Contents: 1 Hilbert's seventh problem: Its statement and origins 2 The transcendence of e, π and e√2. 3 Three partial solutions. 4 Gelfond's solution. 5 Schneider's solution. 6 Hilbert's seventh problem and transcendental functions.7 Variants and generalizations. References. Bibliography. Index. 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. (jacket).

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Title: Hilbert's Seventh Problem: Solutions and Extensions
Publisher: Hindustan Book Agency
Publication Date: 2016
Language: English
ISBN 10: 9380250827
ISBN 13: 9789380250823
Binding: Hardcover
Edition: 1st Edition
Condition: New

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