Interest Rate Models - Theory and Practice: With Smile, Inflation and Credit
by Damiano Brigo and Fabio Mercurio
Bet Smart: The Kelly System for Gambling and Investing
by Stefan Hollos and Richard Hollos

Our very own book. A mathematical examination of the Kelly system. Introductory review chapter on probability for analyzing gambling systems.

Debunking Economics: The Naked Emperor of the Social Sciences
by Steve Keen
The Money Changers: A Guided Tour Through Global Currency Markets
by Robert G. Williams

A patchwork quilt of interviews with people involved in foreign exchange. In between is commentary. The interviews component of the book was the most interesting. A broad spectrum of interviewees: from a forex trader at a New York City bank, to an architect of the transition to Euro working in London.

More Money Than God: Hedge Funds and the Making of a New Elite
by Sebastian Mallaby

A history of hedge funds. Written superbly well. Major flaw: no mention of Ed Thorp.

Paradigms of Artificial Intelligence Programming: Case Studies in Common Lisp
by Peter Norvig
Introduction to Applied Mathematics
by Gilbert Strang

Introduction to Matrix Analysis
by Richard Bellman
The New Market Wizards: Conversations With America's Top Traders
by Jack D. Schwager
Market Wizards: Interviews with Top Traders
by Jack D. Schwager

This and its sequel are essential for new traders.


Dynamic Economic Systems: A Post-Keynesian Approach
by John M. Blatt
The Black Swan: Second Edition
by Nassim Nicholas Taleb

Fortune's Formula: The Untold Story of the Scientific Betting System That Beat the Casinos and Wall Street
by William Poundstone

Surely the most entertaining book on risk management ever. Non-mathematical. The author attempts to make the case that the Kelly system of betting is the most practical (i.e. minimizes risk, maximizes profit).


The Predictors: How a Band of Maverick Physicists Used Chaos Theory to Trade Their Way to a Fortune on Wall Street
by Thomas A. Bass

An example that those knowledgeable in math, physics, and programming, can have a tremendous advantage in finance. The subjects of this book show just how much the advantage can be worth.


Your Money and Your Brain: How the New Science of Neuroeconomics Can Help Make You Rich
by Jason Zweig

The theme of this book is humans are not rational, but they are predictable. It's packed with examples of this, most related to making money, many not.

Theory of Games and Economic Behavior
by John von Neumann and Oskar Morgenstern
Why Stock Markets Crash: Critical Events in Complex Financial Systems
by Didier Sornette
Probability Theory: The Logic of Science (Vol 1)
by E. T. Jaynes

Numerical Recipes 3rd Edition: The Art of Scientific Computing
by William H. Press, Saul A. Teukolsky, William T. Vetterling and Brian P. Flannery

Derivatives : The Theory and Practice of Financial Engineering
by Paul Wilmott
Hedgehogging
by Barton Biggs

Both highly entertaining and educational. A distillation of the author's 50 years in the hedge fund business. Contains the most recondite words ever found in a finance book.

Dynamic Term Structure Modeling: The Fixed Income Valuation Course & CD-ROM
by Sanjay K. Nawalkha, Gloria M. Soto and Natalia K. Beliaeva
A History of Interest Rates, Fourth Edition
by Sidney Homer
Matrix Analysis for Statistics
by James R. Schott
Interest Rate Risk Modeling : The Fixed Income Valuation Course
by Sanjay K. Nawalkha, Gloria M. Soto and Natalia K. Beliaeva
Against the Gods: The Remarkable Story of Risk
by Peter L. Bernstein

The greatest value in this book is that it's packed with the author's knowledge of finance, from 63 years of experience.


An Introduction to Probability Theory and Its Applications, Vol. 2
by William Feller

An Introduction to Probability Theory and Its Applications, Vol. 1, 3rd Edition
by William Feller
Elements of Information Theory 2nd Edition
by Thomas M. Cover and Joy A. Thomas
Fixed Income Securities: Tools for Today's Markets, Second Edition, University Edition
by Bruce Tuckman
Fixed-Income Securities: Valuation, Risk Management and Portfolio Strategies
by Lionel Martellini, Philippe Priaulet and Stephane Priaulet
An Introduction to International Capital Markets: Products, Strategies, Participants
by Andrew M. Chisholm
Reminiscences of a Stock Operator Annotated Edition
by Edwin Lefèvre

Time Series Analysis: Forecasting and Control
by George E. P. Box, Gwilym M. Jenkins and Gregory C. Reinsel
My Life as a Quant: Reflections on Physics and Finance
by Emanuel Derman
The Commitments of Traders Bible: How To Profit from Insider Market Intelligence
by Stephen Briese

A technical look at COT data for reading the tea leaves. Uses unusual indicators with analogy to Newtonian mechanics.

Fixed Income Securities: Valuation, Risk, and Risk Management
by Pietro Veronesi
The Handbook of Municipal Bonds
by Sylvan G. Feldstein and Frank J. Fabozzi
Fixed income analysis
by Frank J. Fabozzi

The Misbehavior of Markets: A Fractal View of Financial Turbulence
by Benoit Mandelbrot

Beat the Market: A Scientific Stock Market System
by Edward O. Thorp
The Art of Strategy: A Game Theorist's Guide to Success in Business and Life
by Avinash K. Dixit and Barry J. Nalebuff
The Greatest Trade Ever: The Behind-the-Scenes Story of How John Paulson Defied Wall Street and Made Financial History
by Gregory Zuckerman

About those who, starting around the year 2005, realized that they could benefit financially from the unsustainable upward trajectory of U.S. residential real estate prices. Good level of detail on the trades.

When Genius Failed: The Rise and Fall of Long-Term Capital Management
by Roger Lowenstein

The Crash and Its Aftermath: A History of Securities Markets in the United States, 1929-1933
by Barrie A. Wigmore
The Quants: How a New Breed of Math Whizzes Conquered Wall Street and Nearly Destroyed It
by Scott Patterson

A description of how several quantitative hedge funds operate. Best thing is the coverage of Ed Thorp and Jim Simons. The rest are a herd of cows.


Genetic Programming: On the Programming of Computers by Means of Natural Selection
by John R. Koza
Introduction to Algorithms, Third Edition
by Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest and Clifford Stein

Introduction To The Theory Of Neural Computation, Volume I
by John A. Hertz, Anders S. Krogh and Richard G. Palmer

Investment Science
by David G. Luenberger
Bond Markets, Analysis, and Strategies (7th Edition)
by Frank J. Fabozzi
The Secrets of Economic Indicators: Hidden Clues to Future Economic Trends and Investment Opportunities, 2nd Edition
by Bernard Baumohl
The Theory of Gambling and Statistical Logic, Second Edition
by Richard A. Epstein

Markov Processes: An Introduction for Physical Scientists
by Daniel T. Gillespie
The Strategic Bond Investor: Strategies and Tools to Unlock the Power of the Bond Market
by Anthony Crescenzi and Mohamed El-Erian
Trade Your Way to Financial Freedom
by Van Tharp

Aims to help you develop your own trading system. Non-mathematical. Focuses a lot on psychology since the author is a psychologist.

The Handbook of Mortgage-Backed Securities
by Frank Fabozzi
Fixed Income Mathematics, 4E: Analytical & Statistical Techniques
by Frank Fabozzi
The Treasury Bond Basis: An in-Depth Analysis for Hedgers, Speculators, and Arbitrageurs
by Galen Burghardt and Terry Belton
Stigum's Money Market, 4E
by Marcia Stigum and Anthony Crescenzi
The Handbook of Fixed Income Securities
by Frank Fabozzi

Bull! : A History of the Boom, 1982-1999: What drove the Breakneck Market--and What Every Investor Needs to Know About Financial Cycles
by Maggie Mahar

An extraordinarily well crafted history of the last great bull cycle in the U.S. stock market. Great job elaborating on its causes.

Linear Algebra and Its Applications
by Gilbert Strang