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Fourier Transforms: Principles and Applications

ISBN

9781632386786

Publisher

NY Research Press

Language

English

Publication Year

2019

Category

Engineering & Technology

Pages

201

Price

146 $

Description

The Fourier transform is an important area of mathematics. It is an extension of the Fourier series, in which all periodic functions are expressed as the sum of sine and cosine wave functions. The Fourier transform is relevant when the time period of a represented function approaches infinity. This mathematical tool decomposes a signal, which is a function of time, into its constituent frequencies. The basic properties of the Fourier transform are linearity, invertibility and periodicity, etc. Fourier transforms have applications in solving differential equations, in quantum mechanics and signal processing. Besides these, it is of great significance in spectroscopy, especially nuclear magnetic resonance, magnetic resonance imaging and mass spectroscopy. This book provides comprehensive insights into the principles and applications of Fourier transforms. Different approaches, evaluations, methodologies and advanced studies on Fourier transforms have been included in this book. Coherent flow of topics, student-friendly language and extensive use of examples make this book an invaluable source of knowledge.