Le opere. Volume ultimo
Автор: Vittorio Alfieri
Год издания:
Полный вариант заголовка: «Le opere di Vittorio Alfieri Volume ultimo (последн.)».
A Classical Introduction to Galois Theory
Автор: Stephen Newman C.
Год издания:
Explore the foundations and modern applications of Galois theory Galois theory is widely regarded as one of the most elegant areas of mathematics. A Classical Introduction to Galois Theory develops the topic from a historical perspective, with an emphasis on the solvability of polynomials by radicals. The book provides a gradual transition from the computational methods typical of early literature on the subject to the more abstract approach that characterizes most contemporary expositions. The author provides an easily-accessible presentation of fundamental notions such as roots of unity, minimal polynomials, primitive elements, radical extensions, fixed fields, groups of automorphisms, and solvable series. As a result, their role in modern treatments of Galois theory is clearly illuminated for readers. Classical theorems by Abel, Galois, Gauss, Kronecker, Lagrange, and Ruffini are presented, and the power of Galois theory as both a theoretical and computational tool is illustrated through: A study of the solvability of polynomials of prime degree Development of the theory of periods of roots of unity Derivation of the classical formulas for solving general quadratic, cubic, and quartic polynomials by radicals Throughout the book, key theorems are proved in two ways, once using a classical approach and then again utilizing modern methods. Numerous worked examples showcase the discussed techniques, and background material on groups and fields is provided, supplying readers with a self-contained discussion of the topic. A Classical Introduction to Galois Theory is an excellent resource for courses on abstract algebra at the upper-undergraduate level. The book is also appealing to anyone interested in understanding the origins of Galois theory, why it was created, and how it has evolved into the discipline it is today.
Galois Theory
Автор: David Cox A.
Год издания:
Praise for the First Edition «. . .will certainly fascinate anyone interested in abstract algebra: a remarkable book!» —Monatshefte fur Mathematik Galois theory is one of the most established topics in mathematics, with historical roots that led to the development of many central concepts in modern algebra, including groups and fields. Covering classic applications of the theory, such as solvability by radicals, geometric constructions, and finite fields, Galois Theory, Second Edition delves into novel topics like Abel’s theory of Abelian equations, casus irreducibili, and the Galois theory of origami. In addition, this book features detailed treatments of several topics not covered in standard texts on Galois theory, including: The contributions of Lagrange, Galois, and Kronecker How to compute Galois groups Galois's results about irreducible polynomials of prime or prime-squared degree Abel's theorem about geometric constructions on the lemniscates Galois groups of quartic polynomials in all characteristics Throughout the book, intriguing Mathematical Notes and Historical Notes sections clarify the discussed ideas and the historical context; numerous exercises and examples use Maple and Mathematica to showcase the computations related to Galois theory; and extensive references have been added to provide readers with additional resources for further study. Galois Theory, Second Edition is an excellent book for courses on abstract algebra at the upper-undergraduate and graduate levels. The book also serves as an interesting reference for anyone with a general interest in Galois theory and its contributions to the field of mathematics.
Security Aspects of Uni- and Multimodal Hazmat Transportation Systems
Автор: Группа авторов
Год издания:
Written in a clear language, for use by scholars, managers and decisionmakers, this practical guide to the hot topic is unique in treating the security aspects of hazmat transportation from both uni-modal and multi-modal perspectives. To begin with, each transport mode and its relation to security vulnerability, analyses, figures, and approaches is discussed separately. Secondly, the optimization process of a hazmat supply chain is examined from a holistic, integrated viewpoint. Finally, the book discusses and compares the various hazmat transport security policies and strategies adopted in various regions around the world. The result is a must-have source of high-quality information including many case studies.
Multi-Gigabit Transmission over Multimode Optical Fibre
Автор: Группа авторов
Год издания:
Multi-Gigabit Transmission over Multimode Optical Fibre presents a system design approach to single-wavelength laser-based multimode optical fibre transmission systems, operating at multi-gigabit data rates. The first part of the book focuses on theoretical issues, covering close-form mathematical modelling of multimode fibre behaviour, with special attention on the impulse response. Part two presents a modular system modelling approach discussing its features, applications, and limitations. The author gives a detailed discussion of the Electronic Dispersion Compensator implemented using the Decision Feedback Equalizer technique. In addition, pioneering laboratory measurements of 10GbE over several hundreds of meters of legacy multimode fibres are presented in a systematic context for the first time. Multi-Gigabit Transmission over Multimode Optical Fibre: Provides a comprehensive guide to single-wavelength laser-based multimode optical fibre transmission systems, covering physics, systems and networks. Covers the theory, modelling and design criteria of high speed and multimode fibre optic communication systems. Explains waveguide theories, opto-electronic devices and system design. Offers a self-contained description of the optical pulse propagation theory. Discusses Electronic Dispersion Compensation technique as the most efficient mitigation of the multimode pulse dispersion. Multi-Gigabit Transmission over Multimode Optical Fibre will be an essential resource for R&D engineers and system designers, as well as advanced undergraduate and postgraduate students in the area of telecommunications and networking.
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