Groups and group theory
This category delves into the foundational concepts of group theory, a vital area in abstract algebra that studies mathematical structures known as groups. Ideal for students, educators, and math enthusiasts, these books explore the properties and applications of groups, fostering a deeper understanding of symmetry and structure in both mathematics and science. Comprehensive resources are provided, catering to various skill levels from introductory to advanced topics.
An Introduction to the Theory of Groups
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Group Theory in a Nutshell for Physicists
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Weighted Complete Intersections
Victor V. Przyjalkowski, Constantin Shramov
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Complex Engineering Systems - Modeling and Optimization Multi-Objective Analysis and Smart Manufacturing Applications
Satyvir Singh, Mukesh Kumar Awasthi
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The Maple® O.D.E. Lab Book
Darren Redfern, Edgar Chandler
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Finite Geometries: Reprint of the 1968 Edition
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Non-Commutative Harmonic Analysis and Lie Groups: Proceedings of the International Conference Held in Marseille-Luminy, June 24-29, 1985
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A Compactification of the Bruhat-Tits Building
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Geometries and Groups
Viacheslav V. Nikulin, Igor R. Shafarevich
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Cyclic Renormalization and Automorphism Groups of Rooted Trees
Daniel Rockmore, Hyman Bass, Charles Tresser, Maria V. Otero-Espinar
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Symbolic Dynamics and Hyperbolic Groups
Michel Coornaert, Athanase Papadopoulos
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Topics in Combinatorial Group Theory
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Automorphic Forms on Semisimple Lie Groups
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Seminar on Algebraic Groups and Related Finite Groups: Held at the Institute for Advanced Study, Princeton/NJ, 1968/69
R. W. Carter, Armand Borel, T. A. Springer, Robert Steinberg, Nagayoshi Iwahori, Charles W. Curtis
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Automorphic Forms on GL (2): Part 2
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Group Analysis of Classical Lattice Systems
D. Merlini, C. Gruber, A. Hintermann
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Abelian Group Theory: Proceedings of the 2nd New Mexico State University Conference, held at LasCruces, New Mexico, December 9 - 12, 1976
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Tau-Rings and Wreath Product Representations
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Euclidean Harmonic Analysis: Proceedings of Seminars Held at the University of Maryland, 1979
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Harmonic Analysis 1978: Proceedings of a Conference Held at the University of Crete, Iraklion, Greece, July 1978
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Groups, Trees and Projective Modules
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Dirichlet Integrals on Harmonic Spaces
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Burnside Groups: Proceedings of a Workshop Held at the University of Bielefeld, Germany, June-July 1977
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Category „Groups and group theory“
Delve into the fascinating world of Groups and Group Theory, a cornerstone of abstract algebra that has significant implications across various fields of mathematics, science, and beyond. This category is ideal for students, educators, and enthusiasts who wish to explore the structure and symmetry inherent in mathematical systems. Group theory not only provides a framework for understanding symmetry in objects but also plays a crucial role in diverse areas such as physics, chemistry, and even cryptography.
The exploration of groups dates back to the early 19th century, with pioneers like Évariste Galois laying the groundwork for modern algebra. Over time, this discipline has evolved, revealing intricate connections with geometry and number theory, making it a vital component of any mathematician's toolkit. Those intrigued by the logical reasoning and problem-solving aspects of mathematics will find that group theory offers both challenges and rewards.
Readers will find a wide range of resources available in this category, from introductory texts for beginners to advanced treatises that delve deeply into specific applications and theoretical advancements. An understanding of groups can enhance one’s comprehension of mathematical structures and offer insights into the nature of symmetry, ultimately enriching the reader’s perspective on mathematics as a whole.
In addition to classical works, contemporary authors and publishers continually contribute to this field, presenting new findings and perspectives that keep the subject vibrant and relevant. Whether searching for a foundational text or the latest research, this category serves as a comprehensive source of knowledge for anyone eager to learn more about Groups and Group Theory.