Here's a list:
http://stackoverflow.com/questions/388242/the-definitive-c-book-guide-and-list
Is this your first programming language? Then please do not start with C++. Start with something like Python or Ruby -- it is far more accessible. You can move on to C++ at a later stage.
Great read and a good book. Lots of topics and a refreshing look on QFT. Highly recommend it.
One caveat: you cannot learn QFT from this book. It simply does not dive into any details of the calculations. It's great as a supplement, but keep in mind that no course on QFT will ever use this...
This massive book on QFT is a standard text nowadays and used at many universities. The book is extensive and very detailed. If you manage to follow the text and keep up with all the nitty-gritty details, then you are well underway into mastering QFT -- but this is quite a challenge. The book is...
Three books on R used in the context of finance and statistics are:
Cryer - Introductory Statistics with R
Chan - Time Series -- Applications to Finance with R and S-Plus
Zivot, Wang - Modelling Financial Time Series with S-Plus
And some mathematical background:
Brockwell, Davis -...
You have to be careful here. You're probably using a coherent-state basis, which is a basis corresponding to eigenvalues of the field operators. This basis is overcomplete, so you need a compensating factor for this. Look at for instance Altland and Simons.
The chiral boson in 2D was introduced e.g. by Floreanini and Jackiw (see here: http://prl.aps.org/abstract/PRL/v59/i17/p1873_1 ). In particular eq. 20 is the Lagrangian of the 2D chiral boson.
There is also a relativistic version I believe (or, at least, a more covoriant notation), which is I...
What area of finance are you interested in? One area frequently linked to more fancy math is that of financial derivatives, or more general the area of quantitative risks. Check out:
http://www.markjoshi.com/RecommendedBooks.html
More interested in a general exposé? Check out:
Buchanan -- An...
There's a two-volume book by Toda, Kubo + third author. First part is on equilibrium, second one on non-equilibrium statistical mechanics. Great graduate texts.
In Geophysics it's all about the data -- noise filtering, time series analysis, stuff like that. You do a lot of field work (from day trips to a whole month), but spent the majority of your remaining time processing this data. So expect a lot of data analysis, lots of programming and of course...
The next quantity you can define to characterize a function or data set would be something like "the average deviation from the average". The way you define it is as:
\frac{1}{b-a}\int_{a}^b f(x) (x - c) dx
where c is the average value of f(x), defined by your integral.
This expression is...
I'm looking for any kind of reference on a multivariable generalization of a (confluent) hypergeometric function.
In particular, Horns list is a list of 34 two-variable hypergeometric functions, 20 of which are confluent. Then one of these has the following series expansion:
\Phi_2(\beta...