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Geometric Applications of Fourier and Spherical Harmonics: An Encyclopedia of Mathematical Insights

Andy Hayes

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Published in Geometric Applications Of Fourier And Spherical Harmonics (Encyclopedia Of Mathematics And Its Applications 61)

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Delving into the Realm of Geometry, Analysis, and Applications

Prepare to be captivated by "Geometric Applications of Fourier and Spherical Harmonics", an exceptional encyclopedia that bridges the worlds of geometry, analysis, and diverse applications. This comprehensive volume serves as an invaluable resource for mathematicians, physicists, engineers, and anyone seeking to delve into the profound connections between these fields.

Geometric Applications of Fourier and Spherical Harmonics (Encyclopedia of Mathematics and its Applications 61)

Geometric Applications of Fourier Series and Spherical Harmonics (Encyclopedia of Mathematics and its Applications Book 61)

by Xianping Guo

5 out of 5

Language	:	English
File size	:	16711 KB
Screen Reader	:	Supported
Print length	:	344 pages

Unleashing the Power of Fourier Analysis

Fourier analysis, a cornerstone of mathematical analysis, plays a pivotal role in this encyclopedia. Fourier transforms provide a powerful tool for representing functions as a sum of sinusoidal components, enabling the analysis of complex signals and patterns. Through Fourier analysis, you will gain a deeper understanding of:

Signal processing and image analysis
Heat transfer and diffusion
Quantum mechanics and wave phenomena

Exploring the Enchanting World of Spherical Harmonics

Spherical harmonics, a set of special functions defined on the unit sphere, offer a profound mathematical framework for describing angular distributions. In this encyclopedia, you will delve into the captivating properties of spherical harmonics and their applications in:

Quantum mechanics and atomic physics
Geophysics and Earth sciences
Computer graphics and image processing

Unveiling the Interplay of Geometry and Applications

"Geometric Applications of Fourier and Spherical Harmonics" goes beyond theoretical foundations, showcasing the practical applications of these mathematical tools in diverse fields. You will discover how Fourier analysis and spherical harmonics empower researchers and practitioners in:

Medical imaging and tomography
Seismic exploration and geophysics
Electromagnetic theory and antenna design
Computer vision and pattern recognition

An Invaluable Resource for Experts and Enthusiasts Alike

Whether you are a seasoned mathematician seeking to delve deeper into the intricacies of Fourier and spherical harmonics, a physicist or engineer seeking to master new analytical techniques, or an enthusiast captivated by the beauty of geometry, this encyclopedia is an indispensable resource.

With its comprehensive coverage, meticulous organization, and insightful explanations, "Geometric Applications of Fourier and Spherical Harmonics" empowers you to:

Expand your knowledge of Fourier analysis and spherical harmonics
Gain a deeper understanding of their interconnections and applications
Unleash the power of these mathematical tools in your own research and practice

Embark on a Mathematical Odyssey

Join the ranks of scholars, researchers, and practitioners who have found enlightenment within the pages of "Geometric Applications of Fourier and Spherical Harmonics". Let this encyclopedia be your guide as you embark on a mathematical odyssey, unlocking the secrets of geometry, analysis, and their countless applications.

Acquire your copy today and commence your journey into the captivating realm of Fourier and spherical harmonics.

Geometric Applications Of Fourier And Spherical Harmonics Encyclopedia Geometric Applications Of Fourier And Spherical Harmonics (Encyclopedia Of Mathematics And Its Applications 61)