Linear algebra with complex numbers

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SUMMARY

The discussion centers on the necessity of understanding linear algebra with complex numbers for quantum mechanics (QM). A highly recommended resource is the book available at Linear Algebra with Differential Forms by the author from Brown University. The book effectively covers the similarities and differences between linear algebra over complex and real numbers, providing essential topics relevant to QM. This resource is deemed excellent for self-study in this area.

PREREQUISITES
  • Basic understanding of linear algebra concepts
  • Familiarity with complex numbers and their properties
  • Knowledge of quantum mechanics fundamentals
  • Ability to engage with mathematical proofs and derivations
NEXT STEPS
  • Study the book "Linear Algebra with Differential Forms" for a comprehensive understanding of linear algebra with complex numbers
  • Explore the applications of linear algebra in quantum mechanics
  • Research the differences between linear algebra over complex and real numbers
  • Practice solving problems involving complex vector spaces and transformations
USEFUL FOR

This discussion is beneficial for students and professionals in physics, particularly those focusing on quantum mechanics, as well as mathematicians and educators seeking to deepen their understanding of linear algebra with complex numbers.

Ahmad Kishki
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Recommend a self study book for linear algebra with complex numbers
 
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I saw that you needed this for QM. In that case, everything you need to know is in this beautiful and excellent book: http://www.math.brown.edu/~treil/papers/LADW/LADW.html

You will find that LA over complex numbers is not very different from LA over the reals. But you'll see many topics in this book that are helpful for QM.
 
micromass said:
I saw that you needed this for QM. In that case, everything you need to know is in this beautiful and excellent book: http://www.math.brown.edu/~treil/papers/LADW/LADW.html

You will find that LA over complex numbers is not very different from LA over the reals. But you'll see many topics in this book that are helpful for QM.

Thank you very much.
 

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