Description 
1 online resource (xxxvi, 514 pages) : illustrations 
Series 
Modeling and Simulation in Science, Engineering and Technology, 21643679 

Modeling and simulation in science, engineering & technology. 21643679

Contents 
Analysis of Variables and Equations. Terminology Revisited  Space and Time Elements and Their Orientation  Cell Complexes  Analysis of Physical Variables  Analysis of Physical Equations  Algebraic Topology  Birth of Classification Diagrams  Analysis of Physical Theories. Particle Dynamics  Electromagnetism  Mechanics of Deformable Solids  Mechanics of Fluids  Other Physical Theories  Advanced Analysis  General Structure of the Diagrams  The Mathematical Structure 
Summary 
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 abovementioned 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 upperlevel scientific coursework 
Bibliography 
Includes bibliographical references and index 
Notes 
Online resource; title from PDF title page (SpringerLink, viewed September 9, 2013) 
Subject 
Mathematical physics.

Form 
Electronic book

ISBN 
1461474213 

1461474221 (electronic bk.) 

9781461474210 

9781461474227 (electronic bk.) 
