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Introduction to Complex Numbers in physics /EngineeringReference: Mary L. Boas, mathematical methods in the Physical SciencesChapter 2 & 14 George Arfken, mathematical methods for PhysicistsChapter 6 The real Numbers (denotedR) are incomplete (not closed) in the sense that standard op-erations applied to some real Numbers do not yield a real number result ( , square root: 1). It is surprisingly easy to enlarge the set of real numbersproducing a set of numbersthatisclosed under standard operations: one simply needs to include 1 (and linearcombinations of it). This enlarged field of Numbers , called thecomplex Numbers (denotedC), consists of Numbers of the form:z=a+b 1 whereaandbare real Numbers .
Introduction to Complex Numbers in Physics/Engineering Reference: Mary L. Boas, Mathematical Methods in the Physical Sciences Chapter 2 & 14 George Arfken, Mathematical Methods for Physicists
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