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Revision as of 22:21, 24 April 2012
Chapter 1: Infinite Series, Power Series - 2: Complex Numbers - 3: Linear Equations; Vectors, Matrices, and Determinants
- 1. Introduction
- 2. Real and imaginary parts of a complex number
- 3. The complex plane
- 4. Terminology and notation
- 5. Complex algebra
- 6. Complex infinite series
- 7. Complex power series; circle of convergence
- 8. Elementary functions of complex numbers
- 9. Euler's Formula
- 10. Powers and roots of complex numbers
- 11. The exponential and trigonometric functions
- 12. Hyperbolic functions
- 13. Logarithms
- 14. Complex roots and powers
- 15. Inverse trigonometric and hyperbolic functions
- 16. Some applications
- 17. Miscellaneous Problems
