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Elementary Abstract Algebra: Examples and Applications by HILL, JUSTIN. THRON CHRIS (eds.) is a nonfiction available to read on EtoBox.

What is Elementary Abstract Algebra: Examples and Applications about?

Forward 13 In the Beginning 17 Prologue 17 Integers, rational numbers, real numbers 18 Operations and relations 19 Manipulating equations and inequalities 22 Exponentiation (VERY important) 22 Test yourself 23 Complex Numbers 25 The origin of complex numbers 25 A number that can't be real (and we can prove it!) 25 Unreal, but unavoidable 28 A mathematical revolution 30 Arithmetic with complex numbers 34 Complex arithmetic 34 Comparison of integer, rational, real and complex addition properties 39 Comparison of integer, rational, real and complex multiplication properties 40 Modulus and complex conjugate 41 Alternative representations of complex numbers 45 Cartesian representation of complex numbers 45 Vector representation of complex numbers 46 Polar representation of complex numbers 47 Converting between rectangular and polar form 47 Multiplication and powers in complex polar form 51 A Remark on representations of complex numbers 57 Applications of complex numbers 59 General remarks on the usefulness of complex numbers 59 Complex numbers, sine and cosine waves, and phasors 59 Roots of unity and regular polygons 65 Arbitrary nth roots 71 Complex roots of polynomial equations 73 Mo

Who reads Elementary Abstract Algebra: Examples and Applications?

Author

HILL, JUSTIN. THRON CHRIS (eds.)

Publisher

LULU COM

Published

2016

Language

EN

ISBN

9781312856356

Category

nonfiction

Subjects

Mathematics, Algebra, Stem