# Tag Info

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Along with Landau and Lifshitz, there are books which although not explicitly about classical field theory, have good treatments. Chapters 11 and 12 of Jackson's Classical Electrodynamics are about special relativity and field theory, and I would recommend Goldstein's Classical Mechanics as an introduction, where field theory is introduced in some of the ...

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By "manifold", if you mean "flows along non-Euclidian surfaces" then there are several scientific but applicative papers online from the CG field, e.g. this one published at ACM Siggraph'03 / Transaction on Graphics: http://www.autodeskresearch.com/pdf/surfflow.pdf ( in this field papers are often 8 pages with figures and images of results, and since the ...

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Gas mass $(5.5 \pm 0.6) \times 10^{14} (H_0/50)^{-5/2} M_{\odot}$ within $5(H_0/50)^{-1}$ Mpc, where $H_0$ is the Hubble parameter in km/s per Mpc - Hughes (1989). Or $(5.1 \pm 1.5) \times 10^{14} (H_0/50)^{-5/2} M_{\odot}$ within $5(H_0/50)^{-1}$ Mpc - Briel et al. (1992).

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I think the best book ever written on QM which makes the fundamentals crystal clear with a full mathematical consistency is Modern Quantum Mechanics by J. J. Sakurai. If you master this book than finding notational mistakes and even logical errors on anything written about QM becomes like eating popcorn while watching a Bruce Willis movie.

2

There's a book by Sudbery called "Quantum Mechanics and the Particles of Nature", subtitled "An Outline for Mathematicians". This would seem to be just what you're looking for. I'd also highly recommend Dirac's Principles of Quantum Mechanics. The math isn't always completely rigorous, but he thinks like a mathematician. At the same time, he frequently ...

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Since the question is "can you recommend a book that talks about these topics with minimal math," the answer is no. It would be even more confusing to describe quantum information and quantum computing without math than with the math, as the concepts aren't as intuitive as say general relativity, which can fairly effectively be described with mostly words. ...

1

Once you have an understanding of fluid mechanics, the two best books for CFD specifically that I have used are: Computational Fluid Dynamics by John Anderson. I don't know if you have ever used any of Anderson's fluid dynamics books, but I highly recommend all of them. His books are all very readable and spend most of the text describing what to do rather ...

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The book I learned from decades ago was Sabersky and Acosta "Fluid Flow: a First Course in Fluid Mechanics". There are a number of basic concepts: Continuity: mass within a bounding volume, as a function of mass flows across the boundaries. Streamlines and the stream function. Equations of motion with and without viscosity. The Bernoulli equation relating ...

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In addition to the books already listed there is the nice (excellent in my opinion) textbook by Friedlander and Joshi, Introduction to the theory of Distributions

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Assuming you mean the enthalpy of combustion, carbon dioxide doesn't combust. That is it does not react with oxygen to produce water and carbon dioxide. Therefore it has no enthalpy of combustion. Did you mean carbon monoxide?

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I think Shankar's Principles of Quantum Mechanics contains decent exercises that promote understanding of the material, many of which are proofs and derivations rather than simply computations.

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As you mentioned memristance governs nonlinear behavior of electric or magnetic circuit based on the amount of electric charge which has passed through it. In this paper Strukov et al. from HP labs described properties of memristors and provided fundamental mathematical model. As a physical model they employed metal/oxide/metal circuit where metal is Pt and ...

2

First of all, if you are dealing with a network of finite number of resistors, try redrawing it in some form in which you'll be able to recognize the parallel or series connections. Secondly, take a look at Delta-Y Transform which might be really helpful in some cases. If these fail, turn to Kirchoff's laws i.e. put a test generator between the points ...

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To start with, there is no canonical approach to quantum gravity, rather, there are different quantisation procedures (as for all the other interactions), which do or do not fail for this or that other reason without having to go to black hole entropy. The standard quantisation procedure by means of the path integral fails simply because it is not ...

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As someone working in the field I recommend to start with The physics of musical instruments by Rossing and Flectcher. There is also an extension called The non-linear physics of musical instruments. I also recommend Cremer's The physics of the violin, and Mechanics of Musical In- struments edited by A. Hirschberg, J. Kergomard, and G. Weinreich. For futher ...

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Chebyshev polynomials are also used in observations of oscillation phenomena, a notable example being the systems of two independent oscillators which plot the Lissajous curves. Chebyshev polynomials arise naturally when considering Lissajous curves with $a=1$ and $b=N$, which turn out to be Chebyshev polynomials of the first kind of degree N. Anyone who's ...

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The Legendre polynomials arise naturally when solving the Poisson equation for a system with spherical symmetry (such as the hydrogen atom). The Bessel functions arise naturally when solving the Poisson equation for a system with cylindrical symmetry. In essentially the same way, the Chebyshev equation and its solutions arise when you consider a problem ...

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Despite the similarity of Chebyshev's equation with Legendre's equation, it does not occur often in physics or engineering, however, solutions of Chebyshev's equation are of much importance in topics of numerical analysis such as solution to partial differential equations, smoothing of data and others. While, on the other hand, its close associate Legendre's ...

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I think the following link will be your best bet at finding a free book on this topic: http://www.plouffe.fr/simon/math/Artin%20E.%20The%20Gamma%20Function%20(1931)(23s).pdf If you're like me and despise reading on PDF's and prefer reading print, The few books I can recommend that won't break your budget are: ...

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It really depends if you are interested in the 2+1 dimensional or the 3+1 dimensional theory. Under the condition that you mean 3+1 dimensions: Nonlinear higher spin theories in various dimensions - X. Bekaert, S. Cnockaert, Carlo Iazeolla, M.A. Vasiliev is a standard reference Elements of Vasiliev theory - V.E. Didenko, E.D. Skvortsov for an ...

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Well, for the harmonic oscillator, you have the full closed answer, so you don't really need numerics. It is, as Groenewold discovered in his 1946 thesis (Thomas L. Curtright, David B. Fairlie, & Cosmas K. Zachos, A Concise Treatise on Quantum Mechanics in Phase Space, World Scientific, 2014. The PDF file is available here.), merely rigid rotation!: ...

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No doubt that a must read on this topic is the classic work by Fradkin and Shenker: http://journals.aps.org/prd/abstract/10.1103/PhysRevD.19.3682 In particular, it was pointed out that for $Z_2$ gauge theories (and I believe for all $Z_n$) the confined phase and the Higgs phase are in fact smoothly connected. There is no sharp phase boundary between the ...

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I don't know if you are still interested in this question, but there is some work in the literature that might be very interesting for you: In this paper they propose an interpretation of the Wigner function as a particular wave function and in this other paper they propose a numerical method to compute the propagation, note that you might be interested in ...

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This may not be exactly what you want, but it does go over some classical field theory and good chuck of differential geometry. http://www.gravity-and-light.org/lectures

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Most graduate text books in Classical mechanics have (as their last two chapters) discussions of perturbation theory in classical mechanics. These (however) are not invariably readable, and will usually restrict the solution to problems that can be described by a Hamiltonian e.g. have no friction or dissipation. Goldstein, "Classical Mechanics" has such a ...

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