Almost Periodic Oscillations and Waves

Author: Constantin Corduneanu
Publisher: Springer Science & Business Media
ISBN: 0387098194
Format: PDF, ePub, Mobi
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This text is well-designed with respect to the exposition from the preliminary to the more advanced and the applications interwoven throughout. It provides the essential foundations for the theory as well as the basic facts relating to almost periodicity. In six structured and self-contained chapters, the author unifies the treatment of various classes of almost periodic functions, while uniquely addressing oscillations and waves in the almost periodic case. This is the first text to present the latest results in almost periodic oscillations and waves. The presentation level and inclusion of several clearly presented proofs make this work ideal for graduate students in engineering and science. The concept of almost periodicity is widely applicable to continuuum mechanics, electromagnetic theory, plasma physics, dynamical systems, and astronomy, which makes the book a useful tool for mathematicians and physicists.

Almost Automorphic Type and Almost Periodic Type Functions in Abstract Spaces

Author: Toka Diagana
Publisher: Springer Science & Business Media
ISBN: 3319008498
Format: PDF, Docs
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This book presents a comprehensive introduction to the concepts of almost periodicity, asymptotic almost periodicity, almost automorphy, asymptotic almost automorphy, pseudo-almost periodicity, and pseudo-almost automorphy as well as their recent generalizations. Some of the results presented are either new or else cannot be easily found in the mathematical literature. Despite the noticeable and rapid progress made on these important topics, the only standard references that currently exist on those new classes of functions and their applications are still scattered research articles. One of the main objectives of this book is to close that gap. The prerequisites for the book is the basic introductory course in real analysis. Depending on the background of the student, the book may be suitable for a beginning graduate and/or advanced undergraduate student. Moreover, it will be of a great interest to researchers in mathematics as well as in engineering, in physics, and related areas. Further, some parts of the book may be used for various graduate and undergraduate courses.

Travelling Waves and Periodic Oscillations in Fermi Pasta Ulam Lattices

Author: Alexander Pankov
Publisher: Imperial College Press
ISBN: 1860947212
Format: PDF, ePub, Docs
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This is a unique book that presents rigorous mathematical results on FermiPastaUlam lattices, a field of great interest in nonlinear analysis, nonlinear science, mathematical physics, etc. It considers travelling waves and time periodic oscillations in infinite FermiPastaUlam lattices, which are not necessarily spatially homogenous. Similar systems, infinite chains of linearly coupled nonlinear oscillators, are also discussed. The book is self-contained and includes a number of open problems, making it suitable for use in a course for graduate students.

Physics of Intense Beams in Plasmas

Author: M.V Nezlin
Publisher: CRC Press
ISBN: 9780750301862
Format: PDF, Kindle
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Physics of Intense Beams in Plasmas is a comprehensive description of the interaction between extremely intense particle beams and plasmas. The emphasis is on experimental beam-plasma physics, but the necessary theory is also explained-much of which is innovative and original. Central to the book is the discussion of beam instabilities, emphasizing their hydrodynamic nature.

The Physics of Vibrations and Waves

Author: H. John Pain
Publisher: John Wiley & Sons
ISBN: 1118681479
Format: PDF, Kindle
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The main theme of this highly successful book is that the transmission of energy by wave propogation is fundamental to almost every branch of physics. Therefore, besides giving students a thorough grounding in the theory of waves and vibrations, the book also demonstrates the pattern and unity of a large part of physics. This new edition has been thoroughly revised and has been redeisgned to meet the best contemporary standards. It includes new material on electron waves in solids using the Kronig-Penney model to show how their allowed energies are limited to Brillouin zones, The role of phonons is also discussed. An Optical Transform is used to demonstrate the modern method of lens testing. In the last two chapters the sections on chaos and solitons have been reduced but their essential contents remain. As with earlier editions, the book has a large number of problems together with hints on how to solve them. The Physics of Vibrations and Waves, 6th Edition will prove invaluable for students taking a first full course in the subject across a variety of disciplines particularly physics, engineering and mathematics.

Waves and Oscillations

Author: Walter Fox Smith
Publisher: Oxford University Press
ISBN: 9780199742127
Format: PDF, ePub, Mobi
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Waves and oscillations permeate virtually every field of current physics research, are central to chemistry, and are essential to much of engineering. Furthermore, the concepts and mathematical techniques used for serious study of waves and oscillations form the foundation for quantum mechanics. Once they have mastered these ideas in a classical context, students will be ready to focus on the challenging concepts of quantum mechanics when they encounter them, rather than struggling with techniques. This lively textbook gives a thorough grounding in complex exponentials and the key aspects of differential equations and matrix math; no prior experience is assumed. The parallels between normal mode analysis, orthogonal function analysis (especially Fourier analysis), and superpositions of quantum states are clearly drawn, without actually getting into the quantum mechanics. An in-depth, accessible introduction to Hilbert space and bra-ket notation begins in Chapter 5 (on symmetrical coupled oscillators), emphasizing the analogy with conventional dot products, and continues in subsequent chapters. Connections to current physics research (atomic force microscopy, chaos, supersolids, micro electro-mechanical systems (MEMS), magnetic resonance imaging, carbon nanotubes, and more) are highlighted in the text and in end-of-chapter problems, and are frequently updated in the associated website. The book actively engages readers with a refreshing writing style and a set of carefully applied learning tools, such as in-text concept tests, "your turn" boxes (in which the student fills in one or two steps of a derivation), concept and skill inventories for each chapter, and "wrong way" problems in which the student explains the flaw in a line of reasoning. These tools promote self-awareness of the learning process. The associated website features custom-developed applets, video and audio recordings, additional problems, and links to related current research. The instructor-only part includes difficulty ratings for problems, optional hints, full solutions, and additional support materials.

Vibrations and Waves

Author: A.P. French
Publisher: CRC Press
ISBN: 1351989898
Format: PDF, ePub, Docs
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The M.I.T. Introductory Physics Series is the result of a program of careful study, planning, and development that began in 1960. The Education Research Center at the Massachusetts Institute of Technology (formerly the Science Teaching Center) was established to study the process of instruction, aids thereto, and the learning process itself, with special reference to science teaching at the university level. Generous support from a number of foundations provided the means for assembling and maintaining an experienced staff to co-operate with members of the Institute's Physics Department in the examination, improvement, and development of physics curriculum materials for students planning careers in the sciences. After careful analysis of objectives and the problems involved, preliminary versions of textbooks were prepared, tested through classroom use at M.I.T. and other institutions, re-evaluated, rewritten, and tried again. Only then were the final manuscripts undertaken.

Pseudo Almost Periodic Functions in Banach Spaces

Author: Toka Diagana
Publisher: Nova Publishers
ISBN: 9781600216374
Format: PDF, ePub
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"This book provides the reader with a comprehensive and accessible introduction to the concepts of almost periodicity and pseudo almost periodicity as well as their applications to differential equations, partial differential equations, integral equations, and partial neutral functional differential equations with delay on Banach spaces. Further, the book offers various sufficient conditions, which do guarantee the existence and uniqueness of pseudo almost periodic solutions to the heat equation, reaction-diffusion equation, transport equation, logistic equation with delay, and neutral partial functional differential equations with delays arising in control systems."--BOOK JACKET.