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Complex Numbers
Complex numbers are a typical topic of basic mathematics courses. This essential provides a detailed introduction and presentation of essential aspects of dealing with complex numbers, on the one hand related to commonly occurring tasks and on the other hand embedded in basic mathematical content. This Springer essential is a translation of the original German 1st edition essentials Komplexe Zahlen by Jörg Kortemeyer, published by Springer Fachmedien Wiesbaden GmbH, part of Springer Nature in 2020. The translation was done with the help of artificial intelligence (machine translation by the service DeepL.com). A subsequent human revision was done primarily in terms of content, so that the book will read stylistically differently from a conventional translation. Springer Nature works continuously to further the development of tools for the production of books and on the related technologies to support the authors.
New Techniques in Resolution of Singularities
Resolution of singularities is notorious as a difficult topic within algebraic geometry. Recent work, aiming at resolution of families and semistable reduction, infused the subject with logarithmic geometry and algebraic stacks, two techniques essential for the current theory of moduli spaces. As a byproduct a short, a simple and efficient functorial resolution procedure in characteristic 0 using just algebraic stacks was produced. The goals of the book, the result of an Oberwolfach Seminar, are to introduce readers to explicit techniques of resolution of singularities with access to computer implementations, introduce readers to the theories of algebraic stacks and logarithmic structures, and to resolution in families and semistable reduction methods.
The Roman Villa in the Mediterranean Basin
This volume offers a comprehensive survey of Roman villas in Italy and the Mediterranean provinces of the Roman Empire, from their origins to the collapse of the Empire. The architecture of villas could be humble or grand, and sometimes luxurious. Villas were most often farms where wine, olive oil, cereals, and manufactured goods, among other products, were produced. They were also venues for hospitality, conversation, and thinking on pagan, and ultimately Christian, themes. Villas spread as the Empire grew. Like towns and cities, they became the means of power and assimilation, just as infrastructure, such as aqueducts and bridges, was transforming the Mediterranean into a Roman sea. The distinctive Roman/Italian villa type was transferred to the provinces, resulting in Mediterranean-wide culture of rural dwelling and work that further unified the Empire.
The God Behind the Window
These thirteen stories capture the poignancy and cynicism of late life through tales of misanthropic old men full of the mixture of wisdom and melancholy that so often accompanies old age.
Malt, Hände, malt
Das Internet-Lexikon Wikipedia beschreibt den Helden dieses historischen Romans mit der sachlichen Zusammenfassung: Lucas Cranach der Ältere (* vermutlich um den 4. Oktober 1472 in Kronach, Oberfranken; † 16. Oktober 1553 in Weimar) war einer der bedeutendsten deutschen Maler, Grafiker und Buchdrucker der Renaissance. Er war ab 1505 Hofmaler am kursächsischen Hof unter Friedrich dem Weisen, Johann dem Beständigen und Johann Friedrich dem Großmütigen. Neben zahlreichen Altarwerken und allegorischen Gemälden fertigten er und seine Werkstatt vor allem auch eine große Zahl an Porträts seiner Dienstherren sowie der Reformatoren Martin Luther und Philipp Melanchthon. Aber wie war dieser ...
Canon Revisited
Given the popular-level conversations on phenomena like the Gospel of Thomas and Bart Ehrman's Misquoting Jesus, as well as the current gap in evangelical scholarship on the origins of the New Testament, Michael Kruger's Canon Revisited meets a significant need for an up-to-date work on canon by addressing recent developments in the field. He presents an academically rigorous yet accessible study of the New Testament canon that looks deeper than the traditional surveys of councils and creeds, mining the text itself for direction in understanding what the original authors and audiences believed the canon to be. Canon Revisited provides an evangelical introduction to the New Testament canon th...
