The First Adventures on Differential Geometry
by 作者: Hwee Kuan Lee (Author)
Publisher Finelybook 出版社: World Scientific Publishing Company
Publication Date 出版日期: 2024-09-07
Language 语言: English
Pages 页数: 224 pages
ISBN-10 书号: 9811296170
ISBN-13 书号: 9789811296178
Book Description
This book serves as a friendly stepping stone for readers who wish to start learning differential geometry. It lays down the most essential foundations, ensuring that readers feel prepared to tackle more advanced concepts in the future. Differential geometry is often perceived or presented as a myriad of seemingly disjointed ideas to beginners. This book bridges those gaps by following the story of a character named Beng, along with his friends, as they journey to master differential geometry. Starting with the basics in Euclidean space, the book offers an accessible entry point into understanding geometry. It then progresses to curved surfaces and intrinsic geometry, culminating in a quintessential application of Ricci curvature. Readers will explore the Einstein equation and work through the Schwarzschild solution, ultimately calculating the event horizon for a non-rotating black hole.
The exercises throughout the book are crafted to develop a deep understanding of the subject, with detailed solutions provided to guide readers through each step. Based on a series of lecture notes from a course designed for a broad audience, this book has been classroom-tested, proving its effectiveness as an introductory and illuminating textbook.
