A primer of infinitesimal analysis second edition

A Primer of Infinitesimal Analysis Second Edition

Volumn 9780521887182, Issue , 2008, Pages 1-124

  Bell, John ^a  

^a UNIVERSITY OF WESTERN ONTARIO   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84925166575     PISSN: None     EISSN: None     Source Type: Book    
DOI: 10.1017/CBO9780511619625     Document Type: Book

References (50)

1. Aristotle (1980). Physics, Vol. II. Cambridge, MA: Harvard University Press.
2. Banach, S. (1951). Mechanics (trans. E. J. Scott). Warszawa: PWN.
3. Baron, M. E. (1969). The Origins of the Infinitesimal Calculus. Oxford: Pergamon Press.
4. Barr, M. and Wells, C. (1985). Toposes, Triples and Theories. Berlin: Springer-Verlag.
5. Bell, J. L. (1986). From absolute to local mathematics. Synthese, 69, 409–26.
6. Bell, J. L. (1988a). Infinitesimals. Synthese, 75, 285–315.
7. Bell, J. L. (1988b). Toposes and Local Set Theories. Oxford: Clarendon Press.
8. Bell, J. L. (1995). Infinitesimals and the continuum. Mathematical Intelligencer, 17(2), 55–7.
9. Bell, J. L. and Machover, M. (1977). A Course in Mathematical Logic. Amsterdam: North-Holland.
10. Bell, J. L. (2005a). The Continuous and the Infinitesimai in Mathematics and Philosophy. Milano: Polimetrica.
11. Bell, J. L. (2005b). Continuity and Infinitesimals. Stanford Encyclopedia of Philosophy.
12. Boyer, C. B. (1959). The History of the Calculus and its Conceptual Development. New York: Dover.
13. Brouwer, L. E. J. (1964). Intuitionism and formalism. In Philosophy of Mathematics, Selected Readings, eds P. Benacerraf and H. Putnam. Oxford: Blackwell.
14. Cascuberta, C. and Castellet, M., eds (1992). Mathematical Research Today and Tomorrow: Viewpoints of Six Fields Medallists. Berlin: Springer-Verlag.
15. Courant, R. (1942). Differential and Integral Calculus. London: Blackie.
16. Dubuc, E. (1979). Sur les modeles de la geometrie differentielle synthetique. Cahiers de Topologie et Geometrie Differentielle, XX-3, 231–79.
17. Dummett, M. (1977). Elements of Intuitionism. Oxford: Clarendon Press.
18. Freyd, P. J. and Scedrov, A. (1990). Categories, Allegories. Amsterdam: North-Holland.
19. Gibson, G. (1944). An Introduction to the Calculus. London: Macmillan.
20. Goldblatt, R. I. (1979). Topoi: The Categorial Analysis of Logic. Amsterdam: North-Holland.
21. Heyting, A. (1971). Intuitionism: An Introduction. Amsterdam: North-Holland.
22. Hohn, F. E. (1972). Introduction to Linear Algebra. New York: Macmillan.
23. Johnstone, P. T. (1979). Topos Theory. London: Academic Press.
24. Kant, I. (1964). Critique of Pure Reason. New York: Macmillan.
25. Kleene, S. C. (1952). Introduction to Metamathematics. Amsterdam: North-Holland and New York: Van Nostrand.
26. Kock, A. (1977). A simple axiomatics for differentiation. Mathematica Scandinavica, 40, 183–93.
27. Kock, A. (1981). Synthetic Differential Geometry. Cambridge: Cambridge University Press. (Second edition, 2006)
28. Lambek, J. and Scott, P. J. (1986). Introduction to Higher-Order Categorical Logic. Cambridge: Cambridge University Press.
29. Lavendhomme, R. (1987). Lecons de Geometrie Synthetique Differentielle Naive. Louvain-La-Neuve: Institut de Mathematique.
30. Lavendhomme, R. (1996). Basic Concepts of Synthetic Differential Geometry. Dordrecht: Kluwer.
31. Lawvere, F.W. (1979). Categorical dynamics. In Topos Theoretic Methods in Geometry, Aarhus Math. Inst. Var. Publ. series 30.
32. Lawvere, F. W. (1980). Toward the description in a smooth topos of the dynamically possible motions and deformations of a continuous body. Cahiers de Topologie etGeometrie Diff´eentielle, 21, 377–92.
33. Lawvere, F.W. and Schanuel, S. (1997). Conceptual Mathematics: A First Introduction to Categories. Cambridge University Press.
34. Mac Lane, S. (1971). Categories for the Working Mathematician. New York: Springer-Verlag.
35. Mac Lane, S. and Moerdijk, I. (1992). Sheaves in Geometry and Logic: A First Introduction to Topos Theory. New York: Springer-Verlag.
36. McLarty, C. (1988). Defining sets as sets of points of spaces. Journal of Philosophical Logic, 17, 75–90.
37. McLarty, C. (1992). Elementary Categories, Elementary Toposes. Oxford: Clarendon Press.
38. Misner, C., Thorne, K., and Wheeler, J. (1972). Gravitation. Freeman.
39. Moerdijk, I. and Reyes, G. E. (1991). Models for Smooth Infinitesimal Analysis. New York: Springer-Verlag.
40. Peirce, C. S. (1976). The New Elements of Mathematics, Vol. III, ed. C. Eisele. Atlantic Highlands, NJ: Humanities Press.
41. Rescher, N. (1967). The Philosophy of Leibniz. Englewood Cliffs, NJ: Prentice-Hall.
42. Robinson, A. (1966). Non-Standard Analysis. Amsterdam: North-Holland.
43. Russell, B. (1937). The Principles of Mathematics, 2nd edn. London: George Allen and Unwin Ltd.
44. Spivak, M. (1979). Differential Geometry, 2nd edn. Berkeley: Publish or Perish.
45. Van Dalen, D. (1995). HermannWeyl's intuitionistic mathematics. Bulletin of SymbolicLogic, 1(2), 145–69.
46. Wagon, S. (1985). The Banach–Tarski Paradox. Cambridge: Cambridge University Press.
47. Weyl, H. (1921). Uber die neue Grundlagenkrise der Mathematik. MathematischeZeitschrift, 10, 39–79.
48. Weyl, H. (1922). Space–Time–Matter. New York: Dover.
49. Weyl, H. (1940). The ghost of modality. In Philosophical Essays in Memory of EdmundHusserl. Cambridge, MA: Harvard University Press.
50. Weyl, H. (1987). The Continuum: A Critical Examination of the Foundation of Analysis (transl. S. Pollard and T. Bole). Philadelphia: Thomas Jefferson University Press.