... 236 Article Eine nichtarchimedische Erweiterung angeordneter Körper† Detlef Laugwitz, Detlef Laugwitz DarmstadtSearch for more papers by this author Detlef Laugwitz, Detlef Laugwitz DarmstadtSearch for more papers by this author First ...
Tópico(s): Algebraic and Geometric Analysis
1968 - Wiley | Mathematische Nachrichten
Tópico(s): Economic and Social Issues
1954 - Springer Science+Business Media | Mathematische Zeitschrift
Ludwig Danzer, Detlef Laugwitz, Hanfried Lenz,
Tópico(s): Analytic Number Theory Research
1957 - Birkhäuser | Archiv der Mathematik
Curt Schmieden, Detlef Laugwitz,
Tópico(s): History and Theory of Mathematics
1958 - Springer Science+Business Media | Mathematische Zeitschrift
ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und MechanikVolume 43, Issue 7-8 p. 385-385 Buchbesprechung I. M. Gelfand - G. E. Schilow, Verallgemeinerte Funktionen (Distributionen). Band I und II. 364 bzw. XII + 216 S. m. 5 Abb. Berlin 1960/1962. VEB Deutscher Verlag der Wissenschaften. Preis geb. DM 37,-/ DM 27,– D. Laugwitz, D. Laugwitz TrautheimSearch for more papers by this author D. Laugwitz, D. Laugwitz TrautheimSearch for more papers by this author First ...
Tópico(s): European Monetary and Fiscal Policies
1963 - Wiley | ZAMM ‐ Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik
Tópico(s): Advanced Differential Geometry Research
1957 - Springer Science+Business Media | Mathematische Zeitschrift
Detlef Laugwitz. Zahlen und Kontinuum. Eine Einführung in die Infinitesimalmathematik. Lehrbücher und Monographien zur Didaktik der Mathematik, Bd. ...
Tópico(s): Education Methods and Technologies
1988 - Cambridge University Press | Journal of Symbolic Logic
Tópico(s): Advanced Differential Geometry Research
1955 - Birkhäuser | Archiv der Mathematik
Es wirdleine Klasse von unendlichdimensionalen normierten Räumen untersucht, die eine differentialgeometrisch natürliche Verallgemeinerung der endlichdimensionalen Minkowskiräume bilden. Als unendlichdimensionale Finslerräume werden differenzierbare Mannigfaltigkeiten mit solchen verallgemeinerten Minkowskiräumen als Tangentialräumen bezeichnet. Die Grundlagen für die Differentialgeometrie dieser Räume werden entwickelt.
Tópico(s): Advanced Differential Geometry Research
1956 - Springer Science+Business Media | Annali di Matematica Pura ed Applicata (1923 -)
Tópico(s): Corporate Management and Leadership
1955 - Springer Nature | Mathematische Annalen
Tópico(s): Multidisciplinary Warburg-centric Studies
1958 - Birkhäuser | Archiv der Mathematik
Article Anwendungen unendlich kleiner Zahlen. I. Zur Theorie der Distributionen. was published on January 1, 1961 in the journal Journal für die reine und angewandte Mathematik (volume 1961, issue 207).
Tópico(s): Mathematical and Theoretical Analysis
1961 - De Gruyter | Journal für die reine und angewandte Mathematik (Crelles Journal)
George F. Feeman, Detlef Laugwitz, Fritz Steinhardt,
Tópico(s): Mathematics and Applications
1966 - Taylor & Francis | American Mathematical Monthly
The fundamental role of infinitely small quantities for his teaching of the calculus was underlined by Cauchy himself in the introduction to his Cours d'analyse of 1821 and in the announcements of his later textbooks. First steps toward theories of such quantities which are briefly denoted as variables having zero as their limit were made by Cauchy, who represented them by sequences converging to zero (in the Cours) or by functions vanishing at zero (since 1823). It is shown that the famous so-called ...
Tópico(s): Mathematical and Theoretical Analysis
1987 - Elsevier BV | Historia Mathematica
Tópico(s): Mathematics and Applications
1989 - Springer Science+Business Media | Archive for History of Exact Sciences
Tópico(s): Education Methods and Technologies
1988 - Cambridge University Press | Journal of Symbolic Logic
Tópico(s): History and Theory of Mathematics
1965 - Springer Science+Business Media | Archive for History of Exact Sciences
Tópico(s): Mathematics and Applications
1956 - Johns Hopkins University Press | American Journal of Mathematics
1. LEIBNIZ AND L'HOSPITAL. Exactly 300 years ago there appeared in Paris the first book on differential calculus, Analyse des infiniment petits, by Marquis Guillaume F.A. L'Hospital (1661-1704). The book was based on materials supplied by Johann Bernoulli (1667-1748). Johann and his older brother Jakob (1654-1705) were the first 4'comrades-in-arms of Gottfried Wilhelm Leibniz (1646-1716), one of the two discoverers of the calculus. In 1684 Leibniz published for the first time a few simple applications ...
Tópico(s): Mathematics, Computing, and Information Processing
1997 - Taylor & Francis | American Mathematical Monthly
Tópico(s): Advanced Mathematical Modeling in Engineering
1961 - De Gruyter | Journal für die reine und angewandte Mathematik (Crelles Journal)
Tópico(s): Mathematical and Theoretical Analysis
1983 - Springer Nature | Lecture notes in mathematics
Tópico(s): Advanced Differential Geometry Research
1956 - Elsevier BV | Indagationes Mathematicae (Proceedings)
Tópico(s): Mathematics and Applications
2002 - Birkhäuser | NTM Zeitschrift für Geschichte der Wissenschaften Technik und Medizin
RÉSUMÉ. — Vers 1820, dans leurs travaux de physique mathématique, Cauchy, Fourier et Poisson utilisaient des méthodes qui seront redécouvertes plus d'un siècle plus tard. Les fonctions delta et les méthodes de sommation des séries divergentes et des intégrales étaient fondées sur l'emploi de quantités infiniment petites et infiniment grandes qui étaient développées de façon systématique dans les manuels de Cauchy.
Tópico(s): Historical and Literary Studies
1992 - Presses Universitaires De France | Revue d histoire des sciences
Tópico(s): Advanced Theoretical and Applied Studies in Material Sciences and Geometry
1954 - Springer Science+Business Media | Mathematische Zeitschrift
Tópico(s): History and Theory of Mathematics
2001 - Schwabe AG | Gesnerus
Tópico(s): History and Theory of Mathematics
1997 - Taylor & Francis | American Mathematical Monthly
Tópico(s): Advanced Theoretical and Applied Studies in Material Sciences and Geometry
1954 - Springer Science+Business Media | Mathematische Zeitschrift
Es wird eine Kennzeichnung der Räume mit pythagoreischer Metrik angegeben, welche über die Ergebnisse von Helmholtz und Weyl insofern hinausgeht, als außer dem euklidischen und Riemannschen Raum der klassischen und relativistischen Physik auch die quadratische Metrik im quantenmechanischen Zustandsraum erfaßt wird. Die Kennzeichnung beruht auf einem Isotropiepostulat, das im Zustandsraum in die Forderung der Gleichberechtigung aller Zustände vor der Beobachtung übergeht.
Tópico(s): Biomedical and Chemical Research
1954 - De Gruyter | Zeitschrift für Naturforschung A
The characterizations of inner product norms given by Tapia [10] make use of a generalized inner product in normed spaces. I shall give simpler proofs and a sharper result using a more geometrical approach.
Tópico(s): Advanced Banach Space Theory
1975 - American Mathematical Society | Proceedings of the American Mathematical Society