-
1
-
-
78649797726
-
Superinfinitesimals and the calculus of the generalized Riemann integral
-
G. H. Müller and M. M. Richter, eds., Lecture Notes in Mathematics, Springer-Verlag, Berlin
-
B. Benninghofen, Superinfinitesimals and the calculus of the generalized Riemann integral, in Models and Sets, G. H. Müller and M. M. Richter, eds., Lecture Notes in Mathematics, vol. 1103, Springer-Verlag, Berlin, 1984, 9-52.
-
(1984)
Models and Sets
, vol.1103
, pp. 9-52
-
-
Benninghofen, B.1
-
2
-
-
0141733737
-
A general theory of superinfinitesimals
-
B. Benninghofen and M. M. Richter, A general theory of superinfinitesimals, Fund. Math. 123 (1987) 199-215.
-
(1987)
Fund. Math.
, vol.123
, pp. 199-215
-
-
Benninghofen, B.1
Richter, M.M.2
-
5
-
-
0001829716
-
Axiomatic foundations for nonstandard analysis
-
K. Hrbacek, Axiomatic foundations for nonstandard analysis, Fund. Math. 98 (1978) 1-19.
-
(1978)
Fund. Math.
, vol.98
, pp. 1-19
-
-
Hrbacek, K.1
-
6
-
-
0011041904
-
Nonstandard set theory
-
doi :10.2307/2321294
-
-, Nonstandard set theory, Amer. Math. Monthly 86 (1979) 1-19. doi :10.2307/2321294
-
(1979)
Amer. Math. Monthly
, vol.86
, pp. 1-19
-
-
-
7
-
-
78649773601
-
Internally iterated ultrapowers
-
A. Enayat and R. Kossak, eds., Contemporary Mathematics, American Mathematical Society, Providence, RI
-
-, Internally iterated ultrapowers, in Nonstandard Models of A rithmetic and Set Theory, A. Enayat and R. Kossak, eds., Contemporary Mathematics, vol. 361, American Mathematical Society, Providence, RI, 2004, 87-120.
-
(2004)
Nonstandard Models of A Rithmetic and Set Theory
, vol.361
, pp. 87-120
-
-
-
8
-
-
72149125154
-
Stratified analysis?
-
I. van den Berg and V. Neves, eds., Springer-Verlag, Berlin
-
-,Stratified analysis? in The Strength of Nonstandard Analysis, I. van den Berg and V. Neves, eds., Springer-Verlag, Berlin, 2007, 47-63.
-
(2007)
The Strength of Nonstandard Analysis
, pp. 47-63
-
-
-
9
-
-
77955511595
-
Relative set theory: Internal view
-
-, Relative set theory: Internal view, J. Log. Anal. 1(8) (2009) 1-108.
-
(2009)
J. Log. Anal.
, vol.1
, Issue.8
, pp. 1-108
-
-
-
10
-
-
78649767003
-
Relative set theory: Some external issues
-
-, Relative set theory: Some external issues (to appear in J. Log. Anal.).
-
Appear in J. Log. Anal.
-
-
-
13
-
-
0004037519
-
-
2nd ed., Prindle, Weber and Schmidt, Boston
-
H. J. Keisler, Elementary Calculus: An Infinitesimal Approach, 2nd ed., Prindle, Weber and Schmidt, Boston, 1985, available at http://www.math.wisc.edu/ ~keisler/calc.html.
-
(1985)
Elementary Calculus: An Infinitesimal Approach
-
-
Keisler, H.J.1
-
14
-
-
84956085576
-
Internal set theory: A new approach to Nonstandard Analysis
-
doi: 10.1090/S0002-9904-1977-14398-X
-
E. Nelson, Internal set theory: A new approach to Nonstandard Analysis, Bull. Amer. Math. Soc. 83 (1977) 1165-1198. doi: 10.1090/S0002-9904-1977-14398-X
-
(1977)
Bull. Amer. Math. Soc.
, vol.83
, pp. 1165-1198
-
-
Nelson, E.1
-
15
-
-
78649799873
-
Pre-university analysis
-
I. van den Berg and V. Neves, eds., Springer-Verlag, Berlin
-
R. O'Donovan, Pre-university analysis, in The Strength of Nonstandard Analysis, I. van den Berg and V. Neves, eds., Springer-Verlag, Berlin, 2007, 395-401.
-
(2007)
The Strength of Nonstandard Analysis
, pp. 395-401
-
-
O'Donovan, R.1
-
16
-
-
85012880603
-
Teaching analysis with ultrasmall numbers
-
-, Teaching analysis with ultrasmall numbers, Mathematics Teaching-Research Journal Online 3(3) (2009) 1-22, available at http://www.hostos.cuny.edu/departments/math/mtrj/archives/volume3/issue3/ Donovan.pdf.
-
(2009)
Mathematics Teaching-Research Journal Online
, vol.3
, Issue.3
, pp. 1-22
-
-
-
17
-
-
84972558156
-
Théorie relative des ensembles internes
-
Y. Péraire, Théorie relative des ensembles internes, Osaka J. Math. 29 (1992) 267-297.
-
(1992)
Osaka J. Math.
, vol.29
, pp. 267-297
-
-
Péraire, Y.1
-
18
-
-
0004232766
-
-
Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam
-
A. Robinson, Non-standard Analysis, Studies in Logic and the Foundations of Mathematics, North-Holland, Amsterdam, 1966.
-
(1966)
Non-standard Analysis
-
-
Robinson, A.1
|