Jonathan Sands 
(802) 656-4339 
jwsands@uvm.edu

Math 251 Abstract Algebra I
Resources 

 

Other Texts

There are many Abstract Algebra texts. The UVM library has most of these. Try using Voyager to search with subject "abstract algebra", "modern algebra", or "Galois Theory". The list below is arranged, roughly, by increasing difficulty.

Rings, Fields and Groups, An Introduction to Abstract Algebra by R. B. J. T. Allenby QC251.A4
Contemporary Abstract Algebra by Joseph A. Gallian QA162.G34 2002
A First Course in Abstract Algebra by John B. Fraleigh QA162.F7
Abstract Algebra, 3rd Edition, by I. N. Herstein
Abstract Algebra by John A. Beachy, William D. Blair QA162 .B4 1996

Abstract Algebra, 2nd Edition, by Joseph Rotman
Algebra by Michael Artin QA154.2.A77 1991  

Galois Theory
by Emil Artin  QA171.A75
Galois Theory by Ian Stewart QA214.S74
Galois Theory by Harold Edwards QA247.E383
Modern Higher Algebra by Emil Artin QA171.A76

Algebra by Hungerford, Thomas W. QA155.H83
Algebra, A Graduate Course by Isaacs, I. Martin QA154.2I83 1994
Algebra by Serge Lang, QA154.2.L36
Algebra by Bourbaki, Nicolas. QA155.B68213

Classic Texts:
Algebra by Saunders MacLane and Garrett Birkhoff. QA266.M254
Basic Algebra by Jacobson, Nathan QA154.2.J32
Algebra by B.L. van der Waerden QA155 .W316
Commutative Algebra by Oscar Zariski and Pierre Samuel QA251.Z3

Online Resources

Online Study Guide by Beachy and Blair
Abstract Algebra Course Notes by David Wilkins
Notes on Everything by Milne
History of Mathematics by St Andrews.
Dog School
Abstact Algebra notes by Benedict Gross

Computer Packages

Mathematica and Maple have packages dedicated to algebra
SAGE, GAP and PARI are excellent (and free) algebra systems
MAGMA, SINGULAR, MACAULEY and CoCoA are commercial packages.
See http://www.ams.org/mathweb/mi-software.html for a list of software and links to the makers