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Unleashing the Power of Clifford Algebras - Pathways to Geometric Insights - cover

Unleashing the Power of Clifford Algebras - Pathways to Geometric Insights

Pasquale De Marco

Publisher: Publishdrive

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Summary

Embark on an intellectual journey into the captivating world of Clifford algebras, where mathematics, physics, and diverse fields converge to reveal profound insights and transformative applications. This comprehensive and engaging book unveils the hidden power of Clifford algebras, empowering readers to explore the intricate structures of geometry, unravel the symmetries of physics, and witness the elegance of their applications across disciplines.

Delve into the genesis of Clifford algebras, tracing their origins from complex numbers and quaternions to their emergence as a powerful framework for representing and manipulating geometric objects. Discover how Clifford algebras provide a unified language for describing points, lines, planes, and spheres, revealing their underlying relationships and unlocking new perspectives in geometry and topology.

Witness the profound impact of Clifford algebras in physics, where they have revolutionized our understanding of particles with spin, such as electrons and protons. Explore their role in unifying electromagnetism and general relativity, and delve into the depths of string theory, where Clifford algebras hold the key to unlocking the mysteries of the universe.

Uncover the versatility of Clifford algebras beyond mathematics and physics. Discover their applications in computer graphics, robotics, artificial intelligence, finance, music, and education. Learn how Clifford algebras streamline 3D transformations, enhance robot movements and perception, empower AI systems with more efficient learning and reasoning capabilities, and provide sophisticated tools for portfolio optimization and risk management.

Explore the frontiers of knowledge as Clifford algebras continue to inspire new discoveries and transformative technologies. Delve into the intricate beauty of Clifford algebras and embark on a journey of intellectual exploration that will reshape your understanding of the world around you. This book is an essential guide for mathematicians, physicists, computer scientists, engineers, and anyone seeking to unlock the potential of Clifford algebras in their fields of endeavor.


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Available since: 06/02/2025.
Print length: 165 pages.

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