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Schon lange bevor die Schrift entwickelt wurde, hat der Mensch geometrische Strukturen wahrgenommen und systematisch verwendet. So entstehen beim Weben und Flechten einfache zweidimensionale Muster und ohne dreidimensionale Korper wie Quader, Wurfel oder Pyramide ist keine Bautatigkeit denkbar. Das vorliegende Buch gibt einen faszinierenden Uberblick uber die geometrischen Vorstellungen und Erkenntnisse der Menschen von der Urgesellschaft bis hin zu den komplexen mathematischen wie auch kunstlerischen Ideen des 20. Jahrhunderts. Neben vielen Abbildungen wird jede Epoche mit einer Tabelle...

The present volume provides a fascinating overview of geometrical ideas and perceptions from the earliest cultures to the mathematical and artistic concepts of the 20th century. It is the English translation of the 3rd edition of the well-received German book "5000 Jahre Geometrie," in which geometry is presented as a chain of developments in cultural history and their interaction with architecture, the visual arts, philosophy, science and engineering.

Geometry originated in the ancient cultures along the Indus and Nile Rivers and in Mesopotamia, experiencing its first "Golden Age"...

There is a demand for analytical methods that are able to discriminate between enantiomers in order to analyze the enantiomeric purity of compounds from natural or chemical sources not only in pharmaceutical sciences but in any field on bioactive compounds including chemistry, biology, biochemistry, forensic, and environmental sciences and many others. The second edition of Chiral Separations: Methods and Protocols, expands upon the previous edition with current methodology, providing an overview and especially practically oriented applications of the most important analytical...

Writing the History of Mathematics provides both an intellectual and a social history of the development of the subject from the first such effort written in ancient Greece to recent efforts in the 20th century. A special project of the International Commission on History of Mathematics, this work is the result of more than ten years of collaboration by a team of 32 experts, each writing about the history of mathematics in their own countries or regions, and drawing upon extensive research and archival study. In addition to individuals, such institutions as universities,...