Linear Algebra I need a book on linear algebra....

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Advanced Linear and Matrix Algebra by Nathaniel Johnston is under consideration as a resource for learning linear algebra, particularly for those without prior experience. The discussion raises questions about the book's comprehensiveness and whether it includes calculus concepts related to matrices. The individual seeking guidance is self-studying and has a background in calculus and ordinary differential equations but had to pause their studies due to a job opportunity. Their goal is to understand and solve problems in quantum mechanics and quantum electrodynamics, indicating a need for a strong foundation in linear algebra. Participants in the discussion suggest that knowing the specific applications of linear algebra can help in recommending the most suitable learning materials.
Vectronix
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Is Advanced Linear and Matrix Algebra by Nathaniel Johnston a good book on linear algebra? Will it teach me all I need to know? Is there any calculus in it despite the name? I never took a course on linear algebra so I'm looking for something that teaches everything and includes calculus with matrices. If not, would you recommend a book?
 
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Vectronix said:
Is Advanced Linear and Matrix Algebra by Nathaniel Johnston a good book on linear algebra? Will it teach me all I need to know? Is there any calculus in it despite the name? I never took a course on linear algebra so I'm looking for something that teaches everything and includes calculus with matrices. If not, would you recommend a book?
Can you say more about what your interests are in learning Linear Algebra? What types of problems do you want to be able to understand and solve after working through this LA book? It sounds like you are mostly self studying -- what is your educational background so far?

LA has all kinds of applications, so the more we know about how you want to apply this knowledge, the better recommendations we can make. :smile:
 
berkeman said:
Can you say more about what your interests are in learning Linear Algebra? What types of problems do you want to be able to understand and solve after working through this LA book? It sounds like you are mostly self studying -- what is your educational background so far?

LA has all kinds of applications, so the more we know about how you want to apply this knowledge, the better recommendations we can make. :smile:
Yeah, I'm self-studying. I was taking calculus 3 and ordinary differential equations in school and had to quit in the middle because of a job offer. I hope to learn and solve problems in quantum mechanics and quantum electrodynamics.
 
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The book is fascinating. If your education includes a typical math degree curriculum, with Lebesgue integration, functional analysis, etc, it teaches QFT with only a passing acquaintance of ordinary QM you would get at HS. However, I would read Lenny Susskind's book on QM first. Purchased a copy straight away, but it will not arrive until the end of December; however, Scribd has a PDF I am now studying. The first part introduces distribution theory (and other related concepts), which...
I've gone through the Standard turbulence textbooks such as Pope's Turbulent Flows and Wilcox' Turbulent modelling for CFD which mostly Covers RANS and the closure models. I want to jump more into DNS but most of the work i've been able to come across is too "practical" and not much explanation of the theory behind it. I wonder if there is a book that takes a theoretical approach to Turbulence starting from the full Navier Stokes Equations and developing from there, instead of jumping from...

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