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Elementary Euclidean Geometry

An Introduction

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Hardcover | 26 May 2004

At a Glance

Hardcover
192 Pages

Dimensions(cm)
22.86 x 15.24 x 1.27

Hardcover

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This book, first published in 2004, is a genuine introduction to the geometry of lines and conics in the Euclidean plane. Lines and circles provide the starting point, with the classical invariants of general conics introduced at an early stage, yielding a broad subdivision into types, a prelude to the congruence classification. A recurring theme is the way in which lines intersect conics. From single lines one proceeds to parallel pencils, leading to midpoint loci, axes and asymptotic directions. Likewise, intersections with general pencils of lines lead to the central concepts of tangent, normal, pole and polar. The treatment is example based and self contained, assuming only a basic grounding in linear algebra. With numerous illustrations and several hundred worked examples and exercises, this book is ideal for use with undergraduate courses in mathematics, or for postgraduates in the engineering and physical sciences.

Industry Reviews

'This is a nice and self-contained introduction into the geometry of the lines and the conics in the Euclidean plane within an analytical context'. Zentralblatt MATH

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You Can Find This Book In

Non-Fiction Mathematics Geometry Euclidean Geometry Analytic Geometry Calculus & Mathematical Analysis

List of Figures
List of Tables
Preface
Acknowledgements
Points and Lines	p. 1
The Euclidean Plane	p. 12
Circles	p. 22
General Conics	p. 32
Centres of General Conics	p. 44
Degenerate Conics	p. 54
Axes and Asymptotes	p. 65
Focus and Directrix	p. 76
Tangents and Normals	p. 88
The Parabola	p. 98
The Ellipse	p. 105
The Hyperbola	p. 114
Pole and Polar	p. 125
Congruences	p. 137
Classifying Conics	p. 149
Distinguishing Conics	p. 159
Uniqueness and Invariance	p. 167
Index	p. 171
Table of Contents provided by Blackwell. All Rights Reserved.

Elementary Euclidean Geometry

An Introduction

At a Glance

Hardcover

Industry Reviews

Shipping

How to return your order

Defective items

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