Some expert (physicist, working partly in finance) recommended me the book: Jean-Philippe Bouchaud, Marc Potters (2003). Theory of Financial Risk and Derivative Pricing: From Statistical Physics to Risk Management [Amazon][1] It is [econophysics][2] approach to analysis of financial markets. It uses quite advanced mathematics including random matrices, stable distributions and so on. One can also look for the papers by these authors in [arxiv][3]. Another expert recommended me the following site: http://www.opentradingsystem.com/quantNotes/main.html about quantative finances, and the book " [High-Frequency Trading. A Practical Guide to Algorithmic Strategies and Trading Systems][4]" IRENE ALDRIDGE [1]: http://www.amazon.com/Theory-Financial-Risk-Derivative-Pricing/dp/0521741866/ref=sr_1_fkmr0_1?s=books&ie=UTF8&qid=1359053375&sr=1-1-fkmr0&keywords=Jean-Philippe+Bouchaud%2C+Marc+Potters+%282003%29.+Theory+of+Financial+Risk+and+Derivative+Pricing.+Cambridge+University+Press++%5BAmazon%5D%5B1%5D [2]: http://en.wikipedia.org/wiki/Econophysics [3]: http://arxiv.org/find/all/1/all%3A+AND+Bouchaud+Potters/0/1/0/all/0/1 [4]: http://www.amazon.com/High-Frequency-Trading-Practical-Algorithmic-Strategies/dp/1118343506/ref=sr_1_1?s=books&ie=UTF8&qid=1359054076&sr=1-1&keywords=High-Frequency+Trading.+A+Practical+Guide+to+Algorithmic+Strategies+and+Trading+Systems