Hilbert's Seventh Problem Solutions and Extensions /

• Main Author: Tubbs, Robert (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Singapore : Springer Singapore : Imprint: Springer, 2016.
• Series: HBA Lecture Notes in Mathematics,
• Subjects: Mathematics.; Functional analysis.; Integral equations.; History.; Number theory.; History of Mathematical Sciences.; Functional Analysis.; Integral Equations.; Number Theory.

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...

Table of Contents:

• 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.