Free Book on Neural Network (Artificial Intelligence)

1. Neural Nets, Kevin Gurney
2. An Introduction to Artificial Neural Networks, C.A.L. Bailer-Jones berg, R. Gupta, H.P. Singh
3. Neural Networks, Genevieve Orr
4. Machine Learning, Neural and Statistical Classification, D. Michie, D.J. Spiegelhalter, C.C. Taylor
5. Planning Algorithms, Steven M. LaValle
6. Introduction to Machine Learning, Nils J. Nilsson
7. Reinforcement Learning: An Introduction, Richard S. Sutton and Andrew G. Barto
8. An Introduction to Neural Networks Ben Krose, Patrick van der Smagt
9. Neural Networks - A Systematic Introduction, Raul Rojas
10. Neural Networks, Christos Stergiou and Dimitrios Siganos
11. Dynamics of Complex Systems, Yaneer Bar-Yam
12. Convex Optimization, Stephen Boyd and Lieven Vandenberghe
13. Reinforcement Learning:An Introduction, Richard S. Sutton, Andrew G. Barto
14. A Genetic Algorithm Tutorial, Darrell Whitley
15. Artificial Intelligence through Prolog, Neil C. Rowe
16. Brief Introduction to Educational Implications of Artificial Intelligence, David Moursund
17. Gaussian Processes for Machine Learning, Carl Edward Rasmussen and Christopher K. I. Williams
18. Global Optimization Algorithms - Theory and Application, Thomas Weise
19. Practical Artificial Intelligence Programming in Java, Mark Watson
20. Prolog and Natural-Language Analysis, Fernando C. N. Pereira, Stuart M. Shieber
21. Pattern Recognition and Neural Networks, - Ludmila Kuncheva

Free Books on Information Theory and Communication System

1. Fundamentals of Wireless Communication, David Tse and Pramod Viswanath
2. Information Theory, Inference and Learning Algorithms, David J. C. MacKay
3. Entropy and Information Theory, R.M. Gray
4. Complexity Issues in Coding Theory, Alexander Barg
5. Network Coding Theory, Raymond W. Yeung, Shuo-Yen Robert Li, Ning Cai and Zhen Zhang
6. Notes on Coding Theory, Jonathan I. Hall
7. A Short Course in Information Theory, David J.C. MacKay
8. Information, Randomness and Incompleteness, G J Chaitin, IBM Research
9. Introduction to Data Communications, by Eugene Blanchard
10. Understanding Optical Communications
11. Primer on Information Theory, Thomas Schneider
12. High-Speed Communication Circuits and Systems, Prof. Michael Perrott
13. Communication System Design, Prof. Vladimir Stojanovic
14. Essential Coding Theory, Prof. Madhu Sudan
15. Speech Communication, Prof. Kenneth Steven
16. Quantum Optical Communication, Prof. Jeffrey H. Shapiro
17. Principles of Digital Communications I, Prof. Robert Gallager, Prof. Lizhong Zheng
18. Principles of Digital Communication II, Prof. David Forney
19. Transmission of Information, Prof. Muriel Medard, Prof. Lizhong Zheng
20. Data Communication Networks, Prof. Eytan Modiano
21. Primer on Information Theory by Thomas Schneider

Free ebook and online resources on Free Space Optics ( Optical Wireless Communication)

1. Handbook of Optical Through the Air Communications, David A. Johnson
2. Wireless Infrared Communications- Kahn and Barry
3. Short-Range Optical Wireless Communications-O’Brien, Katz, Green
4. A Review on Indoor Optical Wireless Systems-Singh, John, FIETE
5. Optical Wireless: The Story So Far-Heatley, Wisely, Neild, and Cochrane
6. Indoor Optical Wireless Communication Systems – Part I: Review- Z. Ghassemlooy
7. THE PHYSICS OF FREE-SPACE OPTICS -Scott Bloom
8. Analysis of Free Space Optics as a Transmission Technology - Garlington, Babbitt and Long
9. Common Misconceptions about Free Space Optics-fSona
10. Free Space optics (fso): An Introduction
11. What is Free Space Optics (FSO)
12. Overview : Free-Space Optical Communications at JPL/NASA- Hamid Hemmati
13. Understanding the performance of free-space optics - Bloom,Korevaar, Schuster and Willebrand
14. Optical (through-the-air)communications
15. Free-space optics technology improves situational awareness on the battlefield-Al-Akkoumi,Huck and Sluss
16. FREE SPACE OPTICS :High bandwidth solution in network world-MONIKA MEHRA
17. Multi-Gigabits-per-second Optical Wireless Communications - Dr. Jeganathan and Dr.Ionov
18. Challenges In Outdoor and Indoor Optical Wireless Communications -Qazi

Visible Light Communications

1. Visible Light Communications - Sylvester C.S. Lo

Web resources 
Indoor Free-Space Optical Communication -J.M. Kahn
Optical Wireless at Oxford
Optical Wireless at Northumbria - Zhassemlooy
Fsona
LightPointe
Support Solutions Inc
Optical Communication Group- Nasa
IrDA

Manufacturer Website
Fsona
LightPointe
CanoBeam
Cablefree IrDA MOSTCOM
PAV 
free space optics solutions

Laser Information Telecommunications

Free Books on Matlab and Engineering and Scientific Computing Language

1. Introduction to Matlab, Ross L. Spencer
2. An Introduction to Matlab Version 2.3, David F. Griffiths
3. MATLAB Primer, Kermit Sigmon
4. Physical Modeling in MATLAB, Allen B. Downey
5. Writing Fast MATLAB Code, Pascal Getreuer
6. A Practical Introduction to Matlab, Mark S. Gockenbach
7. Introduction to using Matlab ( Day 1, Day 2 )
8. An Introductory Guide to MATLAB, Ian Cavers
9. Matlab Manual And Introductory Tutorials, Ivan Graham
10. Numerical Computing with MATLAB - Cleve Moler
11. Experiments with MATLAB - Cleve Mole
12. Crash course in MATLAB- Tobin A. Driscoll
13. MATLAB Guide- Desmond J. Higham , Nicholas J. Higham
14. A Brief Introduction To Mathematica, Dr. Christopher Moretti
15. Beginner’s Mathematica Tutorial, Christopher Lum
16. Mathematica Tutor
17. MathCAD Tutorial
18. A MATLAB Exercise Book - Ludmila I. Kuncheva and Cameron C. Gray

Free Books on Signal Processing

DSP: THEORY

1. The Scientist and Engineer's Guide to Digital Signal Processing- Steven W. Smith
2. Introduction to Signal Processing -Sophocles J. Orfanidis
3. Astronomical Image and Data Analysis -JL Starck and F Murtagh
4. The theory of linear prediction- Vaidyanathan, P. P.
5. Introduction to Statistical Signal Processing - R.M. Gray
6. Mixed Signal and DSP Design Techniques - edited by Walt Kester
7. Modern Signal Processing - Edited by Edited by Daniel N. Rockmore and Dennis M. Healy
8. Advances in Signal Transforms: Theory and Applications - Edited by: J. Astola, and L. Yaroslavsky
9. Advances in Nonlinear Signal and Image Processing -Edited by: Stephen Marshall and Giovanni L. Sicuranza
10. The Data Conversion Handbook - Walt Kester
11. Mathematics Of The Discrete Fourier Transform (DFT) - Julius O. Smith III
12. Principles of Sigma-Delta Modulation for A/D Converters - Sangil Park
13. Using the ADSP-2100 Family Vol. 1 & Vol. 2 -Analog Devices Inc.
14. A Technical Tutorial on Digital Signal Synthesis-Analog Devices Inc.

DSP: COMMUNICATIONS

1. Signal Processing for Communications -Paolo Prandoni and Martin Vetterli
2. Signals, Samples and Stuff: A DSP Tutorial: Part 1,  Part 2, Part 3, Part 4 - Doug Smith
3. FAQs on Digital Signal Processing-
4. Wireless Communications: Signal Processing Perspectives-Poor and Wornell
5. Signal Processing with Fractals: A Wavelet-Based Approach-G. W. Wornell
6. Wireless Communications: Signal Processing Perspectives-Poor and Wornell
7. Stochastic Processes, Detection and Estimation-A. S. Willsky and G. W. Wornell

DSP: IMAGE PROCESSING

1. Fundamentals of Image Processing - Young, Gerbrands and Vliet
2. Advances in Nonlinear Signal and Image Processing -Edited by: Stephen Marshall and Giovanni L. Sicuranza
3. Image Processing and Data Analysis: The Multiscale Approach -JL Starck, F Murtagh and A Bijaoui
4. Principles of Computerized Tomographic Imaging - Kak and Slaney
5. IMAGE ESTIMATION BY EXAMPLE: Geophysical Soundings Image Construction - Jon Claerbout and Sergey Fomel
6. BASIC EARTH IMAGING- Jon Claerbout
7. EARTH SOUNDINGS ANALYSIS: Processing versus Inversion - Jon Claerbout
8. IMAGING THE EARTH'S INTERIOR- Jon Claerbout
9. FUNDAMENTALS OF GEOPHYSICAL DATA PROCESSING - Jon Claerbout
10. Genetic and Evolutionary Computation for Image Processing and Analysis -Stefano Cagnoni, Evelyne Lutton, and Gustavo Olague
11. Advances in Nonlinear Signal and Image Processing -Edited by: Stephen Marshall and Giovanni L. Sicuranza
12. Image Processing in C: Analyzing and Enhancing Digital Images- Dwayne Phillips

DSP: AUDIO

1. Introduction to Sound Processing -Davide Rocchesso
2. Introduction To Digital Filters, With Audio Applications -Julius Smith
3. Mathematics of the Discrete Fourier Transform (DFT), With Audio Applications -Julius Smith
4. Physical Audio Signal Processing For Virtual Musical Instruments and Audio Effects -Julius Smith
5. High-Fidelity Multichannel Audio Coding - Dai Tracy Yang, Chris Kyriakakis, and C.-C. Jay Kuo
6. Physical Audio Signal Processing-Julius O. Smith III
7. Spectral Audio Signal Processing -Julius O. Smith III

DSP: SPECTRAL ANALYSIS

1. Bayesian Spectrum Analysis and Parameter Estimation -G. Larry Bretthorst
2. Chebyshev and Fourier Spectral Methods - John Boyd
3. The Temporal and Spectral Characteristics of Ultrawideband Signals -William Kissick

DSP: MISCELLANEOUS TOPICS

1. Biomedical Digital Signal Processing -Willis J. Tompkins
2. Stochastic Optimal Control: The Discrete-Time Case -Bertsekas
3. Signal Processing with Fractals: A Wavelet-Based Approach - Gregory Wornell
4. Nonlinear Systems Theory: The Volterra/Wiener Approach -Wilson Rugh
5. Detection of Abrupt Changes - Theory and Application -Basseville and Nikiforov
6. An Introduction to Signal Processing in Chemical Analysiy - T. OHaver
7. Multimedia Fingerprinting Forensics for Traitor Tracing -K. J. Ray Liu, Wade Trappe, Z. Jane Wang, Min Wu, and Hong Zhao
8. Genomic Signal Processing and Statistics -Edited by:Dougherty, Shmulevich, Chen, and Wang

DSP: IMPLEMENTATION

1. Computer Aids for VLSI Design -Steven Rubin
2. Application-Specific Integrated Circuits - Michael Smith
3. The VHDL Cookbook -Peter Ashenden
4. Controlling Noise and Radiation in Mixed-Signal and Digital Systems - Nicholas Gray

Free Books on Signal Processing II

1. Introduction to Digital Signal Processing - Paolo Prandoni
2. Efficient Digital Fiilters -Matthew Donadio
3. Discrete-Time Signal Processing - MIT
4. Modern Signal Processing- Edited by Daniel N. Rockmore and Dennis M. Healy, Jr.
5. Signals and Systems - MIT

Free Computer Programming Language Books

Programming Language Java

1. Thinking in Java - Bruce Eckel
2. SamsTeachYourself Java 6 in 21 Days- Rogers Cadenhead and Laura Lemay
   
3. Free java programmers tutorial and code
4. Java Thin-Client Programming-Jürgen Friedrichs, Henri Jubin, Martin Chilvers, Bernard Devaux, Mark Briggs
5. Introduction to Programming Using Java - David J. Eck
6. Java Thin-Client Programming for a Network Computing Environment-Jürgen Friedrichs, Henri Jubin and The Jalapeño Team
7. Data Structures and Algorithms With Object-Oriented Design Patterns in Java- Bruno R. Preiss
8. Java design pattern companion - James W. Cooper
9. Advanced Programming for the Java 2 Platform- Calvin Austin and Monica Pawlan
10. How to Think Like a Computer Scientist Java Version -Allen B. Downey.
11. 1000 Java tips! -
    
12. Securing Java
13. The Java Language Specification
14. Creating a GUI with JFC/Swing
15. Processing XML with Java -Elliotte Rusty Harold
16. Java data Structures-
    

Free Computer Programming Language Books

Programming Language C#

1. Programmer's Heaven C# School Book - Faraz Rasheed
2. Sams Teach Yourself C# in 24 Hours -James Foxall and Wendy Haro-Chun
3. Data Structures and Algorithms with Object-Oriented Design Patterns in C#-Bruno R. Preiss
   
4. C# - The Basics -Vijay Mukhi , Sandeep Shanbhag and Sonal Mukhi
5. C# to IL
6. ASP.NET with C# - Vijay Mukhi, Sonal Mukh and Neha Kotecha
7. An Introduction to Programming with C# Threads - Andrew D. Birrell
8. A Comparison of Microsoft's C# programming language to Sun Microsystem's Java Programming Language - Dare Obasanjo
9. A Comprehensive Guide to C# and the .NET Platform-Andrew Troelsen
10. C# .NET Web Developer’s Guide By Adrian Turtsch, DotThatCom.com -Jason Werry, Greg Hack and Joseph Albahari
11. C# :Your Visual Blue Print for Building .Net Applications By Eric Butow and Tommy Ryan
12. C# Classes - Threads, Winforms and XML - By Vijay Mukhi, Vinay Kalantri and Sonal Mukhi
13. C# Faq For C++ Programmers - Andy McMullan
14. C# in Detail- Jon Jagger
15. C# Language Reference - Anders Hejlsberg and Scott Wiltamuth
16. C# Essentials
17. Softsteel C# Tutorial
18. C# Nuts and Bolt
19. C# Station Tutorial
20. Getting started with C#
21. C# Threads by Samyukta Mudugal

Free Books on Mathematics XII

1. Semiriemannian Geometry- Shlomo Sternberg
2. Essential Mathematics - Franco Vivaldi
3. Analytic Combinatorics - Philippe Flajolet,and Robert Sedgewick
4. Calculus, Applications and Theory - Kenneth Kuttler
5. One Variable Advanced Calculus -Kenneth Kuttler
6. Many Variable Advanced Calculus -Kenneth Kuttler
7. Elementary linear algebra book -Kenneth Kuttler
8. Derivations of Applied Mathematics - Thaddeus H. Black
9. Algorithmic Mathematics - Leonard Soicher, Franco Vivaldi
10. Elementary Mathematics - William Chen and Xian Duong
11. Logic For Computer Science - Foundations of Automatic Theorem Proving - Jean H. Gallier
12. Combinatorial Algorithms for Computers and Calculators- Albert Nijenhuis and Herbert S. Wilf
13. Logic and Computation - Jean Gallier
14. Geometry, Topology, Geometric Modeling -Jean Gallier
15. Notes on Differential Geometry and Lie Groups - Jean Gallier
16. Convex Sets, Polytopes, Combinatorial Topology, Voronoi Diagrams and Delaunay Triangulations- Jean Gallier
17. Algebra- Jean Gallier
18. Algebraic Geometry- Jean Gallier
19. Discrete Mathematics for Computer Scienc- Jean Gallier
20. Basic Algebra and Analysis - Jean Gallier
21. Languages, Automata, Theory of Computation- Jean Gallier
22. Computational Geometry: Methods and Applications - Jianer Chen
23. Computational Optimization - Jianer Chen
24. Algorithms for Modular Elliptic Curves- John E. Cremona
25. An Introduction to the Theory of Numbers - Leo Moser
26. Basic Concepts of Mathematics -Elias Zakon
27. Mathematical Analysis I-Elias Zakon
28. A Cook-Book Of Mathematics - Viatcheslav Vinogradov
29. Linear Programming: Foundations and Extensions- Robert Vanderbei

Free Book on Algebra, Algebraic Geometry X

Algebra, Abstract

1. Workbook in Higher Algebra by David Surowski
   
2. Differential Algebra by Joseph Fels Ritt
   
3. Structure and Representations of Jordan Algebras by Nathan Jacobson
   
4. A Course in Universal Algebra by Stanley N. Burris, and H.P. Sankappanavar
   
5. An Invitation to General Algebra and Universal Constructions by George M. Bergman
   
6. Varieties of Lattices by Peter Jipsen, and Henry Rose
   
7. Lectures on Matrices by Joseph Henry Maclagen Wedderburn
   
8. Elementary Abstract Algebra by Edwin Clark
   
9. Intro to Abstract Algebra by Paul Garrett
   
10. Elements of Abstract and Linear Algebra by Edwin H. Connell
    
11. Abstract Algebra:The Basic Graduate Year by Robert Ash
    
12. A Course In Commutative Algebra by Robert Ash
    
13. Notes for geometric group theory course by John R. Stallings
    
14. Advanced Linear Algebra lecture notes (with real algorithm for the real Jordan form) by Keith Matthews
    
15. Commutative algebra by Ivan Fesenko
    
16. Abstract Algebra - Number Theory, Group Theory, Galois Theory by Daviidd Wilkins
    
17. Abstract group theory by Chuck Miller
    
18. The Classification of the Finite Simple Groups by Daniel Gorenstein, Richard Lyons, and Ronald Solomon
    
19. Group Characters, Symmetric Functions, and the Hecke Algebra by David M. Goldschmidt
    
20. Finite Groups and their Representations by Andrew Baker
    
21. Classical Groups by Peter Cameron
    
22. Galois theory by Miles Reid
    
23. Toeplitz and Circulant Matrices by Robert M. Gray
    
24. Homogeneous spaces and equivariant embeddings by Dmitri A. Timashev
    
25. Algebra: Abstract and Concrete by Frederick M. Goodman
    
26. Commutative Algebra, Algebraic Geometry, Number theory, Field Theory, Galois Theory by Sudhir R. Ghorpade
    
27. Fundamental Problems in Algorithmic Algebra by Chee Yap
    
28. Braid groups and Galois theory by Frazer Jarvis
    
29. A. N. Whitehead's Geometric Algebra by Stephen Blake
    
30. Commutator Theory for Congruence Modular Varieties by Ralph Freese, and Ralph McKenzie
    
31. Constructive Aspects of the Inverse Galois Problem by A. Ledet, and N. Yui, and C. Jensen
    
32. Publications and prepublications about braids
33. Basics of Algebra and Analysis for Computer Science by Jean Gallier
    
34. Abstract Algebra with GAP, Authored by By J. G. Rainbolt and J. A. Gallian
35. Mathematical Methods of Engineering Analysis, by Erhan Çinlar and Robert J. Vanderbei

Algebraic Geometry

1. Determinantal rings by Winfried Bruns, and Udo Vetter
   
2. Algebraic geometry and projective differential geometry by Joseph M. Landsberg
   
3. Introduction to Algebraic Geometry by Igor V. Dolgachev
   
4. Algebraic Geometry by J.S. Milne
   
5. Modular forms by Igor Dolgachev
   
6. Complex analytic and algebraic geometry by Jean-Pierre Demailly
   
7. Introduction to Algebraic Geometry by Yuriy Drozd
   
8. Algebraic Curves by Hendrik L. Lenstra
   
9. Algebraic Geometry, Toric Varieties, Galois Theory by David A. Cox
   
10. Quasi-projective Moduli for Polarized Manifolds by Eckart Viehweg
    
11. Lectures on Vanishing Theorems by Eckart Viehweg, and Hélène Esnault
    
12. Introduction to Algebraic Geometry by Ravi Vakil
    
13. Resolution of Singularities by János Kollár
    
14. Eleven books on geometry, topology, and algebra by Andrew Ranicki
    

Elliptic Curves

1. Elliptic curves by Miles Reid
   
2. Elliptic Curves by Jim Milne
   
3. Modular curves by Bas Edixhoven
   
4. Expository articles - Computing rational points on curves, Elliptic curves by Bjorn Poonen
   

Category Theory

1. Mixed Motives by Marc Levine
   
2. Toposes, Triples and Theories by Michael Barr, and Charles Wells
   
3. Abstract and Concrete Categories by J. Adamek, H. Herrlich, and G. Strecker
   
4. A Gentle Introduction to Category Theory by Maarten M.Fokkinga
   
5. Introduction to The Theory of Categories by David Madore
   
6. Higher-Dimensional Categories: an illustrated guide book by Eugenia Cheng, and Aaron Lauda
   
7. Higher Operads, Higher Categories by Tom Leinster
   

Lie Algebras

1. Algebraic Groups and Discontinuous Subgroups by Armand Borel, and George D. Mostow
   
2. Theory of representations etc by Claudio Procesi
   
3. Semisimple Lie Algebras and their Representations by Robert N. Cahn
   
4. Lie Algebras by Shlomo Sternberg

Free Books on Mathematical Analysis IX

Analysis

1. Homeomorphisms in Analysis by Casper Goffman, Togo Nishiura, and Daniel Waterman
   
2. Why the Boundary of a Round Drop Becomes a Curve of Order Four by A. N. Varchenko, and P. I. Etingof
   
3. Lectures on Entire Functions by B. Ya. Levin
   
4. Constructive Real Numbers and Constructive Function Spaces by N. A. Sanin
   
5. Complex Variables by W.P. Novinger, and Robert B. Ash
   
6. Foundations of Nonstandard Analysis by Erland Gadde
   
7. Analytic functions by Stanislaw Saks, and Antoni Zygmund
   
8. Theory of Functions of real variable by Shlomo Sternberg
   

Functional Analysis

1. Functional Analysis by Douglas N. Arnold
   
2. Functional Analysis by Paul Garrett
   
3. Functional Analysis by Thomas Ward
   
4. Functional Analysis and Semi-Groups by Einar Hille, and Ralph S. Phillips
   
5. The Convenient Setting of Global Analysis by Andreas Kriegl, and Peter W. Michor
   
6. Hilbert Space Methods for Partial Differential Equations by Ralph E. Showalter
   
7. Monotone Operators in Banach Space and Nonlinear Partial Differential Equations by Ralph E. Showalter
   
8. Harmonic Analysis and Partial Differential Equations by Björn E.J. Dahlberg, and Carlos E. Kenig
   
9. Functional Analysis by Thomas Ward
   
10. Harmonic Function Theory by Sheldon Axler, Paul Bourdon, and Wade Ramey
    
11. An Introduction to C*-Algebras by Pierre de la Harpe, and Vaughan Jones
    
12. Functional Analysis by Peter G. Dixon
    
13. Introduction to Microlocal Analysis by Richard Melrose
    
14. Bernoulli Periodic Functions by Miguel Lerma
    
15. Holomorphic Methods in Analysis and Mathematical Physics by Brian C. Hall
    

Differential Equations

1. Nonlinear Analysis and Ordinary Differential Equations by Klaus Schmitt
   
2. Ordinary Differential Equations and Dynamical Systems by Gerald Teschl
   
3. Ordinary Differential Equations by Sheldon Newhouse
   
4. Partial Differential Equations of Mathematical Physics by William W. Symes
   
5. Analytic differential equations by Yulij Ilyashenko, and Sergei Yakovenko
   
6. Exterior Differential Systems and Euler-Lagrange Partial Differential Equations by Robert L. Bryant, Phillip A. Griffiths, and Daniel A. Grossman
   
7. Monograph on quasilinear partial differential equations by Marco Squassina
   
8. Finite Difference and Spectral Methods for Ordinary and Partial Differential Equations by Lloyd N. Trefethen

Free Book On Mathemathics VIII (Topology)

Topology

1. Textbook in Problems on Elementary Topology by O.Ya.Viro, O.A.Ivanov, V.M.Kharlamov, and N.Y.Netsvetaev
   
2. Topology Course by Aisling McCluskey, and Brian McMaster
   
3. Topology by Thomas Ward
   
4. Foliations and the topology of 3-manifolds by Danny Calegari
   

Algebraic Topology

1. Algebraic Topology by Allen Hatcher
   
2. Cohomology, Connections, Curvature and Characteristic Classes by David Mond
   
3. Introduction to Characteritic Classes and Index Theory by Jean-Pierre Schneiders
   
4. Algebraic Topology by Solomon Lefschetz
   
5. Abstract group theory and topology articles by Walter Neumann
   

K-Theory

1. An introduction to algebraic K-theory by Charles Weibel
   

Knots

1. Knots Knotes by J. D. Roberts
   
2. Vassiliev invariants and combinatorial structures by Sergei V. Duzhin
   
3. Introduction to Vassiliev knot invariants by Sergei V. Duzhin, and Sergei Chmutov
   
4. History of Knot Theory by Andrew Ranicki
   
5. Knot Theory by Swatee Naik
   
6. Knot theory from Vandermonde to Jones by Jozef H. Przytycki

Free Books on Mathematical Physics VII

Dynamics

1. Mechanism of the Heavens (1831), by Mary Somerville by Russell McNeil
   
2. Dynamical Systems by George D. Birkhoff
   
3. Dynamics in One Complex Variable: Introductory Lectures by John Milnor
   
4. Geometrical theory of dynamical systems by Nils Berglun
   
5. Introduction to Statics and Dynamics by Andy Ruina, and Rudra Pratap
   

Entropy

1. Entropy on the World Wide Web
   
2. Entropy of Compact Group Automorphisms by Thomas Ward
   
3. Valuations and Hyperbolicity in Dynamics by Thomas Ward
   
4. Effective Hamiltonians and averaging for Hamiltonian dynamics by Lawrence Craig Evans
   
5. Entropy and Partial Differential Equations by Lawrence Craig Evans
   
6. CLASSICAL AND QUANTUM CHAOS by Predrag Cvitanovic', Roberto Artuso, Ronnie Mainieri, Gregor Tanner, Gábor Vattay, Niall Whelan, and Andreas Wirzba
   
7. Dynamical systems by Shlomo Sternberg
   

Quantum Mechanics

1. Mathematical Methods in Quantum Mechanics by Gerald Teschl
   
2. Quantum Mechanics by Klaus Schulten
   
3. Foundations of Quantum Mechanics & Quantum Information by M.B. Plenio
   
4. Quantum Geometry and more by Micho Durdevich
   
5. Quantum Probability Theory by Miklos Redei, and Stephen J. Summers
   

Quantum Field Theory

1. Comprehensive textbook on quantum (and classical) field theory by Warren Siegel
   
2. Quantum Field Theory by Ben Simons
   
3. Mathematical ideas and notions of quantum field theory by Pavel Etingof
   
4. Introduction to Algebraic and Constructive Quantum Field Theory by Irving E. Segal, Zhengfang Zhou, and John C. Baez
   
5. Quantum Field Theory program at IAS by Irving E. Segal, Zhengfang Zhou, and John C. Baez
   
6. Graduate textbooks: Field Theory, Relativity, Superspace, Strings by Warren Siegel
   
7. What is String Theory by Joseph Polchinski
   
8. Fluctuating Geometries in Statistical Mechanics and Field Theory
   
9. Operator Algebras and Quantum Statistical Mechanics, Vol I by Ola Bratteli
   
10. Operator Algebras and Quantum Statistical Mechanics, Vol II by Ola Bratteli
    
11. D-Brane Primer by Clifford V. Johnson
    
12. Introduction to Superstring Theory by Elias Kiritsis
    
13. Algebraic Quantum Field Theory by Hans Halvorson, and Michael Mueger
    

Condensed Matter

1. Worked examples in the Geometry of Crystals by HKDH Bhadeshia
   
2. Introduction to Solid-State Physics; Many-Body Theory by Chetan Nayak
   
3. Many-Body Physics by Piers Coleman
   
4. Theory of Superconductivity by Helmut Eschrig
   
5. High-Temperature Superconductivity by Peter Hirschfeld
   
6. Solid State Physics by Peter Hirschfeld
   
7. Complex Surphaces in Materials Science
   

Special and General Relativity

1. General Relativity, Nonlinear PDEs, etc by Sergiu Klainerman
   
2. Special Relativity and Geometry by C. E. Harle, and R. Bianconi
   
3. Differential Geometry (and Relativity) by Bob Gardner
   
4. General Relativity and Quantum Cosmology by Sean M. Carroll
   
5. Public lectures by Stephen Hawking and Roger Penrose
   

Physics

1. Essential Physics 1 by Frank Firk
   
2. Introduction to Groups, Invariants & Particles by Frank W.K. Firk
   
3. Classical Electrodynamics by Bo Thidé
   
4. Classical electrodynamics and theory of relativity by Ruslan Sharipov
   
5. Electromagnetic Theory and Computation: A Topological Approach by Paul W. Gross, and P. Robert Kotiuga
   
6. MOTION MOUNTAIN TEXTBOOK Hiking beyond space and time along the concepts of modern physics by Christoph Schiller
   
7. Fundamentals of Thermodynamics by J. Karl Johnson
   
8. Non-Equilibrium Statistical Mechanics by Klaus Schulten
   
9. Course in Electrodynamics by Franz Wegner
   
10. Light and Matter by Ben Crowell
    
11. Order-of-magnitude-physics by Sanjoy Mahajan
    
12. Physical Applications of Geometric Algebra by Anthony Lasenby, and Chris Doran
    
13. Group Theory: Lie's, Tracks, And Exceptional Groups by Predrag Cvitanovic'
    
14. An Elementary Introduction to Groups and Representations by Brian C. Hall
    
15. Geometric Models for Noncommutative Algebras by A. Cannas da Silva, and A. Weinstein
    
16. Differential Forms in Electromagnetic Theory by Richard H. Selfridge, David V. Arnold, and Karl F. Warnick
    
17. Lectures on integration of several variables by Michael Adler
    
18. Methods of Mathematical Physics by Mark Trodden
    
19. Further Mathematical Methods by Niels Walet
    
20. Computational Physics by Angus MacKinnon
    
21. Zeno meets modern science by Zurab K. Silagadze
    
22. Feynman's derivation of Maxwell equations and extra dimensions by Zurab K. Silagadze
    
23. TeV scale gravity, mirror universe, and ... dinosaurs by Zurab K. Silagadze
    
24. Quick introduction to tensor analysis by Ruslan Sharipov
    
25. Traveling Wave Solutions of Parabolic Systems by Aizik I. Volpert, Vitaly A. Volpert, and Vladimir A. Volpert

Free Books on Mathematics VII

1. Mathematics under the Microscope by Alexandre Borovik
2. What is and what will be: Integrating spirituality and science by Paul Budnik
   

Fractals

1. Fractals in the Plane - the Ergodic Theory Methods by F. Przytycki, and M. Urbanski
2. Conformal Dynamics by Curt McMullen
3. Fractals by P. G. Dixon
   

Graph Theory

1. Graph Theory with Applications by J.A. Bondy, and U.S.R. Murty
2. Graph Theory by Reinhard Diestel
3. Interactive Graph theory tutorials by Chris K. Caldwell
   

Coxeter groups

1. Miscellaneous facts about Coxeter groups by Robert B. Howlett
2. Buildings, BN-pairs, Hecke algebras, classical groups by Paul Garrett
   

Nielsen Fixed Point Theory

1. Nielsen fixed point theory, Geometric group theory by Ross Geoghegan
   

Permutation Puzzles

1. Mathematics of Rubik's cube by David Joyner

Free Book on Mathemathics V (Number Theory)

Introductory Number Theory

1. An Introduction to the Theory of Numbers by Leo Moser
2. Number Theory Notes for students at IMO level by Naoki Sato
3. Elementary Number Theory by William Edwin Clark
4. Lecture notes on elementary number theory by Bruce Ikenaga
5. Exercises with solutions on elementary number theory by Nigel Byott
6. Elementary Number Theory by Michael Filaseta
   

p-adic numbers

1. Lecture notes on p-adic numbers by Andrew Baker
   

Arithmetic Geometry

1. Open Questions in Arithmetic Algebraic Geometry by Alice Silverberg
   

Fermat's Last Theorem

1. William Hammond's Fermat Archive
2. Review of Alf van der Poorten's Notes on Fermat's Last Theorem by Andrew Granville
   

Algebraic Number Theory

1. Survey of Euclidean Number Fields by Franz Lemmermeyer
2. A Computational Introduction to Number Theory and Algebra by Victor Shoup
3. A Course In Algebraic Number Theory by Robert B. Ash
4. Elementary and algebraic number theory by Ivan Fesenko
5. Algebraic Number Theory by Jim Milne
6. Algebraic Number Theory by Robin Chapman
7. Invitation to higher local fields by Ivan Fesenko, and Masato Kurihara
8. Euclidean Number Fields by Franz Lemmermeyer
9. Algebra and Number Theory by Andrew Baker
10. Elementary Number Theory by William A. Stein
11. Notes for Dick Gross' Algebraic Number Theory Course by S. Sather-Wagstaff
12. Algebraic Number Theory & Introduction to Automorphic L-functions by Ching-Li Chai
13. Algebraic Number Theory by Jerome William Hoffmann
14. Introduction to Number Theory by Franz Lemmermeyer

Analytic Number Theory

1. Course notes for analytic number theory by Graham Everest
2. Distribution of Prime Numbers by William Chen
3. Introduction to Analytic Number Theory by Noam Elkies