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Life of Fred: Complex Analysis
SKU
080319
ISBN
9781937032616
Grade 11-12
Neutral
Low Teacher Involvement
Visual
No other materials needed
Sequential
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Traditional
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Charlotte Mason
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Learns through seeing, prefers written instructions and visual materials.
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No other materials needed
Everything you need is included.
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Our Price
$49.00 
Description
Publisher's Description of Life of Fred: Complex Analysis
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.
Category Description for Life Of Fred
Life of Fred (LOF) is an unconventional series of math texts that seem accessible and friendly, especially for students who dislike traditional programs. According to Dr. Schmidt, the author, this series is designed to teach you the math you need to know without repetition, redundancy, and a multitude of problems to work. LOF follows the storyline of Fred's life while incorporating solid math concepts and skills. Motivated or independent students will appreciate this series, as well as gifted math students who might need a challenge. Written to the student and intended to be self-teaching, the author prefers that students use these with very little help from you, so they can learn to study and understand on their own. Even the solutions (found in the text) are addressed to the student. In fact, there's a lot of actual instruction in the solutions, which students should read after trying to solve problems on their own. Math in a story context can sometimes make more sense to students than stand-alone math concepts - especially if it's an entertaining story! Students do two books per year up through pre-algebra; beginning with algebra, one book per year.
Details
| Product Format: | Hardcover |
|---|---|
| Brand: | Polka Dot Publishing |
| Author: | Stanley F. Schmidt |
| Grades: | 11-12 |
| ISBN: | 9781937032616 |
| Length in Inches: | 10.3125 |
| Width in Inches: | 7.125 |
| Height in Inches: | 0.625 |
| Weight in Pounds: | 1.2 |
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