Introduction To Geometrical Physics, An (Second Edition)

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World Scientific, 2016 M10 7 - 844 pages
This book focuses on the unifying power of the geometrical language in bringing together concepts from many different areas of physics, ranging from classical physics to the theories describing the four fundamental interactions of Nature — gravitational, electromagnetic, strong nuclear, and weak nuclear.The book provides in a single volume a thorough introduction to topology and differential geometry, as well as many applications to both mathematical and physical problems. It is aimed as an elementary text and is intended for first year graduate students.In addition to the traditional contents of books on special and general relativities, this book discusses also some recent advances such as de Sitter invariant special relativity, teleparallel gravity and their implications in cosmology for those wishing to reach a higher level of understanding.
 

Contents

Space and Geometry
1
MANIFOLDS
5
DIFFERENTIABLE STRUCTURE
161
NATURES EXTREME GEOMETRIES
357
MATHEMATICAL TOPICS
379
PHYSICAL TOPICS
555
References
773
Index
791
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About the author (2016)

Ruben Aldrovandi (Instituto de F猻ica Te畆ica - UNESP, Brazil);Jos?Geraldo Pereira (Instituto de F猻ica Te畆ica - UNESP, Brazil)

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