A Most Incomprehensible Thing: Notes Towards a Very Gentle Introduction to the Mathematics of Relativity (English Edition)
Science, Peter Collier
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A clear and enjoyable guide to the mathematics of relativity – The Amazon Best SellerTo 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
ContentsPreface
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 updated Kindle edition contains the same text as the 2017 third paperback edition (ISBN 9780957389465).Rang parmi les ventes Amazon: #35483 dans eBooksPublié le: 2014-06-30Sorti le: 2014-06-30Format: Ebook KindlePrésentation de l'éditeurA clear and enjoyable guide to the mathematics of relativity – The Amazon Best SellerTo 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.comContentsPrefaceIntroduction1 Foundation mathematics2 Newtonian mechanics3 Special relativity4 Introducing the manifold5 Scalars, vectors, one-forms and tensors6 More on curvature7 General relativity8 The Newtonian limit9 The Schwarzschild metric10 Schwarzschild black holes11 Cosmology12 Gravitational wavesAppendix: The Riemann curvature tensorBibliographyAcknowledgementsMarch 2017 – this updated Kindle edition contains the same text as the 2017 third paperback edition (ISBN 9780957389465).Présentation de l'éditeurA clear and enjoyable guide to the mathematics of relativity – The Amazon Best SellerTo 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.comContentsPrefaceIntroduction1 Foundation mathematics2 Newtonian mechanics3 Special relativity4 Introducing the manifold5 Scalars, vectors, one-forms and tensors6 More on curvature7 General relativity8 The Newtonian limit9 The Schwarzschild metric10 Schwarzschild black holes11 Cosmology12 Gravitational wavesAppendix: The Riemann curvature tensorBibliographyAcknowledgementsMarch 2017 – this updated Kindle edition contains the same text as the 2017 third paperback edition (ISBN 9780957389465).Vous trouverez ci-dessous quelques critiques les plus utiles sur A Most Incomprehensible Thing: Notes Towards a Very Gentle Introduction to the Mathematics of Relativity (English Edition). Vous pouvez considérer cela avant de décider d'acheter / lire ce livre.
2 internautes sur 2 ont trouvé ce commentaire utile.A most beautiful journey to the exotic world of relativity !!!Par André GargouraThe title is the program : it's not one more book on relativity but a nicely-structured exposition of the mathematics underlying the major results of both the special and the general theories.It starts with a thorough and complete review of the basic maths, followed by a gentle introduction to tensors, thereby avoiding the intricacies of specific basis vectors transformations found in more fundamental treatments, e.g. Fleisch's, Kreyszig's, Schutz's...A step-by-step exposition, where nothing is left unexplained, where every concept, even if difficult and non-intuitive, is backed by well chosen examples, makes the book perfectly suited for self-study, as a first course : See my complete review in the comments about "The Principle of Relativity" (Einstein, Lorentz, Weyl, Minkowski).
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