HAPTER 1 COMPLEX NUMBERS 1 1. SUMS AND PRODUCTS 1 2. BASIC ALGEBRAIC PROPERTIES 3 3. FURTHER ALGEBRAIC PROPERTIES 5 4. VECTORS AND MODULI 8 5. TRIANGLE INEQUALITY 11 6. COl\ilPLEX CONJUGATES 14 7. EXPONENTIAL FORM 17 8. PRODUCTS AND POWERS IN EXPONENTIAL FORM 20 9. ARGUMENTS OF PRODUCTS AND QUOTIENTS 21 10. ROOTS OF COMPLEX NUMBERS 25 11. EXAMPLES 28 12. REGIONS IN THE COMPLEX PLANE 32
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