MATH 412: Real Analysis II


  • MATH 412. Real Analysis II

    Contents:

    Differentiable Mappings, Taylor's Formula, Local Invertibility, Implicit Function Theorem, Morse's Lemma, Differentiable Manifolds, Lagrange Multipliers, Integration Theory, Fubini's Theorem, Change of Variables Formula, Elements of Fourier Analysis.

    Particulars: Primary emphasis will be placed on conceptual developments and proofs.

    Prerequisite: Math 411 (Real Analysis I).

    Textbook:

    J. E. Marsden and M. J. Hoffmann, Elementary Classical Analysis (Second Edition), W. H. Freeman, San Francisco, 1993.


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    Last updated December 7, 2017.