Geometry includes the study of angles, triangles as well as the study of perimeter, area and volume. Knowlege of geometry is absolutely necessary for everyone. The actual word geometry means earth measure. Here you will find a variety of books that teach and extend knowledge of many of the geometric concepts.
1) A Course in Modern Geometries
This comprehensive book by Judith Cederberg is directed toward senior mathematics majors who may be entertaining the notion of teaching Math at the secondary school level. Topics addressed include: Finite Geometries, Fractal Geometry, Transformations of the Eucledian Plane, the ASA Theorem etc.
2) A Course In Differential Geometry
A very advanced book in Geometry written by Chuan-Chin Hsiung. This particular book is highly recommended by the American Mathematical Society (AMS) and is on their 'Best Selling Publlications' List. Includes chapters on Eucledian Spaces, Curves, and Local and Global Theory of Surfaces.
3) Short Course in Geometry
Patricia Juelg provides a self-paced approach for late high school students wanting a better grasp of advanced geometric concepts. Addresses the following concepts: : logic, sets and set notation, systems of measurement, geometric figures (two- and three-dimensional), geometric relationships, area and volume, congruent and similar triangles and geometric constructions.
4) Basic Geometry
A comprehensive course in basic geometry skills and concepts. Topics include coordinate and solid geometry, deductive reason, and transformations. For the high school student who has completed elementary geometry.
5) Algebraic Geometry
Algebraic geometry is the study of geometries that come from algebra. This text is an introduction to algebraic geometry that focuses on the roots of algebraic geometry. Provides many examples and is geared toward the finishing highschool student.
6) Challenging Problems in Geometry
For grade 11 and 12 students. Provides some challenging problems in congruence and parallelism, the Pythagorean theorem, circles, area relationships, Ptolemy and the cyclic quadrilateral, collinearity and concurrency and many other topics. Solutions have been provided. Great practice for the secondary student with an interest in mathematics.
7) Fundamental Concepts in Geometry
This text provides a clear and concise approach for the relationships between many types of geometry. A superb teaching text, and it provides a very clear overview of the foundations and historical evolution of geometrical concepts. The history of mathematics is a part of most high school curriculum.
8) Dictionary of Curious and Interesting Geometry
This dictionary is chalf full of fascinating theorems and terms and facts about geometry. This excellent reference includes a chronological list of Mathematicians and their contributions to Geometry. An excellent alphabetized index of every possible geometric theorem, term and mathematician.
9) The Roads to Geometry
For the high school student. Calculus is a prerequisite for following 'The Roads to Geometry'. This text (March 2001) clarifies, extends, and unifies concepts discussed in high school geometry courses. Gives learners a comprehensive introduction to plane geometry while providing a historical aspect.
10) Geometry: A High School Course
This resources addresses much of the curricular topics in geometry at the high school level. A self learning resource for the secondary student.
