Free Books on Mathematics IV (Applied Mathematics)

Applied Mathematics

1. Derivations of Applied Mathematics by Thaddeus H. Black
   
2. Linear Methods of Applied Mathematics by Evans Harrell, and James Herod
   
3. Linear Algebra, Infinite Dimensions, and Maple by James Herod
   
4. generatingfunctionology by Herbert Wilf
   
5. Algorithms and Complexity by Herbert S. Wilf
   
6. A=B by Herbert Wilf, Marko Petkovsek, and Doron Zeilberger
   
7. Applied Math Textbook by Sean Mauch
   
8. Mathematical Tools for Physics by James Nearing
   
9. Applied Mathematics by Peter J. Olver, and Chehrzad Shakiban
   
10. Surveys in Combinatorics
    
11. Computational Complexity: A Conceptual Perspective by Oded Goldreich
    
12. Papers on Combinatorial Enumeration and Asymptotics by Andrew Odlyzko
    
13. Hyperplane Arrangements by Richard Stanley
    
14. Introduction to Statistical Signal Processing by R.M. Gray, and L.D. Davisson
    
15. Applied Abstract Algebra by David Joyner, Richard Kreminski, and Joann Turisco
    

Numerical Analysis

1. Numerical Analysis by Lucio Tavernini
   
2. Finite Element Method/Boundry Element Method by Peter Hunter
   
3. Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods by Richard Barrett, Michael Berry, Tony F. Chan, James Demmel, June Donato, Jack Dongarra, Victor Eijkhout, Roldan Pozo, Charles Romine, and Henk van der Vorst
   
4. Numerical Analysis at the University of Cambridge
   
5. Numerical Mathematics and Scientific Computation by Germund Dahlquist, and Åke Björck
   
6. The Boundary Element Method in Acoustics by Stephen Kirkup
   
7. Computational geometry, mesh generation, numerical methods by Jonathan Shewchuk
   
8. Numerical Analysis by Steven Elliot Pav
   
9. Convex Optimization by Stephen Boyd, and Lieven Vandenberghe
   
10. Optimization by Pravin Varaiya
    

Information Theory

1. Information Theory, Inference and Learning Algorithms by David J. C. MacKay
   
2. A Short Course in Information Theory by David J. C. MacKay
   
3. Primer on Information Theory by Thomas Schneider

Financial mathematics

1. Applied Quantitative Finance by W. Härdle, T. Kleinow, and G. Stahl
   
2. Measure theory, Probability, Stochastic calculus, General theory of processes, Financial mathematics by Rich Bass
   
3. Structural Analysis of Discrete Data and Econometric Applications by Charles F. Manski, and Daniel L. McFadden
   
4. Essential Principles of Economics by Roger McCain
   
5. Game theory examples by Roger McCain
   
6. Discrete Time Finance by Christian Ewald
   
7. Mathematical Finance: Introduction to Continuous Time Financial Market Models by Christian Ewald
   
8. Games, Fixed Points and Mathematical Economics by Christian Ewald
   

Game Theory

1. Gametheory.net
   
2. Determinacy in infinite games by Jindrich Zapletal
   

Cryptography

1. Handbook of Applied Cryptography by Alfred J. Menezes, Paul C. van Oorschot, and Scott A. Vanstone
   
2. Foundations of Cryptography, Vol 1 by Oded Goldreich
   
3. Foundations of Cryptography, Vol 2 by Oded Goldreich
   
4. Cryptography by S. Goldwasser, and M. Bellare
   
5. Introduction to Modern Cryptography by Mihir Bellare, and Phillip Rogaway
   
6. Cryptography and Cryptanalysis by Anna Lysyanskaya
   
7. Modern Cryptography by Mihir Bellare and Phillip Rogaway
   
8. Cryptography and Cryptanalysis by Glenn Durfee
   
9. Coding Theory and Cryptography: From Enigma and Geheimschreiber to Quantum Theory by David Joyner