the mathematical structure of classical and relativistic physics modeling and simulation in science engineering and technology

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The Mathematical Structure Of Classical And Relativistic Physics

Author : Enzo Tonti
ISBN : 9781461474227
Genre : Science
File Size : 65. 55 MB
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The theories describing seemingly unrelated areas of physics have surprising analogies that have aroused the curiosity of scientists and motivated efforts to identify reasons for their existence. Comparative study of physical theories has revealed the presence of a common topological and geometric structure. The Mathematical Structure of Classical and Relativistic Physics is the first book to analyze this structure in depth, thereby exposing the relationship between (a) global physical variables and (b) space and time elements such as points, lines, surfaces, instants, and intervals. Combining this relationship with the inner and outer orientation of space and time allows one to construct a classification diagram for variables, equations, and other theoretical characteristics. The book is divided into three parts. The first introduces the framework for the above-mentioned classification, methodically developing a geometric and topological formulation applicable to all physical laws and properties; the second applies this formulation to a detailed study of particle dynamics, electromagnetism, deformable solids, fluid dynamics, heat conduction, and gravitation. The third part further analyses the general structure of the classification diagram for variables and equations of physical theories. Suitable for a diverse audience of physicists, engineers, and mathematicians, The Mathematical Structure of Classical and Relativistic Physics offers a valuable resource for studying the physical world. Written at a level accessible to graduate and advanced undergraduate students in mathematical physics, the book can be used as a research monograph across various areas of physics, engineering and mathematics, and as a supplemental text for a broad range of upper-level scientific coursework.

Mathematical Reviews

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ISBN : UVA:X006180727
Genre : Mathematics
File Size : 52. 13 MB
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American Book Publishing Record

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ISBN : UOM:39015066043178
Genre : American literature
File Size : 45. 19 MB
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New Scientist

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ISBN :
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File Size : 83. 65 MB
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New Scientist magazine was launched in 1956 "for all those men and women who are interested in scientific discovery, and in its industrial, commercial and social consequences". The brand's mission is no different today - for its consumers, New Scientist reports, explores and interprets the results of human endeavour set in the context of society and culture.

Computational Multiscale Modeling Of Fluids And Solids

Author : Martin Oliver Steinhauser
ISBN : 9783540751168
Genre : Science
File Size : 38. 13 MB
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The idea of the book is to provide a comprehensive overview of computational physics methods and techniques, that are used for materials modeling on different length and time scales. Each chapter first provides an overview of the physical basic principles which are the basis for the numerical and mathematical modeling on the respective length-scale. The book includes the micro-scale, the meso-scale and the macro-scale. The chapters follow this classification. The book will explain in detail many tricks of the trade of some of the most important methods and techniques that are used to simulate materials on the perspective levels of spatial and temporal resolution. Case studies are occasionally included to further illustrate some methods or theoretical considerations. Example applications for all techniques are provided, some of which are from the author’s own contributions to some of the research areas. Methods are explained, if possible, on the basis of the original publications but also references to standard text books established in the various fields are mentioned.

Directory Of Research Grants 2008

Author : Schoolhouse Partners LLC
ISBN : 9781434346988
Genre : Business & Economics
File Size : 55. 35 MB
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Volume 2 of 2 - With more than 5,100 listings of grants programs from 1,880 sponsors, the Directory of Research Grants is a comprehensive directory of grants available to researchers in every field of study. The directory has a broad focus, featuring grants for basic research, equipment acquisition, building construction/renovation, fellowships, and 23 other program types. Government grants include CFDA, NSF and NIH program numbers. Each record includes grant title, description, requirements, amount, application deadline, contact information (phone, fax and email), web address, sponsor name and address, and samples of awarded grants (when available). Printed in two volumes, each with extensive indexes - subject, program type and geographic to help you to identify the right program quickly.

Classical Trajectory Perspective Of Atomic Ionization In Strong Laser Fields

Author : Jie Liu
ISBN : 9783642405495
Genre : Science
File Size : 31. 8 MB
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The ionization of atoms and molecules in strong laser fields is an active field in modern physics and has versatile applications in such as attosecond physics, X-ray generation, inertial confined fusion (ICF), medical science and so on. Classical Trajectory Perspective of Atomic Ionization in Strong Laser Fields covers the basic concepts in this field and discusses many interesting topics using the semiclassical model of classical trajectory ensemble simulation, which is one of the most successful ionization models and has the advantages of a clear picture, feasible computing and accounting for many exquisite experiments quantitatively. The book also presents many applications of the model in such topics as the single ionization, double ionization, neutral atom acceleration and other timely issues in strong field physics, and delivers useful messages to readers with presenting the classical trajectory perspective on the strong field atomic ionization. The book is intended for graduate students and researchers in the field of laser physics, atom molecule physics and theoretical physics. Dr. Jie Liu is a professor of Institute of Applied Physics and Computational Mathematics, China and Peking University.

Publications Of The National Institute Of Standards And Technology Catalog

Author : National Institute of Standards and Technology (U.S.)
ISBN : OSU:32435067293787
Genre :
File Size : 59. 55 MB
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Mathematics And War

Author : Bernhelm Booß-Bavnbek
ISBN : 9783034880930
Genre : Mathematics
File Size : 23. 25 MB
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Mathematics has for centuries been stimulated, financed and credited by military purposes. Some mathematical thoughts and mathematical technology have also been vital in war. During World War II mathematical work by the Anti-Hitler coalition was part of an aspiration to serve humanity and not help destroy it. At present, it is not an easy task to view the bellicose potentials of mathematics in a proper perspective. The book presents historical evidence and recent changes in the interaction between mathematics and the military. It discusses the new mathematically enhanced development of military technology which seems to have changed the very character of modern warfare.

The Journal Of Engineering Education

Author : Society for the Promotion of Engineering Education (U.S.)
ISBN : UOM:39015010639493
Genre : Engineering
File Size : 88. 89 MB
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