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