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1

Dunnington, Waldo, and Jeremy Gray. Gauss. Providence, Rhode Island: American Mathematical Society, 2002. http://dx.doi.org/10.1090/spec/041.

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2

Bühler, Walter K. Gauss. Berlin, Heidelberg: Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/978-3-642-51443-2.

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3

Baumann-Glavočić, Daina. Ladislao de Gauss. Rijeka: Biblioteka Društva povjesničara umjetnosti Rijeke, Istre i Hrvatskog primorja, 2010.

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4

Tasker, Stephen. The Gauss factor. Lewes: Book Guild, 1997.

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5

Inc, Aptech Systems. GAUSS user guide. Maple Valley, WA: Aptech Systems, 2001.

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6

West, Krista. Carl Friedrich Gauss. Greensboro, N.C: Morgan Reynolds Pub., 2008.

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7

Iwasaki, Katsunori, Hironobu Kimura, Shun Shimomura, and Masaaki Yoshida. From Gauss to Painlevé. Wiesbaden: Vieweg+Teubner Verlag, 1991. http://dx.doi.org/10.1007/978-3-322-90163-7.

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8

Lelgemann, Dieter. Gauss und die Messkunst. [Darmstadt]: Primus, 2011.

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9

J, Evans Ronald, and Williams Kenneth S, eds. Gauss and Jacobi sums. New York: Wiley, 1998.

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10

Valhondo, José Luis. La Campana de Gauss. [Badajoz]: Diputación de Badajoz. Departamento de Publicaciones, 1999.

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11

Gauss, Carl Friedrich. Gauss' Werke in Kurzfassung. Augsburg: Rauner, 2002.

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12

Evans, Michael J. Sampling from Gauss rules. Toronto: University of Toronto, Dept. of Statistics., 1985.

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13

Tesio, Silvia. Piacere, io sono Gauss: Romanzo. Milano: Mondadori, 2012.

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14

Schmidt, Ingrid. Polarschiffe: Wostok, Mirny, Grönland, Fram, Gauss. Bielefeld: Delius Klasing, 1988.

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15

Gauss, Carl Friedrich. Carl Friedrich Gauss--Wolfgang Bolyai Briefwechsel. Hildesheim: G. Olms, 1987.

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16

1947-, Gray Jeremy, and Dohse Fritz-Egbert, eds. Carl Friedrich Gauss: Titan of science. [Washington, DC]: Mathematical Association of America, 2004.

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17

1777-1855, Gauss Carl Friedrich, and Rassias George M. 1953-, eds. The Mathematical heritage of C.F. Gauss: A collection of papers in memory of C.F. Gauss. Singapore: World Scientific, 1991.

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18

Fiedler, Thomas. Gauss diagram invariants for knots and links. Dordrecht: Kluwer Academic Publishers, 2001.

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19

Pham, Frédéric. Singularités des systèmes différentiels de Gauss-Manin. Boston, MA: Springer US, 1995. http://dx.doi.org/10.1007/978-1-4757-1457-9.

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20

Fiedler, Thomas. Gauss Diagram Invariants for Knots and Links. Dordrecht: Springer Netherlands, 2001. http://dx.doi.org/10.1007/978-94-015-9785-2.

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21

Fiedler, Thomas. Gauss Diagram Invariants for Knots and Links. Dordrecht: Springer Netherlands, 2001.

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22

Katz, Nicholas M. Gauss sums, Kloosterman sums, and monodromy groups. Princeton, N.J: Princeton University Press, 1988.

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23

Levitt, Norman. Grassmannians and Gauss Maps in Piecewise-linear Topology. Berlin, Heidelberg: Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/bfb0084994.

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24

Akivis, Maks A., and Vladislav V. Goldberg. Differential Geometry of Varieties with Degenerate Gauss Maps. New York, NY: Springer New York, 2004. http://dx.doi.org/10.1007/b97221.

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25

Phillips, George M. Two Millennia of Mathematics: From Archimedes to Gauss. New York, NY: Springer New York, 2000.

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26

Swartz, Timothy B. Evaluating multidimensional integrals via sampling from Gauss rules. Toronto: [s.n.], 1986.

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27

Almeida, Sebastião Carneiro de. Minimal hypersurfaces of S⁴ with constant Gauss-Kroenecker curvature. Recife, Brasil: Universidade Federal de Pernambuco, Centro de Ciências Exatas e da Natureza, Departamento de Matemática, 1985.

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28

Lyth, Duncan Aidan Pinder. Supports and densities of gauss measures on lie groups. Manchester: University of Manchester, 1993.

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29

Biegel, Gerd. Carl Friedrich Gauss: Genie aus Braunschweig, Professor in Göttingen. Braunschweig: Meyer, 2005.

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30

Bühler, Walter K. Gauss. Springer, 2012.

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31

Gauss: Eine Biographie. 2nd ed. Reinbek bei Hamburg: Rowohlt, 2008.

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32

Gauss: A Memorial. Creative Media Partners, LLC, 2022.

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33

Herrera, Ashley. Little Farmer Gauss. Blurb, 2022.

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34

Bühler, W. K. Gauss: A Biographical Study. Springer London, Limited, 2012.

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35

Judge, George G., Helmut Lütkepohl, Tsoung-Chao Lee, William Griffith, and Helmut Lutkepohl. Learning Econometrics Using GAUSS. 2nd ed. Wiley, 1989.

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36

Williams, Kenneth S., Ronald J. Evans, and Bruce C. Berndt. Gauss and Jacobi Sums. Wiley & Sons, Incorporated, John, 2011.

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37

Williams, Kenneth S., Ronald J. Evans, and Bruce C. Berndt. Gauss and Jacobi Sums. Wiley & Sons, Incorporated, John, 2011.

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38

Hathout, Dean. Wearing Gauss¿s Jersey. Taylor & Francis Group, 2019.

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39

Gauss les Deux Bolyai. Creative Media Partners, LLC, 2018.

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40

Schlittgen, Rainer. GAUSS für statistische Berechnungen. Oldenbourg, 2001.

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41

Bühler, W. K. Gauss: A Biographical Study. Springer-Verlag New York, Inc., 2012.

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42

Gauss: Eine bibliographische Studie. Berlin: Springer, 1987.

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43

Gauss: Eine Biographische Studie. Springer London, Limited, 2013.

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44

Gauss: A Biographical Study. Springer, 1987.

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45

Gauss, Carl Friedrich. Briefwechsel Zwischen Gauss Und Bessel. Kessinger Publishing, 2010.

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46

Dunnington, G. Waldo. Gauss: Titan of Science (Spectrum). The Mathematical Association of America, 2004.

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47

Czermak, Paul. Reductionstabellen Zur Gauss-Poggendorff'schen Spiegelablesung. Springer London, Limited, 2013.

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48

Carl Friedrich Gauss, 1777-1855. 2nd ed. Gräfelfing vor München: Moos, 1985.

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49

Succi, Sauro. The Hermite–Gauss Route to LBE. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780199592357.003.0015.

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This chapter describes the side-up approach to Lattice Boltzmann, namely the formal derivation from the continuum Boltzmann-(BGK) equation via Hermite projection and subsequent evaluation of the kinetic moments via Gauss–Hermite quadrature. From a slightly different angle, one may also interpret the Gauss–Hermite quadrature as an optimal sampling of velocity space, or, better still, an exact sampling of the bulk of the distribution function, the one contributing most to the lowest order kinetic moments (frequent events). Capturing higher–order moments, beyond hydrodynamics (rare events), requires an increasing number of nodes and weights.
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50

Tent, M. B. W. Prince of Mathematics: Carl Friedrich Gauss. A K Peters Ltd, 2006.

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