Mathematical Methods in the Physical Sciences/Chapter 2/section sidebar

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