Elementary Geometry
Elementary Geometry

Author: Ilka Agricola

Publisher: American Mathematical Soc.

Published: 2008

Total Pages: 257

ISBN-13: 0821843478

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Plane geometry is developed from its basic objects and their properties and then moves to conics and basic solids, including the Platonic solids and a proof of Euler's polytope formula. Particular care is taken to explain symmetry groups, including the description of ornaments and the classification of isometries.

Plain Plane Geometry
Plain Plane Geometry

Author: Amol Sasane

Publisher: World Scientific Publishing Company

Published: 2015-12-07

Total Pages: 269

ISBN-13: 9789814740432

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The book constitutes an elementary course on Plane Euclidean Geometry, pitched at pre-university or at advanced high school level. It is a concise book treating the subject axiomatically, but since it is meant to be a first introduction to the subject, excessive rigour is avoided, making it appealing to a younger audience as well. The aim is to cover the basics of the subject, while keeping the subject lively by means of challenging and interesting exercises. This makes it relevant also for students participating in mathematics circles and in mathematics olympiads. Each section contains several problems, which are not purely drill exercises, but are intended to introduce a sense of "play" in mathematics, and inculcate appreciation of the elegance and beauty of geometric results. There is an abundance of colour pictures illustrating results and their proofs. A section on hints and a further section on detailed solutions to all the exercises appear at the end of the book, making the book ideal also for self-study.

Elementary Euclidean Geometry
Elementary Euclidean Geometry

Author: C. G. Gibson

Publisher: Cambridge University Press

Published: 2003

Total Pages: 194

ISBN-13: 9780521834483

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This book, first published in 2004, is an example based and self contained introduction to Euclidean geometry with numerous examples and exercises.

Geometry: A Comprehensive Course
Geometry: A Comprehensive Course

Author: Dan Pedoe

Publisher: Courier Corporation

Published: 2013-04-02

Total Pages: 466

ISBN-13: 0486131734

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Introduction to vector algebra in the plane; circles and coaxial systems; mappings of the Euclidean plane; similitudes, isometries, Moebius transformations, much more. Includes over 500 exercises.

Elementary Algebraic Geometry
Elementary Algebraic Geometry

Author: Klaus Hulek

Publisher: American Mathematical Soc.

Published: 2003

Total Pages: 225

ISBN-13: 0821829521

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This book is a true introduction to the basic concepts and techniques of algebraic geometry. The language is purposefully kept on an elementary level, avoiding sheaf theory and cohomology theory. The introduction of new algebraic concepts is always motivated by a discussion of the corresponding geometric ideas. The main point of the book is to illustrate the interplay between abstract theory and specific examples. The book contains numerous problems that illustrate the general theory. The text is suitable for advanced undergraduates and beginning graduate students. It contains sufficient material for a one-semester course. The reader should be familiar with the basic concepts of modern algebra. A course in one complex variable would be helpful, but is not necessary.