Modeling and Simulation in Science, Engineering and Technology

The Mathematical Structure of Classical and Relativistic Physics

A General Classification Diagram

Authors: Tonti, Enzo

  • Presents an original mathematical analysis of the underlying analogies in diverse branches of physics
  • Provides a novel classification of physical variables
  • A valuable resource across many disciplines in applied mathematics, physics, and engineering
  • Clear exposition includes hundreds of figures to enhance understanding
  • Useful for both advanced students and professional researchers
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eBook $109.00
price for USA (gross)
  • ISBN 978-1-4614-7422-7
  • Digitally watermarked, DRM-free
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  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-1-4614-7421-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-1-4939-4232-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
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About this Textbook

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.

Reviews

From the book reviews:

“The author studies the mathematical structure of classical and relativistic physics with a non-standard approach. … the books can be highly recommended for readers from mathematics, physics and engineering, in particular for readers looking for an alternative approach to classical and relativistic physics.” (Willi-Hans Steeb, zbMATH, Vol. 1298, 2014)


Table of contents (15 chapters)

Buy this book

eBook $109.00
price for USA (gross)
  • ISBN 978-1-4614-7422-7
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $149.00
price for USA
  • ISBN 978-1-4614-7421-0
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $149.00
price for USA
  • ISBN 978-1-4939-4232-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
The Mathematical Structure of Classical and Relativistic Physics
Book Subtitle
A General Classification Diagram
Authors
Series Title
Modeling and Simulation in Science, Engineering and Technology
Copyright
2013
Publisher
Birkhäuser Basel
Copyright Holder
Springer Science+Business Media New York
Distribution Rights
Distribution rights for India: Researchco Book Centre, New Delhi, India
eBook ISBN
978-1-4614-7422-7
DOI
10.1007/978-1-4614-7422-7
Hardcover ISBN
978-1-4614-7421-0
Softcover ISBN
978-1-4939-4232-9
Series ISSN
2164-3679
Edition Number
1
Number of Pages
XXXVI, 514
Number of Illustrations and Tables
164 illustrations in colour
Topics