TY  - BOOK
AU  - Tubbs,Robert
ED  - SpringerLink (Online service)
TI  - Hilbert's Seventh Problem: Solutions and Extensions 
T2  - IMSc Lecture Notes in Mathematics,
SN  - 9789811026454
AV  - QA21-27 
U1  - 510.9 23
PY  - 2016///
CY  - Singapore
PB  - Springer Singapore, Imprint: Springer
KW  - Functional analysis
KW  - Integral equations
KW  - Number theory
KW  - History of Mathematical Sciences
KW  - Functional Analysis
KW  - Integral Equations
KW  - Number Theory
N1  - 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
N2  - 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.
UR  - https://doi.org/10.1007/978-981-10-2645-4
ER  -