Take the 2-minute tour ×
Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It's 100% free, no registration required.

My course outline:

Differentiation of functions of several variables: partial derivatives, differential, differentiability, inverse function theorem, implicit function theorem, free extremum problems, constrained extremum problem, method of Lagrange multipliers

Integration in $R^n$:measure zero and content zero sets, integrability, Fubini's Theorem, partition of unity, change of variables

Integration on chains: tensors, alternating tensors, vector fields, differential forms, Poincare Lemma, Stokes' Theorem

share|improve this question
1  
The classical source for most of these topics is Rudin : Principles of Mathematical Analysis. –  Euler....IS_ALIVE Jan 20 '13 at 8:42
    
(reference-request) should not be used as a standalone tag; see tag-wiki and meta. –  Martin Sleziak Aug 2 '13 at 6:29

1 Answer 1

The book by Moskowitz and Paliogiannis: Functions of Several Real Variables, discusses almost all the above topics in detail, and I strongly recommend it. It is rigorous with many good Examples and Problems with Hints and full Solutions.

share|improve this answer

Your Answer

 
discard

By posting your answer, you agree to the privacy policy and terms of service.

Not the answer you're looking for? Browse other questions tagged or ask your own question.