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1

Davis, Julian L. Introduction to dynamics of continuous media. New York: Macmillan, 1987.

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2

Computational continuum mechanics. 2nd ed. Cambridge: Cambridge University Press, 2012.

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3

Alain, Miranville, ed. Mathematical modeling in continuum mechanics. 2nd ed. Cambridge: Cambridge University Press, 2005.

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4

Temam, Roger. Mathematical modeling in continuum mechanics. Cambridge, UK: Cambridge University Press, 2001.

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5

Shah, Suril Vijaykumar. Dynamics of Tree-Type Robotic Systems. Dordrecht: Springer Netherlands, 2013.

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6

Chorin, Alexandre J. Stochastic Tools in Mathematics and Science. 3rd ed. New York, NY: Springer New York, 2013.

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7

B, Gatski Thomas, and SpringerLink (Online service), eds. Mathematical Modeling for Complex Fluids and Flows. Berlin, Heidelberg: Springer Berlin Heidelberg, 2012.

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8

1934-, Taylor Robert L., ed. The finite element method for solid and structural mechanics. 6th ed. Amsterdam: Elsevier Butterworth-Heinemann, 2005.

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9

Aldo, Frediani, and SpringerLink (Online service), eds. Variational Analysis and Aerospace Engineering: Mathematical Challenges for Aerospace Design: Contributions from a Workshop held at the School of Mathematics in Erice, Italy. Boston, MA: Springer US, 2012.

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10

Awrejcewicz, Jan. Nonlinear Dynamics of Continuous Elastic Systems. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004.

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11

Eisfeld, Bernhard. Management and Minimisation of Uncertainties and Errors in Numerical Aerodynamics: Results of the German collaborative project MUNA. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013.

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12

Gumel, Abba, ed. Mathematics of Continuous and Discrete Dynamical Systems. Providence, Rhode Island: American Mathematical Society, 2014. http://dx.doi.org/10.1090/conm/618.

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13

Griffiths, H. Brian. Mathematics of models: Continuous and discrete dynamical systems. New York: E. Horwood, 1993.

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14

service), SpringerLink (Online, ed. Mechanical Systems, Classical Models: Volume II: Mechanics of Discrete and Continuous Systems. Dordrecht: Springer Science+Business Media B.V., 2009.

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15

E. W. C. van Groesen. Mathematical structures in continuous dynamical systems: Poisson systems and complete integrability with applications from fluid dynamics. Amsterdam, The Netherlands: North-Holland, 1994.

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16

(Brian), Straughan B., and Conference on New Trends in Fluid and Solid Models (2008 : Italy), eds. New trends in fluid and solid models: Proceedings of the international conference in honour of Brian Straughan, Vietri sul Mare (SA), Italy, 28 February-1 March 2008. Singapore: World Scientific, 2010.

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17

Structures under crash and impact: Continuum mechanics, discretization and experimental characterization. New York: Springer, 2008.

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18

K, Kar S., ed. Continuous time dynamical systems: State estimation and optimal control with orthogonal functions. Boca Raton: CRC Press, 2013.

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19

NATO Advanced Research Workshop on Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems (1989 Streitberg, Wiesenttal, Germany). Nonlinear evolution of spatio-temporal structures in dissipative continuous systems. New York: Plenum Press, 1990.

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20

Faig, Miquel. A note on the differentiability of the value function in continuous time dynamic models. Toronto: Dept. of Economics and Institute for Policy Analysis, University of Toronto, 1991.

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21

1939-, Beiglböck W., Eckmann Jean Pierre, Grosse Harald 1944-, Loss Michael 1954-, Smirnov S, Takhtadzhi͡an, L. A. (Leon Armenovich), Jakob Yngvason, and SpringerLink (Online service), eds. Scaling Limits in Statistical Mechanics and Microstructures in Continuum Mechanics. Berlin, Heidelberg: Springer Berlin Heidelberg, 2009.

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22

Fečkan, Michal. Bifurcation and Chaos in Discontinuous and Continuous Systems. Berlin, Heidelberg: Springer-Verlag Berlin Heidelberg, 2011.

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23

Z, Sagdeev R., ed. Nonlinear dynamics of structures: International Symposium on Generation of Large-Scale Structures in Continuous Media, Perm-Moscow, USSR, 11-20 June, 1990. Singapore: World Scientific, 1991.

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24

Anderson, W. Kyle. Aerodynamic design optimization on unstructured grids with a continuous adjoint formulation. Hampton, Va: National Aeronautics and Space Administration, Langley Research Center, 1997.

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25

Costa, Oswaldo L. V. Continuous-Time Markov Jump Linear Systems. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013.

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26

Tartar, Luc. From hyperbolic systems to kinetic theory: A personalized quest. Berlin: Springer, 2008.

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27

International Workshop on Localisation and Bifurcation Theory for Soils and Rocks (4th 1997 Gifu, Japan). Localization and bifurcation theory for soils and rocks: Proceedings of the Fourth International Workshop on Localization and Bifurcation Theory for Soils and Rocks, Gifu, Japan, 28 September-2 October, 1997. Rotterdam: A.A. Balkema, 1998.

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28

Koli︠a︡da, S. F. Dynamics and numbers: A special program, June 1-July 31, 2014, Max Planck Institute for Mathematics, Bonn, Germany : international conference, July 21-25, 2014, Max Planck Institute for Mathematics, Bonn, Germany. Edited by Max-Planck-Institut für Mathematik. Providence, Rhode Island: American Mathematical Society, 2016.

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29

Introduction to dynamics ofcontinuous media. Macmillan, 1987.

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30

D, Besdo, Bogacz Roman, and Mahrenholtz Oskar, eds. Dynamics of continua: International symposium. Aachen: Shaker, 1998.

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31

Miranville, Alain, and Roger Temam. Mathematical Modeling in Continuum Mechanics. Cambridge University Press, 2000.

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32

Dutt, Jayanta Kumar, Suril Vijaykumar Shah, and Subir Kumar Saha. Dynamics of Tree-Type Robotic Systems. Springer, 2012.

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33

Chorin, Alexandre J., and Ole H. Hald. Stochastic Tools in Mathematics and Science. Springer, 2013.

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34

Chorin, Alexandre J., and Ole H. Hald. Stochastic Tools in Mathematics and Science. Springer, 2013.

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35

Chorin, Alexandre J. Stochastic Tools in Mathematics and Science. Springer, 2015.

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36

Zienkiewicz, O. C., R. L. Taylor, and D. D. Fox. Finite Element Method for Solid and Structural Mechanics. Elsevier Science & Technology Books, 2013.

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37

1951-, West Thelma, ed. Continuum theory and dynamical systems. New York: M. Dekker, 1993.

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38

Björk, Tomas. Arbitrage Theory in Continuous Time. Oxford University Press, 2019. http://dx.doi.org/10.1093/oso/9780198851615.001.0001.

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The fourth edition of this textbook on pricing and hedging of financial derivatives, now also including dynamic equilibrium theory, continues to combine sound mathematical principles with economic applications. Concentrating on the probabilistic theory of continuous time arbitrage pricing of financial derivatives, including stochastic optimal control theory and optimal stopping theory, the book is designed for graduate students in economics and mathematics, and combines the necessary mathematical background with a solid economic focus. It includes a solved example for every new technique presented, contains numerous exercises, and suggests further reading in each chapter. All concepts and ideas are discussed, not only from a mathematics point of view, but the mathematical theory is also always supplemented with lots of intuitive economic arguments. In the substantially extended fourth edition Tomas Björk has added completely new chapters on incomplete markets, treating such topics as the Esscher transform, the minimal martingale measure, f-divergences, optimal investment theory for incomplete markets, and good deal bounds. There is also an entirely new part of the book presenting dynamic equilibrium theory. This includes several chapters on unit net supply endowments models, and the Cox–Ingersoll–Ross equilibrium factor model (including the CIR equilibrium interest rate model). Providing two full treatments of arbitrage theory—the classical delta hedging approach and the modern martingale approach—the book is written in such a way that these approaches can be studied independently of each other, thus providing the less mathematically oriented reader with a self-contained introduction to arbitrage theory and equilibrium theory, while at the same time allowing the more advanced student to see the full theory in action.
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39

Continuous Time Dynamical Systems. Taylor & Francis Group, 2017.

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40

Mathematics of Continuous and Discrete Dynamical Systems (Contemporary Mathematics). Amer Mathematical Society, 2012.

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41

Thiele, Frank, Bernhard Eisfeld, Holger Barnewitz, and Willy Fritz. Management and Minimisation of Uncertainties and Errors in Numerical Aerodynamics: Results of the German collaborative project MUNA. Springer, 2015.

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42

Eisfeld, Bernhard, Holger Barnewitz, and Willy Fritz. Management and Minimisation of Uncertainties and Errors in Numerical Aerodynamics: Results of the German collaborative project MUNA. Springer, 2013.

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43

Thiele, Frank, Bernhard Eisfeld, Holger Barnewitz, and Willy Fritz. Management and Minimisation of Uncertainties and Errors in Numerical Aerodynamics: Results of the German collaborative project MUNA. Springer, 2013.

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44

Mathematical Models of Continuous and Discrete Dynamic Systems (Ellis Horwood Series in Mathematics & Its Applications). Ellis Horwood, 1993.

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45

1931-, Brown Morton, American Mathematical Society, National Science Foundation (U.S.), and AMS-IMS-SIAM Joint Summer Research Conference in the Mathematical Sciences on Relationships beween Continuum Theory and the Theory of Dynamical Systems (1989 : Humboldt State University), eds. Continuum theory and dynamical systems: Proceedings of the AMS-IMS-SIAM joint summer research conference held June 17-23, 1989, with support from the National Science Foundation and the Army Research Office. Providence, R.I: American Mathematical Society, 1991.

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46

Stewart, Iain W. Static and Dynamic Continuum Theory of Liquid Crystals: A Mathematical Introduction. Taylor & Francis Group, 2019.

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47

Landesmann, Michael, and Peter Flaschel. Mathematical Economics and the Dynamics of Capitalism: Goodwin's Legacy Continued. Taylor & Francis Group, 2014.

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48

1943-, Flaschel Peter, and Landesmann Michael A, eds. Mathematical economics and the dynamics of capitalism: Goodwin's legacy continued. London: Routledge, 2008.

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49

Oldknow, A. J., and H. Brian Griffiths. Mathematics of Models: Continuous and Discrete Dynamical Systems (Ellis Horwood Series in Mathematics & Its Applications). Prentice Hall, 1993.

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50

Busse, F. H. Nonlinear Evolution of Spatio-Temporal Structures in Dissipative Continuous Systems. Springer, 2012.

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