Elementary Geometry

Elementary Geometry
Author: Ilka Agricola
Publisher: American Mathematical Soc.
Total Pages: 257
Release: 2008
Genre: Mathematics
ISBN: 0821843478

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
Total Pages: 269
Release: 2015-12-07
Genre: Mathematics
ISBN: 9789814740432

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
Total Pages: 194
Release: 2003
Genre: Mathematics
ISBN: 9780521834483

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
Total Pages: 466
Release: 2013-04-02
Genre: Mathematics
ISBN: 0486131734

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.
Total Pages: 225
Release: 2003
Genre: Mathematics
ISBN: 0821829521

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.