The Rise and Fall of the German Combinatorial Analysis

1. Auflage 2022
ISBN: 978-3-030-93819-2
Verlag: Springer International Publishing

Buch, Englisch, 421 Seiten, Format (B × H): 168 mm x 240 mm, Gewicht: 720 g

Reihe: Frontiers in the History of Science

This text presents the ideas of a particular group of mathematicians of the late 18th century known as “the German combinatorial school” and its influence. The book tackles several questions concerning the emergence and historical development of the German combinatorial analysis, which was the unfinished scientific research project of that group of mathematicians. The historical survey covers the three main episodes in the evolution of that research project: its theoretical antecedents (which go back to the innovative ideas on mathematical analysis of the late 17th century) and first formulation, its consolidation as a foundationalist project of mathematical analysis, and its dissolution at the beginning of the 19th century. In addition, the book analyzes the influence of the ideas of the combinatorial school on German mathematics throughout the 19th century.

Zielgruppe

Research

Autoren/Hrsg.

Noble, Eduardo

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik
• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
• Geisteswissenschaften Geschichtswissenschaft Geschichtliche Themen Wissenschafts- und Universitätsgeschichte

Inhaltsverzeichnis

1. A History of the Binomial and Multinomial Theorems.- 2. The Emergence of the German Combinatorial Analysis.- 3. The Consolidation of the German Combinatorial Analysis.- 4. The Decline of the German Combinatorial Analysis.- 5. A Combinatorial Current of Thought.- Epilogue.