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Table of Contents:
  1. Vector Spaces and Matrices:Unitary Operators, The Adjoint Matrix, Rank and Nullity
  2. Orthogonal Functions:The Recurrence Formula, Modifying the Weight Function
  3. The Roots of Polynomial Equations:The Gauss-Lucas Theorem, Other Numerical Methods
  4. Asymptotic Expansions:Stirling's Formula, The Method of Laplace for Integrals
  5. Ordinary Differential Equations:Equations of the First Order, The Gamma Function
  6. Conformal Mapping:Univalent Functions, A Constructive Approach
  7. Extremum Problems:Functions of Real Variables, Distinguishing Maxima from Minima
  8. Solutions of the Exercises
  9. Books Referred to in the Text
  10. Original Works Cited in the Text
  11. Index