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Focusing on the theory of smooth manifolds, this book serves as a comprehensive introduction for graduate students and researchers in mathematics. It covers essential topics such as differential manifolds, tangent spaces, and key theorems like Sard's and Whitney's. The clear structure, numerous illustrations, and solved examples enhance understanding, while complex theorems are broken down into manageable lemmas. Concepts are revisited throughout to reinforce learning, making it accessible even to undergraduates. The emphasis on mathematical proofs highlights the joy of discovery in mathematics.
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Smooth Manifolds, Rajnikant Sinha
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- 2014
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