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1

Kress, Rainer. Numerical analysis. Springer, 1998.

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2

Karniadakis, George Em, ed. Numerical Methods. De Gruyter, 2019. http://dx.doi.org/10.1515/9783110571684.

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3

Iyengar, S. R. K. Numerical methods. New Age International (P) Ltd., Publishers, 2009.

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4

Shevchenko, Alesya. Numerical methods. INFRA-M Academic Publishing LLC., 2021. http://dx.doi.org/10.12737/996207.

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The textbook describes the basics of numerical methods for solving problems of mathematical analysis, linear algebra and ordinary differential equations. Considerable attention is paid to the issues of algorithmization of methods. It can be used when performing laboratory, course, final qualification and research works. Each topic contains a theoretical justification and a large number of examples of solving practical problems using the Maple mathematical package.
 Meets the requirements of the federal state educational standards of higher education of the latest generation.
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5

Pagès, Gilles. Numerical Probability. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-90276-0.

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6

Joyce, Philip. Numerical C. Apress, 2019. http://dx.doi.org/10.1007/978-1-4842-5064-8.

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7

Hämmerlin, Günther, and Karl-Heinz Hoffman. Numerical Mathematics. Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4612-4442-4.

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8

Kress, Rainer. Numerical Analysis. Springer New York, 1998. http://dx.doi.org/10.1007/978-1-4612-0599-9.

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9

Hennart, Jean-Pierre, ed. Numerical Analysis. Springer Berlin Heidelberg, 1986. http://dx.doi.org/10.1007/bfb0072666.

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10

Tanguy, Jean-Michel, ed. Numerical Methods. John Wiley & Sons, Inc., 2010. http://dx.doi.org/10.1002/9781118557877.

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11

Quarteroni, Alfio, Riccardo Sacco, and Fausto Saleri. Numerical Mathematics. Springer New York, 2007. http://dx.doi.org/10.1007/978-0-387-22750-4.

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12

Gautschi, Walter. Numerical Analysis. Birkhäuser Boston, 2012. http://dx.doi.org/10.1007/978-0-8176-8259-0.

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13

Miyama, Shoken M., Kohji Tomisaka, and Tomoyuki Hanawa, eds. Numerical Astrophysics. Springer Netherlands, 1999. http://dx.doi.org/10.1007/978-94-011-4780-4.

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14

Jacques, Ian, and Colin Judd. Numerical Analysis. Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3157-2.

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15

Rosales, J. C., and P. A. García-Sánchez. Numerical Semigroups. Springer New York, 2009. http://dx.doi.org/10.1007/978-1-4419-0160-6.

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16

Keast, Patrick, and Graeme Fairweather, eds. Numerical Integration. Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-009-3889-2.

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17

Barucci, Valentina, Scott Chapman, Marco D'Anna, and Ralf Fröberg, eds. Numerical Semigroups. Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-40822-0.

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18

Espelid, Terje O., and Alan Genz, eds. Numerical Integration. Springer Netherlands, 1992. http://dx.doi.org/10.1007/978-94-011-2646-5.

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19

Johansson, Robert. Numerical Python. Apress, 2019. http://dx.doi.org/10.1007/978-1-4842-4246-9.

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20

Gustafson, Karl E., and Duggirala K. M. Rao. Numerical Range. Springer New York, 1997. http://dx.doi.org/10.1007/978-1-4613-8498-4.

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21

Johansson, Robert. Numerical Python. Apress, 2015. http://dx.doi.org/10.1007/978-1-4842-0553-2.

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22

Nocedal, Jorge, and Stephen J. Wright, eds. Numerical Optimization. Springer-Verlag, 1999. http://dx.doi.org/10.1007/b98874.

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23

Quarteroni, Alfio, Riccardo Sacco, and Fausto Saleri. Numerical Mathematics. Springer New York, 2007. http://dx.doi.org/10.1007/b98885.

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24

Jacques, Ian, and Colin Judd. Numerical Analysis. Springer Netherlands, 1987. http://dx.doi.org/10.1007/978-94-017-5471-2.

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25

Mucina, L., and M. B. Dale, eds. Numerical syntaxonomy. Springer Netherlands, 1989. http://dx.doi.org/10.1007/978-94-009-2432-1.

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26

Bonnans, J. Frédéric, J. Charles Gilbert, Claude Lemaréchal, and Claudia A. Sagastizábal. Numerical Optimization. Springer Berlin Heidelberg, 2003. http://dx.doi.org/10.1007/978-3-662-05078-1.

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27

Dervieux, Alain, and Bernard Larrouturou, eds. Numerical Combustion. Springer Berlin Heidelberg, 1989. http://dx.doi.org/10.1007/3-540-51968-8.

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28

Turner, Peter R. Numerical Analysis. Macmillan Education UK, 1994. http://dx.doi.org/10.1007/978-1-349-13108-2.

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29

Volkov, E. A. Numerical metods. Mir, 1990.

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30

Locker, John. Numerical trigonometry. Davies Group, 1994.

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31

Hämmerlin, G. Numerical mathematics. Springer-Verlag, 1991.

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32

Nocedal, Jorge. Numerical optimization. Springer, 1999.

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33

Stanislas, Dehaene, ed. Numerical cognition. Blackwell, 1993.

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34

Douglas, Faires J., ed. Numerical analysis. 7th ed. Brooks/Cole, 2001.

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35

service), SpringerLink (Online, ed. Numerical Analysis. Springer Science+Business Media, LLC, 2012.

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36

Douglas, Faires J., ed. Numerical analysis. 4th ed. PWS-KENT Pub. Co., 1989.

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37

L, Burden Richard, ed. Numerical methods. 3rd ed. Brooks/Cole-Thomson Learning, 1998.

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38

R, Piessens, and Mori Masatake, eds. Numerical quadrature. North-Holland, 1987.

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39

L, Burden Richard, ed. Numerical methods. 2nd ed. Brooks/Cole Pub. Co., 1998.

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40

1952-, Judd Colin, ed. Numerical analysis. Chapman and Hall, 1987.

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41

Louis, Legendre, Legendre Louis, and Legendre Louis, eds. Numerical ecology. 2nd ed. Elsevier, 1998.

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42

Volkov, E. A. Numerical methods. Mir Publishers Moscow, 1990.

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43

Volkov, E. A. Numerical methods. Hemisphere Pub. Corp., 1990.

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44

Boehm, Wolfgang. Numerical Methods. Taylor & Francis Group, 2020.

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45

Blanc, Ch, P. Henrici, John Todd, and A. Ghizzetti. Numerical Analysis. Elsevier Science & Technology Books, 2014.

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46

Blanc, Ch, P. Henrici, John Todd, and A. Ghizzetti. Numerical Algebra. Elsevier Science & Technology Books, 2014.

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47

Jacques, Ian. Numerical Analysis. Springer, 2011.

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48

Hämmerlin, Günther, Karl-Heinz Hoffmann, and Larry L. Schumaker. Numerical Mathematics. Springer, 2012.

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49

Felsenstein, Joseph. Numerical Taxonomy. Springer London, Limited, 2013.

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50

Boudreau, Joseph F., and Eric S. Swanson. Numerical quadrature. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198708636.003.0005.

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This chapter discusses the numerous applications of numerical quadrature (integration) in classical mechanics, in semiclassical approaches to quantum mechanics, and in statistical mechanics; and then describes several ways of implementing integration in C++, for both proper and improper integrals. Various algorithms are described and analyzed, including simple classical quadrature algorithms as well as those enhanced with speedups and convergence tests. Classical orthogonal polynomials, whose properties are reviewed, are the basis of a sophisticated technique known as Gaussian integration. Pra
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