INVITATION TO GEOMETRY

Book Details

• Author: Z. A. Melzak

• Publisher: Dover

• Edition: 2008

• Binding: Paperback

• Number of Pages: 225

• Release Date: 21-04-2008

• Language: English

• ISBN: 9780486466262

• Package Dimensions: 8.4 x 5.4 x 0.9 inches

About The Book
Geometry: A Comprehensive Course by Z. A. Melzak is designed to serve students with a basic understanding of mathematics, offering a broad introduction to several branches of geometry. The text is accessible to those with only a modest background in mathematics, including some familiarity with calculus and linear algebra.

This self-contained and flexible textbook covers a wide range of topics relevant to both classical and modern geometry. The author emphasizes making concepts memorable and directly tied to real-world applications, particularly in mechanics and calculus.

The book includes the following key subjects:

• Classical Euclidean Geometry: Exploring the foundations of geometric principles and figures.

• Polygonal and Circle Isoperimetry: A study of optimization related to polygons and circles.

• Conics and Pascal's Theorem: Understanding the properties and applications of conic sections.

• Geometrical Optimization: Techniques for finding optimal shapes and figures within certain constraints.

• Geometry and Trigonometry on a Sphere: Geometric properties and trigonometric relationships on spherical surfaces.

• Graphs and Convexity: An introduction to the relationship between geometry and graph theory, including convex sets.

• Differential Geometry of Curves: A foundation in differential geometry as it applies to curves and their properties.

Each chapter concludes with exercises of varying difficulty, allowing students to test their comprehension and apply the material to different contexts.

This book is perfect for those looking to gain a deeper understanding of geometry and its connection to other mathematical fields. The author's approach is designed to make complex topics more accessible and memorable.