Prereq Recommendations for Munkres' "Analysis on Manifolds

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To prepare for Munkres' "Analysis on Manifolds," a solid foundation in Analysis, Algebra, and some understanding of Topology is recommended. Strong knowledge of Euclidean Geometry and Calculus is also beneficial. Familiarity with most of Rudin's "Principles of Mathematical Analysis," particularly the first chapters, is considered sufficient preparation, as Munkres' work builds on concepts from Analysis II. The discussion also clarifies that the referenced Rudin book is "Little Rudin," which is regarded as a classic in the field.
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Hey everyone.

I want to work through Munkres' "Analysis on Manifolds"

What maths would you recommend before I take on this book?

Will I be ok with a good foundation in Analysis and algebra, some understanding of topology, and strong Euclidean Geometry and Calc?
 
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Diffy said:
Hey everyone.

I want to work through Munkres' "Analysis on Manifolds"

What maths would you recommend before I take on this book?

Will I be ok with a good foundation in Analysis and algebra, some understanding of topology, and strong Euclidean Geometry and Calc?

If you know most of the material in Rudin's "Principles in Mathematica Analysis" (except the last chapter) the you should be ready. "Analysis on Manifolds" is basically Analysis II and "Principles of Mathematical Analysis" is Analysis I.
 
ehrenfest said:
If you know most of the material in Rudin's "Principles in Mathematica Analysis" (except the last chapter) the you should be ready. "Analysis on Manifolds" is basically Analysis II and "Principles of Mathematical Analysis" is Analysis I.

I don't have that book, but I should since it is considered a classic. Is that Big Rudin or Little Rudin?
 
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