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A First Course in General Relativity Relié – 14 mai 2009
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Il ne reste plus que 14 exemplaire(s) en stock (d'autres exemplaires sont en cours d'acheminement).
- Nombre de pages de l'édition imprimée406 pages
- LangueAnglais
- ÉditeurCambridge University Press
- Date de publication14 mai 2009
- Dimensions20.32 x 2.39 x 25.4 cm
- ISBN-100521887054
- ISBN-13978-0521887052
Description du produit
Revue de presse
'Like many others involved in the teaching of general relativity to undergraduate and beginning graduate students, I have long hoped that Professor Schutz would produce a second edition of his excellent, and now classic, text. I am pleased to say the wait has not been in vain. This new edition retains all of the original's clarity and insight into the mathematical foundations of general relativity, but thoroughly updates the accounts of the application of the theory in astrophysics and cosmology, which have moved on considerably in the intervening 23 years. In particular, Professor Schutz has completely revised and considerably extended the discussion of the astrophysics of black holes and relativistic stars, the detection of gravitational waves, and modern cosmological theory and observations, all with the erudition and accessible exposition that we have come to expect from him. The result is an indispensable volume for anyone wishing to develop a deep and physically well-motivated understanding of relativistic gravitation, and this new edition will no doubt become a classic text in its own right.' Mike Hobson, Cavendish Laboratory, University of Cambridge
'Schutz has updated his eminently readable and eminently teachable A First Course in General Relativity. The result maintains the style of the first edition - intuitively and physically motivated presentation of the subject. He has added developments from the quarter century since the appearance of the first edition, including developments in cosmology (the accelerating universe, the development of structure from early inflation, quantum evolution of the early universe), in quantum gravity (the Hawking radiation), and especially in understanding of the sources and in the efforts to detect astrophysical gravitational radiation. The study of gravitational radiation has been the center of Schutz's research, and it is a pleasure to find it so clearly presented by an expert in the field. This text will be appreciated by any upper level undergraduate with an interest in cosmology, astrophysics, or experimentation in gravitational physics.' Richard Matzner, The Center for Relativity, University of Texas at Austin
'Long-awaited second edition of the highly successful undergraduate text.' The Times Higher Education Supplement
'… marvellous … very clear … I cannot recommend this book highly enough to any physicist who wants a good introduction to General Relativity.' David Burton, The Observatory
Reviews from the first edition: 'Schutz has such mastery of the material that it soon becomes clear that one is in authoritative hands, and topics are selected and developed only to a point where they prove adequate for future needs.' The Times Higher Education Supplement
'… ought to inspire more physicists and astronomers to teach and learn the other half of the 20th century's revolution in physics.' Foundations of Physics
'The book is a goldmine of cleverly constructed problems and exercises (and solutions!) …' Nature
'… provides the first step into general relativity for undergraduate students with a minimal background in mathematics.' Zentralblatt MATH
Biographie de l'auteur
Détails sur le produit
- Éditeur : Cambridge University Press; 2e édition (14 mai 2009)
- Langue : Anglais
- Relié : 406 pages
- ISBN-10 : 0521887054
- ISBN-13 : 978-0521887052
- Poids de l'article : 1,01 Kilograms
- Dimensions : 20.32 x 2.39 x 25.4 cm
- Classement des meilleures ventes d'Amazon : 2,725 en Astronomie (Livres)
- 114,902 en Personnages scientifiques (Livres)
- 321,605 en Anglais
- Commentaires client :
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Meilleures évaluations
Meilleures évaluations de France
Un problème s'est produit lors du filtrage des commentaires. Veuillez réessayer ultérieurement.
Le premier chapitre expose la relativité restreinte avec une clarté exceptionnelle et les deux chapitres suivants, dédiés à l'analyse tensorielle, permettent de comprendre en détails les opérations tensorielles, le pourquoi des indices... Ainsi, ce livre peut même servir pour un cours de relativité restreinte.
Plusieurs chapitres sont dédiés au formalisme mathématique et permettent de poser les bases en géométrie différentielle. De plus, le langage utilisé est très moderne (formes, vecteurs), ce qui permet de mettre d'autant plus en avant la nature géométrique de la théorie et les invariances (tout en simplifiant parfois les calculs).
Viennent ensuite des chapitres plus physiques et incontournables : ondes gravitationnelles, solution sphérique et métrique de Schwarzschild, trous noirs (et même quelques aspects avancés comme le rayonnement Hawking), cosmologie...
L'auteur fait aussi souvent référence à des expériences visant à tester la solidité de la théorie et il explique le contenu "philosophique" de la théorie (de manière à donner une certaine intuition), ne se contentant pas d'enchainer les calculs. Le livre contient aussi de très nombreux exercices (sans correction) : une trentaine en moyenne par chapitre.
En bref, ce texte ne possède aucun défaut.
Sinon je conseille les mêmes livres que le précédent commentaire (Carroll puis Wald), ainsi que d'autres ouvrages :
- le "frère" plus mathématique du même auteur : Geometrical Methods of Mathematical Physics, pour une étude plus formalisée de la géométrie différentielle (ainsi qu'éventuellement le livre classique de Nakahara, Geometry, Topology and Physics) ;
- les livres de Weinberg, ainsi que de Misner, Thorne et Wheeler pour des références complètes (mais indigestes en lecture suivie).
Meilleurs commentaires provenant d’autres pays
They are only in some Exercises. I studied a lot of math books and always all equations have proof.
May be this book is good for students: they can always ask the Teacher if something is not clear. But per person studying without Teacher sometimes very hard to understand where the Equations are from. I spent a lot of time to read different books to figure out proof. For me was very useful book of Robert B. Scott "A Student Manual for A First Course in GENERAL RELATIVITY.
Thank you,
Aleksandr
The book does an excellent job of blending both the "geometric" approach and the "component notation" approach to GR. Both are required for a comprehensive understanding of the subject, and Schutz adeptly explains and utilizes the relationships between both approaches while going through the material. Use of the equivalence principle is "sacrosanct" for a solid physical understanding of how gravitation works, as well as providing the "most straightforward" means of extending tensor formulation in special relativity (which Schutz presents in depth) to tensor formulation in curved spaces. Schutz does a beautiful job of utilizing the equivalence principle on both counts.
Of course, further reading will be required for a "complete education" in GR. The best understanding of how gravitation is "built" around use of the equivalence principle is Weinberg's book, as the book is indeed designed to demonstrate this. Weinberg's book may be the best "first book" for students requiring a solid "physical" approach to the subject (that's what worked for me, as opposed to the "pure geometry" approach favored by the math twits, hehe). MTW is the required "encyclopedic reference" that any practitioner in GR utilizes as an initial "look up" on anything, but it's way too "jumbled" to initially learn from it. Wald is a comprehensive textbook that covers the more advanced mathematical material and techniques required for practical GR based evaluation of most gravitational systems studied, but is not usually recommended as a "first course" on the subject (though it starts "from scratch"). Finally, any theorist attempting to develop new gravitational theory, will be "hamstrung" without first reading Will's book on experimental gravitation, which thoroughly presents the "theory of gravitational theories" (developed by the experimental gravitation community) by which any theory is ultimately judged (including GR). So all of these are required for an actual practitioner, but Schutz is the best comprehensive "first course" presenting an "even handed" approach to the subject.
Schutz adopts MTW's most algebraic form of GR. Which means? You can solve real GR problems without exposure to a level of geometric sophistication which can be added later by either of the two texts linked above.
You already know vectors: vector components and base vectors. So, meet their *duals: one-form components and base one-forms. Learn why -- and why it matters -- that the gradient one-form is not a vector (operator). Watch 'c' get dropped from SR equations as just one feature of clear symbolic presentation throughout. Find Einstein's "index gymnastics" easier to master. And discover the terrible tensor as a powerhouse mathematical object -- a "machine" like a Maserati is a machine.
Fear no more the two-headed monster `contravariant' vector and `covariant' vector; hear no more Lorentz transforms wrongly called `rotations'; spend no time sloughing through Maxwell's equations just because it's tradition; be exposed to no more attempts to make real "time" into an imaginary dimension by claiming that 't' is really '-it'. (See MTW p.51 Box 2.1 "Farewell to 'ict'" which briefly, eloquently demonstrates what's right about a geometric approach to GR.)
But...there's no yellow brick road to geometrical mathematical physics...here's how to gauge your readiness to study GR:
R. Shankar. Basic Training in Mathematics: A Fitness Program for Science Students , designed for entering physical science students at Yale. 1. single variable differential calculus 2. integral calculus 3. calculus of many variables 4. infinite series 5. complex numbers 6. functions of a complex variable 7. vector calculus 8. matrices and determinants 9. linear vector spaces 10. differential equations.
J. R. Taylor. Classical Mechanics A fundamental calculus based text and a model of clarity written by TV science presenter "Mr. Wizard". High value chapters for both GR and Quantum Mechanics: 7. Lagrange's equations 9. mechanics in non-inertial frames 10. rotational motion of rigid bodies 11. coupled oscillators and normal modes 13. Hamilton's mechanics 15. special relativity. Shankar's volume supplies all math needed for Taylor.
More importantly, when you discover a serious flaw in a textbook it has the effect of raising doubts about its reliability in other areas. In 10.8 and 10.9 the author ties himself in knots arguing that the energy of a photon is a constant of the motion and at the same time that it is not. It is. This is part of a tortuous explanation of the gravitational redshift. He does not seem to grasp that a photon wave packet when stretched in time changes its frequency but not its total energy, and that the mechanism of gravitational time dilation does precisely that. If the one exists so does the other. Such pulse stretching and pulse compression is commonplace in optical and radar laboratories. Part of his error is in trying to introduce a quantum view where it won't fit.
He also attaches problems for the student ad nauseam, without so much as a hint to the answers (which are not included). Why not?
There are many excellent works on GR available free on the internet. I recommend in particular those from the Physics Labs at the University of Rome (INFN Roma). I think the cost of Schutz's book was money that could have been better spent.