The Mathematical Structure of Classical and Relativistic Physics

The Mathematical Structure of Classical and Relativistic Physics
Author :
Publisher : Springer Science & Business Media
Total Pages : 537
Release :
ISBN-10 : 9781461474227
ISBN-13 : 1461474221
Rating : 4/5 (221 Downloads)

Book Synopsis The Mathematical Structure of Classical and Relativistic Physics by : Enzo Tonti

Download or read book The Mathematical Structure of Classical and Relativistic Physics written by Enzo Tonti and published by Springer Science & Business Media. This book was released on 2013-09-07 with total page 537 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.


The Mathematical Structure of Classical and Relativistic Physics Related Books

The Mathematical Structure of Classical and Relativistic Physics
Language: en
Pages: 537
Authors: Enzo Tonti
Categories: Science
Type: BOOK - Published: 2013-09-07 - Publisher: Springer Science & Business Media

GET EBOOK

The theories describing seemingly unrelated areas of physics have surprising analogies that have aroused the curiosity of scientists and motivated efforts to id
Physics for Mathematicians
Language: en
Pages: 733
Authors: Michael Spivak
Categories: Mechanics
Type: BOOK - Published: 2010 - Publisher:

GET EBOOK

Mathematical Physics: Classical Mechanics
Language: en
Pages: 683
Authors: Andreas Knauf
Categories: Science
Type: BOOK - Published: 2018-02-24 - Publisher: Springer

GET EBOOK

As a limit theory of quantum mechanics, classical dynamics comprises a large variety of phenomena, from computable (integrable) to chaotic (mixing) behavior. Th
Relativistic Quantum Mechanics
Language: en
Pages: 244
Authors: Hartmut Pilkuhn
Categories: Science
Type: BOOK - Published: 2013-06-29 - Publisher: Springer Science & Business Media

GET EBOOK

In this book, quantum mechanics is developed from the outset on a relativistic basis, using the superposition principle, Lorentz invariance and gauge invariance
An Introduction to Hilbert Space and Quantum Logic
Language: en
Pages: 159
Authors: David W. Cohen
Categories: Science
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

GET EBOOK

Historically, nonclassical physics developed in three stages. First came a collection of ad hoc assumptions and then a cookbook of equations known as "quantum m