Haijun Tan – författare
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2 produkter
2 produkter
Häftad, Engelska, 2021
1 009 kr
Skickas inom 5-8 vardagar
Group Theory is intended as a textbook for a one-term course in group theory for senior undergraduate or graduate students. It provides students with good insight into group theory as quickly as possible. Simplicity and working knowledge are emphasized here over mathematical completeness. This book will provide a rigorous proof-based modern treatment of the main results of group theory. As a result, proofs are in great details with a lot of interesting examples.This book can also serve as a reference for professional mathematicians. The book contains 221 carefully selected exercises of varying difficulty which will allow students to practice their own computational and proof-writing skills. Sample solutions to some exercise questions are provided, from which students can learn to write their own solutions and proofs. Besides standard ones, many of the exercises are very interesting.Group Theory includes:basic properties of groupssymmetric groups and alternating groupsisomorphism theorems, commutator subgroups, direct and semi-direct products of groupsgroup action on sets, Cauchy-Frobenius Lemma, symmetries of the regular polyhedronsJordan-Holder Theorem and Sylow Theoremsfree groups, group presentations, finitely generated abelian groupssolvable groups, Hall subgroups, characteristically simple groups, Sylow systems and Sylow basesnilpotent groups, Frattini subgroupsbasic properties of representations of groups on vector spaces, subrepresentations; irreducibility, Schur's Lemma, and Maschke's Theorem
Inbunden, Engelska, 2026
1 669 kr
Kommande
This book provides a comprehensive exploration of stochastic processes and their critical applications in enhancing physical layer security for modern communication systems. The book uniquely focuses on the intersection of advanced mathematical models and cutting-edge security techniques, making complex concepts accessible and practical for real-world applications. The book first presents a comprehensive theoretical study of stochastic processes and their applications in physical layer security. Guided by these theoretical foundations, the authors then offer practical design strategies to enhance the performance of communication systems and facilitate their implementation. The book equips researchers, engineers, and security professionals with the knowledge and tools to tackle contemporary challenges. By bridging the gap between theory and practice, the authors ensure that readers can implement effective security measures in the ever-evolving landscape of modern communications.Comprehensively clarifies stochastic process concepts including convergence modes, resolving nomenclature confusion across different textbooks that frequently obscures fundamental understanding;Specializes in physical layer security applications, offering cutting-edge strategies beyond traditional encryption methods;Combines principles from probability theory, information theory, and communication systems for a comprehensive view.