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1

On the Historical Development of Infinitesimal Mathematics

Detlef Laugwitz

Journal:

American Mathematical Monthly

Year:

1997

Language:

english

File:

PDF, 303 KB

english, 1997

2

Leonhard Euler 1707–1783 || Euler, d’Alembert et les fondements de l’analyse

Fellmann, Emil A., Gelfond, Aleksander O., Weil, André, Scharlau, Winfried, Matvievskaja, Galina P., Ožigova, Elena P., Juškevič, Adolf P., Dugac, Pierre, Laugwitz, Detlef, Schoenberg, Isaac J., Speis

Year:

1983

File:

PDF, 1.90 MB

1983

3

Definite values of infinite sums: Aspects of the foundations of infinitesimal analysis around 1820

Detlef Laugwitz

Journal:

Archive for History of Exact Sciences

Year:

1989

Language:

english

File:

PDF, 2.89 MB

english, 1989

4

Leonhard Euler 1707–1783 || Euler’s Physics in Russia

Fellmann, Emil A., Gelfond, Aleksander O., Weil, André, Scharlau, Winfried, Matvievskaja, Galina P., Ožigova, Elena P., Juškevič, Adolf P., Dugac, Pierre, Laugwitz, Detlef, Schoenberg, Isaac J., Speis

Year:

1983

Language:

english

File:

PDF, 1.56 MB

english, 1983

5

Problems

Richard Friedlander, Stan Wagon, Hillel Gauchman, Ira Rosenholtz, Huseyin Demin, Detlef Laugwitz, Murray S. Klamkin, Norman Schaumberger, Tadhg Creedon, Desmond MacHale, Stephen G. Penrice, R. S. Tibe

Journal:

Mathematics Magazine

Year:

1992

Language:

english

File:

PDF, 610 KB

english, 1992

6

Problems

David Callan, Detlef Laugwitz, Ruby Rose Z"L, Arthur L. Holshouser, Benjamin G. Klein, Loren C. Larson, Jerrold W. Grossman, Stephen Mellendorf, Wu Wei Chao, Murray S. Klamkin, Lenny Jones, L. L. Fost

Journal:

Mathematics Magazine

Year:

1996

Language:

english

File:

PDF, 583 KB

english, 1996

7

Leonhard Euler 1707–1783 || L. Euler’s unpublished manuscript Calculus Differentialis

Fellmann, Emil A., Gelfond, Aleksander O., Weil, André, Scharlau, Winfried, Matvievskaja, Galina P., Ožigova, Elena P., Juškevič, Adolf P., Dugac, Pierre, Laugwitz, Detlef, Schoenberg, Isaac J., Speis

Year:

1983

Language:

english

File:

PDF, 1.80 MB

english, 1983

8

Comments on the Paper "Two Letters by N. N. Luzin to M. Ya. Vygodskii"

Laugwitz, Detlef

Journal:

American Mathematical Monthly

Year:

2000

Language:

english

File:

PDF, 1.07 MB

english, 2000

9

A Simple Characterization of the Gamma Function

Laugwitz, Detlef, Rodewald, Bernd

Journal:

American Mathematical Monthly

Year:

1987

Language:

english

File:

PDF, 359 KB

english, 1987

10

Predicting factors for long-term survival in patients with out-of-hospital cardiac arrest – A propensity score-matched analysis

Lahmann, Anna Lena, Bongiovanni, Dario, Berkefeld, Anna, Kettern, Maximilian, Martinez, Lucas, Okrojek, Rainer, Hoppmann, Petra, Laugwitz, Karl-Ludwig, Mayr, Patrick, Cassese, Salvatore, Byrne, Robert

Journal:

Year:

2020

Language:

english

File:

PDF, 878 KB

english, 2020

11

Riemann and the Cauchy—Hadamard formula for the convergence of power series

Detlef Laugwitz, Erwin Neuenschwander

Journal:

Historia Mathematica

Year:

1994

Language:

english

File:

PDF, 346 KB

english, 1994

12

Riemann Metrics Associated with Convex Bodies and Normed Spaces

Detlef Laugwitz and Edgar R. Lorch

Journal:

American Journal of Mathematics

Year:

1956

Language:

english

File:

PDF, 498 KB

english, 1956

13

On the Historical Development of Infinitesimal Mathematics

Detlef Laugwitz

Journal:

American Mathematical Monthly

Year:

1997

Language:

english

File:

PDF, 303 KB

english, 1997

14

A Simple Characterization of the Gamma Function

Laugwitz, Detlef, Rodewald, Bernd

Journal:

American Mathematical Monthly

Year:

1987

Language:

english

File:

PDF, 301 KB

english, 1987

15

Riemann's Dissertation and Its Effect on the Evolution of Mathematics

Detlef Laugwitz

Journal:

American Mathematical Monthly

Year:

1999

Language:

english

File:

PDF, 813 KB

english, 1999

16

Motivations and Linear Algebra

Detlef Laugwitz

Journal:

Educational Studies in Mathematics

Year:

1974

Language:

english

File:

PDF, 653 KB

english, 1974

17

Leonhard Euler 1707–1783 || Euler’s Contributions to Potential Theory 1730–1755

Fellmann, Emil A., Gelfond, Aleksander O., Weil, André, Scharlau, Winfried, Matvievskaja, Galina P., Ožigova, Elena P., Juškevič, Adolf P., Dugac, Pierre, Laugwitz, Detlef, Schoenberg, Isaac J., Speis

Year:

1983

Language:

english

File:

PDF, 2.60 MB

english, 1983

18

Bernhard Riemann 1826–1866 ||

Laugwitz, Detlef

Year:

1999

Language:

english

File:

PDF, 38.00 MB

english, 1999

19

Bare Metal vs. Drug-Eluting Stents for Extracranial Vertebral Artery Disease: A Meta-Analysis of Nonrandomized Comparative Studies

Langwieser, Nicolas, Buyer, Dominique, Schuster, Tibor, Haller, Bernhard, Laugwitz, Karl-Ludwig, Ibrahim, Tareq

Journal:

Journal of Endovascular Therapy

Year:

2014

Language:

english

File:

PDF, 267 KB

english, 2014

20

Leonhard Euler 1707–1783 ||

Fellmann, Emil A., Gelfond, Aleksander O., Weil, André, Scharlau, Winfried, Matvievskaja, Galina P., Ožigova, Elena P., Juškevič, Adolf P., Dugac, Pierre, Laugwitz, Detlef, Schoenberg, Isaac J., Speis

Year:

1983

Language:

german

File:

PDF, 64.10 MB

german, 1983

21

On Assigning an Arbitrary Limit to a Linearly Independent Sequence of Vectors

Detlef Laugwitz

Journal:

American Mathematical Monthly

Year:

1964

Language:

english

File:

PDF, 258 KB

english, 1964

22

Infinitely small quantities in Cauchy's textbooks

Detlef Laugwitz

Journal:

Historia Mathematica

Year:

1987

Language:

english

File:

PDF, 1.21 MB

english, 1987

23

Leonhard Euler 1707–1783 || Eulers Herleitung des Drehimpulssatzes

Fellmann, Emil A., Gelfond, Aleksander O., Weil, André, Scharlau, Winfried, Matvievskaja, Galina P., Ožigova, Elena P., Juškevič, Adolf P., Dugac, Pierre, Laugwitz, Detlef, Schoenberg, Isaac J., Speis

Year:

1983

Language:

german

File:

PDF, 1.81 MB

german, 1983

24

Embryonic Heart Progenitors and Cardiogenesis

Brade, T., Pane, L. S., Moretti, A., Chien, K. R., Laugwitz, K.-L.

Journal:

Cold Spring Harbor Perspectives in Medicine

Year:

2013

Language:

english

File:

PDF, 1.21 MB

english, 2013

25

Advanced Problems: 5934-5939

Buck, R. C., Selucky, K., Styer, David, Wilansky, Albert, Laugwitz, Detlef, Andrushkiw, J. W.

Journal:

American Mathematical Monthly

Year:

1973

Language:

english

File:

PDF, 234 KB

english, 1973

26

On Characterizations of Inner Product Spaces

Detlef Laugwitz

Journal:

Proceedings of the American Mathematical Society

Year:

1975

Language:

english

File:

PDF, 174 KB

english, 1975

27

Elementary Problems: E3259-E3264

Jordi Dou, Peter Andrews, Edward T. H. Wang, Detlef Laugwitz, R. G. E. Pinch, C. Boyd, Walther Janous and Stanley Rabinowitz

Journal:

American Mathematical Monthly

Year:

1988

Language:

english

File:

PDF, 303 KB

english, 1988

28

On the Historical Development of Infinitesimal Mathematics

Laugwitz, Detlef

Journal:

American Mathematical Monthly

Year:

1997

Language:

english

File:

PDF, 835 KB

english, 1997

29

Riemann's Dissertation and Its Effect on the Evolution of Mathematics

Laugwitz, Detlef

Journal:

American Mathematical Monthly

Year:

1999

Language:

english

File:

PDF, 690 KB

english, 1999

30

Comments on the paper “Two letters by N. N. Luzin to M. Ya. Vygodskiῐ”

Laugwitz, Detlef

Journal:

American Mathematical Monthly

Year:

2000

File:

PDF, 929 KB

2000

31

Eine nichtarchimedische Erweiterung angeordneter Körper

Detlef Laugwitz

Journal:

Mathematische Nachrichten

Year:

1968

Language:

german

File:

PDF, 603 KB

german, 1968

32

“Das letzte Ziel ist immer die Darstellung einer Funktion”: Grundlagen der analysis bei Weierstraß 1886, historische Wurzeln und Parallelen

Detlef Laugwitz

Journal:

Historia Mathematica

Year:

1992

File:

PDF, 1.17 MB

1992

33

Liver laceration associated with the use of a chest compression device

Christian von Bary, Stephanie Hohenester, Jochen Gaa, Karl-Ludwig Laugwitz

Journal:

Year:

2009

Language:

english

File:

PDF, 143 KB

english, 2009

34

G. Vranceanu, Vorlesungen über Differentialgeometrie, Teil I. In Deutscher Sprache bearbeitet und herausgegeben von M. Pinl, Prof. a. d. Univ. Köln. VIII + 371 S. Berlin 1961. Akademie-Verlag. Preis geb. DM 58,—

Journal:

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

Year:

1962

Language:

german

File:

PDF, 160 KB

german, 1962

35

A. S. Petrow, Einstein-Räume (Mathematische Lehrbücher und Monographien, II. Abteilung Mathematische Monographien, Band XIV). X + 394 S. Berlin 1964. Akademie-Verlag. Preis geb. DM 58,- .

Journal:

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik

Year:

1964

Language:

german

File:

PDF, 174 KB

german, 1964

36

Bemerkungen zu Bolzanos Größenlehre

Detlef Laugwitz

Journal:

Archive for History of Exact Sciences

Year:

1965

Language:

german

File:

PDF, 719 KB

german, 1965

37

Differentialgeometrie ohne Dimensionsaxiom

Detlef Laugwitz

Journal:

Mathematische Zeitschrift

Year:

1954-1955

Language:

german

File:

PDF, 1.04 MB

german, 1954-1955

38

Differentialgeometrie ohne Dimensionsaxiom

Detlef Laugwitz

Journal:

Mathematische Zeitschrift

Year:

1954-1955

Language:

german

File:

PDF, 807 KB

german, 1954-1955

39

Eine Erweiterung der Infinitesimalrechnung

Curt Schmieden, Detlef Laugwitz

Journal:

Mathematische Zeitschrift

Year:

1958

Language:

german

File:

PDF, 2.03 MB

german, 1958

40

Hidden lemmas in the early history of infinite series

Journal:

Aequationes Mathematicae

Year:

1987

Language:

english

File:

PDF, 529 KB

english, 1987

41

Debates about infinity in mathematics around 1890: The Cantor-Veronese controversy, its origins and its outcome

Detlef Laugwitz

Journal:

NTM Zeitschrift für Geschichte der Wissenschaften, Technik und Medizin

Year:

2002

Language:

english

File:

PDF, 1.67 MB

english, 2002

42

Über eine Vermutung von Hermann Weyl zum Raumproblem

Detlef Laugwitz

Journal:

Archiv der Mathematik

Year:

1958

Language:

german

File:

PDF, 323 KB

german, 1958

43

Impressions from riemann’s native country

Annette Laugwitz, Detlef Laugwitz

Journal:

The Mathematical Intelligencer

Year:

1995

Language:

english

File:

PDF, 2.91 MB

english, 1995

44

Islet1 cardiovascular progenitors: a single source for heart lineages?

Laugwitz, K.-L., Moretti, A., Caron, L., Nakano, A., Chien, K. R.

Journal:

Development (The Company of Biologists)

Year:

2007

Language:

english

File:

PDF, 2.71 MB

english, 2007

45

Leonhard Euler 1707–1783 || L’œuvre arithmétique d’Euler

Fellmann, Emil A., Gelfond, Aleksander O., Weil, André, Scharlau, Winfried, Matvievskaja, Galina P., Ožigova, Elena P., Juškevič, Adolf P., Dugac, Pierre, Laugwitz, Detlef, Schoenberg, Isaac J., Speis

Year:

1983

File:

PDF, 3.29 MB

1983

46

Leonhard Euler 1707–1783 || Eulers Beiträge zur partitio numerorum und zur Theorie der erzeugenden Funktionen

Fellmann, Emil A., Gelfond, Aleksander O., Weil, André, Scharlau, Winfried, Matvievskaja, Galina P., Ožigova, Elena P., Juškevič, Adolf P., Dugac, Pierre, Laugwitz, Detlef, Schoenberg, Isaac J., Speis

Year:

1983

Language:

german

File:

PDF, 2.04 MB

german, 1983

47

Leonhard Euler 1707–1783 || Die Nichtstandard-Analysis: Eine Wiederaufnahme der Ideen und Methoden von Leibniz und Euler

Fellmann, Emil A., Gelfond, Aleksander O., Weil, André, Scharlau, Winfried, Matvievskaja, Galina P., Ožigova, Elena P., Juškevič, Adolf P., Dugac, Pierre, Laugwitz, Detlef, Schoenberg, Isaac J., Speis

Year:

1983

Language:

german

File:

PDF, 2.61 MB

german, 1983

48

Leonhard Euler 1707–1783 || Leonhard Eulers handschriftlicher Nachlass zur Zahlentheorie

Fellmann, Emil A., Gelfond, Aleksander O., Weil, André, Scharlau, Winfried, Matvievskaja, Galina P., Ožigova, Elena P., Juškevič, Adolf P., Dugac, Pierre, Laugwitz, Detlef, Schoenberg, Isaac J., Speis

Year:

1983

Language:

german

File:

PDF, 1.54 MB

german, 1983

49

Leonhard Euler 1707–1783 || Euler’s contribution to cardinal spline interpolation: The exponential Euler splines

Fellmann, Emil A., Gelfond, Aleksander O., Weil, André, Scharlau, Winfried, Matvievskaja, Galina P., Ožigova, Elena P., Juškevič, Adolf P., Dugac, Pierre, Laugwitz, Detlef, Schoenberg, Isaac J., Speis

Year:

1983

Language:

english

File:

PDF, 1.26 MB

english, 1983

50

Leonhard Euler 1707–1783 || Eulers Schriften zur Optik, zur Elektrizität und zum Magnetismus

Fellmann, Emil A., Gelfond, Aleksander O., Weil, André, Scharlau, Winfried, Matvievskaja, Galina P., Ožigova, Elena P., Juškevič, Adolf P., Dugac, Pierre, Laugwitz, Detlef, Schoenberg, Isaac J., Speis

Year:

1983

Language:

german

File:

PDF, 2.09 MB

german, 1983

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