A Brief History of Analysis

Detlef D. Spalt ()

in Springer Books from Springer

Date: 2022
ISBN: 978-3-031-00650-0
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Chapters in this book:

Ch Chapter 1 The Invention of the Mathematical Formula

Detlef D. Spalt

Ch Chapter 10 Cauchy: The Bourgeois Revolutionary as Activist of the Restoration

Detlef D. Spalt

Ch Chapter 11 The Interregnum: Analysis on Swampy Ground

Detlef D. Spalt

Ch Chapter 12 Weierstraß: The Last Effort Towards a Substancial Analysis

Detlef D. Spalt

Ch Chapter 13 Analysis’ Detachment from Reality—and the Introduction of the Actual Infinite into the Foundations of Mathematics

Detlef D. Spalt

Ch Chapter 14 Analysis with or Without Paradoxes?

Detlef D. Spalt

Ch Chapter 2 Numbers, Line Segments, Points—But No Curved Lines

Detlef D. Spalt

Ch Chapter 3 Lines and Variables

Detlef D. Spalt

Ch Chapter 4 Indivisible: An Old Notion (Or, What Is the Continuum Made of?)

Detlef D. Spalt

Ch Chapter 5 Do Infinite Numbers Exist?—An Unresolved Dispute Between Leibniz and Johann Bernoulli

Detlef D. Spalt

Ch Chapter 6 Johann Bernoulli’s Rules for Differentials—What Does “Equal” Mean?

Detlef D. Spalt

Ch Chapter 7 Euler and the Absolute Reign of Formal Calculation

Detlef D. Spalt

Ch Chapter 8 Emphases in Algebraic Analysis After Euler

Detlef D. Spalt

Ch Chapter 9 Bolzano: The Republican Revolutionary of Analysis

Detlef D. Spalt

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DOI: 10.1007/978-3-031-00650-0

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