Complex Numbers Made Simple

Front Cover
Newnes, Mar 12, 1996 - Business & Economics - 128 pages
Complex Numbers lie at the heart of most technical and scientific subjects. This book can be used to teach complex numbers as a course text,a revision or remedial guide, or as a self-teaching work. The author has designed the book to be a flexible
learning tool, suitable for A-Level students as well as other students in higher and further education whose courses include a substantial maths component (e.g. BTEC or GNVQ science and engineering courses). Verity Carr has accumulated nearly thirty years of experience teaching mathematics at all levels and has a rare gift for making mathematics simple and enjoyable. At Brooklands College, she has taken a leading role in the development of a highly successful Mathematics Workshop. This series of Made Simple Maths books widens her audience but continues to provide the kind of straightforward and logical approach she has developed over her years of teaching.
 

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Contents

Chapter 1 The quadratic formula
1
Chapter 2 The algebra of complex numbers
7
Chapter 3 The Argand diagram
17
Chapter 4 The modulus argument form for a complex number
19
Chapter 5 Products and quotients using the rcosθ +isinθ form
31
Chapter 6 The four operations on the Argand diagram
39
Chapter 7 Useful facts
45
Chapter 8 A sample question
47
Chapter 12 Use of De Moivres theorem II
67
Chapter 13 The cube roots of unity
71
Chapter 14 The nth roots of unity where n is a positive integer
77
Chapter 15 The nth roots of any complex number
81
Chapter 16 The exponential form for a complex number
89
Chapter 17 Locus questions plural is loci
95
Chapter 18 Transformations of the Argand diagram
111
Chapter 19 A sample question
119

Chapter 9 Further questions
49
Chapter 10 De Moivres theorem
57
Chapter 11 Use of De Moivres theorem I
63
Chapter 20 Further questions
123
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