Machine Learning

• Introduction to Machine Learning by prof a[https://ai.stanford.edu/~nilsson/]{Nils J. Nilsson} (Stanford Artificial Intelligence Laboratory)
• Understanding Machine Learning from Theory to Algorithm by Prof. Shai Shalev-Shwartz from The Hebrew University of Jerusalem
• Bayesian Reasoning and Machine Learning by Prof. David Barber
• Mining of Massive Dataset by Jeffrey D. Ullman from The Stanford University InfoLab
• Nueral Networks by D. Kriesel
• Deep Learning by Ian Goodfellow, Yoshua Bengio and Aaron Courville.
• Natural Language Processing with Python by Bird, Steven Klein, Ewa bn Loper, Edward
• An Introduction to Statistical Learning by Gareth James, Daniela Witten, Trevor Hastie and Robert Tibshirani

Artificial Intelligence (AI)

• THE QUEST FOR ARTIFICIAL INTELLIGENCEA HISTORY OF IDEAS AND ACHIEVEMENTS by prof a[https://ai.stanford.edu/~nilsson/]{Nils J. Nilsson} (Stanford Artificial Intelligence Laboratory)
• Artificial Intelligence by Prof. Patrick Henry Winston. See also: courses.csail.mit.edu
• stanford-cs-221-artificial-intelligence super-cheatsheet

Numerical Analysis

• Numerical Analysis Notes by Lucio Tavernini
• An Introduction to Multigrid Methods by Pieter Wesseling
• Numerical Recipes by William H.Press, Saul A. Teukolsky, William T. Vetterling, Brian P. Flannery
• Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods by Barrett, Richard
• Numerical Analysis at the University of Cambridge
• Numerical Mathematics and Scientific Computation by Germund Dahlquist and Åke Björck
• Computational geometry, mesh generation, numerical methods by Jonathan Shewchuk

Information Theory

• Information Theory, Inference and Learning Algorithms. A Textbook by David J.C. MacKay
• A Short Course in Information Theory - 8 lectures by David J.C. MacKay
• Primer on Information Theory by Thomas Schneider
• Several books ! by G. J. Chaitin (not only Information Theory)

Mathematical Biology

Algorithms

• Algorithms and Complexity by Herbert S. Wilf
• List of books on Algorithms

Financial mathematics

• Applied Quantitative Finance by W. Härdle, T. Kleinow, G. Stahl printing disabled
  Also other non-printable books on the same page
• Measure theory, Probability, Stochastic calculus, General theory of processes, Financial mathematics lectures notes by Rich Bass
• Structural Analysis of Discrete Data and Econometric Applications, editors: Ch. Manski, D. McFadden
• Game theory examples by Roger McCain (html)

Game Theory

• Gametheory.net with lectures on the subject
• Game Theory by Yuval Peres with contribution from David Wilson.
• Linear Methods of Applied Mathematics, by Evans Harrell and James Herod.
• Linear Algebra, Infinweigart

• Introduction to Statistical Signal Signal Processing by R.M. Gray and L.D. Davisson
• Markov Chains and Mixing Times by David A. Levin Yuval Peres Elizabeth L. Wilmer
• Zeros of Gaussian Analytic Functions and Determinantal Point Processes by Ben J. Hough, Manjunath Krishnapur, Balint Virag and Yuval Peres
• Probability on Trees: An Introductory Climb by Yuval Peres, Dimitris Gatzouras and David Levin
• Probability on Trees and Networks (In Progress) by by Russell Lyons with Yuval Peres
• Notes from a course on probability on trees and networks, Berkeley, Fall 2004 by Yuval Peres (Edited by Asaf Nachmias)
• Statistics 205B : Probability Theory II (Notes from a graduate course in probability, Berkeley) by Yuval Peres

Brownian Motion

• Brownian Motion by Peter M ?rters and Yuval Peres

Digital Signal Processing

Softwares and Applications

• Free Your Numbers John W. Eaton, David Bateman, Søren Hauberg
  (Edition 3 for Octave version 3.6.1 February 2011)
• Axiom (The Scientific Computation System).
• Matalab Programming (Wikibooks)
• A Guide to MATLAB (for Beinners and Experienced Users)
• Wolframalpha (computational knowledge engine)