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A Visual Introduction to Differential Forms and Calculus on Manifolds

出版刊物 2025-01-17 1151 0


作者简介

Jon Pierre Fortney, Zayed University, Dubai, United Arab Emirates.

A Visual Introduction to Differential Forms and Calculus on Manifolds

内容简介

This book explains and helps reader s to develop geometric intuition as it relates to differential forms. It includes over 250 figures to aid understanding and enable readers to visualize the concepts being discussed. The author gradually builds up to the basic ideas and concepts so that definitions, when made, do not appear out of nowhere, and both the importance and role that theorems play is evident as or before they are presented. With a clear writing style and easy -to- understand motivations for each topic, this book is primarily aimed at second- or third-year undergraduate math and physics students with a basic knowl edge of vector calc ulus and linear algebra.

Jon Pierre Fortney, Zayed University, Dubai, United Arab Emirates.

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