Algorithmic Trading provides an understanding of the core concepts in quantitative trading, an understanding of the process of using mathematics and statistics to analyze the profitability of a trading model, a hands on experience of how backtesting is done, and an understanding of pair trading in stocks, ETFs, futures and currencies. Chan shows investors how to use Excel and MatLab to build their own algo trading tools, as well as FX1, an FX trading platform growing in popularity.He also shows investors how to conduct quantitative research and analysis, and turn quantitative trading strategies into profits using stocks, ETFs, futures, and other financial instruments.
In that vein, Ernest P. Chan's books will give you the toolkit to begin, and then you can figure out the rest as-needed. Quantitative Trading (2nd), Chan I believe is the first in the series. Algorithmic Trading I believe is the second. And Machine Trading is the last.
http://www.amazon.com/Quantitative-Trading-Build-Algorithmic...
Chan's blog is informative as well,
Maths:
James Stewart's Precalculus
Spivak's Calculus
How to Solve It
Godel, Escher, Bach: An Eternal Golden Braid
I Am a Strange Loop
Introduction to Linear Algebra
Euclid's Elements
The Principia: The Authoritative Translation and Guide: Mathematical Principles of Natural Philosophy
CS:
The Algorithm Design Manual
Finish SICP
Computer Networking: A Top Down Approach
Computer Systems: A Programmer's Persepctive
C Programming: A Modern Approach, 2nd Edition
Operating Systems: 3 Easy pieces
Advanced Programming in the UNIX Environment
Hacking: The Art of Exploitation
The Elements of Computing Systems: Building a Modern Computer from First Principles
Compilers: Principles, Techniques, and Tools
Lions' Commentary on Unix
TCP/IP Illustrated
Finance/Econ/Business:
Liar's Poker
Investor Z (Manga)
Trading & Exchanges
Dynamic Hedging: Managing Vanilla and Exotic Options
Python for Finance: Mastering Data-Driven Finance
Never Split the Difference: Negotiating as if Your Life Depended on it
Alpha Masters
Fooling Some of the People All of Time
Dark Pools
When Genius Failed
Advances in Financial Machine Learning
Algorithmic Trading
Other:
Getting Things Done: The Art of Stress-Free productivity
Mythology: Timeless Tales of Gods and Heroes
Chaos: Making a New Science
Networks, Crowds, and Markets: Reasoning about a Highly Connected World
Data and Reality: A Timeless Perspective on Perceiving and Managing Information in Our Imprecise World