Introduction to Non-Euclidean Geometry

Book Details

• Author: Wolfe

• Publisher: Dover

• Edition: Reprint Edition

• Binding: Paperback

• Format: Illustrated

• Number of Pages: 254

• Release Date: 30-11-2012

• ISBN: 9780486498508

• Languages: English

• Package Dimensions:

  • Length: 8.5 inches

  • Width: 5.4 inches

  • Height: 0.6 inches

About The Book
"Non-Euclidean Geometry" by Wolfe is a classic and concise college-level text for elementary courses in non-Euclidean geometry, making it an ideal resource for students who are already familiar with calculus. This accessible and readable volume takes a deep dive into the historical journey that led to the proof of Euclid's parallel postulate, an essential moment in the evolution of mathematics.

The book covers key topics such as hyperbolic plane geometry and hyperbolic plane trigonometry, applying calculus to solve problems within hyperbolic geometry. It also explores elliptic plane geometry and trigonometry, providing a thorough understanding of the consistency of non-Euclidean geometries. Extensive exercises, including original problems, are integrated throughout the text to ensure that students engage deeply with the material.

Additionally, the book offers valuable appendices that provide background information on Euclidean geometry, circular and hyperbolic functions, orthogonal circles, inversion theory, and other foundational concepts, making this book a comprehensive guide for those new to the subject.

With 254 pages of detailed content and beautifully illustrated diagrams, this book is an excellent introduction to non-Euclidean geometry. Its manageable size (8.5 x 5.4 x 0.6 inches) makes it practical for both academic study and individual exploration of this fascinating mathematical field.