Charles W. Misner, Kip S. Don't underestimate this classic! Chapter 4 has a nice introduction to differential forms, including great pictures and a discussion of electromagnetism.
Part III also discusses the differential geometry needed for relativity. Views Article Discussion Show pagesource Old revisions. Navigation About this wiki. Table of Contents.
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- Mathematics Manifolds and Differential Forms;
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Tensors, Differential Forms, and Variational Principles
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It's safe to say few undergraduates or postgraduates, for that matter have ever worked their way through all of it, but it reads very well and you may enjoy browsing through it. Written as a companion to multivariable calculus texts, this contains careful and intuitive explanations of several of the ideas covered in this course.
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Also has a number of straightforward exercises. Cornell University Department of Mathematics. Search Cornell.