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Download Bundles of Lessons:: Vector Spaces

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Submitted by kapoor on Sun, 08/16/2020 - 14:08

This is a download page for viewing and downloading pdf files of different bundle of lessons.
The contents of different files are listed below.

Basic Concepts  (vs-lsb-01.pdf)

  1. Groups and Fields
  2. Vector Spaces and Subspaces
  3. Linear Independence and Basis
  4. Linear Functionals and Dual Vector Space
  5. New Vector Spaces from Old

Linear Operators-I (vs-lsb-02.pdf)

  1. Linear Operators, Commutator
  2. Inverse of an Operator
  3. Properties of the inverse

Vector Spaces with Inner Product  (vs-lsb-03.pdf)

  1. Inner Product
  2. Orthogonality
  3. Complete Orthonormal Sets
  4. Dirac Bra ket Notation

Linear Operators in Inner Product Spaces (vs-lsb-04.pdf)

  1. Some preliminary results
  2. Adjoint of an Operator
  3. Hermitian Operators
  4. Unitary Operators
  5. Normal Operators
  6. Spectral Theorem

 

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