- #1
IDValour
- 25
- 2
After having covered single variable calculus to a rather thorough degree, I would now like to move forward to linear algebra. As such I would like to enquire as to any recommendations for a text appropriate for what is essentially a beginner to the subject (I have received very basic computational courses involving matrices). The long term aim is to cover an introduction and then further cement the subject by working through Axler's Linear Algebra Done Right, so any text which fills in the gaps of Axler's work whilst also setting up well for it would be preferable. My further long term aim is to then work through Spivak's Calculus on Manifolds (although I am open to other multi-variable calculus text suggestions, especially to supplement or serve as preparation for said text). After this I do intend to cover some quantum mechanics, so texts which treat topics important to this area well are desirable, however I definitely would prefer to cover any maths required for this in the fashion of a mathematician as opposed to working through a "maths for physicists" style text. For full disclosure I have covered single variable calculus by first working through Lang's "A First Course in Calculus" and then following through with the text by Spivak. Although I purposefully excluded the section on multi-variable calculus in Lang's book, deferring it for later study. I am currently considering between about 3 texts for my intro to Linear Algebra, those being Lang's "Introduction to Linear Algebra"; Anton's "Elementary Linear Algebra (7th edition I do believe); and Sergei Treil's "Linear Algebra done Wrong". Of course I am still open to other options on this front (both Shilov and Hoffman & Kunze are attractive prospects but appear to be written at a higher level than would currently be apt). Finally I must confess that, despite enjoying his Calculus text, on my first skim through chapter 1 of Lang's "Intro to Linear Algebra" I found the writing style employed to be rather dry.
Thank you for any help you may offer and apologies for the wall of text. :D
Thank you for any help you may offer and apologies for the wall of text. :D