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Hilbert's seventh problem[electronic...

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Hilbert's seventh problem[electronic resource] :solutions and extensions /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	519.24
書名/作者:	Hilbert's seventh problem : solutions and extensions // by Robert Tubbs.
作者:	Tubbs, Robert.
出版者:	Singapore : : Springer Singapore :, 2016.
面頁冊數:	ix, 85 p. : : ill., digital ;; 24 cm.
Contained By:	Springer eBooks
標題:	Characteristic functions.
標題:	Mathematics.
標題:	History of Mathematical Sciences.
標題:	Functional Analysis.
標題:	Integral Equations.
標題:	Number Theory.
ISBN:	9789811026454
ISBN:	9789811026447
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-981-10-2645-4

Hilbert's seventh problem[electronic resource] :solutions and extensions /
Tubbs, Robert.

Hilbert's seventh problemsolutions and extensions /[electronic resource] :by Robert Tubbs. - Singapore :Springer Singapore :2016. - ix, 85 p. :ill., digital ;24 cm. - HBA lecture notes in mathematics,2509-8063. - HBA lecture notes in mathematics..

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.

ISBN: 9789811026454

Standard No.: 10.1007/978-981-10-2645-4doiSubjects--Topical Terms:

687701
Characteristic functions.

LC Class. No.: QA273.6

Dewey Class. No.: 519.24

Hilbert's seventh problem[electronic resource] :solutions and extensions /
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520 $a 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.
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