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010   $a981-10-2645-9
024 7 $a10.1007/978-981-10-2645-4
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035   $a(DE-He213)978-981-10-2645-4
035   $a(MiAaPQ)EBC4747044
035   $a(PPN)197135293
035   $a(MiAaPQ)EBC6237986
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100   $a20161122d2016      u|         0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt$2rdacontent
182   $cc$2rdamedia
183   $acr$2rdacarrier
200 10$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
311 08$a981-10-2644-0 
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   $aThis exposition is primarily a survey of the elementary yet subtle innovations of several mathematicians between 1929 and 1934 that led to partial and then complete solutions to Hilbert?s Seventh Problem (from the International Congress of Mathematicians in Paris, 1900). This volume is suitable for both mathematics students, wishing to experience how different mathematical ideas can come together to establish results, and for research mathematicians interested in the fascinating progression of mathematical ideas that solved Hilbert?s problem and established a modern theory of transcendental numbers. .
410  0$aIMSc Lecture Notes in Mathematics,$x2509-8098
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.
676   $a510.9
700   $aTubbs$b Robert$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755936
906   $aBOOK
912   $a9910153655203321
996   $aHilbert's seventh problem$91523385
997   $aUNINA