Logarithm of Complex Variable

Below are some remarks about the logarithm function I made in Fall 2012 when I learned Complex Analysis from Professor Ben Brubaker and the textbook Ahlfors-"Complex Analysis".

  • Define logarithm by power series
  • Connection between two derivations

    • Compact Operators

    Below are some remarks I made in Summer 2011 when I learned Compact Operators from a series of online notes by Professor Paul Garrett.

  • Compact operators on Hilbert spaces
  • Hilbert-Schmidt operators and tensor product of two vector spaces
  • Wedge product
  • Verify some points in Chapter 3, Lieb and Seiringer-"The Stability of Matter in Quantum Mechanics".

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