Mathematical Methods I

This module studies logic, sets, functions, complex numbers, (rudimentary) linear algebra, and univariate calculus.

 Lecture Notes

      1. Complex numbers: Introduction
      2. Constructing complex numbers
      3. Square-root of a complex number
    • Lecture 4
      1. Geometry of complex numbers
      2. Geometric interpretation of complex arithmetic
      3. Sine, cosine, and polar form of complex numbers
      4. \(\log\) and \(e\)
See also: The YouTube playlist Mathematical Methods for the Sciences I

References

  1. Geoff Smith (1998), Introductory Mathematics: Algebra and Analysis, Springer.
  2. Kevin Houston (2008), How to Think Like a Mathematician, University of Leeds. 
  3. 加藤文元 (2019), 『大学教養 微分積分』数研出版 (In Japanese).
  4. E. Landau (1966), The Foundations of Analysis, The Arithmetic of Whole, Rational, Irrational and Complex Numbers (3rd Edition of English translation), Chelsea Publishing.


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