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Books on the topic 'Analisi infinitesimale'

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Published: 26 July 2024

Last updated: 27 July 2024

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1

R, Manfredi. Moduli di lineamenti di matematica - Modulo F: Analisi infinitesimale (seconda parte). Novara, Italy: Ghisetti & Corvi Editori, 2009.

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2

U, Bottazzini, Freguglia Paolo, and Toti Rigatelli Laura 1941-, eds. Fonti per la storia della matematica: Aritmetica, geometria, algebra, analisi infinitesimale, calcolo delle probabilità, logica. Firenze: Sansoni, 1992.

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3

Manuel, Bayod José, ed. Foundations of infinitesimal stochastic analysis. Amsterdam: North-Holland, 1986.

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4

Bell, J. L. A primer of infinitesimal analysis. 2nd ed. Cambridge: Cambridge University Press, 2008.

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5

L, Bell J. A primer of infinitesimal analysis. Cambridge, [Eng.]: Cambridge University Press, 1998.

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6

Moerdijk, Ieke. Models for smooth infinitesimal analysis. New York: Springer-Verlag, 1991.

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7

Real analysis through modern infinitesimals. Cambridge: Cambridge University Press, 2011.

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8

Pinto, J. Sousa. Infinitesimal methods of mathematical analysis. Chichester, West Sussex: Horwood, 2004.

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9

Herzberg, Frederik. Stochastic Calculus with Infinitesimals. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013.

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10

Blatner, David. Spectrums: Our mind-boggling universe, from infinitesimal to infinity. London: Bloomsbury, 2013.

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11

Blatner, David. Spectrums: Our mindboggling universe from infinitesimal to infinity. New York: Walker & Co., 2012.

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12

author, Gutlyanskii Vladimir, Martio O. (Olli) author, and Ryazanov Vladimir author, eds. Infinitesimal geometry of quasiconformal and bi-Lipschitz mappings in the plane. Zürich, Switzerland: European Mathematical Society Publishing House, 2013.

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13

Calculus: A complete course. 4th ed. Don Mills, Ont: Addison-Wesley, 1999.

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14

Adams, Robert A. Calculus: A complete course. Don Mills, Ont: Addison-Wesley, 1991.

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15

Grossman, Stanley I. Calculus. 4th ed. San Diego: Harcourt Brace Jovanovich, 1988.

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16

Grossman, Stanley I. Calculus. 4th ed. San Diego: Harcourt Brace Jovanovich, 1988.

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17

Flanders, Harley. Calculus: A lab course with MicroCalc. New York: Springer, 1996.

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18

Anton, Howard. Calculus with analytic geometry: Brief edition. 5th ed. New York: Wiley, 1995.

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19

Anton, Howard. Calculus with analytic geometry. 5th ed. Chichester: Wiley, 1995.

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20

Anton, Howard. Calculus with analytic geometry. 5th ed. New York: Wiley, 1995.

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21

Anton, Howard. Calculus with analyticgeometry. 4th ed. New York: Wiley, 1992.

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22

Anton, Howard. Calculus with analytic geometry. 3rd ed. New York: Wiley, 1988.

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23

Anton, Howard. Calculus with analytic geometry. 4th ed. New York: Wiley, 1992.

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24

Anton, Howard. Calculus with analytic geometry. 3rd ed. New York: Wiley, 1989.

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25

Anton, Howard. Calculus with analytic geometry. 3rd ed. Chichester: Wiley, 1988.

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26

Anton, Howard. Calculus with analytic geometry. 3rd ed. New York: Wiley, 1988.

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27

Anton, Howard. Calculus with analytic geometry. 4th ed. New York: Wiley, 1992.

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28

Anton, Howard. Calculus with analytic geometry. 5th ed. New York: Wiley, 1995.

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29

Albert, Herr, ed. Calculus with analytic geometry. 5th ed. Chichester: Wiley, 1995.

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30

Li, Weiping, and Shihshu Walter Wei. Geometry and topology of submanifolds and currents: 2013 Midwest Geometry Conference, October 19, 2013, Oklahoma State University, Stillwater, Oklahoma : 2012 Midwest Geometry Conference, May 12-13, 2012, University of Oklahoma, Norman, Oklahoma. Providence, Rhode Island: American Mathematical Society, 2015.

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31

Lezioni di analisi infinitesimale. Pisa: Nistri, 1991.

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32

Corso di analisi algebrica con introduzione al calcolo infinitesimale. Torine: Bocca, 1991.

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33

Moduli di lineamenti di matematica - Modulo D: Analisi infinitesimale (prima parte). Novara, Italy: Ghisetti & Corvi Editori, 2009.

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34

Leibniz, Gottfried Wilhelm. Analisis Infinitesimal. Tecnos, 2000.

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35

Gordon, E. I., S. S. Kutateladze, and A. G. Kusraev. Infinitesimal Analysis. Springer London, Limited, 2010.

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36

Gordon, E. I., A. G. Kusraev, and Semën Samsonovich Kutateladze. Infinitesimal Analysis. Springer, 2013.

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37

L, Bell J. Primer of Infinitesimal Analysis. Cambridge University Press, 2008.

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38

Stewart, Ian. Infinity: A Very Short Introduction. Oxford University Press, 2017. http://dx.doi.org/10.1093/actrade/9780198755234.001.0001.

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Infinity has connections to philosophy, religion, and physics as well as mathematics. The infinitely large (infinite) is intimately related to the infinitely small (infinitesimal). Infinity: A Very Short Introduction explains the mathematical concept of infinity, its different forms, and its uses in calculus, Fourier analysis, and fractals, and also describes the philosophical aspects and debates involving infinity. It argues that working with infinity is not just an abstract, intellectual exercise, but that it is instead a concept with important practical everyday applications, and considers how mathematicians use infinity and infinitesimals to answer questions or supply techniques that do not appear to involve the infinite.

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39

Bell, John L. Primer of Infinitesimal Analysis. Cambridge University Press, 2008.

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40

Bell, John L. Primer of Infinitesimal Analysis. Cambridge University Press, 2008.

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41

Bell, John L. Primer of Infinitesimal Analysis. Cambridge University Press, 2008.

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42

Stroyan, K. D., and J. M. Bayod. Foundations of Infinitesimal Stochastic Analysis. Elsevier Science & Technology Books, 2011.

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43

Moerdijk, Ieke, and Gonzalo E. Reyes. Models for Smooth Infinitesimal Analysis. Springer New York, 2010.

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44

Moerdijk, Ieke, and Gonzalo E. Reyes. Models for Smooth Infinitesimal Analysis. Springer London, Limited, 2013.

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45

Kutateladze, S. S., E. I. Gordon, and A. G. Kusraev. Infinitesimal Analysis (Mathematics and Its Applications). Springer, 2002.

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46

Lezioni di Matematica -Programma triennio scuole superiori, vol.2-. Autopubblicato, 2023.

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47

Button, Tim, and Sean Walsh. Compactness, infinitesimals, and the reals. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198790396.003.0004.

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One of the most famous philosophical applications of model theory is Robinson’s attempt to salvage infinitesimals. Infinitesimals are quantities whose absolute value is smaller than that of any given positive real number. Robinson used his non-standard analysis to formalize and vindicate the Leibnizian approach to the calculus. Against this, the historian Bos has questioned whether the infinitesimals of Robinson's non-standard analysis have the same structure as those of Leibniz. We offer a response to Bos, by building valuations into Robinson's non-standard analysis. This chapter also introduces some related discussions of independent interest (compactness, instrumentalism, and o-minimality) and contains a proof of The Compactness Theorem and Gödel’s Completeness Theorem.

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48

Spectrums: Our Mind-Boggling Universe from Infinitesimal to Infinity. Bloomsbury Publishing Plc, 2013.

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49

Spectrums: Our Mind-Boggling Universe from Infinitesimal to Infinity. Bloomsbury Publishing Plc, 2013.

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50

Spectrums: Our Mind-Boggling Universe from Infinitesimal to Infinity. Bloomsbury Publishing USA, 2014.

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