Michele Sce's Works in Hypercomplex Analysis

A Translation with Commentaries

Authors: Colombo, Fabrizio, Sabadini, Irene, Struppa, Daniele C.

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  • Provides a unique account of Sce’s work in the context of the modern development of the theory of hypercomplex variables
  • Presents English translations of Sce’s papers that are otherwise hard to find
  • Includes old, very deep results that are not known to a wide readership
  • Written in a style that will appeal to a wide audience
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eBook $84.99
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  • ISBN 978-3-030-50216-4
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Hardcover $109.99
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About this book

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.


Table of contents (6 chapters)

Table of contents (6 chapters)

Buy this book

eBook $84.99
price for Mexico
  • ISBN 978-3-030-50216-4
  • Digitally watermarked, DRM-free
  • Included format: PDF, EPUB
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase Institutional customers should get in touch with their account manager
Hardcover $109.99
price for Mexico
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Bibliographic Information

Bibliographic Information
Book Title
Michele Sce's Works in Hypercomplex Analysis
Book Subtitle
A Translation with Commentaries
Authors
Copyright
2020
Publisher
Birkhäuser Basel
Copyright Holder
The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG
eBook ISBN
978-3-030-50216-4
DOI
10.1007/978-3-030-50216-4
Hardcover ISBN
978-3-030-50215-7
Edition Number
1
Number of Pages
VI, 122
Number of Illustrations
2 b/w illustrations, 1 illustrations in colour
Topics