Hilbert's Seventh Problem
Solutions and Extensions
Published on 13. December 2016
Book
Hardback
94 pages
978-981-10-2644-7 (ISBN)
Description
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.
More details
Series
Edition
1st ed. 2016
Language
English
Place of publication
Singapore
Singapore
Target group
Professional and scholarly
Illustrations
1 s/w Abbildung
1 black & white illustrations, biography
Dimensions
Height: 235 mm
Width: 155 mm
ISBN-13
978-981-10-2644-7 (9789811026447)
DOI
10.1007/978-981-10-2645-4
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
E-Book
11/2016
Springer
€47.07
Available for download
Person
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.
Content
Chapter 1. Hilbert's seventh problem: Its statement and origins.- Chapter 2. The transcendence of e; and ep.- Chapter 3. Three partial solutions.- Chapter 4. Gelfond's solution.- Chapter 5. Schneider's solution.- Chapter 6. Hilbert's seventh problem and transcendental functions.- Chapter 7. Variants and generalizations.