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Inverse function theorem
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==References== * {{cite book |first=Carl B. |last=Allendoerfer |author-link=Carl B. Allendoerfer |title=Calculus of Several Variables and Differentiable Manifolds |location=New York |publisher=Macmillan |year=1974 |chapter=Theorems about Differentiable Functions |pages=54β88 |isbn=0-02-301840-2 }} * {{cite book |first1=Peter |last1=Baxandall |author-link=Peter Baxandall |first2=Hans |last2=Liebeck |title=Vector Calculus |location=New York |publisher=Oxford University Press |year=1986 |chapter=The Inverse Function Theorem |isbn=0-19-859652-9 |pages=214β225 }} * {{cite journal |last = Nijenhuis |first = Albert |author-link= Albert Nijenhuis |title = Strong derivatives and inverse mappings |journal = [[The American Mathematical Monthly|Amer. Math. Monthly]] |volume = 81 |year = 1974 |pages = 969–980 |doi = 10.2307/2319298 |issue = 9 |jstor = 2319298 |hdl = 10338.dmlcz/102482 |hdl-access = free }} *{{citation | last1 = Griffiths | first1 = Phillip | last2 = Harris | first2 = Joseph | isbn = 978-0-471-05059-9 | publisher = John Wiley & Sons | title = Principles of Algebraic Geometry | year = 1978}}. * {{cite book |last1=Hirsch |first1=Morris W. |title=Differential Topology |date=1976 |publisher=Springer-Verlag |isbn=978-0-387-90148-0 |url=https://www.researchgate.net/publication/268035774 |language=en}} * {{cite book |first1=Murray H. |last1=Protter |author-link=Murray H. Protter |first2=Charles B. Jr. |last2=Morrey |author-link2=Charles B. Morrey Jr. |title=Intermediate Calculus |location=New York |publisher=Springer |edition=Second |year=1985 |isbn=0-387-96058-9 |chapter=Transformations and Jacobians |pages=412β420 }} * {{cite book |last1=Renardy |first1=Michael |last2=Rogers |first2=Robert C. |title = An Introduction to Partial Differential Equations | series = Texts in Applied Mathematics 13 | edition = Second |publisher = Springer-Verlag | location = New York |year = 2004 |pages = 337–338 |isbn = 0-387-00444-0 }} * {{cite book |last = Rudin|first = Walter|author-link= Walter Rudin|title = Principles of mathematical analysis|url = https://archive.org/details/principlesofmath00rudi|url-access = registration|edition = Third |series = International Series in Pure and Applied Mathematics |publisher = McGraw-Hill Book | location = New York |year = 1976 |pages = [https://archive.org/details/principlesofmath00rudi/page/221 221]–223 | isbn=978-0-07-085613-4 }} * {{cite book |title=Calculus on Manifolds: A Modern Approach to Classical Theorems of Advanced Calculus |last1=Spivak|first1=Michael|title-link=Calculus on Manifolds (book)|publisher= Benjamin Cummings |year=1965 |isbn=0-8053-9021-9 |location=San Francisco |author1-link=Michael Spivak }} {{Functional analysis}} {{Analysis in topological vector spaces}} [[Category:Multivariable calculus]] [[Category:Differential topology]] [[Category:Inverse functions]] [[Category:Theorems in real analysis]] [[Category:Theorems in calculus]] [[de:Satz von der impliziten Funktion#Satz von der Umkehrabbildung]]
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