IMSc Lecture Notes in Mathematics

Hilbert's Seventh Problem

Solutions and Extensions

Authors: Tubbs, Robert

  • 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
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eBook 52,35 €
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  • ISBN 978-981-10-2645-4
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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.

 

About the authors

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.

Table of contents (7 chapters)

  • Hilbert’s seventh problem: Its statement and origins

    Tubbs, Robert

    Pages 1-12

    Preview Buy Chapter 30,19 €
  • The transcendence of e, π and $$ e^{\sqrt 2 } $$

    Tubbs, Robert

    Pages 13-20

    Preview Buy Chapter 30,19 €
  • Three partial solutions

    Tubbs, Robert

    Pages 21-31

    Preview Buy Chapter 30,19 €
  • Gelfond’s solution

    Tubbs, Robert

    Pages 33-44

    Preview Buy Chapter 30,19 €
  • Schneider’s solution

    Tubbs, Robert

    Pages 45-59

    Preview Buy Chapter 30,19 €

Buy this book

eBook 52,35 €
price for Spain (gross)
  • ISBN 978-981-10-2645-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
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Bibliographic Information

Bibliographic Information
Book Title
Hilbert's Seventh Problem
Book Subtitle
Solutions and Extensions
Authors
Series Title
IMSc Lecture Notes in Mathematics
Copyright
2016
Publisher
Springer Singapore
Copyright Holder
Springer Science+Business Media Singapore 2016 and Hindustan Book Agency 2016
eBook ISBN
978-981-10-2645-4
DOI
10.1007/978-981-10-2645-4
Series ISSN
2509-808X
Edition Number
1
Number of Pages
IX, 85
Number of Illustrations and Tables
1 b/w illustrations
Topics