Book Description
Spacetime and Geometry: An Introduction to General Relativity provides a lucid and thoroughly modern introduction to general relativity. With an accessible and lively writing style, it introduces modern techniques to what can often be a formal and intimidating subject. Readers are led from the physics of flat spacetime (special relativity), through the intricacies of differential geometry and Einstein's equations, and on to exciting applications such as black holes, gravitational radiation, and cosmology. For advanced undergraduates and graduate students, or anyone interested in astronomy, cosmology, physics, or general relativity.
Customer Reviews:
Wordy and Wonderful.......2006-12-12
This is an advanced text, but all the same it is not particularly rigorous or dense, so it is in principle accessible to the beginner. With an easy authority, Carroll leads us on a wandering journey through the mystical lands of general relativity. This is very different from, and compliments nicely, the clarity and directness of Wald. As a student of GR, I use Wald for the bottom line on any subject, and Carroll for the random physical or computational insights that I invariably find in any section of the book. Carroll's prose is like music to the ear and I always enjoy myself when I decide to open up this book.
Be warned that there are lots of mistakes in this first edition--you might want to wait for the second one.
Also, his chapter on cosmology is better than any I've seen.
BY FAR the best book on GR.......2006-10-21
I am currently on the 4th chapter of Carroll's "Spacetime and Geometry" and thus far I am amazed at how clear it is. Sure there is a lot of math in it however that also is very clearly explained. In fact, I think that Carroll explains the differential geometry material better than any mathematician has in any book on the subject. If you want to learn general relativity, there is no getting around the math; sooner or later you'll have to learn it. I'd suggest, especially if you are self-studying the subject, to rather pick up this book and go through it than pick up a more "elementary" text and a book on Riemannian geometry to look at later.
(Although I do also highly recommend Kay's (Schaum outline) "Tensor Calculus" for self study. The prima donnas don't like Kay's book because it "doesn't have enough theory." I suppose if a freshman calculus book does not have the Lebesgue integral defined in ti they'll complain about that too.)
Because, you can always skip through certain sections if the math is too heavy and go back through it later. And like I wrote earlier, you won't find a better introduction to the mathematical material than here.
Carroll should be given the Nobel prize for this book. If not in Physics, then in literature. I'd give this textbook 10 stars if I could.
A nice blend of the ideas of physics with mathematics.......2006-04-11
Kudos to Carroll.
This book is an excellent INTRODUCTION to SR and GR for the graduate physics student as well as the graduate mathematics students.
Pure mathematics often loses sight of the ideas which motivated it and physics often loses the mathematical foundations from which it is built.
This book offers some level of mathematical formalism to the physics student while exposing the ideas motivating the mathematical concepts.
I particularly like how he builds up the mathematical machinery of GR by introducing sets then topology on this set giving a topological space. Now he adds in the ideas of a manifold which make this topological space look like Rn locally with the patches sewn together smoothly. The manifold comes equipped with tangent space, cotangent spaces and their product spaces giving tensor spaces. These are defined nicely with reference to component formalism as well as the multilinear algebra approach as maps from products spaces to the reals, etc. He delves into forms and tantalized the reader with deRham cohomology although doesnt go into it. He shows how these can be differentiated ( exterior derivative ) and integrated.
Now the metric is introduced giving a geometry. To this is added a connection which is independent of the metric and leads to notions of parallel transport and differentiation of tensors ( covariant derivative ). One sees that in a special case one can derive a unique connection from the metric ( Levi-Cevita ) which is used in GR.
Fibre bundles, Lie derivatives, pullbacks etc are introduced as needed.
He then presents some introductory GR material by applying the mathematics.
Great Book But Won't Get You To The Promised Land.......2005-12-14
My comments come with a few caveats.
1. This is my fourth GR book.
2. I'm not hardcore into physics. I'm not a physic grad and I'm reading GR for fun. I have a decent graduate math background but I've been corrupted with 10+ years in working in various roles software engineering, electronics engineering and marketing.
3. I assume that since you're considering buying this book, you're goal is to get at the "real" GR, not the watered down discover channel version.
With these caveats in mind, here are my comments.
First, on a scale of 1-5, I rank Carroll at level 3 in terms of math/physics maturity and thoroughness. Here is my full ranking of authors from my limited reading: 1. schutz 2. hartle 3. penrose 3. carroll 4. wald 5. physics journal articles
Second, using the rankings above, I recommend Carroll as the second port of entry. If you're comfortable with multivariable calculus, start with schutz (#1). You'll get warm fuzzies doing the toy exercises. But Schutz is tensor/math-lite. If you've had advanced calculus and geometry already, jump in with carroll (#3). But you'll be hard-pressed to find anyone else as polite to the reader. He won't prepare you for 80 percent of what's published. If you're ready to throw off the training wheels and jump dive into mainstream GR go with Wald (#4).
Note that Hartle (#2) is a good "tweener" book with feel-good exercises and some of the full-on GR equations at the end. I bet most instructors teaching a first year grad course would go with Hartle along with a dose of supplementary material.
Third, don't expect Carroll to be your last GR book purchase if you want to reach the promised land (see caveat #4). Living and breathing GR is found in physics journals and for that you'll need Wald or another advanced GR book.
good math chapters, not at beginner's level after that.......2005-03-07
I had a course based on that book and I've read chapters 1-6 (out of 9 chapters total) plus all the appendices. Also, I've solved some of the problems.
Please keep in mind my review is from a beginner point of veiw. Readers more experienced in GR may feel different but that book is supposedly written for beginners right?
The math chapters 2 and 3 are worth reading because they will teach you tensor analysis on manifolds in much clearer way than other books. The book makes a clear distinction between assumptions, choices (like working with a metric compatible connection), or derived facts. It is nice that the book makes a difference between a Christoffel connection and a generic connection. The appendices are worth reading too cause they will give you a feeling for some new to you math necessary for GR like pullbacks, Lie Derivatives, hypersurfaces etc.
Chapter 4 is worth reading too cause it makes clear that Einstein's equations are just the simplest guess out of many other possibilities. Also it shows how we generalize physical laws from special relativity to GR making it clear our choices are the simplest ones but not the only ones possible.
The chapters after that discuss applications of GR like black holes, gravitational radiation, cosmology etc. Of these, I've read only the black holes chapters 5 and 6 and I wasn't able to understand 100% what was goin on. The problem was that the book uses concepts that you still don't quite understand if you are a beginner like 'spacelike singularity' or 'conformal diagrams'. That is informative but the book doesn't provide the necessary level of detail and examples for beginners so you could really master such concepts and use them in your practise.
There are problems after each chapter but not the necessary beginners problems that increase your conceptual understanding of the theory. Instead, some of the problems are just tedious algebra of type 'find the curvature for some general form of the metric' for which specialists in the field use symbolic programs like Mathematica. Solving these by hand proves that you can take derivatives and you are a mazochist but not that you understand GR. Other problems are really relevant to your education but are not dirrectly connected to the discussion in the text. Because of that you have to solve them from scratch and it will take you ages ...
If you are a beginner like me, you should read the math chapters and all appendices of Carroll's book plus chapter 4. Then you should read a real book for beginners with a lot of examples how to apply GR in real calculations and how to understand it. For that I recommend James Hartle's "Gravity: An Introduction to Einstein's General Relativity" and Bernard Schutz's "A first course in General Relativity". After that hopefully you will understand the rest of Carroll's book better. My experience was that often I had to read Hartle's book in order to understand and solve a problem in Carroll's book.
Book Description
The aim of this groundbreaking new text is to bring general relativity into the undergraduate curriculum and make this fundamental theory accessible to all physics majors. Using a "physics first" approach to the subject, renowned relativist James B. Hartle provides a fluent and accessible introduction that uses a minimum of new mathematics and is illustrated with a wealth of exciting applications.
The emphasis is on the exciting phenomena of gravitational physics and the growing connection between theory and observation. The Global Positioning System, black holes, X-ray sources, pulsars, quasars, gravitational waves, the Big Bang, and the large scale structure of the universe are used to illustrate the widespread role of how general relativity describes a wealth of everyday and exotic phenomena.
For anyone interested in physics or general relativity.
Customer Reviews:
Gravity - Great condition.......2007-09-20
This product was exactly as described, in great condition and shipped in a timely manner.
Outstanding.......2007-07-10
Simply the best and clearest introduction to this fascinating topic. There's none better, or even remotely close, for clarity and comprehensiveness. I wish I could write as well as Hartle!
The Road to Relativity.......2007-06-27
When an author can write a book on a complicated subject so that anyone without prior knowledge can understand the content, he is truly a gifted writer. Gravity: An Intoduction to Einstein's General Relativity by James Hartle delivers. I studied calculus and had one course in non-calculus physics 35 years ago and was amazed at how much I could understand from this book. I am also reading "Relativity DeMystified" for a different perspective but Hartle is a true winner.
One note: If relativity is your primary goal you can read chapters 1-9 and skip to 20 and then 21 (Curvature and the Einstein Equation) for a short cut, according to Appendix D (Pedagogical Strategy). Its all great stuff though, so take your time and enjoy.
Very motivating, but lacking the math needed for real GR.......2007-03-15
Let me just say, for an introductory textbook, nobody does it better than Hartle!
Very motivating...keeps physics the central topic of discussion instead of wandering off topic.
My only complaint is that Einstein's equation is introduced towards end of the book, giving it a false idea that it is "incomprehensible" which is not true.
But really, great job Hartle!
Amazingly interesting book.......2006-11-26
This is the best book for understanding gravity mathematically at the level of an advanced undergraduate. Though intended for the classroom (and based on a class at UCSB) there are many aspects of this book which make it nearly ideal for self-study:
* interesting side-bars, with some math
* thorough details in mathematical explanations
* never too much repetition of covered material
* moves from special cases (with applications) to more general cases, allowing the student to learn a little at a time (which is rare in books on general relativity)
The only downside is that it doesn't go quite as far into recent theories as you might like. This is fine for me as I, as a complete layman, would rather understand a bit of relativity well--something I missed in my undergraduate physics training.
Book Description
After reviewing the basic concept of general relativity, this introduction discusses its mathematical background, including the necessary tools of tensor calculus and differential geometry. These tools are used to develop the topic of special relativity and to discuss electromagnetism in Minkowski spacetime. Gravitation as spacetime curvature is introduced and the field equations of general relativity derived. After applying the theory to a wide range of physical situations, the book concludes with a brief discussion of classical field theory and the derivation of general relativity from a variational principle.
Average customer rating:
- An excellent introduction to Relativity
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Relativity: An introduction to space-time physics
Steve Adams
Manufacturer: CRC
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Book Description
Provides the essential principles and results of special relativity as required by undergraduates. The text uses a geometric interpretation of space-time so that a general theory is seen as a natural extension of the special theory. Although most results are derived from first principles, complex and distracting mathematics is avoided and all mathematical steps and formulae are fully explained and interpreted, often with explanatory diagrams.; The emphasis throughout the text is on understanding the physics of relativity. The structure of the book is designed to allow students of different courses to choose their own route through the short self-contained sections in each chapter. The latter part of the book shows how Einstein's theory of gravity is central to unraveling fundamental questions of cosmology.
Customer Reviews:
An excellent introduction to Relativity.......2003-05-21
If you are a ambitious highshool student or a physics freshman this is the best place to get started on special realtivity.
It is far less mathematically demanding then many books out there and clear on physical concepts.
(ch.1) Good review of classical ideas.
(ch.2) Need for special relativity, good explanations of
galaian and lorentz transformation, and uses of the latter.
(ch.3) Good introductions to spacetime geometry (the invariant
interval) and relativistic mechanics.
(ch.4) Good introduction to basis of general relativity and cosmmology.
One of the great things about the book is that it takes the common 'popular' accounts one step further by intoducing physics in precise languge and formulas. So that you can apply your knowldege to actully solve some problems and gain further understanding. There are problems at end of each chapter and they are (mostly) supplemented by answers in an appendix.
One thing that is left out completely is relativistic electrodynamics, of course that's only sutibale for a more advanced book. I would've liked to see the power of four vectors utilized more and see the role of tensors.
Book Description
Appearance and Reality: An Introduction to the Philosophy of Physics addresses quantum mechanics and relativity and their philosophical implications, focusing on whether these theories of modern physics can help us know nature as it really is, or only as it appears to us. The author clearly explains the foundational concepts and principles of both quantum mechanics and relativity and then uses them to argue that we can know more than mere appearances, and that we can know to some extent the way things really are. He argues that modern physics gives us reason to believe that we can know some things about the objective, real world, but he also acknowledges that we cannot know everything, which results in a position he calls "realistic realism." This book is not a survey of possible philosophical interpretations of modern physics, nor does it leap from a caricature of the physics to some wildly alarming metaphysics. Instead, it is careful with the physics and true to the evidence in arriving at its own realistic conclusions. It presents the physics without mathematics, and makes extensive use of diagrams and analogies to explain important ideas. Engaging and accessible, Appearance and Reality serves as an ideal introduction for anyone interested in the intersection of philosophy and physics, including students in philosophy of physics and philosophy of science courses.
Customer Reviews:
Excellent in its intended capacity as introduction..........2000-03-14
I would imagine that the factor pivotal to appreciation of this book is the reader's stage of understanding of the issues discussed within this book.
Particulaly impressive was the conciseness and clearness of the explanations of both relativity and quantum mechanics, two subjects that I would imagine can be notoriously difficult to deal with when ill explained. Aside from aformentioned technicalities regarding quantum physics, perhaps the author could may have spent more time considering the epistemological issue of the very validity of, in particurlar relativity, the 'foundations of modern physics discussed'. They seemed briefly considered, yet tossed aside it seems due to the author's attitude that the apparent current non-existence of what may eventually supercede the areas of physics in question. So, basically, the book was themed upon evaluating reality using the best tools we have at this moment to evaluate what constitutes it.
None the less, as an indication of the perspective physics can provide as to the very nature of reality and existence, this book can be invaluable.
very good up to page 140 then thumbs down.......1999-07-14
Good overview of the special and general theory of relativity as well as quantum mechanics. No equations are used and the author is able to demonstrate these ideas very well.
However the author bias becomes very clear as he explains Bell's theorem . The author points out that no local hidden variable theory can explain the results presented by quantum mechanics. He seems to miss the point that quantum mechanics is NONLOCAL with or without hidden variables . He clearly is in the copenhagen camp but stresses that popular publications on the subject are incorrect in concluding that everything is indeterminate, after all, things such as mass,charge etc. are determinate.
The author seems to accept "in stride" the nonlocality in the copenhagen interpetation and then uses nonlocality as the biggest argument against the deBroglie-Bohm pilot wave interpetation stating that it is a "blatant" violation of the special theory of relativity. Apparently the instant collapse of the second wave function when the first is measured in EPR is more realistic in his view. He then corrects himself and states that it is really not a violation of the special theory "empirically".
These kind of inconsistencies and contradictions are rampant after page 140. In the end the best critisism the author could level at the Bohm interpetation is that it is "epistimological anti realism"
In summary his philosophical position of "realistic realism" ends up being that schrodinger's cat maybe both dead and alive but we know that it weighs ten pounds.
Average customer rating:
- A Breakthrough in Undergraduate Texts
- Good book if you like mathematics!
- Amazing Introduction to a Very Esoteric Subject
- Excellent delivery!
- Gives an intuitive understanding of General Relativity
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Exploring Black Holes: Introduction to General Relativity
Edwin F. Taylor , and
John Archibald Wheeler
Manufacturer: Benjamin Cummings
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Spacetime Physics
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Black Holes and Time Warps: Einstein's Outrageous Legacy (Commonwealth Fund Book Program)
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Special Relativity (M.I.T. Introductory Physics Series)
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Gravity: An Introduction to Einstein's General Relativity
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A First Course in General Relativity
ASIN: 020138423X |
Customer Reviews:
A Breakthrough in Undergraduate Texts.......2007-03-15
A book I really wouldn't have thought could have been written. There are a lot of books on general relativity at the superficial level, call these books 'mathless.' There are monumental tomes aimed at the graduate student level, call these books 'tensor calculus.' Here is a book exquisitely positioned between these others. The student will need to have had differential calculus, and perhaps a bit of basic physics, and with these he will get a pretty good, introductory understanding of General Relativity.
The real key to this book is that it explains a lot, but then it open up a bunch of other questions, questions that we really haven't answered yet -- things like dark matter, dark energy, accelerating expansion of the universe, and more.
The book ends with: 'How can physics live up to its true greatness except by a new revolution in outlook which dwarfs all past revolutions? And when it comes, will we not say to each other, Oh, how beautiful and simple it all is! How could we ever have missed it so long.'
That's just the awe, the vision, that we want new and budding physicists to have.
Good book if you like mathematics!.......2007-01-05
This is the best book about General relativity ( GR ) that I have ever read. Instead of trying to explain GR with words the author is using mathematics to to illustrate some of the consequences of GR. This means that some mathematical knowledge is required ( but not knowledge about tensors and dfferential forms ) and that the reader need to spend some time with paper and pencil to truly understand the text. The examples is concentrated on what is happening around black holes but the advance of Mercury's perihelion and the slowing of light around the Sun is also described. A very good book!
Amazing Introduction to a Very Esoteric Subject.......2006-06-11
Einstein's general theory of relativity is perhaps one of the most mathematically intense areas of research any physicist or astronomer could undertake. However this book takes the subject and turns it into a joyous romp through curved spacetime.
By avoiding the field equations and focusing on their solutions the authors impart to the eager student an overview of general relativity and set the stage for a more rigorous approach to be undertaken later. This book is the perfect introduction to the subject.
The book is well suited for advanced undergraduates who have had several hours of physics and mathematics. It is likewise suited to serve as a introductory text for graduate students that are studying astrophysics and astronomy. In the latter case the text serves well as an overview of what general relativity is, many of its findings, its predictions, and its relevance to observational astronomy.
If you have a basic understanding of calculus and have studied the special theory of relativity in some detail then this book is well suited to your needs.
Excellent delivery!.......2005-09-25
This book was delivered in immaculate condition and is exactly how I was hoping it would be. Thank you for your product and i hope to do business with you again!
Sincerely,
Travis
Gives an intuitive understanding of General Relativity.......2005-08-18
This book sidesteps the hard work needed to motivate and develop the Einstein field equations, and goes directly to one of the most important solutions of the equations, the Schwarzschild solution, which gives rise to the concept of a black hole. By exploring what observers in different parts of space-time would experience along their different trajectories (whether falling into a black hole or watching from a safe spot far away), Taylor and Wheeler manage to convey an intuitive understanding for such typical GR "paradoxes" such as the fact that the same "event" (the crossing over of an object through the event horizon) can be seen to take 15 minutes, or forever, depending on who's watching it.
Because of what it omits, this book is not a complete presentation of GR. It does present the most fun part of GR, however, in a way that is mathematically accessible.
Along the way, a few side questions are adddressed, like "How painful would it be to be squished/torn apart as I fall into a black hole?" A lot of time is also spent explaining how the weird trajectories of light within the event horizon will transmogrify what is seen by the observer.
This is a great book and a lot of fun. I am also left with a greater motivation to go back to a more complete presentation, to be convinced that "this is where you have to end up". Although much longer, this book is a worthy successor to the original output of this dynamic duo, "Spacetime Physics".
Book Description
General relativity is a cornerstone of modern physics, and is of major importance in its applications to cosmology. Plebanski and Krasinski are experts in the field and provide a thorough introduction to general relativity, guiding the reader through complete derivations of the most important results. Providing coverage from a unique viewpoint, geometrical, physical and astrophysical properties of inhomogeneous cosmological models are all systematically and clearly presented, allowing the reader to follow and verify all derivations. Many topics are included that are not found in other textbooks.
Book Description
In a relatively simple presentation that remains close to familiar concepts, this text for upper-level undergraduates and graduate students introduces modern developments of quantum field theory. "Combines thorough knowledge with a high degree of didactic ability and a delightful style." — Mathematical Reviews. 1961 edition.
Customer Reviews:
Clear and thorough introduction .......2007-05-23
I used this book as an undergrad many years ago in honors first-year physics (along with Purcell's excellent E&M book from the Berkeley Physics Series), and have referred to it from time to time since. It's a clear, patient, matter-of-fact introduction to the subject which takes the time to clarify many of the obscure and seemingly contradictory aspects of special relativity. It's written about at the level of the famous Halliday and Resnick university physics books. I found the book to be very useful as an introduction. If you already know the subject, and need an advanced reference, this will be too basic, but as the title says, it's an "Introduction".
Average customer rating:
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Classical Mechanics: A Modern Introduction
Martin W. McCall
Manufacturer: Wiley
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ASIN: 0471497142 |
Book Description
Classical Mechanics is a clear introduction to the subject, combining a user-friendly style with an authoritative approach, whilst requiring minimal prerequisite mathematics - only elementary calculus and simple vectors are presumed. The text starts with a careful look at Newton's Laws, before applying them in one dimension to oscillations and collisions. More advanced applications - including gravitational orbits, rigid body dynamics and mechanics in rotating frames - are deferred until after the limitations of Newton's inertial frames have been highlighted through an exposition of Einstein's Special Relativity. The examples given throughout are often unusual for an elementary text, although they are made accessible through discussion and diagrams. Complete revision summaries are given at the end of each chapter, together with problems designed to be both illustrative and challenging.
Features:
* Comprehensive introduction to classical mechanics and relativity
* Many novel examples, e.g. stability of the universe, falling cats, crickets bats and snooker
* Includes many problems with numerical answers
* Revision notes at the end of each chapter
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An Introduction to Quantum Field Theory (Frontiers in Physics)
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