Kanoussis, Demetrios P.

Complex numbers : an approach of understanding / Demetrios P. Kanoussis - First edition, June 2017 - Kalamos Attikis, Greece : [publisher not identified], c2017 - 90 pages ; 28 cm.

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.

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.

9781728861111


NUMBERS, COMPLEX

QA 255 .K36 2017