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Everything about Veblen function
Mathematical function on ordinals
In mathematics, the Veblen functions are a hierarchy of normal functions, introduced by Oswald Veblen in Veblen (1908). If φ0 is any normal function, then for any non-zero ordinal α, φα is the function enumerating the common fixed points of φβ for β<α. These functions are all normal. Wikipedia →
🧭 Start here: a 6-step reading path
- Read the overview: Veblen functionA 5-minute orientation
- Skim a recent paper: Demand, the law of demand, Giffen and Veblen effects. Part 1. Functional demandInfluential work since 2022
- Pick up a classic book: Introduction to Infinitesimal Analysis: Functions of One Real VariableThe most-reprinted book on the subject
- Go sideways: Epsilon numberA closely related topic
- Go sideways: Ordinal notationA closely related topic
📖 Definitions
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🗂️ The subject at a glance
🏆 Landmark papers (most cited)
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🆕 Influential since 2022
📚 Books worth reading
Introduction to Infinitesimal Analysis: Functions of One Real VariableVeblen, Oswald, Nels Johann Lennes · 1907
Introduction to infinitesimal analysisVeblen, Oswald, Nels Johann Lennes · 1900- 📕The essential writings of Thorstein VeblenCharles Camic, Geoffrey Martin Hodgson · 2010
- 📕Monographs on topics of modern mathematicsJ. W. A. Young · 1915
Thorstein Veblen and the enrichment of evolutionary naturalismRick Tilman · 2007
The Cambridge Colloquium, 1916American Mathematical Society. Colloquium · 1918
The sociology bookChristopher Thorpe, Chris Yuill · 2015- 📕INTRODUCTION TO INFINITESIMAL ANALYSIS Functions of One Real VariableOswald Veblen · 1935
Ranked by number of editions on Open Library, a rough measure of how lasting a book is.
🔗 Related topics
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