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<p>This textbook is designed for a one-semester introductory course in Differential Geometry. It covers the fundamentals of differentiable manifolds, explores Lie groups and homogeneous spaces, and concludes with rigorous proofs of Stokes’ Theorem and the de Rham Theorem. The material closely follows the author's lectures at ETH Zürich.</p>

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Lectures on Differential Geometry I

  • 教材

  • 发表日期：

    2026年

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  • Will J. Merry

摘要

This textbook is designed for a one-semester introductory course in Differential Geometry. It covers the fundamentals of differentiable manifolds, explores Lie groups and homogeneous spaces, and concludes with rigorous proofs of Stokes’ Theorem and the de Rham Theorem. The material closely follows the author's lectures at ETH Zürich.