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Hilbert's Seventh Problem [electronic resource] : Solutions and Extensions / by Robert Tubbs.

By: Contributor(s): Material type: TextTextSeries: IMSc Lecture Notes in MathematicsPublisher: Singapore : Springer Singapore : Imprint: Springer, 2016Description: IX, 85 p. 1 illus. online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9789811026454
Subject(s): Additional physical formats: Printed edition:: No title; Printed edition:: No titleDDC classification:
  • 510.9 23
LOC classification:
  • QA21-27
Online resources:
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.
In: Springer eBooksSummary: 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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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. .

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