Basic Lessons On Isometries, Similarities And Inversions In The Euclidean Plane: A Synthetic Approach - Softcover

Roussos, Ioannis Markos

Softcover

ISBN 10: 981124037X ISBN 13: 9789811240379

Publisher: WSPC, 2021

Synopsis

The aim of this book is to provide a complete synthetic exposition of plane isometries, similarities and inversions to readers who are interested in studying, teaching, and using this material. The topics developed in this book can provide new proofs and solutions to many results and problems of classical geometry, which are presented with different proofs in the literature. Their applications are numerous and some, such as the Steiner Chains and Point, are useful to engineers. The book contains many good examples, important applications and numerous exercises of various level and difficulty, which are classified in the three groups of: general exercises, geometrical constructions, and geometrical loci. Some lengthy exercises or groups of related exercises can be viewed as projects. On the basis of the above, this book, besides Classical Geometry, is an important addition to Mathematics Education.

About this title

About the Author

<p>A native of Greece, <strong>Ioannis Markos Roussos</strong> received his PhD in mathematics from the University of Minnesota, in 1987. He taught at the University of Minnesota, the University of South Alabama, Mobile, and the Hamline University, Saint Paul, Minnesota. He has published and refereed several papers in Differential Geometry and Analysis, and he is the author of the book <em>Improper Riemann Integrals</em>, published by CRC Press, Taylor & Francis. The last 15 years he concentrated in Mathematics Education at Hamline University, in which the courses of Classical and Modern Geometries are compulsory for Mathematics Education and teachers' degree program. A product of this eventuality is the book at hand. He has been a member of AMA and AMS since 1977.</p>

Edition details

• Publisher: WSPC
• Publication date: 2021
• Language: English
• ISBN 10: 981124037X
• ISBN 13: 9789811240379
• Binding: Paperback
• Number of pages: 500