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Icebreaker
I need some recommendations for a good linear algebra textbook, something that's actually used in schools. I've finished linear 1 and 2 and I'm doing some preparation during the summer.
quasar987 said:How many sessions have you completed Ice? And what program are you studying in?
Hurkyl said:Anything wrong with "I go to McGill"?
quasar987 said:Ice: I have two friends there who just completed their first year. William and Tayeb. Do you know them?
TomMe said:http://ocw.mit.edu/OcwWeb/Mathematics/18-06Linear-AlgebraFall2002/VideoLectures/index.htm [Broken]
Linear algebra deals with the study of linear equations and their solutions, while abstract algebra deals with more general algebraic structures such as groups, rings, and fields.
Some common topics in linear algebra textbooks include vector spaces, linear transformations, matrices, determinants, and eigenvalues and eigenvectors. Abstract algebra textbooks may cover topics such as group theory, ring theory, field theory, and modules.
Generally, a strong foundation in basic algebra and calculus is recommended for studying linear and abstract algebra. Some texts may also require knowledge of linear equations and matrices.
Yes, linear and abstract algebra have applications in many areas of science, including physics, computer science, engineering, and economics. They are also essential for understanding more advanced mathematics such as differential equations and topology.
Some popular textbooks for linear algebra include "Linear Algebra and Its Applications" by David Lay, "Linear Algebra" by Serge Lang, and "Introduction to Linear Algebra" by Gilbert Strang. For abstract algebra, "Abstract Algebra" by David Dummit and Richard Foote, "A Book of Abstract Algebra" by Charles Pinter, and "Algebra" by Michael Artin are commonly used texts.