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General algebra, particularly non-commutative algebra, is poised for major breakthroughs in the twenty-first century, alongside combinatorics, topology, analysis, and probability. This second volume of \"Algebras, Rings and Modules: Non-commutative Algebras and Rings\" by M. Hazewinkel and N. Gubarenis is a continuation of the first volume, focusing on the most important recent results on advanced topics of the structural theory of associative algebras, rings, and modules.\u003cbr\u003e\u003cbr\u003eAlgebras, rings, and modules are mathematical structures that represent and manipulate mathematical objects. They provide a framework for understanding and solving problems in various fields, including algebra, geometry, number theory, and physics. Algebras are sets with operations that combine elements to form new elements, while rings are sets with operations that combine elements to form a group. Modules are sets with additional structures that allow for the representation of mathematical objects in different ways.\u003cbr\u003e\u003cbr\u003eOne of the key challenges in algebra is the study of associative algebras, which are algebras that satisfy certain properties. Associative algebras are used in a wide range of applications, including quantum mechanics, computer science, and engineering. Non-commutative algebra is a branch of algebra that studies algebras that are not commutative, meaning that the order of operations matters. Non-commutative algebra has been used to solve many difficult problems in mathematics, including the classification of finite simple groups and the study of quantum entanglement.\u003cbr\u003e\u003cbr\u003eTopology is a branch of mathematics that studies the properties of spaces that are not Euclidean. Topology has been used to solve many problems in physics, including the study of black holes and the theory of relativity. Analysis is a branch of mathematics that studies the properties of functions and sequences. Analysis has been used to solve many problems in mathematics, including the study of differential equations and the theory of probability. Probability is a branch of mathematics that studies the probability of events occurring. Probability has been used to solve many problems in mathematics, including the study of gambling and the design of computer algorithms.\u003cbr\u003e\u003cbr\u003eIn recent years, there have been significant advances in the theory of algebras, rings, and modules. These advances have been driven by the development of new techniques and the application of these techniques to a wide range of problems. For example, the study of associative algebras has been revolutionized by the development of the theory of category theory, which provides a powerful framework for studying the structure of algebras. 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Drawing upon the principles of classical mechanics, the book systematically reveals the laws governing observed electric and magnetic phenomena. The culmination of the text is Maxwell's Equations, which, despite consisting of only four equations, provide a complete description of all physical aspects of electromagnetism. The specific topics covered in Electricity and Magnetism include electric force, field, and potential, Gauss's Law for Electric Fields, capacitance and networks of capacitors, electric current, resistance and networks of resistors, Kirchoff's Rules, steady state and time-dependent DC circuit dynamics, magnetic force and field, production of magnetic fields, Ampère's Law, Gauss's Law for Magnetic Fields, Faraday's Law, induction and inductance, AC-driven circuit dynamics and energetics, and Maxwell's Equations and their plane-wave vacuum solutions. This text builds upon the rigorous calculus-based introduction to classical physics introduced in Elements of Mechanics and can be studied independently of the second volume, Properties of Materials. With over four hundred and fifty problems included, it serves as a primary textbook in an introductory physics course, as a student supplement, or as an exam review for graduate or professional studies.\u003c\/p\u003e\u003cp\u003e                            \u003cstrong\u003eWeight\u003c\/strong\u003e: 776g                            \u003cbr\u003e\u003cstrong\u003eDimension\u003c\/strong\u003e: 254 x 178 (mm)                            \u003cbr\u003e\u003cstrong\u003eISBN-13\u003c\/strong\u003e: 9780367783693                                                      \u003c\/p\u003e","brand":"P.F. 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It then delves into the study of discrete and continuous-time chaotic dynamical systems, covering topics such as stability, bifurcations, and strange attractors.\u003cbr\u003e\u003cbr\u003eFurthermore, the book showcases the state-of-the-art of more advanced studies of chaotic dynamical systems. It discusses recent developments, such as chaotic synchronization, complex dynamics, and applications in engineering, physics, and biology. Each chapter is authored by renowned experts in the field, ensuring that the content is both authoritative and up-to-date.\u003cbr\u003e\u003cbr\u003eWhether you are a student, researcher, or professional seeking to expand your knowledge in this exciting area, this book is an essential tool. It offers a comprehensive and accessible introduction to the theory of chaotic systems, providing a solid foundation for further exploration and application. 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It is designed for students, CAD system developers, basic scientists, and physician scientists, providing a level of understanding that is suitable for all levels of expertise. \u003c\/blockquote\u003e\u003cp\u003e                                                            \u003cstrong\u003eFormat\u003c\/strong\u003e: Paperback \/ softback\u003cbr\u003e                              \u003cstrong\u003eLength\u003c\/strong\u003e: 446 pages\u003cbr\u003e                              \u003cstrong\u003ePublication date\u003c\/strong\u003e: 31 March 2021\u003cbr\u003e                              \u003cstrong\u003ePublisher\u003c\/strong\u003e: Taylor \u0026amp; Francis Ltd\u003cbr\u003e                          \u003c\/p\u003e \u003cp\u003e\u003cbr\u003eDespite the significant advancements in the field of Computer-Aided Detection (CAD) over the past few decades, there is currently no single comprehensive book dedicated to the development and practical application of CAD systems. 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This book covers topics such as Electromagnetic waves and lasers, THz radiation using semiconducting materials, Surface plasmon resonance, THz radiation detection, Particle acceleration technologies, X-ray lasers, High harmonics and attosecond lasers, Laser-based techniques of thermonuclear fusion, and Controlled fusion devices. It is expected to have a pre-eminent potential for researchers and students. \u003c\/blockquote\u003e\u003cp\u003e                                                            \u003cstrong\u003eFormat\u003c\/strong\u003e: Hardback\u003cbr\u003e                              \u003cstrong\u003eLength\u003c\/strong\u003e: 332 pages\u003cbr\u003e                              \u003cstrong\u003ePublication date\u003c\/strong\u003e: 15 March 2021\u003cbr\u003e                              \u003cstrong\u003ePublisher\u003c\/strong\u003e: Taylor \u0026amp; Francis Ltd\u003cbr\u003e                          \u003c\/p\u003e \u003cp\u003e\u003cbr\u003eThe fascinating interplay between high-power lasers and matter has the potential to unlock a world of groundbreaking discoveries. By generating Terahertz (THz) radiations, these laser-matter interactions offer a powerful tool for THz Time-Domain Spectroscopy, surpassing the capabilities of X-rays in medical and security applications. When a short, intense laser pulse ionizes a gas, it triggers the production of new frequencies, ranging from the violet to the extreme ultraviolet (VUV to XUV) domain. This remarkable phenomenon allows for the study of electronic re-arrangement and ultrafast processes with unprecedented precision.\u003cbr\u003e\u003cbr\u003eMoreover, the field of laser-matter interaction extends to laser thermonuclear fusion control, where accelerated particles find efficient utilization. This book serves as a comprehensive resource, covering a wide range of essential topics. It delves into the realm of electromagnetic waves and lasers, exploring the generation, manipulation, and applications of THz radiation using semiconducting materials, nanostructures, gases, plasmas, surface plasmon resonance, THz radiation detection, particle acceleration technologies, X-ray lasers, high harmonics, and attosecond lasers. 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Its comprehensive coverage and insightful analysis will undoubtedly contribute to the advancement of our understanding of laser-matter interactions and their applications in various fields.\u003c\/p\u003e\u003cp\u003e                            \u003cstrong\u003eWeight\u003c\/strong\u003e: 822g                            \u003cbr\u003e\u003cstrong\u003eDimension\u003c\/strong\u003e: 184 x 261 x 26 (mm)                            \u003cbr\u003e\u003cstrong\u003eISBN-13\u003c\/strong\u003e: 9781138032033                                                      \u003c\/p\u003e","brand":"Hitendra K.Malik","offers":[{"title":"Hardback","offer_id":44104626045178,"sku":"9781138032033","price":161.84,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/products\/7d9068097d11fb356d5d3c0346650221.jpg?v=1620908389"},{"product_id":"formulations-of-general-relativity-gravity-spinors-and-differential-forms","title":"Formulations of General Relativity: Gravity, Spinors and Differential Forms","description":"\u003cp\u003e\u003c\/p\u003e\u003cblockquote\u003eThis monograph provides a comprehensive review of Einstein's General Theory of Relativity, focusing on Cartan's geometry of fiber bundles and differential forms. 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It is suitable for graduate students and researchers in theoretical physics and differential geometry. \u003c\/blockquote\u003e\u003cp\u003e                                                            \u003cstrong\u003eFormat\u003c\/strong\u003e: Hardback\u003cbr\u003e                              \u003cstrong\u003eLength\u003c\/strong\u003e: 404 pages\u003cbr\u003e                              \u003cstrong\u003ePublication date\u003c\/strong\u003e: 26 November 2020\u003cbr\u003e                              \u003cstrong\u003ePublisher\u003c\/strong\u003e: Cambridge University Press\u003cbr\u003e                          \u003c\/p\u003e \u003cp\u003eThis monograph delves into the intricate formulations of Einstein's General Theory of Relativity, offering a fresh perspective that places Cartan's geometry of fiber bundles and differential forms at the forefront. A comprehensive review of differential geometry is presented, providing a solid foundation for understanding the theory. 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This proof is a critical contribution to mathematical physics and dynamical systems, especially Hamiltonian systems. \u003c\/blockquote\u003e\u003cp\u003e\\n                                                            \u003cstrong\u003eFormat\u003c\/strong\u003e: Paperback \/ softback\u003cbr\u003e\\n                              \u003cstrong\u003eLength\u003c\/strong\u003e: 224 pages\u003cbr\u003e\\n                              \u003cstrong\u003ePublication date\u003c\/strong\u003e: 03 November 2020\u003cbr\u003e\\n                              \u003cstrong\u003ePublisher\u003c\/strong\u003e: Princeton University Press\u003cbr\u003e\\n                          \u003c\/p\u003e \u003cp\u003e\u003cbr\u003eArnold diffusion, a fundamental issue in dynamical systems and mathematical physics, has garnered significant attention since its discovery by Vladimir Arnold in 1963. This problem revolves around the emergence of chaos in classical mechanics. 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