-
1
-
-
77953406917
-
-
S. Albeverio, J. E. Fenstad, R. Høegh-Krohn, and T. Lindstrøm, Nonstandard Methods in Stochastic Analysis and Mathematical Physics (Pure and Applied Mathematics. Academic Press, 1988, 2nd ed., Dover, 2009).
-
-
-
-
2
-
-
0004178623
-
-
New York: Simon and Schuster
-
E. T. Bell, Men of Mathematics (Simon and Schuster, New York, 1937).
-
(1937)
Men of Mathematics
-
-
Bell, E.T.1
-
3
-
-
77953376360
-
-
J. L. Bell, A Primer of Infinitesimal Analysis (Cambridge University Press, 1998).
-
-
-
-
4
-
-
1442305159
-
A Ring Homomorphism is Enough to Get Nonstandard Analysis
-
V. Benci and M. Di Nasso, "A Ring Homomorphism is Enough to Get Nonstandard Analysis." Bull. Belg. Math. Soc. Simon Stevin 10, 481-490, 2003.
-
(2003)
Bull. Belg. Math. Soc. Simon Stevin
, vol.10
, pp. 481-490
-
-
Benci, V.1
Di Nasso, M.2
-
5
-
-
24944500015
-
A Purely Algebraic Characterization of the Hyperreal Numbers
-
V. Benci and M. Di Nasso, "A Purely Algebraic Characterization of the Hyperreal Numbers," Proc. Amer. Math. Soc. 133(9), 2501-05 (2005).
-
(2005)
Proc. Amer. Math. Soc.
, vol.133
, Issue.9
, pp. 2501-2505
-
-
Benci, V.1
Di Nasso, M.2
-
7
-
-
77953472968
-
-
M. Berz, "Analysis on a Nonarchimedean Extension of the Real Numbers," Mathematics Summer Graduate School of the German National Merit Foundation, MSUCL-933, Department of Physics, Michigan State University, 1992 and 1995 edition, 1994.
-
-
-
-
8
-
-
0004077756
-
-
LMS Lect. Note Series, Cambridge: Cambridge University Press
-
T. Bröcker, Differentiable Germs and Catastrophes, Vol. 17 of LMS Lect. Note Series (Cambridge University Press, Cambridge, 1975).
-
(1975)
Differentiable Germs and Catastrophes
, vol.17
-
-
Bröcker, T.1
-
9
-
-
0004232004
-
-
LMS Monographs, London & New York: Academic Press
-
J. H. Conway, On Numbers and Games, Number 6 in LMS Monographs (Academic Press, London & New York, 1976).
-
(1976)
On Numbers and Games
, vol.6
-
-
Conway, J.H.1
-
10
-
-
77953373521
-
-
P. A. M. Dirac, General Theory of Relativity (John Wiley and Sons, 1975).
-
-
-
-
12
-
-
0000602577
-
Les prolongements d'une variété différentiable: Calculus des jets, prolongement principal
-
C. Ehresmann, "Les prolongements d'une variété différentiable: Calculus des jets, prolongement principal," C. R. Acad. Sci. Paris 233, 598-600 (1951).
-
(1951)
C. R. Acad. Sci. Paris
, vol.233
, pp. 598-600
-
-
Ehresmann, C.1
-
13
-
-
77953418809
-
-
A. Einstein, Investigations on the Theory of the Brownian Movement (Dover, 1926).
-
-
-
-
15
-
-
14644436977
-
Infinitesimal Differential Geometry
-
P. Giordano, "Infinitesimal Differential Geometry," Acta Math. Univ. Comenian. LXIII(2), 235-278 (2004).
-
(2004)
Acta Math. Univ. Comenian.
, vol.LXIII
, Issue.2
, pp. 235-278
-
-
Giordano, P.1
-
16
-
-
77953460462
-
-
P. Giordano, "Fermat Reals: Nilpotent Infinitesimals and Infinite Dimensional Spaces," arXiv: 0907. 1872 (July 2009).
-
-
-
-
18
-
-
77953437955
-
-
A. Griewank, Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation, Vol. 19 of Frontiers Appl. Math. (SIAM, 2000).
-
-
-
-
19
-
-
77953421908
-
-
C. W. Henson, Foundations of Nonstandard Analysis. A Gentle Introduction to Nonstandard Extension. In L. O. Arkeryd, N. J. Cutland, and C. W. Henson, editors, Nonstandard Analysis: Theory and Applications (Edinburgh, 1996), pp. 1-49, Dordrecht, 1997. NATO Adv. Sci. Inst. Ser. C: Math. Phys. Sci., Vol. 493, Kluwer Acad. Publ.
-
-
-
-
20
-
-
77953452026
-
-
A. Kock, Synthetic Differential Geometry, Vol 51 of LMS Lect. Note Series (Cambridge Univ. Press, 1981).
-
-
-
-
21
-
-
4444296698
-
Product Preserving Functors of Infinite Dimensional Manifolds
-
A. Kriegl and P. W. Michor, "Product Preserving Functors of Infinite Dimensional Manifolds," Arch. Math. (Brno) 32(4), 289-306 (1996).
-
(1996)
Arch. Math. (Brno)
, vol.32
, Issue.4
, pp. 289-306
-
-
Kriegl, A.1
Michor, P.W.2
-
24
-
-
77953430128
-
-
G. Prodi, Analisi matematica, Ed. Bollati Boringhieri (Torino, 1970).
-
-
-
-
27
-
-
77953395611
-
-
C. Truesdell, A First Course in Rational Continuum Mechanics: V. 1 General Concepts, 2nd ed., Vol. 71 of Pure Appl. Math. (Academic Press Inc., 1991).
-
-
-
-
28
-
-
77953378008
-
-
V. S. Vladimirov, Equazioni della fisica matematica (MIR, 1987).
-
-
-
|