Smooth Manifolds

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Focusing on the theory of smooth manifolds, this book serves as a comprehensive introduction to essential concepts in differential geometry. It covers differential manifolds, tangent spaces, and key theorems like Sard's and Whitney's, all presented with clarity and numerous illustrations. The text is structured to enhance readability, breaking down complex theorems into manageable lemmas and revisiting concepts to reinforce understanding. Aimed primarily at graduate students, it remains accessible to undergraduates, emphasizing the joy of mathematical proofs throughout.