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  • PDF Name: Complex Analysis
  • Author: Christian Berg
  • Book’s Language: English
  • Published Year: 2012
  • Pages: 192
  • File Size: 1.06 MB
  • Downloads Type: Free PDF Download Books
  • PDF File Name: Complex-Analysis.pdf
  • Read PDF Online: Read Complex Analysis Book PDF Online
  • Category of the Book: Education
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Summary of Complex Analysis by Christian Berg

Complex Document Analysis Highlights

  1. Complex analysis is a field of mathematics that studies functions of complex variables.
  2. Complex analysis studies complex numbers, which are real numbers a + bi and the imaginary unit (-1).
  3. The document introduces complex numbers, their properties, arithmetic operations, and complex plane representation.
  4. Complex functions, which take and output complex numbers, are covered.
  5. The document discusses power series expansions of complex analytic functions.
  6. Analytic functions require the Cauchy-Riemann equations.
  7. Contour integration integrates complex functions along complex plane pathways.
  8. The residue theorem helps evaluate complex integrals and compute certain real integrals.
  9. Singularities are points where a function behaves strangely or is undefined.
  10. It covers important subjects including singularity categorization (removable, poles, essential), Laurent series expansions, and residue computation.
  11. Physics, engineering, and computer science use complicated analysis.
  12. The document includes examples and tasks to reinforce the concepts discussed.

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