Introductory Geometry and Proofs (Everyone Math Institute Math series)

By Dr. Meijun Zhu

The "Everyone Math" series consists of three books, and this is Volume Two: Introduction to Geometry and Proofs. The first part starts with algebraic operations on proportional relationships and introduces one-dimensional and two-dimensional geometric quantities and calculations (including the derivation of the area of a rectangle and a circle). It begins with the relationships between line segments and introduces the four types of proofs in mathematics, applying them to subsequent mathematical learning. The second part covers the study of congruent and similar geometric shapes and introduces some basic facts about circles and their related segments. In the study of circles, we also introduce the general definitions of trigonometric functions and their relationship with complex numbers, providing a deeper understanding of complex numbers introduced in the Volume one: Introductory Algebra. The third part focuses on the integration and extension of geometry and algebra. We first extend the operations of one-dimensional numbers to vector operations, then use the learned algebraic techniques combined with geometric proofs to study the algebraic characterization of geometric shapes. We further explore the relationship between general trigonometric functions and complex numbers, deepening the understanding of complex numbers introduced in Introductory Algebra. Finally, we introduce conic sections and matrix operations, showing students how machines help humans perform large-scale calculations. This series aims to provide a systematic set of elementary mathematics learning materials, adhering to the principle of understanding both the 'how' and the 'why'. It starts with algebra to enable students to complete elementary mathematics learning more effectively and logically within a shorter time frame, thus preparing them for the next stage of advanced mathematics. The series is suitable for middle school students and above, as well as capable parents. It can also serve as a reference book for middle and high school math teachers.

• Format: Paperback
• Language: English
• ISBN: B0D8Q1QGCJ
• ISBN13: 9798329919127
• Release Date: July 2024
• Publisher: Independently published
• Length: 133 Pages
• Weight: 0.76 lbs.
• Dimensions: 10.5" x 0.3" x 7.3"