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Learn the principles of complex analysis, the study of the algebra, geometry and calculus of complex numbers, from Wolfram's free, self-paced video course. Earn a certificate.
This course provides a basic introduction to the properties and applications of complex numbers and functions with the help of visualization and computation tools in Wolfram Language. Complex analysis is a versatile tool that is used extensively in science, engineering and other fields. It is also a beautiful topic in itself. The course covers the complex plane; polar coordinates; complex, analytic and harmonic functions; Cauchy's theorem and integral formula; series representations; the residue theorem and application areas where complex analysis is used. The emphasis is on visualization and hands-on exercises, rather than on comprehensive proofs. A free ebook version of this material is available as part of the Wolfram eTextbook Series. Wolfram AI Course Assistant is available for this interactive course.
This course provides a basic introduction to the properties and applications of complex numbers and functions with the help of visualization and computation tools in Wolfram Language. Complex analysis is a versatile tool that is used extensively in science, engineering and other fields. It is also a beautiful topic in itself. The course covers the complex plane; polar coordinates; complex, analytic and harmonic functions; Cauchy's theorem and integral formula; series representations; the residue theorem and application areas where complex analysis is used. The emphasis is on visualization and hands-on exercises, rather than on comprehensive proofs. A free ebook version of this material is available as part of the Wolfram eTextbook Series. Wolfram AI Course Assistant is available for this interactive course.
