Die Veröffentlichungen der Österreichischen Akademie der Wissenschaften Mathematisch-naturwissenschaftliche Klasse

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  John and Betty’s Journey Into Complex Numbers

  Matt Bower

  Set in the genre of a children’s book, John and Betty trace the evolutionof complex numbers and explore their operations. From integers, tofractions, to surds, complex numbers are made to seem like an obviousextension. Incorporating graphing on the complex number plane andculminating in De Moivre’s Theorem, the logic of complex numbers ismade to seem intuitive and simple. John ...

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  Special Functions

  Historically, the notion of entropy emerged in conceptually very distinct contexts. This book deals with the connection between entropy, probability, and fractional dynamics as they appeared, for example, in solar neutrino astrophysics since the 1970's (Mathai and Rathie 1975, Mathai and Pederzoli 1977, Mathai and Saxena 1978, Mathai, Saxena, and Haubold 2010).The original ...

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  VALUE DISTRIBUTION IN P-ADIC ANALYSIS

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   The book first explains the main properties of analytic functions in order to use them in the study of various problems in p-adic value distribution. Certain properties of p-adic transcendental numbers are examined such as order and type of transcendence, with problems on p-adic exponentials. Lazard's problem for analytic functions inside a disk is explained. P-adic meromo...
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