Important Notices: Orders in the US and Canada for Christmas must be placed by December 10th.
Out of Stock but will arrive in time for us to ship for Christmas: Fred and Kingie Dolls, Decimals and Percents

Due to changes in border crossing requirements we will be temporarily unable to ship to the USA or Internationally starting in January. We will be accepting USA and international orders until December 26th. We hope to be back shipping to the USA by March.

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Math to fit your personal style
and unique students.

# Life of Fred

... As Serious as It Needs to Be.

## Life of Fred Mathematics

### Life of Fred: Complex Analysis(For Math Majors)

Life of Fred:
Complex Analysis

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Complex Analysis is the theory of functions of a single complex variable. (That is: Functions that map from complex numbers to complex numbers.) This is advanced undergraduate mathematics with applications to even more advanced mathematics, physics, and engineering.

Topics include:
• Arithmetic in the complex plane
• Conjugates and absolute value
• Polar form
• Complex functions
• Graphing
• Limits and derivatives
• Cauchy-Riemann equations
• Holomorphic functions - Regions, open sets, connected sets
• Paths
• Analytic functions
• Integration along a path
• Fundamental Theorem of Complex Integration
• Piecewise smooth paths
• Paths with corners or cusps
• Cauchy’s theorem
• Closed paths
• Simple paths
• Cauchy–Goursat theorem
• Trig functions, exponents, and logs in the complex plane
• Argument of a polar complex function
• Morera’s theorem
• Three kinds of isolated singular points
• Order of a pole
• Proving L’Hospital’s rule in the complex plane
• Meromorphic functions
• Casorati-Weierstrass theorem
• Picard’s great theorem
• Cauchy’s formula
• Jordan curve theorem
• Liouville theorem
• Proof of the Fundamental Theorem of Algebra
• Taylor series and Laurent series
• Residue theorem
• Analytic continuation
• Riemann Zeta function
• Conformal Mappings
• Homotopic paths
• Harmonic functions
Unlike most other Complex Analysis programs, this one also has:
• Fred's scheduling issues
• Red Robin Hood

Life of Fred Complex Analysis is a hardcover textbook containing 176 pages. This book is not consumable. All answers are written on separate paper or in a notebook.

Number of Lessons: 24 Chapters. It is not broken up into daily lessons.