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＜電子ブック＞
Hilbert's Seventh Problem : Solutions and Extensions / by Robert Tubbs
(IMSc Lecture Notes in Mathematics. ISSN:25098098)

版	1st ed. 2016.
出版者	(Singapore : Springer Nature Singapore : Imprint: Springer)
出版年	2016
大きさ	IX, 85 p. 1 illus : online resource
著者標目	*Tubbs, Robert author SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:History LCSH:Functional analysis LCSH:Integral equations LCSH:Number theory FREE:History of Mathematical Sciences FREE:Functional Analysis FREE:Integral Equations FREE:Number Theory
一般注記	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 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. HTTP:URL=https://doi.org/10.1007/978-981-10-2645-4

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