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Books > Science & Mathematics > Physics > Classical mechanics > Elementary mechanics
Finite element methods have become essential design tools for managing the complex structures and devices needed in modern microwave technology. Long the preferred techniques of both researchers and engineers, their migration from research lab to routine industrial use has been accelerated by hardware and software improvements. The last decade has seen the widespread availability of good commercial finite element programs for an extensive range of applications. Finite Element Software for Microwave Engineering provides the first comprehensive overview of this burgeoning field. With its unique focus on current and future industrial applications rather than on mathematical methodology, this book is an invaluable complement to the existing literature on finite element methods. Directed to practicing engineers and researchers, the book describes user experience with current software, shows how existing programs can be used to solve problems not foreseen by their designers, and attempts to predict which methods may appear in the commercial products of tomorrow.
This book gives a comprehensive account of local quantum physics, understood as the synthesis of quantum theory with the principle of locality. Centered on the algebraic approach it describes both the physical concepts and the mathematical structures, and their consequences. These include the emergence of the particle picture, general collision theory covering the cases of massless particles and infraparticles, the analysis of possible charge structures and exchange symmetries, including braid group statistics. Thermal states of an unbounded medium and local equilibrium are discussed in detail. The author takes care both to describe the ideas and to give a critical assessment of future perspectives. The new edition contains numerous improvements and a new chapter concerning formalism and interpretation of quantum theory.
This textbook provides a simple introduction to mechanics for students coming to the subject for the first time. The text is based on courses given to first and second year undergraduates and has been written with this audience very much in mind. Prerequisites are only a basic familiarity with vectors, matrices, and elementary calculus. The author's aim is to provide an understanding of Newtonian mechanics using the tools of modern algebra. The first chapters of the book introduce the fundamentals of the motion of rigid bodies: Newton's laws, forces, linear and angular momentum, and the conservation of energy. In the later chapters the theory of Lagrangian mechanics is developed and extended to cover applications to impulsive forces. Throughout the theory is illustrated with many worked examples and numerous exercises (some with solutions) are provided.
This new book leads readers step-by-step through the complexities encountered as moving objects approach and cross the sound barrier. The problems of transonic flight were apparent with the very first experimental flights of scale-model rockets when the disastrous impact of shock waves and flow separations caused the aircraft to spin wildly out of control. Today many of these problems have been overcome, and this book offers an introduction to the transonic theory that has made possible many of these advances. The emphasis is on the most important basic approaches to the solution of transonic problems. The book also includes explanations of common pitfalls that must be avoided. An effort has been made to derive the most important equations of inviscid and viscous transonic flow in sufficient detail so that even novices may feel confident in their problem-solving ability. The use of computer approaches is reviewed, with references to the extensive literature in this area, while the critical shortcomings of an exclusive reliance on computational methods are also described. The book will be valuable to anyone who needs to acquire an understanding of transonic flow, including practicing engineers as well as students of fluid mechanics.
Mechanics is the first foundation for the study of physics. This book takes first-year undergraduates through an entertaining and instructive set of practical examples of the uses of mechanics. The author adopts a fresh approach which recognizes mechanics as an observational science, and uses worked examples that can be easily visualized and understood by the reader. By the end of the book students will have not only painlessly learned the principles of mechanics, but will have also obtained a good grasp of techniques needed for solving typical mechanics problems. They will also have covered all the essentials of a first-year university course in mechanics. The book can then be used as a reference of a quick aid to revision. This book is intended for first-year undergraduate students of physics or physics-related subjects (e.g. engineering physics or "physics with ..." courses). Also suitable for A-level applied mathematics.
Graded Exercises in Mechanics is a wide-ranging collection of exercises for homework, practice and revision. It is part of the series Graded Exercises in Advanced Level Mathematics, which provides a comprehensive collection of exercises for the new AS and A2 specifications. These exercises allow the practice needed to develop understanding and revise for examinations. Each topic has exercises in four sections: Basic questions provide routine practice in standard techniques; Intermediate questions are more challenging and of the standard of more straightforward A level questions; Advanced questions are designed to challenge more able students and include more demanding A level questions and some even harder, aimed at those trying for the highest grades; Revision questions provide material to revise a particular topic thoroughly and build confidence. Answers are included.
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