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Financial Mathematics and Probability References
Books on mathematical finance appear at a rate
of about one book per week. The list below
is not complete at all but may serve
as a good starting point.
- Financial mathematics
- M. Baxter, A. Rennie ``Financial Calculus. An Introduction
to derivative pricing''
- J. Cvitanic and F. Zapatero ``Introduction to the
Economics and Mathematics of Financial Markets''
- D. Duffie ``Security Markets. Stochastic models''
- V. Goodman and J. Stampfli "The Mathematics of Finance:
Modeling and Hedging"
- J.C. Hull ``Options, Futures, and Other Derivatives''
- I. Karatzas ``Lectures on the Mathematics of Finance''
- I. Karatzas and S. Shreve "Methods of Mathematical
Finance"
- R. Korn and E. Korn ``Option Pricing and Portfolio
Optimization''
- D. Lamberton and B. Lapeyre ``Introduction to Stochastic
Calculus Applied to Finance''
- T. Mikosch ``Elementary Stochastic Calculus with Finance in View''
- M. Musiela and M. Rutkowski
``Martingale Methods in Financial Modelling''
- S.N. Neftci ``An Introduction to Mathematics
of Financial Derivatives''
- A.N. Shiriaev
``Essentials of Stochastic Finance : Facts, Models, Theory''
- S. Shreve
``Stochastic Calculus for Finance'', vol I and II
- R.J. Williams ``Introduction to the Mathematics of Finance''
- P. Wilmott, S. Howison, J. Dewynne
``The Mathematics of Financial Derivatives. A Student Introduction''
- D. Wong ``Generalised Optimal Stopping Problems
and Financial Markets''
- Undergraduate probability
- Paul G. Hoel, Sidney C. Port and Charles J. Stone.
``Introduction to probability theory''
- S. Karlin and H.M. Taylor
``A First Course in Stochastic Processes''
- S. Karlin and H.M. Taylor
``A Second Course in Stochastic Processes''
- Graduate probability
- K.-L. Chung ``A course in probability theory''
- R. Durrett ``Probability: theory and examples''
- Stochastic analysis
- R.F. Bass ``Probabilistic Techniques in Analysis''
- K.L. Chung and R.J. Williams.
``Introduction to stochastic integration''
- I. Karatzas and S.E. Shreve
``Brownian Motion and Stochastic Calculus''
- T. Mikosch ``Elementary stochastic calculus with finance in view''
- B. Øksendal ``Stochastic differential
equations. An introduction with applications''
- L.C.G. Rogers and D. Williams
``Diffusions, Markov Processes and
Martingales, Vol. 2: Ito Calculus''
- D. Williams ``Diffusions, Markov Processes and
Martingales, Vol. 1: Foundations''
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