Group Representations Theory for Everyone

Pasquale De Marco

Sinossi

Embark on a captivating journey into the world of group theory with this comprehensive guide, designed to make this fascinating subject accessible to students, enthusiasts, and professionals alike.

In this book, you will delve into the fundamental concepts of group theory, exploring the intricacies of group operations, subgroups, and cosets. Discover the profound connections between group theory and symmetry, unraveling the symmetries hidden within objects and patterns.

As you progress, you will encounter group homomorphisms and isomorphisms, gaining insights into the relationships between different groups. Explore permutation groups, the cornerstone of coding theory and combinatorics, and unravel the intricacies of abelian groups, with their applications in number theory and algebraic topology.

Uncover the mysteries of finite group theory, delving into Sylow theorems and their implications for group structure. Investigate the fascinating world of group representations, matrix representations, and character theory, unlocking their significance in quantum mechanics, physics, and computer science.

Delve into the diverse applications of group theory in physics, including its pivotal role in quantum mechanics, solid-state physics, and cosmology. Witness the power of group theory in computer science, as it finds applications in coding theory, cryptography, computational group theory, artificial intelligence, and robotics.

With numerous examples, exercises, and illustrations peppered throughout, this book provides an immersive and engaging learning experience. Written in a clear and conversational style, it caters to readers of all backgrounds, making group theory accessible and enjoyable for everyone.

Whether you're a student seeking a comprehensive introduction to group theory, an enthusiast eager to deepen your understanding, or a professional seeking to expand your knowledge, this book is your ultimate companion. Dive into the captivating world of group theory and unveil its profound connections to various fields, transforming your understanding of mathematics and its applications.

If you like this book, write a review!

Disponibile da: 02/06/2025.

Lunghezza di stampa: 161 pagine.

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