an electrical engineer, with a focus in signal processing. This is the book I learned Fourier analysis from, and once I did, the classes that EEs usually dread were relatively easy for me. This is the only textbook I actually read every chapter of (and we only covered the first half in the Fou

A First Course in Fourier Analysis

📁 A First Course in Fourier Analysis

✍ David W. Kammler 📂 Library 📅 2008 🌐 English

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 mathemati

A First Course in Fourier Analysis

📁 A First Course in Fourier Analysis

✍ Kammler, David W 📂 Library 📅 2008 🏛 Cambridge University Press 🌐 English

A First Course in Fourier Analysis

📁 A First Course in Fourier Analysis

✍ David W. Kammler 📂 Library 📅 2008 🏛 Cambridge University Press 🌐 English

<span>This 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 mathematic

A first course in fourier analysis

📁 A first course in fourier analysis

✍ David W. Kammler 📂 Library 📅 2007 🏛 Cambridge University Press 🌐 English

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 mathemati