Download EBOOK A Most Incomprehensible Thing: Notes Towards a Very Gentle Introduction to the Mathematics of Relativity PDF for free
 
Category: Science & Geography
The author of the book: Peter Collier
Format files: PDF, EPUB, TXT, DOCX
The size of the: 22.66 MB
Language: English
ISBN13: 9780957389458
Edition: Incomprehensible Books
Date of issue: 1 July 2014

Description of the book "A Most Incomprehensible Thing: Notes Towards a Very Gentle Introduction to the Mathematics of Relativity":
A selfstudy guide to Einstein's wonderful theories of relativity
"A Most Incomprehensible Thing" is aimed at the enthusiastic general reader who wants to move beyond the mathslite popularisations in order to tackle the essential, but challenging mathematics of Einstein's fascinating theories of special and general relativity. One of the cornerstones of modern physics, relativity is based on the concept of fourdimensional spacetime  curved in the vicinity of massenergy, flat in its absence. Special relativity helps explain a huge range of nongravitational physical phenomena and has some strangely counterintuitive ("very weird," in plain PDF English) consequences. These include time dilation, length contraction, the relativity of simultaneity, massenergy equivalence and an absolute speed limit. General relativity, a theory of gravity, is at the heart of our understanding of cosmology and black holes.
To paraphrase Euclid, there is no royal road to relativity  you have to do the mathematics. This introductory, selfstudy guide is written using straightforward and accessible language, with clear derivations and explanations as well as numerous fully solved problems. For those with minimal mathematical background, the first chapter provides a crash course in foundation mathematics. The reader is then ePub taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Schwarzschild solution; simple black holes (and what different observers would see if someone was unfortunate enough to fall into one). Also covered are the mysteries of dark energy and the cosmological constant; plus relativistic cosmology, including the Friedmann equations and FriedmannRobertsonWalker cosmological models.
Understand even the basics of Einstein's amazing theory and the world will never seem the same again.
Contents
Preface
Introduction
1 Foundation mathematics
2 Newtonian mechanics
3 Special relativity
4 Introducing the manifold
5 Scalars, vectors PDF, oneforms and tensors
6 More on curvature
7 General relativity
8 The Newtonian limit
9 The Schwarzschild metric
10 Schwarzschild black holes
11 Cosmology
Bibliography
Appendix  Planetary motion data
Acknowledgements
This second edition consists of the original first edition text plus all those corrections and clarifications to the first edition listed in the online errata sheet.
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Peter Collier
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