Between Hawking &amp; Ellis and Wald, which one would be the better choice to follow up a graduate-level course in GR (based off of Carroll's book)?  If not either of those two, does anyone have any suggestions? I'm interested in those two not only because of the physics they present but also because of their rigor (I'm a post-grad mathematician).
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What are some good books for learning general relativity?
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What are some of the best books on graph theory, particularly directed towards an upper division undergraduate student who has taken most the standard undergraduate courses? I'm learning graph theory as part of a combinatorics course, and would like to look deeper into it on my own. Thank you.
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What is a good textbook on statistical field theory,  with an emphasis on applications to non-equilibrium phenomena?  I am a final-year undergraduate, have already taken introductory classes in statistical physics and quantum mechanics but do not know a lot of quantum field theory yet. I would like to better understand nonequilibrium phenomena, phase transitions and spontaneous symmetry breaking in condensed matter systems.
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I would like to find a book that introduces me gently to the subject of stochastic processes without sacrificing mathematical rigor. It would be great if the book has lots of examples and that the book is designed for undergraduates. Just like how there are rigorous undergraduate abstract algebra books (I am thinking of GAllian's contemporary modern algebra here).   I already studied measure theory, and prob. theory.  Thank you.
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I've been looking for questions about dark matter, and I've read some very interesting answers. However, I desire too look into it deeply.   This is not actually a question. I'm asking the community to recommend interesting references to understanding dark matter and dark energy.   I accept all sort of references: notes, books, scientific papers etc.  Let us assume some background on classical physics, thermodynamics and basics about quantum theory.
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Edit:  Ok, user  made comment that truly helps narrow the focus of my question. Basically, I'm asking for a self-study course of Mathematical Methods.  Thanks to his recommendation I identified a book that is very close to the answer:  Mathematical Methods in the Physical Sciences by Mary L. Boas  Supposedly, the book covers most of the Math a person needs to learn in order to understand the simulations I presented.  Does this book suit my needs?    Hello,  I have always been interested on the idea to study Math at an Undergraduate level to be able to implement simulations like the followings:  Finite Difference Simulation of the Wave Equation    Heat Equation in Two Dimensions    Besides my precollege experience in Math, I have only been able to do very simple simulations due to my lack of knowledge of Advanced Math. Every time I ask about the inner workings of the simulations I get redirected to papers that look like foreign language to me and, unfortunately, I depend on easy-to-read tutorials to understand them, and while I have found   I'm more interested in reaching the solution myself.  I checked some of the questions related to book recommendations for self-study and while they are very helpful I'm interested in learning by example (There is a book called: "Accelerated C++ Practical Programming by Example" that fits very well my study habits)  Thanks in advance.
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I'm not really far into the  but already have an important question: are there formulations that can do without spacetime curvature and describe the general theory of relativity/all associated gravitational effects in global ? Idea: Einstein chose spacetime curvature so that one had not to build gravitational effects into the rest of physics equations like Maxwell's equations. I assume that spacetime curvature provides a convenient way to apply physics laws not related to gravity unmodified locally because .  Please correct me everywhere I am wrong.
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What would you consider the best online resources for learning the 3+1  and gauge invariant perturbation theory in cosmology? (Assuming intermediate level GR and QFT familiarity)
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Does anyone have any suggestions for abstract algebra books particularly suited to self-study?     Here is some background and motivation, if it's helpful.  I'm currently a junior in high school, but I have some familiarity with groups, rings, polynomials and fields, as I went through Fraleigh's book. I liked its writing style, but many of the problems were not helpful. I would like to get better at algebra with some other book, particularly one that's aimed at someone who already has a little familiarity with the objects, but is by no means completely comfortable.  One of my longer-term goals is to learn a bit of algebraic number theory, as I've only been studying elementary number theory. That's why I feel it  good to learn more algebra first. (I'd also be interested in suggestions of other good subjects to learn prior to tackling algebraic number theory.)  I was considering using one of Lang's books, since they seem pretty universal, but I've heard rumors that they are very terse and not good for self-learning.
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I was asked to read about Graph Theory. First got the book "Graph Theory with Applications" by Bondy and Murty. As a Computer Science student its becoming difficult to read and understand. Then I started reading "Graph Theory-Modeling, Applications and Algorithms" by Agnarsson and Greenlaw. They presented the same topics little bit easier but from a different point of view. I found the definitions are bit different. But they essentially mean the same.  I am looking for some books on Graph Theory for a Computer Science student from a beginner point of view. I am looking for books like "Graph Theory-Modeling, Applications and Algorithms".
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I want to delve into Cartan's formulation of General Relativity but it don't really know where to look. Does anyone have any book suggestions?
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I'm interested in learning physics. I do realize that the subject is large and that it would be easier if I had a specific area of interest. However, I do not. I suppose I want to learn about the fundamentals of it all; the axioms that combine all physics fields. Or, in other words, a high school physics class.   Specifically, a book or series of videos would be helpful. I looked over MIT and unfortunately the material wasn't for me. I don't mean to be "picky" so I am not completely ruling out any resource just yet.   Thanks in advance.
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What is currently stopping us from having a theory of everything? i.e. what mathematical barriers, or others, are stopping us from unifying GR and QM? I have read that string theory is a means to unify both, so in this case, is it a lack of evidence stopping us, but is the theory mathematically sound?
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In  question, An Introduction to the Theory of Groups by Rotman is recommended twice as a good second-course group theory text.  However, after reading the reviews , and seeing  pdf of what seems to be corrections to Rotman, I am pretty concerned about the apparently many errors in the text.  While some errors and their corrections may be pretty self-evident, I would hate to constantly be worrying about developing some misconception as a result of some fact that isn't presented quite as it should be.     To those who have read An Introduction to the Theory of Groups by Rotman: do you feel the errors are a serious concern/disruption to the flow of the text, or is the book still pretty navigable?   Also recommended in the question linked to above was  by Robinson.  I really like the look of this text, based on the table of contents and the group-theoretic concepts that really interest me.  The Robinson text is said (in the linked-to question) to 'move pretty quickly into deeper waters.'  My background consists of basic group theory, ring theory, field theory, a little Galois theory, linear algebra, topology, real analysis, and graph theory (I have seen a decent amount of material and have been self-studying for a few years now).       Do you think that I can reasonably wade into these deeper waters without going in over my head and drowning?  I realize this is a little subjective since no one knows my exact abilities, but I love group theory and am definitely willing to put some real effort into it.   Thanks in advance for the advice.
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I am a mathematics major without any undergraduate level courses in physics. I am lately interested in physics. Is there any chance for me to go into good theoretical physics graduate program without any background in physics?   I am not sure if this kind of question is acceptable here, though.  ADDED My concern is do Universities even accept students with math majors into physics department without physics courses?
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I was very inspired by Michio Kaku's  on the possibilities of quantum computing and also listening to Talia Gershon's  on it.   As I come from a business &amp; analytics background, what materials can I begin exploring to prepare to learn more about the field of quantum computing? Eg. what would I need to study to understand Peter Shor's algorithm,  on physics, etc.
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I found Sean Carroll's "A No Nonsense Introduction to General Relativity" (about page .  pdf ), a 24-page overview of the topic, very helpful for beginning study.  It all got me over the hump of learning the meaning of various terms associated with GR, most of which I had heard before without understanding.  It also outlined the most important examples.  Is there a similar document for quantum field theory, which presents the main equations, briefly describes the main ideas, and summarizes the most important applications and results so that the reader can feel the lay of the land before studying in depth?