TY - BOOK AU - Kanoussis, Demetrios P. TI - Complex numbers: an approach of understanding SN - 9781728861111 AV - QA 255 .K36 2017 PY - 2017/// CY - Kalamos Attikis, Greece PB - [publisher not identified] KW - NUMBERS, COMPLEX N1 - 1. Introduction -- 2. The Fundamental Laws in the Algebra of Complex Numbers -- 3. The Imaginary Unit -- 4. Conjugate Complex Numbers -- 5. The absolute Value or Modulus of a complex Number -- 6. The Trigonometric or Polar Form of a Complex Number -- 7. De Moivre's Theorem -- 8. Roots of Complex Numbers -- 9. The nth Roots of Unity -- 10. The Euler's Formulas -- 11. The Hyperbolic Functions -- 12. The Exponential Form of a complex number -- 13. The Logarithm of a complex number -- 14. The Complex plane N2 - Complex numbers have amazing applications, not only in Mathematics but in many areas of Physics and Engineering as well. In Mathematics complex numbers are used to evaluate certain types of infinite series and real valued improper integrals, while in Physics and Engineering in general, complex numbers help to study the flow of fluids around objects, to analyze Alternating Current Circuits, (a problem of great practical importance), to investigate the propagation of radio waves through various media, etc ER -