Complex Numbers Made Simple
About this book
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 flexiblelearning 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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Information
Table of contents
- Front Cover
- Complex Numbers Made Simple
- Copyright Page
- Table of Contents
- Foreword
- Author's note
- What you must already knovv before starting this book
- Chapter 1. The quadratic formula
- Chapter 2. The algebra of complex numbers
- Chapter 3. The Argand diagram
- Chapter 4. The modulus, argument form for a complex number
- Chapter 5. Products and quotients, using the r(cosθ +isinθ) form
- Chapter 6. The four operations on the Argand diagram
- Chapter 7. Useful facts
- Chapter 8. A sample question
- Chapter 9. Further questions
- Chapter 10. De Moivre's theorem
- Chapter 11. Use of De Moivre's theorem I
- Chapter 12. Use of De Moivre's theorem II
- Chapter 13. The cube roots of unity
- Chapter 14. The nth roots of unity, where n is a positive integer
- Chapter 15. The nth roots of any complex number
- Chapter 16. The exponential form for a complex number
- Chapter 17. Locus questions (plural is loci)
- Chapter 18. Transformations of the Argand diagram
- Chapter 19. A sample question
- Chapter 20. Further questions
