A Most Incomprehensible Thing Notes Towards A Very Gentle Introduction To The Mathematics Of Relativity

Author: Peter Collier
Publisher: Incomprehensible Books
ISBN: 0957389469
Size: 75.45 MB
Format: PDF, ePub
View: 3413
Download Read Online
A clear and enjoyable guide to the mathematics of relativity – THE AMAZON BESTSELLER
To really understand relativity – one of the cornerstones of modern physics – you have to get to grips with the mathematics. This user-friendly self-study guide is aimed at the general reader who is motivated to tackle that not insignificant challenge. The book 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 taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Einstein field equations; the Schwarzschild solution (which gives a good approximation of the spacetime of our Solar System); simple black holes and relativistic cosmology. Following the historic 2015 LIGO (Laser Interferometer Gravitational-Wave Observatory) detection, there is now an additional chapter on gravitational waves, ripples in the fabric of spacetime that potentially provide a revolutionary new way to study the universe.

Special relativity helps explain a huge range of non-gravitational physical phenomena and has some strangely counter-intuitive consequences. These include time dilation, length contraction, the relativity of simultaneity, mass-energy equivalence and an absolute speed limit. General relativity, the leading theory of gravity, is at the heart of our understanding of cosmology and black holes.

Understand even the basics of Einstein's amazing theory and the world will never seem the same again.

Reader reviews
" ... do not be put off by the title! This is a great book on relativity which nicely bridges the gap between those books catering for readers who know little or nothing about relativity and those texts intended for physics mathematical specialists." – Amazon.co.uk

"Long story made short ... it is a gem. It works through the essential material and concepts carefully and patiently, and you would have a hard time not tracking the text, it is so clear. I highly recommend this book." – Amazon.com

"Well done – a magnificent achievement" – Amazon.co.uk

"Highly recommended for anyone willing to invest some time and effort." – Amazon.com

Contents
Preface
Introduction
1 Foundation mathematics
2 Newtonian mechanics
3 Special relativity
4 Introducing the manifold
5 Scalars, vectors, one-forms and tensors
6 More on curvature
7 General relativity
8 The Newtonian limit
9 The Schwarzschild metric
10 Schwarzschild black holes
11 Cosmology
12 Gravitational waves
Appendix: The Riemann curvature tensor
Bibliography
Acknowledgements

March 2017. This third edition has been revised to make the material even more accessible to the enthusiastic general reader who seeks to understand the mathematics of relativity.

A Most Incomprehensible Thing Notes Towards A Very Gentle Introduction To The Mathematics Of Relativity

Author: Peter Collier
Publisher: Incomprehensible Books
ISBN: 0957389442
Size: 41.23 MB
Format: PDF
View: 3300
Download Read Online
July 2014 - a new updated edition of this book is now available globally from Amazon and other retailers.

Reader reviews
(1) "Fantastic book ... very easy to follow and leads you gradually and gently to the full mathematical detail of general relativity." (2) "Highly recommended for anyone willing to invest some time and effort." - Amazon.com

(1) " ... do not be put off by the title! This is a great book on relativity which nicely bridges the gap between those books catering for readers who know little or nothing about relativity and those texts intended for physics mathematical specialists." (2) "A new gold standard for physics books." (3) "A unique book. Well done the author." - Amazon.co.uk

Synopsis
Based on the concept of four-dimensional spacetime - curved in the vicinity of mass-energy, flat in its absence - Einstein's theories of special and general relativity together form a cornerstone of modern physics. Special relativity has some strangely counter-intuitive consequences, including time dilation, length contraction, the relativity of simultaneity and mass-energy equivalence, whilst general relativity is at the heart of our understanding of black holes and the evolution of the universe.

Using straightforward, accessible language, with numerous fully solved problems and clear derivations and explanations, this book is aimed at the enthusiastic general reader who wants to move beyond maths-lite popularisations and tackle the essential mathematics of this fascinating theory. (To paraphrase Euclid, there is no royal road to relativity - you have to do the mathematics.) For those with minimal mathematical background, the first chapter provides a crash course in foundation mathematics. The reader is then taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Einstein field equations; the Schwarzschild solution; the four classical tests of general relativity; simple black holes; the mysteries of dark energy and the cosmological constant; and the Friedmann equations and Friedmann-Robertson-Walker 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, one-forms 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

A Most Incomprehensible Thing

Author: Peter Collier
Publisher: Incomprehensible Books
ISBN: 0957389469
Size: 74.75 MB
Format: PDF, Docs
View: 5255
Download Read Online
March 2017. This third edition has been revised to make the material even more accessible to the enthusiastic general reader who seeks to understand the mathematics of relativity.

A Most Incomprehensible Thing

Author: Peter Collier
Publisher: Peter Collier
ISBN: 0957389450
Size: 25.38 MB
Format: PDF, Mobi
View: 876
Download Read Online
This book is aimed at the enthusiastic general reader who wants to move beyond the maths-lite popularisations in order to tackle the essential mathematics of Einstein's fascinating theories of special and general relativity.

A Most Incomprehensible Thing

Author: Peter Collier
Publisher: Incomprehensible Books
ISBN: 0957389442
Size: 53.22 MB
Format: PDF, ePub
View: 5092
Download Read Online
Using straightforward, accessible language, with numerous fully solved problems and clear derivations and explanations, this book is aimed at the enthusiastic general reader who wants to move beyond maths-lite popularisations and tackle the ...

Mathematics Of Relativity

Author: George Yuri Rainich
Publisher: Courier Corporation
ISBN: 0486798224
Size: 28.54 MB
Format: PDF, Kindle
View: 5474
Download Read Online
Geared toward advanced undergraduates and graduate students of physics, the text covers old physics, new geometry, special relativity, curved space, and general relativity.

Introduction To Special Relativity

Author: James Hammond Smith
Publisher: Courier Corporation
ISBN: 048668895X
Size: 77.68 MB
Format: PDF
View: 1652
Download Read Online
Concise, well-written treatment of epochal theory of modern physics covers classical relativity and the relativity postulate, time dilation, the twin paradox, momentum and energy, particles of zero mass, electric and magnetic fields and ...

General Relativity

Author: Marvin Blecher
Publisher: World Scientific
ISBN: 9813108495
Size: 77.58 MB
Format: PDF, ePub, Mobi
View: 3788
Download Read Online
This textbook is suitable for a one-semester introduction to General Relativity for advanced undergraduates in physics and engineering. The book is concise so that the entire material can be covered in the one-semester time frame.

A Student S Guide To The Mathematics Of Astronomy

Author: Daniel Fleisch
Publisher: Cambridge University Press
ISBN: 1107034949
Size: 15.11 MB
Format: PDF, ePub, Docs
View: 2334
Download Read Online
Plain-language explanations and a rich set of supporting material help students understand the mathematical concepts and techniques of astronomy.

Tensors Made Easy

Author: Giancarlo Bernacchi
Publisher: Lulu.com
ISBN: 1326230972
Size: 54.10 MB
Format: PDF, ePub, Mobi
View: 3786
Download Read Online
An informal, semplified introduction to the Maths of General Relativity. (revised edition) No particular mathematical background is required beyond calculus with a little bit of partial derivatives.

An Introduction To Modern Cosmology

Author: Andrew Liddle
Publisher: John Wiley & Sons
ISBN: 1118690257
Size: 75.69 MB
Format: PDF, Kindle
View: 3877
Download Read Online
This fully revised edition of a bestseller takes an approach which is grounded in physics with a logical flow of chapters leading the reader from basic ideas of the expansion described by the Friedman equations to some of the more advanced ...

The Theoretical Minimum

Author: George Hrabovsky
Publisher: Penguin UK
ISBN: 0141976233
Size: 61.17 MB
Format: PDF
View: 3232
Download Read Online
Instead of shying away from the equations and maths that are essential to any understanding of physics, The Theoretical Minimum provides a toolkit that you won't find in any other popular science book.