Format:
xxiii, 254 Seiten
,
Illustrationen, Diagramme
ISBN:
9783031006494
Content:
Preface / The Invention of the Mathematical Formula / Numbers, Line Segments, Points—But No Curved Lines / Lines and Variables / Indivisible: An Old Notion (Or, What Is the Continuum Made of?) / Do Infinite Numbers Exist?—An Unresolved Dispute Between Leibniz and Johann Bernoulli / Johann Bernoulli’s Rules for Differentials—What Does “Equal” Mean? / Euler and the Absolute Reign of Formal Calculation / Emphases in Algebraic Analysis After Euler / Bolzano: The Republican Revolutionary of Analysis / Cauchy: The Bourgeois Revolutionary as Activist of the Restoration / The Interregnum: Analysis on Swampy Ground / Weierstraß: The Last Effort Towards a Substancial Analysis / Analysis’ Detachment from Reality—and the Introduction of the Actual Infinite into the Foundations of Mathematics / Analysis with or Without Paradoxes?
Additional Edition:
ISBN 9783031006500
Additional Edition:
Erscheint auch als Online-Ausgabe Spalt, Detlef D. A Brief History of Analysis Cham : Springer International Publishing, 2022 ISBN 9783031006500
Additional Edition:
Erscheint auch als Online-Ausgabe Spalt, Detlef D., 1952 - A brief history of analysis Cham, Switzerland : Birkhäuser, 2022 ISBN 9783031006500
Language:
English
Keywords:
Analysis
;
Geschichte 1637-1958
;
Theoretische Philosophie
;
Mathematik
;
Geschichte 1637-1958
DOI:
10.1007/978-3-031-00650-0
Author information:
Spalt, Detlef D. 1952-
