Prereq Recommendations for Munkres' "Analysis on Manifolds

[Diffy]

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?

 

[ehrenfest]

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.

 

[Diffy]

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?

 

[ehrenfest]

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

Its Little Rudin. You can view the table of contents at amazon

https://www.amazon.com/dp/007054235X/?tag=pfamazon01-20