
Mathematical Perspectives
Essays on Mathematics and Its Historical Development
- 288 pages
- English
- PDF
- Available on iOS & Android
About this book
Mathematical Perspectives: Essays on Mathematics and its Historical Development is a collection of 13 biographical essays on the historical advances of science. This collection is originally meant to comprise an issue of the journal Historia Mathematica in honor of Professor Kurt R. Biermann's 60th birthday. This 12-chapter text includes essays on studies and commentaries on the problem of "figures of equal perimeter by various authors in antiquity, including Zenodorus, Theon, and Pappus. Other essays explore the comparison of the areas of polygons with equal perimeter; the concept of function; history of mathematics; the development of mathematical physics in France; and the history of Logicism and Formalism. The remaining chapters deal with essays on an early version of Gauss' Disquisitiones Arithmeticae, ideal numbers, a mathematical-philosophilica theory of probability, and historical examples of problem of number sequence interpolation. This book will be of value to mathematicians, historians, and researchers.
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Table of contents
- Front Cover
- Mathematical Perspectives: Essays on Mathematics and its Historical Development
- Copyright Page
- Table of Contents
- List of Contributors
- Preface
- Kurt-Reinhard Biermann
- Chapter 1. Adrianus Romanus and Giovanni Camillo Glorioso on Isoperimetric Figures
- Chapter 2. Des fonctions comme expressions analytiques aux fonctions representables analytiquement
- Chapter 3. August Leopold Crelle und die Berliner Akademie der Wissenschaften
- Chapter 4. HermiteâWeberâNeumann: Kleine Briefgeschichte eines grossen Irrtums
- Chapter 5. Mittelalterliche mathematische Handschriften in westlichen Sprachen in der Berliner Staatsbibliothek. Ein vorlÀufiges Verzeichnis
- Chapter 6. Mathematical Physics in France, 1800-1840: Knowledge, Activity, and Historiography
- Chapter 7. Symbolik und Formalismus im mathematischen Denken des 19. und beginnenden 20. Jahrhunderts
- Chapter 8. An Early Version of Gauss's Disquisitiones Arithmeticae
- Chapter 9. Ăber die AnstöĂe zu Kummers Schöpfung der "Idealen Complexen Zahlen
- Chapter 10. Leibniz on the Probable
- Chapter 11. Von Pascals Dreieck zu Eulers Gamma-Funktion. Zur Entwicklung der Methodik der Interpolation
- Chapter 12. Neue geometrische Texte aus Byzanz
- Chapter Deutsche MathematikerâAuswĂ€rtige Mitglieder der Akademie der Wissenschaften der UdSSR
- Bibliographie
- INDEX