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 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,