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An Elementary Course in Synthetic Projective Geometry   By: (1868-1938)

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An Elementary Course in Synthetic Projective Geometry by Derrick Norman Lehmer is a comprehensive and highly informative book that provides readers with a thorough introduction to the principles and applications of synthetic projective geometry.

The author showcases his expertise in the subject matter by presenting the content in a clear and concise manner. The book is structured in a logical sequence, starting with the basic concepts and gradually building up to more advanced topics. This progressive approach allows readers to grasp the fundamentals before delving into the more complex aspects of projective geometry.

Lehmer's writing style is exceedingly accessible, making even the most challenging concepts easy to comprehend. His explanations are accompanied by numerous helpful examples and diagrams, which aid in visualizing the geometric principles being discussed. This visual representation greatly enhances the reader's understanding and enables them to grasp the material more effectively.

One of the standout features of this book is its emphasis on practical applications. Lehmer provides numerous real-world examples where projective geometry is utilized, ranging from art and architecture to computer vision and computer graphics. This focus on application not only brings the subject matter to life but also demonstrates its relevance across different disciplines.

Moreover, the book is designed to cater to a range of readers, from students studying the subject for the first time to professionals seeking a comprehensive reference. The inclusion of exercises at the end of each chapter further solidifies the reader's understanding, allowing them to practice and apply the concepts learned.

Despite its notable strengths, there are a few minor drawbacks. Some readers may find the pace of the book a bit fast, especially in the later chapters, where more complex concepts are introduced. Additionally, a more extensive glossary or index could have been included to aid in locating specific terms or topics.

Overall, An Elementary Course in Synthetic Projective Geometry is an excellent resource for anyone seeking a solid foundation in projective geometry. The author's expertise, combined with the book's clear explanations, practical applications, and ample examples, make it an invaluable tool for students, academics, and professionals alike.

First Page:

An Elementary Course in Synthetic Projective Geometry

by Lehmer, Derrick Norman

Edition 1, (November 4, 2005)

PREFACE

The following course is intended to give, in as simple a way as possible, the essentials of synthetic projective geometry. While, in the main, the theory is developed along the well beaten track laid out by the great masters of the subject, it is believed that there has been a slight smoothing of the road in some places. Especially will this be observed in the chapter on Involution. The author has never felt satisfied with the usual treatment of that subject by means of circles and anharmonic ratios. A purely projective notion ought not to be based on metrical foundations. Metrical developments should be made there, as elsewhere in the theory, by the introduction of infinitely distant elements.

The author has departed from the century old custom of writing in parallel columns each theorem and its dual. He has not found that it conduces to sharpness of vision to try to focus his eyes on two things at once. Those who prefer the usual method of procedure can, of course, develop the two sets of theorems side by side; the author has not found this the better plan in actual teaching.

As regards nomenclature, the author has followed the lead of the earlier writers in English, and has called the system of lines in a plane which all pass through a point a pencil of rays instead of a bundle of rays , as later writers seem inclined to do... Continue reading book >>




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