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Maths: A Student's Survival Guide by Jenny Olive

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10 Complex numbers

In this chapter we powerfully extend the possibilities of what we can do with our number system. This extension leads us to simpler ways of finding mathematical rules. It also has many very important physical applications.

The chapter is divided into the following sections.

10.A A new sort of number

(a) Finding the missing roots,

(b) Finding roots for all quadratic equations,

(c) Modulus and argument (or mod and arg for short)

10.B Doing arithmetic with complex numbers

(a) Addition and subtraction,

(b) Multiplication of complex numbers,

(c) Dividing complex numbers in mod/arg form,

(d) What are complex conjugates?

(e) Using complex conjugates to simplify fractions

10.C How e connects with complex numbers

(a) Two for the price ...

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