Titlebook: Explorations in Number Theory; Commuting through th Cam McLeman,Erin McNicholas,Colin Starr Textbook 2022 Springer Nature Switzerland AG 20

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Undergraduate Texts in Mathematicshttp://image.papertrans.cn/f/image/320209.jpg

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https://doi.org/10.1007/978-3-663-08204-0fter the mountain range in which it was found). Perhaps they were tallying kills, marking time as a primitive calendar, or merely expressing an early interest in number theory as a hobby. Regardless of the intent, other bone artifacts from the Paleolithic era show a clear progression of this system,

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Markenst?rke von Arbeitgebermarkend to resolve one of the most infamously difficult problems in all of mathematics. The history of this result, commonly referred to as . after the seventeenth-century French mathematician Pierre de Fermat,?has all the hallmarks of an epic tale: an arduous quest spanning centuries and continents taken

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https://doi.org/10.1007/978-3-8350-9232-7t a closely related problem in a different number system. A flipped, and equally valuable, version of this perspective is that we understand arithmetic in . well enough that we should attempt to export this mastery to other systems.

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Markentransfers im Dienstleistungsbereichem of Arithmetic and surrounding notions generalize to more exotic number systems? What role does modular arithmetic have to play? The ring ., recurring in every chapter thus far, turns out to be the eye of this storm, providing us shelter to collect our thoughts on all of these fronts before we ven

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https://doi.org/10.1007/978-3-658-38232-2Consciously or not, many of us had our nascent interest in number theory ignited at an early stage not by Fermat’s Last Theorem or the Fundamental Theorem of Arithmetic, but by patterns in multiplication tables, divisibility tests, and even odd observations.

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Zusammenfassung, Ausblick und FazitOne of the biggest remaining generalizations in moving from the Gaussian integers to arbitrary quadratic fields is the series of results that concluded Chapter 5, and in particular Section 5.6, in which we classified the Gaussian primes and how rational primes . behave in ..