The Rise and Fall of the German Combinatorial Analysis
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.

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The Rise and Fall of the German Combinatorial Analysis
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.

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The Rise and Fall of the German Combinatorial Analysis

The Rise and Fall of the German Combinatorial Analysis

by Eduardo Noble
The Rise and Fall of the German Combinatorial Analysis
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The Rise and Fall of the German Combinatorial Analysis

The Rise and Fall of the German Combinatorial Analysis

by Eduardo Noble

Overview

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.

Product Details

ISBN-13: 9783030938192
Publisher: Springer International Publishing
Publication date: 05/30/2022
Series: Frontiers in the History of Science
Edition description: 1st ed. 2022
Pages: 421
Product dimensions: 6.61(w) x 9.45(h) x (d)

Table of Contents

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.
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Related Subjects

Science & Technology
Mathematics
History of Mathematics
Logic & Foundations of Mathematics
Science & Technology
Mathematics
History of Mathematics
Logic & Foundations of Mathematics

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