Ebook: Geometry

Geometry is probably the most accessible branch of mathematics, and can provide an easy route to understanding some of the more complex ideas that mathematics can present. This book is intended to introduce readers to the major geometrical topics taught at undergraduate level, in a manner that is both accessible and rigorous. The author uses world measurement as a synonym for geometry - hence the importance of numbers, coordinates and their manipulation - and has included over 300 exercises, with answers to most of them. The text includes such topics as:
- Coordinates
- Euclidean plane geometry
- Complex numbers
- Solid geometry
- Conics and quadratic surfaces
- Spherical geometry
- Quaternions
It is suitable for all undergraduate geometry courses, but it is also a useful resource for advanced sixth formers, research mathematicians, and those taking courses in physics, introductory astronomy and other science subjects.

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Geometry is probably the most accessible branch of mathematics, and can provide an easy route to understanding some of the more complex ideas that mathematics can present. This book is intended to introduce readers to the major geometrical topics taught at undergraduate level, in a manner that is both accessible and rigorous. The author uses world measurement as a synonym for geometry - hence the importance of numbers, coordinates and their manipulation - and has included over 300 exercises, with answers to most of them. The text includes such topics as:
- Coordinates
- Euclidean plane geometry
- Complex numbers
- Solid geometry
- Conics and quadratic surfaces
- Spherical geometry
- Quaternions
It is suitable for all undergraduate geometry courses, but it is also a useful resource for advanced sixth formers, research mathematicians, and those taking courses in physics, introductory astronomy and other science subjects.

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Geometry is probably the most accessible branch of mathematics, and can provide an easy route to understanding some of the more complex ideas that mathematics can present. This book is intended to introduce readers to the major geometrical topics taught at undergraduate level, in a manner that is both accessible and rigorous. The author uses world measurement as a synonym for geometry - hence the importance of numbers, coordinates and their manipulation - and has included over 300 exercises, with answers to most of them. The text includes such topics as:
- Coordinates
- Euclidean plane geometry
- Complex numbers
- Solid geometry
- Conics and quadratic surfaces
- Spherical geometry
- Quaternions
It is suitable for all undergraduate geometry courses, but it is also a useful resource for advanced sixth formers, research mathematicians, and those taking courses in physics, introductory astronomy and other science subjects.
Content:
Front Matter....Pages i-xii
The Geometry of Numbers....Pages 1-28
Coordinate Geometry....Pages 29-62
The Geometry of the Euclidean Plane....Pages 63-98
The Geometry of Complex Numbers....Pages 99-136
Solid Geometry....Pages 137-181
Projective Geometry....Pages 183-210
Conics and Quadric Surfaces....Pages 211-251
Spherical Geometry....Pages 253-285
Quaternions and Octonions....Pages 287-303
Back Matter....Pages 305-313

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Geometry is probably the most accessible branch of mathematics, and can provide an easy route to understanding some of the more complex ideas that mathematics can present. This book is intended to introduce readers to the major geometrical topics taught at undergraduate level, in a manner that is both accessible and rigorous. The author uses world measurement as a synonym for geometry - hence the importance of numbers, coordinates and their manipulation - and has included over 300 exercises, with answers to most of them. The text includes such topics as:
- Coordinates
- Euclidean plane geometry
- Complex numbers
- Solid geometry
- Conics and quadratic surfaces
- Spherical geometry
- Quaternions
It is suitable for all undergraduate geometry courses, but it is also a useful resource for advanced sixth formers, research mathematicians, and those taking courses in physics, introductory astronomy and other science subjects.
Content:
Front Matter....Pages i-xii
The Geometry of Numbers....Pages 1-28
Coordinate Geometry....Pages 29-62
The Geometry of the Euclidean Plane....Pages 63-98
The Geometry of Complex Numbers....Pages 99-136
Solid Geometry....Pages 137-181
Projective Geometry....Pages 183-210
Conics and Quadric Surfaces....Pages 211-251
Spherical Geometry....Pages 253-285
Quaternions and Octonions....Pages 287-303
Back Matter....Pages 305-313
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