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Michele Sce's works in hypercomplex ...

Colombo, Fabrizio.

Michele Sce's works in hypercomplex analysisa translation with commentaries /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Michele Sce's works in hypercomplex analysisby Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa.
Reminder of title:	a translation with commentaries /
Author:	Colombo, Fabrizio.
other author:	Sabadini, Irene.
Published:	Cham :Springer International Publishing :2020.
Description:	vi, 122 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Functions of complex variables.
Online resource:	https://doi.org/10.1007/978-3-030-50216-4
ISBN:	9783030502164$q(electronic bk.)

Michele Sce's works in hypercomplex analysisa translation with commentaries /
Colombo, Fabrizio.

Michele Sce's works in hypercomplex analysisa translation with commentaries /[electronic resource] :by Fabrizio Colombo, Irene Sabadini, Daniele C. Struppa. - Cham :Springer International Publishing :2020. - vi, 122 p. :ill., digital ;24 cm.

1 Introduction -- 2 Monogenicity and total derivability in real and complex algebras -- 3 On systems of partial differential equations related to real algebras -- 4 On the variety of zero divisors in algebras -- 5 Remarks on the power series in quadratic modules -- 6 Regular functions in the Cayley algebra -- Index.

This book presents English translations of Michele Sce's most important works, originally written in Italian during the period 1955-1973, on hypercomplex analysis and algebras of hypercomplex numbers. Despite their importance, these works are not very well known in the mathematics community because of the language they were published in. Possibly the most remarkable instance is the so-called Fueter-Sce mapping theorem, which is a cornerstone of modern hypercomplex analysis, and is not yet understood in its full generality. This volume is dedicated to revealing and describing the framework Sce worked in, at an exciting time when the various generalizations of complex analysis in one variable were still in their infancy. In addition to faithfully translating Sce's papers, the authors discuss their significance and explain their connections to contemporary research in hypercomplex analysis. They also discuss many concrete examples that can serve as a basis for further research. The vast majority of the results presented here will be new to readers, allowing them to finally access the original sources with the benefit of comments from fellow mathematicians active in the field of hypercomplex analysis. As such, the book offers not only an important chapter in the history of hypercomplex analysis, but also a roadmap for further exciting research in the field.

ISBN: 9783030502164$q(electronic bk.)

Standard No.: 10.1007/978-3-030-50216-4doiSubjects--Topical Terms:

185972
Functions of complex variables.

LC Class. No.: QA331.7 / .C65 2020

Dewey Class. No.: 515.9

Michele Sce's works in hypercomplex analysisa translation with commentaries /
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505 0 $a 1 Introduction -- 2 Monogenicity and total derivability in real and complex algebras -- 3 On systems of partial differential equations related to real algebras -- 4 On the variety of zero divisors in algebras -- 5 Remarks on the power series in quadratic modules -- 6 Regular functions in the Cayley algebra -- Index.
520 $a This book presents English translations of Michele Sce's most important works, originally written in Italian during the period 1955-1973, on hypercomplex analysis and algebras of hypercomplex numbers. Despite their importance, these works are not very well known in the mathematics community because of the language they were published in. Possibly the most remarkable instance is the so-called Fueter-Sce mapping theorem, which is a cornerstone of modern hypercomplex analysis, and is not yet understood in its full generality. This volume is dedicated to revealing and describing the framework Sce worked in, at an exciting time when the various generalizations of complex analysis in one variable were still in their infancy. In addition to faithfully translating Sce's papers, the authors discuss their significance and explain their connections to contemporary research in hypercomplex analysis. They also discuss many concrete examples that can serve as a basis for further research. The vast majority of the results presented here will be new to readers, allowing them to finally access the original sources with the benefit of comments from fellow mathematicians active in the field of hypercomplex analysis. As such, the book offers not only an important chapter in the history of hypercomplex analysis, but also a roadmap for further exciting research in the field.
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