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200 10$aHilbert's Seventh Problem $eSolutions and Extensions /$fby Robert Tubbs
205   $a1st ed. 2016.
210  1$aSingapore :$cSpringer Nature Singapore :$cImprint: Springer,$d2016.
215   $a1 online resource (IX, 85 p. 1 illus.) 
225 1 $aIMSc Lecture Notes in Mathematics,$x2509-8098
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320   $aIncludes bibliographical references and index.
327   $aChapter 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.
330   $aThis 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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606   $aMathematics
606   $aHistory
606   $aFunctional analysis
606   $aIntegral equations
606   $aNumber theory
606   $aHistory of Mathematical Sciences
606   $aFunctional Analysis
606   $aIntegral Equations
606   $aNumber Theory
615  0$aMathematics.
615  0$aHistory.
615  0$aFunctional analysis.
615  0$aIntegral equations.
615  0$aNumber theory.
615 14$aHistory of Mathematical Sciences.
615 24$aFunctional Analysis.
615 24$aIntegral Equations.
615 24$aNumber Theory.
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