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Quantitative Finance
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Options, Futures, and Other Derivatives (5th Edition)Options, Futures, and Other Derivatives (5th Edition) by John C. Hull
Buy used from: $44.45
Excellent to understand derivatives and, to a large extent, the mathematics behind them. Great perspective of derivatives markets. The chapters on numerical methods are useful.
The Econometrics of Financial MarketsThe Econometrics of Financial Markets by John Y. Campbell
Buy new: $84.00 / Used from: $63.48
Great coverage of methods to estimate diffusions.
Investment under UncertaintyInvestment under Uncertainty by Avinash K. Dixit
Buy new: $76.00 / Used from: $59.94
The Bible for real options.
Stochastic Optimization in Continuous TimeStochastic Optimization in Continuous Time by Fwu-Ranq Chang
Buy new: $52.20 / Used from: $70.07
Cookbook approach to continuous-time models. Applications are not exclusive to finance.
Theory of Financial Decision MakingTheory of Financial Decision Making by Jonathan E. Ingersoll
Buy new: $81.60 / Used from: $68.00
Not as hard as Duffie but not an easy read. Rigorous treatment of finance.
Dynamic Asset Pricing Theory, Third Edition.Dynamic Asset Pricing Theory, Third Edition. by Darrell Duffie
Buy new: $80.00 / Used from: $64.99
Not very useful to develop intuition, though at a lower level than pure mathematical finance books.
Brownian Motion and Stochastic Calculus (Graduate Texts in Mathematics)Brownian Motion and Stochastic Calculus (Graduate Texts in Mathematics) by Ioannis Karatzas
Buy new: $48.31 / Used from: $39.00
The Bible of stochastic calculus.
Methods of Mathematical FinanceMethods of Mathematical Finance by Ioannis Karatzas
Buy new: $63.96 / Used from: $17.00
Unified-field approach to mathematical finance. Not useful to learn finance.
Monte Carlo Methods in Financial Engineering (Stochastic Modelling and Applied Probability)Monte Carlo Methods in Financial Engineering (Stochastic Modelling and Applied Probability) by Paul Glasserman
Buy new: $55.96 / Used from: $45.00
Useful to apply continuous-time finance methods.
Continuous-Time Finance (Macroeconomics and Finance)Continuous-Time Finance (Macroeconomics and Finance) by Robert C. Merton
Buy new: $68.95 / Used from: $30.94
A classic of the literature. It has sentimental value.
My Life as a Quant: Reflections on Physics and FinanceMy Life as a Quant: Reflections on Physics and Finance by Emanuel Derman
Buy new: $19.14 / Used from: $8.88
If you started as an academic and moved to the financial sector, this is a must read. I read it shortly after making the change and it helped me a lot.
A First Course in Stochastic Processes, Second EditionA First Course in Stochastic Processes, Second Edition by Samuel Karlin
Buy new: $91.20 / Used from: $65.00
Great to learn stochastic processes.
A Second Course in Stochastic ProcessesA Second Course in Stochastic Processes by Samuel Karlin
Buy new: $86.40 / Used from: $70.30