Abstract
The theory of smooth mappings of several real variables will help us to develop a similar theory for smooth (holomorphic) mappings of several complex variables. As in the real case, the main features are the inverse function theorem and the implicit function theorem.
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References
Kaup, L., Kaup, B.: Holomorphic Functions of Several Variables. An Introduction to the Fundamental Theory. With the assistance of G. Barthel. Translated from the German by Michael Bridgland. de Gruyter Studies in Mathematics, vol. 3, Walter de Gruyter & Co., Berlin (1983)
Rudin, W.: Principles of Mathematical Analysis. 3rd edn. International Series in Pure and Applied Mathematics. McGraw-Hill Book Co., New York-Auckland-Düsseldorf (1976)
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Gauthier, P.M. (2014). Holomorphic Mappings. In: Lectures on Several Complex Variables. Springer, Cham. https://doi.org/10.1007/978-3-319-11511-5_7
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DOI: https://doi.org/10.1007/978-3-319-11511-5_7
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Online ISBN: 978-3-319-11511-5
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