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. Dissecting a C# Application: Inside SharpDevelop
5. C# - The Basics -Vijay Mukhi , Sandeep Shanbhag and Sonal Mukhi
   
6. C# to IL
7. ASP.NET with C# - Vijay Mukhi, Sonal Mukh and Neha Kotecha
8. An Introduction to Programming with C# Threads - Andrew D. Birrell
9. A Comparison of Microsoft's C# programming language to Sun Microsystem's Java Programming Language - Dare Obasanjo
10. A Comprehensive Guide to C# and the .NET Platform-Andrew Troelsen
11. Basic C# exposur- Vijay Mukhi , Sandeep Shanbhag and Sonal Mukhi
12. C# .NET Web Developer’s Guide By Adrian Turtsch, DotThatCom.com -Jason Werry, Greg Hack and Joseph Albahari
13. C# :Your Visual Blue Print for Building .Net Applications By Eric Butow and Tommy Ryan
14. C# Classes - Threads, Winforms and XML - By Vijay Mukhi, Vinay Kalantri and Sonal Mukhi
15. C# Faq For C++ Programmers - Andy McMullan
16. C# in Detail- Jon Jagger
17. C# Language Reference - Anders Hejlsberg and Scott Wiltamuth
18. C# Essentials
19. Softsteel C# Tutorial
20. C# Nuts and Bolt
21. C# Station Tutorial
22. Getting started with C#

The Simpsons

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

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

Free Books on Mathematics III (Geometry )

Differential Geometry

1. Introduction to Tensor Calculus and Continuum Mechanics by John H. Heinbockel
   
2. Topics in Differential Geometry by Peter W. Michor
   
3. Natural operations in differential geometry by Peter W. Michor, Ivan Kolar, and Jan Slovak
   
4. Intrinsic Geometry of Surfaces by A. D. Aleksandrov, and V. A. Zalgaller
   
5. An Introduction to Riemannian Geometry by Sigmundur Gudmundsson, and Lund University
   
6. Riemann Surfaces, Dynamics and Geometry by Curtis McMullen
   
7. Invariance Theory, the Heat Equation, and the Atiyah-Singer Index Theorem by Peter B. Gilkey
   
8. Differentiable Manifolds by Mariusz Wodzicki
   
9. Differential Geometry by Sergei Yakovenko
   
10. Symplectic Geometry with and Eye Toward Combinatorics by Sue Tolman
    
11. Differential Geometry and Physics by Gabriel Lugo
    
12. Differential geometry reconstructed by Alan U. Kennington
    
13. Course of Differential Geometry by Ruslan Sharipov
    
14. The Geometrization of Physics by Richard S. Palais
    
15. Projective Geometry, Geometry of Surfaces, Differentiable Manifolds by Nigel Hitchin
    
16. Vector Bundles and an Introduction to Gauge Theory by Steven Bradlow, Hung-Jen Hsu, and Chris Willett
    
17. Twistor Geometry and Gauge Theory by Martin Wolf
    
18. Complex Geometry of Nature and General Relativity by Giampiero Esposito
    
19. Geometric Asymptotics by Victor Guillemin, and Shlomo Sternberg
    
20. Projective Geometry by Balázs Csikós
    
21. Differential Geometry by Balázs Csikós
    
22. Projective and Polar Spaceas by Peter Cameron
    
23. Transformation groups for begginers by S. V. Duzhin, and B. D. Tcherbotarevsky

Free Books on Mathematics II

Probability and Statistics

1. Introduction to Probability, Charles M. Grinstead, J. Laurie Snell
2. Probability Theory, S.R.Srinivasa Varadhan
3. Probability, Random Processes, and Ergodic Properties, R.M. Gray
4. An Introduction to Probability and Random Processes, Gian-Carlo Rota and Kenneth Baclawski
5. Probability Theory: The Logic of Science, Edwin Thompson Jaynes
6. Probability on Trees and Networks, Russell Lyons with Yuval Peres
7. Probability, Douglas Kennedy
8. Probability and Stochastic Processes with Applications , Oliver Knill
9. Markov Chains and Stochastic Stability, S.P. Meyn and R.L. Tweedie
10. Reversible Markov Chains and Random Walks on Graphs, David Aldous
11. Lectures on Statistics-Robert B. Ash
12. A Programmed Introduction To Statistics - Elzey
13. Lecture Notes in Statistics- G. Larry Bretthorst
14. Charting Statistics - Spear, Mary Eleanor
15. Concepts and Applications of Inferential Statistics - Richard Lowry
    
16. Convergence of Stochastic Processes - David Pollard
17. Discriminant Analysis and Clustering - NAP
18. Electronic Statistics Textbook -
    
19. An Anthology of Chance Operations- La Monte Young, editor
20. Advanced probability theory- Prof. Boris Tsirelson
21. An Exploration of Random Processes for Engineers - B. Hajek
    
22. Elementary Statistical Analysis - Wilks, S.S
23. Probability Tutorials by Noel Vaillant
    
24. Random Walks and Diffusion by Martin Z. Bazant
    
25. Reversible Markov Chains and Random Walks on Graphs by David Aldous, and Jim Fill
    
26. Notes on probability theory by Hendrik W. Lenstra, Jr.
    
27. An introduction to stochastic differential equations by Lawrence Craig Evans
28. Stochastic Calculus by Alan Bain
    
29. Statistics by S.R.S.Varadhan
    
30. Stochastic Processes by S.R.S.Varadhan
    
31. Stochastic Differential Equations by Thomas G. Kurtz
    
32. Stochastic Integration and Stochastic Differential Equations by Klaus Bichteler

Free Books on Mathematics I

Algebra and Calculus

1. Elementary Linear Algebra, Keith Matthews
2. New Calculus without Limits - Karl Heinz Dovermann
3. A Summary of Calculus-Karl Heinz Dovermann
   
4. A First Course in Linear Algebra, Robert A. Beezer
5. Abstract Algebra: The Basic Graduate Year-Robert B. Ash
6. A Course In Algebraic Number Theory-Robert B. Ash
7. The Calculus of Functions of Several Variables - Dan Sloughter
8. Difference Equations to Differential Equations: An Introduction to Calculus- Dan Sloughter
9. Graphics for the Calculus-Douglas N. Arnold
10. Multivariable Calculus - George Cain & James Herod
11. Steven Shreve: Stochastic Calculus and Finance - Prasad Chalasani and Somesh Jha
12. Algebra and Analysis for Computer Science -Jean Gallier
    
13. Visual Calculus - Lawrence S. Husch
14. Complex Variables- Robert B. Ash and W.P. Novinger
15. Advanced Calculus, Lynn Loomis and Shlomo Sternberg
16. Discrete Oscillation Theory, Ravi P. Agarwal, Martin Bohner, Said R. Grace, and Donal O'Regan
17. Abstract Algebra with GAP- J. G. Rainbolt and J. A. Gallian
18. A Course In Algebraic Number Theory - Robert B. Ash
19. Mathematical Methods of Engineering Analysis - Erhan Çinlar and Robert J. Vanderbei.
    
20. Impulsive Differential Equations and Inclusions, M. Benchohra, J. Henderson, and S. Ntouyas
21. Introduction to the Theory of Functional Differential Equations: Methods and Applications, N. V. Azbelev, V. P. Maksimov, and L. F. Rakhmatullina
22. Qualitative Analysis of Delay Partial Difference Equations, Binggen Zhang, and Yong Zhou
23. Solvability of Nonlinear Singular Problems for Ordinary Differential Equations, Irena Rachunkova, Svatoslav Stanek, and Milan Tvrdy
24. Qualitative Analysis of Nonlinear Elliptic Partial Differential Equations, Vicenţiu D. Rădulescu
25. Calculus, Benjamin Crowell
26. A Course In Commutative Algebra-Robert B. Ash
27. A Pari/GP Tutorial- Robert B. Ash
28. Real Variables with Basic Metric Space Topology - Robert B. Ash
29. A Survey of Venn Diagrams-Frank Ruskey and Mark Weston
    
30. A Course in Universal Algebra- Stanley Burris and H.P. Sankappanavar
    
31. Algebra: Abstract And Concrete-Frederick M. Goodman
32. Applied Abstract Algebra - D. Joyner, R. Kreminski, J. Turisco
    
33. Galois Connections and Fixed Point Calculus-Roland Backhouse
    
34. The Structure of Finite Algebras - David Hobby and Ralph McKenzie
35. Introduction to Matrix Algebra - Autar K Kaw
36. Elements of Abstract and Linear Algebra - Edwin H. Connell
37. Elementary Linear Algebra - Keith Matthews
38. Solutions to Elementary Linear Algebra prepared - Keith Matthews
39. Linear Algebra and Applications Textbook - Thomas S. Shores
40. Visual Linear Algebra for Maple and Mathematica -
41. Differential Equations With Boundary Value Problems - Selwyn Hollis
42. Elementary PDEs and Applications - Björn Birnir,