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Which book/books are a good intro into manifolds? Maybe a book that is both oriented towards a physicist but also includes rigor.

How is this book An Introduction to Manifolds by Loring W. Tu

In the preface it says one year of real analysis and a semester of abstract algebra would suffice as a prerequisite. Would it be to ambitious to attempt to learn manifolds without such a background. If not which books should I study/read before tackling this book?

Thanks

How is this book An Introduction to Manifolds by Loring W. Tu

In the preface it says one year of real analysis and a semester of abstract algebra would suffice as a prerequisite. Would it be to ambitious to attempt to learn manifolds without such a background. If not which books should I study/read before tackling this book?

Thanks

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