First Adventures On Differential Geometry: A Friendly Guide For Beginners
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A01=Hwee Kuan Lee
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Author_Hwee Kuan Lee
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Category1=Non-Fiction
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Category=PBP
COP=Singapore
Covariant Derivatives
Curves and Surfaces
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Differential Geometry
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Language_English
Lie Derivatives
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Price_€50 to €100
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Riemannian Geometry
softlaunch
Product details
- ISBN 9789811296178
- Publication Date: 20 Sep 2024
- Publisher: World Scientific Publishing Co Pte Ltd
- Publication City/Country: SG
- Product Form: Hardback
- Language: English
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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.
