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

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SUMMARY

Advanced Linear and Matrix Algebra by Nathaniel Johnston is a recommended resource for individuals seeking to learn linear algebra comprehensively. The book covers essential concepts and applications, making it suitable for self-study, particularly for those with a background in calculus and differential equations. While the discussion raises questions about the inclusion of calculus, it emphasizes the importance of understanding the applications of linear algebra in fields such as quantum mechanics and quantum electrodynamics.

PREREQUISITES
  • Basic understanding of calculus, particularly Calculus 3.
  • Familiarity with ordinary differential equations.
  • Interest in applications of linear algebra in physics.
  • Self-study skills and motivation.
NEXT STEPS
  • Explore additional resources on quantum mechanics and its mathematical foundations.
  • Research supplementary linear algebra textbooks that include calculus applications.
  • Investigate online courses focused on linear algebra and its applications in physics.
  • Learn about matrix calculus and its relevance in advanced applications.
USEFUL FOR

Students and self-learners interested in mastering linear algebra, particularly those aiming to apply their knowledge in quantum mechanics and related fields.

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.
 
Last edited:
i am self learning physics. have you ever worked your way backwards again after finishing most undergrad courses? i have textbooks for junior/senior physics courses in classical mechanics, electrodynamics, thermal physics, quantum mechanics, and mathematical methods for self learning. i have the Halliday Resnick sophomore book. working backwards, i checked out Conceptual Physics 11th edition by Hewitt and found this book very helpful. What i liked most was how stimulating the pictures...

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