IMS Content
1.1.4
M208_6_1.0
Number systems
Number systems and the rules for combining numbers can be daunting. This unit will help you to understand the detail of rational and real numbers, complex numbers and integers. You will also be introduced to modular arithmetic and the concept of a relation between elements of a set.
Mathematics and Statistics
Complex_numbers
linear_equations
number_systems
quadratic_equations
real_numbers
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Narrative Text
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AttributionNoncommercialShare Alike 2.0 UK: England & Wales http://creativecommons.org/licenses/byncsa/2.0/uk/
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References
An OU course on this topic  Open University links
URL
http://www3.open.ac.uk/courses/bin/p12.dll?C01M208
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References
Study this topic at the OU  Open University links
URL
http://www3.open.ac.uk/courses/classifications/mathematics_and_statistics.shtm
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References
open2.net: Science & Nature  Open University links
URL
http://www.open2.net/sciencetechnologynature/
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This is the title and course code of the source course material
COURSE
Pure mathematics  M208
Number systems

Introduction

Introduction

1 Real numbers

1.1 Rational numbers

1.2 Real numbers

1.3 Further exercises

2 Complex numbers

2.1 What is a complex number?

2.2 The complex plane

2.3 Complex arithmetic

2.4 Complex conjugate

2.5 Modulus of a complex number

2.6 Division of complex numbers

2.7 Arithmetical properties of complex numbers

2.8 Polar form

2.9 Roots of polynomials

2.10 The complex exponential function

2.11 Further exercises

3 Modular arithmetic

3.1 Division

3.2 Congruence

3.3 Operations in modular arithmetic

3.4 Modular multiplication

3.5 Further exercises

4 Equivalence relations

4.1 What is a relation?

4.2 Equivalence relations

4.3 Further exercises

References and Acknowledgements

Acknowledgements

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