Overview
- Discusses about the famous Hilbert’s Seventh Problem and its solutions presented at the International Congress of Mathematicians in Paris, 1900
- Presents three partial solutions to Hilbert’s Seventh Problem that were given some 30 years later
- Inspires young researchers to mathematical research
Part of the book series: HBA Lecture Notes in Mathematics (HBALNM)
Part of the book sub series: IMSc Lecture Notes in Mathematics (IMSLNM)
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Table of contents (7 chapters)
Keywords
About this book
This exposition is primarily a survey of the elementary yet subtle innovations of several mathematicians between 1929 and 1934 that led to partial and then complete solutions to Hilbert’s Seventh Problem (from the International Congress of Mathematicians in Paris, 1900). This volume is suitable for both mathematics students, wishing to experience how different mathematical ideas can come together to establish results, and for research mathematicians interested in the fascinating progression of mathematical ideas that solved Hilbert’s problem and established a modern theory of transcendental numbers.
Authors and Affiliations
About the author
Robert Tubbs is associate professor of mathematics at the University of Colorado Boulder, United States. His research interest lies in number theory, especially transcendental number theory, the intellectual history of mathematical ideas and mathematics and the humanities.
Bibliographic Information
Book Title: Hilbert's Seventh Problem
Book Subtitle: Solutions and Extensions
Authors: Robert Tubbs
Series Title: HBA Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-981-10-2645-4
Publisher: Springer Singapore
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer Science+Business Media Singapore 2016 and Hindustan Book Agency 2016 2016
eBook ISBN: 978-981-10-2645-4Published: 23 November 2016
Series ISSN: 2509-8063
Series E-ISSN: 2509-8071
Edition Number: 1
Number of Pages: IX, 85
Number of Illustrations: 1 b/w illustrations
Topics: History of Mathematical Sciences, Functional Analysis, Integral Equations, Number Theory