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Complex Analysis

by Russell W. Howell

Complex analysis, from theory to applications

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AlbakiReads Editorial

Complex analysis, from theory to applications

Russell W. Howell’s text presents a first course in complex analysis that balances theoretical ideas with applications in science and engineering. Alongside the mathematical material, it surveys the history of complex numbers, including the controversies surrounding their development, and devotes a section to the Mandelbrot set. The description also emphasizes flexibility for different teaching approaches without setting aside theoretical detail, making the book’s scope relevant to both course planning and independent study.

Good fit for readers who enjoy

  • Students beginning a course in complex analysis
  • Instructors seeking material adaptable to different teaching approaches
  • Readers interested in connections between complex analysis and science or engineering

Themes

Complex analysisHistory of complex numbersMathematics in science and engineeringThe Mandelbrot set

Based on publisher information and book metadata.

Book overview

This text, which is also available in HTML and PDF formats at https: //complexanalysis.org, was vetted through six editions with Jones and Bartlett publishing. It provides a comprehensive first course in complex analysis to include many applications in science and engineering. Designed to display the beauty of mathematical thinking, it contains a survey of the intricate and controversial history of the evolution of complex numbers. It is written in a way that allows for flexibility in teaching styles, but does not gloss over theoretical notions. There is an interesting section on the Mandelbrot set, as well as sections dealing with applications in a variety of areas.

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