Advanced Plane Geometry

Patrick D. Barry

ISBN 10: 0244838224 / ISBN 13: 9780244838225

Published by Lulu.Com, 2019

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering - This book begins at the point where Professor Barry's text 'Geometry with Trigonometry' leaves off, and develops advanced elements of plane geometry. It culminates in an account of the geometry of conics in the complex projective plane. Along the way it considers invariants of affine, projective, and complex-affine plane geometry under the various appropriate group actions. The ideas and progressive generalisations are introduced in a gradual way, and thoroughly explored at each stage. Some of these ideas go back to difficult and little-read works from the nineteenth century, and are here rescued and made more accessible. Included are many gems of plane geometry that originated with masters such as Newton, Pascal, Carnot, Simson, and Desargues, and unexpected variations on classical Greek results such as Pythagoras' Theorem. The material is almost all accessible to anyone who understands elementary plane geometry.

Seller Inventory # 9780244838225

Bibliographic Details

• Title: Advanced Plane Geometry
• Publisher: Lulu.Com
• Publication Date: 2019
• Language: English
• ISBN 10: 0244838224
• ISBN 13: 9780244838225
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 280W x 210H x 28D millimeters 280 millimeters width by 210 millimeters height by 28 millimeters depth
• Weight: 1284 grams

About this title

Synopsis

This book begins at the point where Professor Barry's text 'Geometry with Trigonometry' leaves off, and develops advanced elements of plane geometry. It culminates in an account of the geometry of conics in the complex projective plane. Along the way it considers invariants of affine, projective, and complex-affine plane geometry under the various appropriate group actions. The ideas and progressive generalisations are introduced in a gradual way, and thoroughly explored at each stage. Some of these ideas go back to difficult and little-read works from the nineteenth century, and are here rescued and made more accessible. Included are many gems of plane geometry that originated with masters such as Newton, Pascal, Carnot, Simson, and Desargues, and unexpected variations on classical Greek results such as Pythagoras' Theorem. The material is almost all accessible to anyone who understands elementary plane geometry.

About the Author

Patrick D. Barry (1934-2021) served as served as Professor of Mathematics at University College Cork for many years, and also as Vice-President. He played a leadership role in the Irish Mathematical community, and was a world-class expert on entire functions. See https: //irishmathsoc.org/bull87/wef/Obits/Barry-wef.pdf