Michele Sce's Works in Hypercomplex Analysis: A Translation with Commentaries - Softcover

Colombo, Fabrizio; Sabadini, Irene; Struppa, Daniele C.

Softcover

ISBN 10: 303050218X ISBN 13: 9783030502188

Verlag: Birkhäuser, 2021

Inhaltsangabe

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.

Über diesen Titel

Über die Autorin bzw. den Autor

Daniel Alpay, Foster G. and Mary McGaw Professorship in Mathematical Sciences, Chapman University Fabrizio Colombo is professor at the Politecnico di Milano, Italy. Irene Sabadini is professor at the Politecnico di Milano, Italy.

Von der hinteren Coverseite

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.

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2021
• Sprache: Englisch
• ISBN 10: 303050218X
• ISBN 13: 9783030502188
• Einband: Taschenbuch
• Auflage: 1
• Anzahl der Seiten: 128
• Kontakt zum Hersteller: Springer Nature Customer Service Center GmbH; ProductSafety@springernature.com; ; Europaplatz 3; Heidelberg; 69115; Deutschland