Paris, Trinity College Cambridge and a PhD from Courant Institute at NYU. Professional appointments include Merrill Lynch, New York, a Readership at Cambridge University, Visiting Professorships at ETH Zurich,
Math-UA.326.001: Analysis II Notes for the Inverse Function TheoremTim Austin803 Warren Weaver Hall tim@cims.nyu.edu http://cims.nyu.edu/˜tim1 The Contraction Mapping PrincipleSuppose that E ⊆ Rn is closed and that f : E −→ E is a function. Definition 1 (Fixed point). A ...
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