Mathematical Perspectives
Essays on Mathematics and Its Historical Development
- 1st Edition - October 28, 1981
- Imprint: Academic Press
- Editor: Joseph W. Dauben
- Language: English
- Paperback ISBN:9 7 8 - 1 - 4 8 3 2 - 3 7 9 2 - 3
- eBook ISBN:9 7 8 - 1 - 4 8 3 2 - 6 2 5 7 - 4
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… Read more
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Request a sales quoteMathematical 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.
List of Contributors
Preface
Kurt-Reinhard Biermann
Adrianus Romanus and Giovanni Camillo Glorioso on Isoperimetric Figures
Notes
References
Des Fonctions Comme Expressions Analytiques Aux Fonctions Représentables Analytiquement
La Notion Eulérienne de Fonction
La Fonction Continue au Sens de Bolzano
Cauchy et la Conservation de la Continuité par des Opérations de l'analyse
Dirichlet et les "Fonctions qui ne sont Assujetties á Aucune loi Analytique"
Weierstrass et les "Expressions Analytiques" des Functions Continues
Dedekind et l'Application Comme Fondement des Mathematiques
Cantor, la topologie générale, et le Transfini
Baire et les Fonctions Représentables Analytiquement
Bibliographie
August Leopold Crelle und die Berliner Akademie der Wissenschaften
Notes
Hermite-Weber-Neumann: Kleine Briefgeschichte Eines Grossen Irrtums
Notes
Mittelalterliche Mathematische Handschriften in Westlichen Sprachen in der Berliner Staatsbibliothek. Ein Vorläufiges Verzeichnis
Anmerkungen
Beschreibungen
Literaturverzeichnis
Namen- und Sachregister
Verzeichnis der Initien
Mathematical Physics in France, 1800-1840: Knowledge, Activity, and Historiography
1. Introduction
2. An Outline of Developments from 1800 to 1840
3. Institutional Aspects: The Académie des Sciences, and Outside
4. Educational Aspects: The Ecole Polytechnique, and Outside
5. Mathematical Procedure
6. The Use of Mathematics in Physics: A Spectrum of Modes
7. Some Companion Philosophical Aspects
8. The French Community in Mathematical Physics, 1800-1840
9. Some Remarks on the Social History of Science
10. On the Decline of French Mathematical Physics
11. On Mathematical Physics outside France, 1800-1840
12. Bibliographical Statement
Bibliography
Symbolik und Formalismus im Mathematischen Denken des 19. und Beginnenden 20. Jahrhunderts
Einleitung
1. Heuristik und Ordnungsprinizipien
2. Symbolische Algebra und formale Mathematik
3. Hamilton und die Quaternionentheorie
4. Operationenkalkül
5. Algorithmisierung
6. Universalisierung
Anmerkungen
An Early Version of Gauss's Disquisitiones Arithmeticae
Provenance
Description
Contents
Creation of the AR
Creation of the DA
Conclusion
Notes
References
Über die Anstöße zu Kummers Schöpfung der "Idealen Complexen Zahlen"
1. Zielstellung
2. Über Einige Aüsserungen Hensels
3. Kummer und die Fermatsche Vermutung
4. Kummers Weg zu den "idealen complexen Zahlen"
Zitierte Literatur
Leibniz on the Probable
1. Introduction
2. Leibniz's Interests in Jurisprudence as His Starting Point
3. Leibniz's Attempt to Mathematize the Probable, to Estimate the Uncertain
4. Leibniz's Influence on the Theory of Probability in the Early Eighteenth Century
5. Conclusion
Abbreviations
Notes
Von Pascals Dreieck zu Eulers Gamma-Funktion. Zur Entwicklung der Methodik der Interpolation
Literatur
Neue Geometrische Texte aus Byzanz
Anmerkungen
Deutsche Mathematiker—Auswärtige Mitglieder der Akademie der Wissenschaften der UdSSR
Literaturverzeichnis
Bibliographie: Veröffentlichungen von Prof. Dr. rer. nat. habil. Kurt-R. Biermann
Index zur Bibliographie
- Edition: 1
- Published: October 28, 1981
- No. of pages (eBook): 288
- Imprint: Academic Press
- Language: English
- Paperback ISBN: 9781483237923
- eBook ISBN: 9781483262574
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