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Bochner S. 1966, The Role of Mathematics in the Rise of Science, Princeton University, New Jersey

Bourbaki N. 1991, Elements of the History of Mathematics, Springer Verlag, Berlin

Browder F. 2002, Reflections on the Future of Mathematics, Notes Am. Math. Soc. 49, 658-662

Corry L. 1997, David Hilbert and axiomatization of the axioms of physics (1894-1905), Arch. for History of Exact Sciences 51, 83-197

Hilbert D. 1902, Mathematical Problems. Lecture at the International Congress of Mathematicians at Paris in 1900, Bull. Am. Math Soc. 8, 437-479; reprinted Bull. Am. Math Soc. 37, 407-436 (2000).

Poincar H. 1906, The Present and the Future of Mathematical Physics, Bull. Amer. Math. Soc. 12, 240- 260; reprinted Bull. Amer. Math. Soc. 37, 25-38 (1999).

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Galileo G. 1638 : Dialogues concerning two New Sciences, tranl. by Crew H. and de Salvio A., Prometheus Books 1991

The Unreasonable Effectiveness of Mathematics Wigner E. 1960: The Unreasonable Effectiveness of Mathematics in the Natural Sciences, Comm. Pure Appl. Math. 13, 1-14

Those who lack a sense of the Past are condemned to live in the narrow darkness

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ANA- : [1] Arnold V.I., Ordinary Differential Equations, MIT Press, Cambridge, MA (1978).

[2] Yosida K., Lectures on Differential Equations, Interscience, New York (1960); reprint Dover, New York (1991).

[3] Antoniou I.,Shkarin S., Analyticity of Smooth Eigenfunctions and Spectral Analysis of the Gauss Map, J. Stat. Phys. 111, 355-369 (2003).

[4] Antoniou I., Shkarin S., Spectral Analysis of Chaos, Proc. 9th Math. nalysis Conference, Crete (2003).

[5] httpChaos / Prigogine, Laws of Chaos (2006-12-13)

Arnold V.I. 1978, Ordinary Differential Equations, MIT Press, Cambridge, MA

Antoniou I.,Shkarin S. 2003a, Analyticity of Smooth Eigenfunctions and Spectral Analysis of the Gauss Map, J. Stat. Phys. 111, 355-369

Antoniou I., Shkarin S. 2003b, Spectral Analysis of Operators of Chaos, Proc. 9th Math. nalysis Conference, Crete.

Prigogine 2006-12-13, Laws of Chaos, httpChaos /

Yosida K., 1960, Lectures on Differential Equations, Interscience, New York; reprint Dover, New York (1991).

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B General Bochner S. 1966, The Role of Mathematics in the Rise of Science, Princeton University, New Jersey. Bourbaki N. 1991, Elements of the History of Mathematics, Springer Verlag, Berlin Browder F. 2002, Reflections on the Future of Mathematics, Notes Am. Math. Soc. 49, 658-662 Gradshteyn I., Ryzhik I. 1994, Table of Integrals, Series, and Products, 5th ed., Academic Press, London. Hilbert D. 1902, Mathematical Problems. Lecture delivered before the International Congress of Mathematicians at Paris in 1900,

Bull. Am. Math Soc. 8, 437-479. Reprinted Bull. Am. Math Soc. 37, 407-436 (2000). Kalman R. 1968, On the Mathematics of Model Building, in Neural Networks, ed. By E. Caianelo, Springer New York. Corry L. 1997, David Hilbert and xiomatization of the xioms of Physics (1894-1905). Arch. for History of Exact Sciences 51, 83-197 Poincar H.1906, The present and the Future of Mathematical Physics, Bull. Amer. Math. Soc. 12, 240-260;

reprinted Bull. Amer. Math. Soc. 37, 25-38 (1999). Smale S. 1998, Mathematical Problems for the Next Century, Mathematical Intelligencer 20, 7-15 Wightman A. S. 1974, Hilbert's sixth problem: mathematical treatment of the axioms of physics.

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Dynamical Systems Birkhoff G. 1927, Dynamical Systems, Amer. Math. Soc. Coll. Publ. 9, Providence RI. Blum L., Cucker F., Shub M., Smale S. 1988, Complexity and Real Computation, Springer, New York. Carleman T. 1932, Application de la Theorie des Equations Integrales Lineares aux Systems dEquations Differentiales Nonlineares,

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Functional Analysis and Operator Theory Akhiezer N.I. and Glazman I.M. 1981, Theory of Linear Operators in Hilbert Space, Vols I and II, Dover, New York Dunford N. and Schwartz J.1988, Linear Operators I : General Theory, Wiley, New York Dunford N. and Schwartz J. 1963, Linear Operators II : Spectral Theory, Wiley, New York Dunford N. and Schwartz J. 1971, Linear Operators III : Spectral Operators, Wiley, New York Halmos P.R. 1982, A Hilbert Space Problem Book, 2nd ed., New York; Springer. Kolmogorov A.N. and Fomin S.V. 1970, Elements of the Theory of Functions and Functional Analysis, Dover, New York. Reed M. and Simon B. 1975, Methods of Modern Mathematical Physics I: Functional Analysis, Academic Press, New York. Reed M. and Simon B. 1980, Methods of Modern Mathematical Physics II: Fourier Analysis, Self-Adjointness, Academic Press, London. Reed M. and Simon B. 1979, Methods of Modern Mathematical Physics III: Scattering Theory, Academic Press, London. Reed M. and Simon B. 1978, Methods of Modern Mathematical Physics IV: Analysis of Operators, Academic Press, London. Sz-Nagy B., Foias C. 1970, Harmonic Analysis of Operators in Hilbert Space, North-Holland, Amsterdam.

Ordinary Differential Equations Arnold V.I. 1978, Ordinary Differential Equations, MIT Press, Cambridge, MA . Arnold V.I. 1990: Huygens and Barrow, Newton and Hooke, Birkhauser , Basel Guckenheimer J. and Holmes P. J. 1983, Nonlinear Oscillations, Dynamical Systems and Bifurcations of Vector Fields, Springer-

Verlag, New York Hirsch M., Smale S. 1974, Differential Equations, Dynamical Systems and Linear Algebra, Academic Press, London. . , ., . 1997, , . , Poincar H. 1899, Les Methodes Nouvelles de la Mcanique Cleste Vols 1-3, Gauthier-Villars, Paris ;

Reprinted by Dover, New York ,1957 ; English Translation, American Inst. Physics, New York, 1993. Polyanin A.D., Zaitsev V.F. 2002, Handbook of Exact Solutions for Ordinary Differential Equations, CRC Press. . 2000, , , . Smale S. 1967, Differentiable Dynamical Systems, Bull. Amer. Math. Soc. 73(6), 747-817

Partial Differential Equations . , . 2004, , Evans L. C. 1998, Partial Differential Equations, American Mathematical Society, Providence. ISBN 0-8218-0772-2 Gustafson K. 1999, Introduction to Partial Differential Equations and Hilbert Space Methods, Dover, New York. Hormander L. 1990, The Analysis of Linear Partial Differential Operators 1: Distribution Theory and Fourier Analysis, Springer Hormander L. 1999, The Analysis of Linear Partial Differential Operators 2: Differential Operators with Constant Coefficients, Springer. Hormander L. 1985, The Analysis of Linear Partial Differential Operators 3: Pseudo-Differential Operators, Springer Hormander L. 1994, The Analysis of Linear Partial Differential Operators 4: Fourier Integral Operators, Springer. Sobolev S. 1989, Partial Differential Equations of Mathematical Physics, Dover, New York. VVesdsnsky D. 1992, Partial Differential Equations with Mathematica, Addison Wesley, New York.

http://en.wikipedia.org/w/index.php?title=Special%3ABooksources&isbn=0821807722

Difference Equations. Discrete Dynamics Brin M., Stuck G. 2003, Introduction to Dynamical Systems, Cambridge University Press, Cambridge, UK Galor O. 2007, Discrete Dynamical Systems, Springer, Berlin Ilyashenko Yu. 2008, Some open problems in real and complex dynamical systems, Nonlinearity 21, T101T107 Kulesovic M.R.S., Merino O. 2002, Discrete Dynamical Systems and Difference Equations with Mathematic, CRC Press. K . 2001, , , . K . 2001, . , , . Lakshmikantham V. 2002, Theory of Difference Equations: Numerical Methods and Applications, 2d Edition, Marcel Dekker New York Wolfram S. 2002, A New Kind of Science, Wolfram Media, Champaign, Illinois. Networks Boccaletti S., Latora V., Moreno Y., Chavez M., Hwang D.-U., 2006, Complex Networks: Structure and dynamics, Phys. Reports 424, 175-308 Dorovtsev S. , Mendes J. 2003, Evoluton of Networks. From Biological Nets to the Internet and the WWW, Oxford, UK. Jensen F. 1996, An introduction to Bayesian etworks, Springer, Berlin. Kolaczyk . 2009, Statistical Analysis of Network Data. Methods and Models, Springer, New York. Lewis T. 2009, Network Science. Theory and Practice, Wiley, New York. Lieberman E. , Hauert C. , Nowak M. 2005, Evolutionary dynamics on graphs, Nature 433, 312-316 Newman M., Barabasi A.-L., Watts D. 2006, The Structure and Dynamics of Networks, Princeton University Press, New Jersey Van der Hofstad R. 2011, Random Graphs and Complex Networks, www.win.tue.nl/~rhofstad/NotesRGCN.pdf

Stochastic Processes Bachelier L. 1900, "Theorie de la speculation," Ann. Sd. Norm. Sup. 3, 21-86. Bharucha-Reid A. T. 1960, Elements of the Theory of Markov Processes and Their Applications, McGraw-Hill, New York Doob J.L. 1953 Stochastic Processes, Wiley, New York. Feller W. 1968, An Introduction to Probability Theory and Its Applications I, Wiley, New York Feller W. 1971, An Introduction to Probability Theory and Its Applications II, Wiley, New York Gardiner C. 1983, Handbook of Stochastic Methods for Physics, Chemistry and the Natural Sciences, Springer Verlag, Berlin (1983). Goel N., Richter-Dyn 1974, Stochastic Models in Biology, Academic Press, New York. Honerkamp J., Stchastic Dynamical Systems: Concepts, Numerical Methods, Data Analysis, Wiley, New York (1994). Janiki A., Weron A. 1994, Simulation and Chaotic Behaviour of -Stable Stochastic Processes, Marcel Dekker, New York Risken H. 1984, The Fokker-Planck Equation: Methods of Solution and Applications, Springer, Berlin . 2004, , , . 1997, , , Van Kampen N. 1981, Stochastic Processes in Physics and Chemistry, North-Holland, Amsterdam Whittle P. 2000, Prbability via Expectation, Penguin (1970); 4th edition, Springer, New York Wilkinson D. L. 2006, Stochastic Modeling for Systems Biology, Chapman and Hall/CRC, London, UK

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