Reddit reviews Stochastic Calculus for Finance I: The Binomial Asset Pricing Model (Springer Finance)
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Some light reading to get you started on your way to be a quant:
Stochastic Calculus for Finance: The Binomial Asset Pricing Model
Stochastic Calculus for Finance: Continuous-Time Models
Stochastic Implied Volatility: A Factor-Based Model
Methods of Mathematical Finance (Stochastic Modelling and Applied Probability)
Pairs Trading: Quantitative Methods and Analysis
Alpha Trading: Profitable Strategies That Remove Directional Risk
The Encyclopedia of Trading Strategies
Evidence-Based Technical Analysis
what specifically are you interested in?
https://www.quantnet.com/threads/quantnet-best-selling-books-of-2012.12190/
https://www.quantnet.com/threads/master-reading-list-for-quants-mfe-financial-engineering-students.535/
http://www.nuclearphynance.com/Show%20Forum.aspx?ForumIDKey=8
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http://www.cs.sunysb.edu/~skiena/691/
http://developers.opengamma.com/quantitative-research
http://www.thalesians.com/finance/index.php/Reading_List
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http://www.amazon.com/Primer-Mathematics-Financial-Engineering-Second/dp/0979757622/
commonly heard: "Just read Hull OFOD" http://www.amazon.com/Options-Futures-Derivatives-DerivaGem-Package/dp/0132777428/
http://www.amazon.com/Stochastic-Calculus-Finance-Binomial-Textbooks/dp/0387249680/
I am sure a quick google search will give you an introduction to what quant is all about. Here is some stuff you can use:
http://www.untag-smd.ac.id/files/Perpustakaan_Digital_1/FINANCE%20Paul%20Wilmott%20Introduces%20Quantitative%20Finance%200470319585.pdf (Long ass read, but Paul is all you basically need for Quant Fin stuff) -> Skim through topics to see what background you need.
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"But that is a lot, you're confusing me even more"
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https://the55thfx.com/ebooks/QA.pdf (Suitable for Sunday Afternoon Pina Colada)
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"Alright stop flexing mathematics and statistics, too hard"
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http://www.mysmu.edu/faculty/christophert/QF101/QF101_Week03_Principles%20of%20Quantitative%20Finance.pdf (Very nice comparison of Physics and Quant Finance - something I have screamed before on how they are so related)
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Other reads: (May not be free)
https://www.amazon.ca/Financial-Mathematics-Comprehensive-Giuseppe-Campolieti/dp/1439892423
https://www.amazon.ca/Stochastic-Calculus-Finance-Binomial-Pricing/dp/0387249680
https://www.amazon.com/Undergraduate-Introduction-Financial-Mathematics-Third/dp/9814407445
Not sure how it's taught at OP's uni, but for undergraduate Financial Mathematics at my school uses this book.
I am also looking to take it as well, and the professor teaching that class warned me that we wouldn't really be going into the nitty gritty of finance.