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