00943nam a2200289 i 450099100100297970753620020507105009.0970307s1983 uk ||| | eng 0198539045b10159940-39ule_instLE00640492ExLDip.to Fisicaita53(091)53.5539.7'09QC733Keller, Alex462370The infancy of atomic physics :Hercules in his cradle /Alex KellerOxford :Clarendon Press,1983230 p. ;24 cm.Nuclear physics-History.b1015994021-09-0627-06-02991001002979707536LE006 53(091) KEL12006000012171le006-E0.00-l- 00000.i1019409527-06-02Infancy of atomic physics188529UNISALENTOle00601-01-97ma -enguk 4103215nam 22005055 450 99641827080331620231016163447.0981-15-4155-810.1007/978-981-15-4155-1(CKB)4100000011242017(DE-He213)978-981-15-4155-1(MiAaPQ)EBC6190194(PPN)248393561(EXLCZ)99410000001124201720200502d2020 u| 0engurnn#008mamaatxtrdacontentcrdamediacrrdacarrierPillars of Transcendental Number Theory[electronic resource] /by Saradha Natarajan, Ravindranathan Thangadurai1st ed. 2020.Singapore :Springer Singapore :Imprint: Springer,2020.1 online resource (XVII, 174 p. 27 illus., 2 illus. in color.)981-15-4154-X 1. Preliminaries -- 2. e and pi are Transcendental -- 3. Theorem of Hermite-Lindemann-Weierstrass -- 4. Theorem of Gelfond and Schneider -- 5. Extensions due to Ramachandra -- 6. Diophantine Approximation and Transcendence -- 7. Roth's Theorem -- 8. Baker's Theorems and some Applications -- 9. Ground Work for the Proof of Baker's theorem -- 10. Proof of Baker's Theorem -- 11. Subspace Theorem and Some Applications.This book deals with the development of Diophantine problems starting with Thue's path breaking result and culminating in Roth's theorem with applications. It discusses classical results including Hermite–Lindemann–Weierstrass theorem, Gelfond–Schneider theorem, Schmidt’s subspace theorem and more. It also includes two theorems of Ramachandra which are not widely known and other interesting results derived on the values of Weierstrass elliptic function. Given the constantly growing number of applications of linear forms in logarithms, it is becoming increasingly important for any student wanting to work in this area to know the proofs of Baker’s original results. This book presents Baker’s original results in a format suitable for graduate students, with a focus on presenting the content in an accessible and simple manner. Each student-friendly chapter concludes with selected problems in the form of “Exercises” and interesting information presented as “Notes,” intended to spark readers’ curiosity.Number theoryFunctions of real variablesNumber Theoryhttps://scigraph.springernature.com/ontologies/product-market-codes/M25001Real Functionshttps://scigraph.springernature.com/ontologies/product-market-codes/M12171Number theory.Functions of real variables.Number Theory.Real Functions.512.7Natarajan Saradhaauthttp://id.loc.gov/vocabulary/relators/aut1017961Thangadurai Ravindranathanauthttp://id.loc.gov/vocabulary/relators/autMiAaPQMiAaPQMiAaPQBOOK996418270803316Pillars of Transcendental Number Theory2391158UNISA