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An Introduction to Complex Analysis in Several Variables by Lars Hörmander is a nonfiction available to read on EtoBox.

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It has been known for many years that there is a close link between nonarchimedean systems and the orders of infinity and of smallness that are associated with the asymptotic behaviour of a function. The present text provides a background for this connection from the point of view of nonstandard analysis. We have kept the argument at an elementary level and hope that the reader will find the book suitable as an introduction to nonstandard analysis as well as the theory of asymptotic expansions. The plan of the book is as follows. In the first chapter we introduce the notions of a nonarchimedean group and a nonarchimedean field and give several interesting examples of nonarchimedean fields. Chapter 2 contains an introduction to nonstandard analysis. The necessary resources from mathematical logic are brought in as we go along. In the following two chapters we link up the nonstandard models of analysis, themselves nonarchimedean fields, with a particular nonarchimedean field, here called£, which was first studied by Levi-Civita and Ostrowski and, more recently, by Laugwitz. Unlike the nonstandard models of analysis,£ is canonical (i.e. unique), but unlike the former it cannot be stud

Who reads An Introduction to Complex Analysis in Several Variables?

Author

Lars Hörmander

Publisher

Elsevier Science Ltd

Published

1973

Language

EN

ISBN

9780444110299

Category

nonfiction

Subjects

Mathematics, Sociology, Economics