Online Math: Algebra and Algebraic Geometry
Alexandre Stefanov long maintained a list of
online math texts and other materials at Geocities, but it appears
that his original web site is no longer available.
Because these resources may be of interest to our readers,
we present here a modified version of Stefanov's list as of November 18, 2009.
We welcome corrections or suggested additions to this list.
See also Math on the Web, compiled by the American Mathematical Society, for more online math resources.
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Topics include the following:
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Abstract Algebra
- Workbook in Higher Algebra, by David Surowski with index, many exercises
- A Course in Universal Algebra, by Stanley N. Burris and H.P. Sankappanavar
- An Invitation to General Algebra and Universal Constructions, by George M. Bergman
- Varieties of Lattices, by Peter Jipsen and Henry Rose
- Elementary Abstract Algebra, by Edwin Clark
- Intro to Abstract Algebra, by Paul Garrett
- Elements of Abstract and Linear Algebra, by Edwin H. Connell
- Abstract Algebra: The Basic Graduate Year, by Robert Ash
- A Course In Commutative Algebra, by Robert Ash
- Notes for geometric group theory course, by John R. Stallings
- Advanced Linear Algebra lecture notes, by Keith Matthews
- Commutative algebra, by Ivan Fesenko
- Abstract Algebra - Number Theory, Group Theory, Galois Theory, by David Wilkins
- Abstract group theory, Papers and Notes by Chuck Miller
- Finite Groups and their Representations, by Andrew Baker
- Classical Groups, by Peter Cameron
- Galois theory, by Miles Reid
- Toeplitz and Circulant Matrices, by R. M. Gray
- Homogeneous spaces and equivariant embeddings, by Dmitri A. Timashev
- Algebra: Abstract and Concrete, by Frederick M. Goodman
- Commutative Algebra, Algebraic Geometry, Number theory, Field Theory, Galois Theory, by Sudhir R. Ghorpade
- Fundamental Problems in Algorithmic Algebra, by Chee Yap
- A. N. Whitehead's Universal Algebra, by Stephen Blake
- Commutator Theory for Congruence Modular Varieties, by Ralph Freese and Ralph McKenzie
- Constructive Aspects of the Inverse Galois Problem, by C. Jensen, A. Ledet, and N. Yui
- Publications and prepublications about braids
Algebraic Geometry
- Determinantal rings, by Winfried Bruns and Udo Vetter
- Algebraic geometry and projective differential geometry, by Joseph M. Landsberg
- Introduction to Algebraic Geometry, by Igor V. Dolgachev
- Algebraic Geometry, by J.S. Milne.
- Modular forms, by Igor Dolgachev
- Complex analytic and algebraic geometry, by Jean-Pierre Demailly
- Introduction to Algebraic Geometry, by Yuriy Drozd
- Moduli Spaces in Algebraic Geometry, edited by L. Goettsche
- Algebraic Curves, by Hendrik L. Lenstra
- Algebraic Geometry, Toric Varieties, Galois Theory, by David A. Cox
- Quasi-projective Moduli for Polarized Manifolds, by Eckart Viehweg
- Lectures on Vanishing Theorems, by Hélène Esnault, Eckart Viehweg
- Introduction to Algebraic Geometry, by Ravi Vakil
- Resolution of Singularities, by János Kollár
- Eleven books on geometry, topology, and algebra, by Andrew Ranicki
Elliptic Curves
Category Theory
- Toposes, Triples and Theories, by Michael Barr and Charles Wells
- Abstract and Concrete Categories, by J. Adamek, H. Herrlich, G. Strecker
- A Gentle Introduction to Category Theory, by Maarten M.Fokkinga
- Introduction to the Theory of Categories, by David Madore
- Higher-Dimensional Categories: an illustrated guide book, by Eugenia Cheng and Aaron Lauda
- Higher Operads, Higher Categories, by Tom Leinster
Lie Algebras
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