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.
Reihe
Auflage
Sprache
Verlagsort
Zielgruppe
Illustrationen
1 s/w Abbildung
1 black & white illustrations, biography
Maße
Höhe: 235 mm
Breite: 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 Klassifikation
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.
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.
