References. Bayin, S.S., Mathematical Methods in Science and Engineering, Wiley, Hoboken, NJ, 2006.

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1 References Akhiezer, N.I., The Calculus of Variations, Blaisdell, New York, Ahlfors, L.V., Complex Analysis, McGraw-Hill, New York, Andel, J., Mathematics of Chance, Wiley, New York, Apostol, T.M., Mathematical Analysis, Addison-Wesley, Reading, MA, fourth printing, Appel, W., Mathematics for Physics and Physicists, Princeton University Press, Princeton, NJ, Arfken, G.B., and H.J. Weber, Mathematical Methods of Physics, Elsevier, Boston, sixth edition, Artin, E., The Gamma Function, Holt, Rinehart and Winston, New York, Audretsch, J., Entangled Systems, Wiley-VCH, Weinheim, Audretsch, J., editor, Entangled World: The Fascination of Quantum Information and Computation, Wiley-VCH, Weinheim, Basu, K., The Traveler s Dilemma, Scientific American, p. 68, June Bather, J.A., Decision Theory, An Introduction to Programming and Sequential Decisions, Wiley, Chichester, Bayin, S.S., Mathematical Methods in Science and Engineering, Wiley, Hoboken, NJ, Essentzals of Mathematical Methods in Science and Engineering. By 5. Selquk Bayin 2008 John Wiley & Sons, Inc. 787

2 788 REFERENCES Bell, W.W., Special Functions for Scientists and Engineers, D. Van Nostrand, Princeton, NJ, Boas, M.L., Mathematical Methods in the Physical Sciences, Wiley, Hoboken, NJ, third edition, Bouwmeester, D., J.W. Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, Experimental Quantum Teleportation, Nature, vol. 390, pp , Bradbury, T.C., Theoretical Mechanics, Wiley, New York, Bromwich, T.J.I., An Introduction to the Infinite Series, Chelsea Publishing Company, New York, Brown, J.W., and R.V. Churchill, Complex Variables and Applications, McGraw- Hill, New York, Brup, D., and G. Leuchs, editors, Lectures on Quantum Information, Wiley- VCH, Weinheim, Buck, R.C., Advanced Calculus, McGraw-Hill, New York, Butkov, E., Mathematical Physics, Addison-Wesley, New York, Byron, Jr. F.W., and R.W. Fuller, Mathematics of Classical and Quantum Physics, Dover, New York, Churchill, R.V., Fourier Series and Boundary Value Problems, McGraw-Hill, New York, Cover, T.M., and J.A. Thomas, Elements of Information Theory, Wiley, Hoboken, NJ, second edition, Csermely, P., Weak Links, Stabilizers of Complex Systems from Proteins to Social Networks, Springer, Berlin, Dirac, P.A.M., The Principals of Quantum Mechanics, Clarendon Press, Oxford, fourth edition, Dennery, P., and A. Krzywicki, Mathematics for Physics, Dover Publications, New York, Dwight, H.B., Tables of Integrals and Other Mathematical Data, Macmillan, New York, fourth edition, Erdelyi, A., Oberhettinger, M.W., and Tricomi. F.G., Higher 'Transcendental Functions, vol. I, Krieger, New York, Feynman, R., R.B. Leighton, and M. Sands, The Feynman Lectures on Physics, Addison-Wesley, Reading, MA, Franklin, P.A., A 'Treatise on Advanced Calculus, Wiley, New York, Gamow, G., One Two Three... Infinity: Facts and Speculations of Science, Dover Publications, Gantmacher, F.R., The Theory of Matrices, Chelsea Publishing Company, New York, Gasierowicz, S., Quantum Physics, Wiley, Hoboken, NJ, third edition, Ghirardi, G., Sneaking a Look at God's Cards, Princeton University Press, Princeton, NJ, 2004.

3 REFERENCES 789 Gnedenko, B.V., The Theory of Probability, MIR Publishers, Moscow, second printing, Goldstein, H., C. Poole, and J. Saf'ko, Classical Mechanics, Addison-Wesley, San Francisco, third edition, Griffiths, D.J., Introduction to Electrodynamics, Benjamin Cummings, third edition, Grimmett, G.R., and D.R. Stirzaker, Probability and Random Processes, Clarendon, Oxford, third edition, Harris, B., Theory of Probability, Addison-Wesley, Reading, MA, Hartle, J.B., An Introduction to Einstein's General Relativity, Addison-Wesley, San Francisco, Hassani, S., Mathematical Methods: For Students of Physics and Related Fields, Springer Verlag, New York, Hassani, S., Mathematical Physics, Springer Verlag, New York, second edition, Hauser, W., Introduction to Principles of Mechanics, Addison-Wesley, Reading, MA, first printing, Haykin, S., Neural Networks, A Comprehensive Foundation, Prentice Hall, Up per Saddle River, Hildebrand, F.B., Methods of Applied Mathematics, Dover Publications, New York, second reprint edition, Hoffman, K., and R. Kunze, Linear Algebra, Prentice Hall, Upper Saddle River, NJ, second edition, Inan, U.S., and A.S. Inan (a), Engineering Electrodynamics, Prentice Hall, Upper Saddle River, Inan, US., and A.S. Inan (b), Electromagnetic Waves, Prentice Hall, Upper Saddle River, Ince, E.L., Ordinary Differential Equations, Dover Publications, New York, Jones, G.A., and J.M. Jones, Information and Coding Theory, Springer, London, Josza, R. in H.-K. Lo, S. Popescu, and T. Spiller, editors, Introduction to Quantum Computation and Information, Word Scientific, Singapore, Kaplan, W., Advanced Calculus, Addison-Wesley, Reading, third edition, Kelly, J. J., Graduate Mathematical Physics, With Mathematica Supplements+ CD, Wiley-VCH, Weinheim, Kolmogorov, A.N., Foundations of the Theory of Probability, Chelsea Publishing Company, New York, Kusse B.R., and E.A. Westwig, Mathematical Physics: Applied Mathematics FOT Scientists and Engineers, Wiley-VCH, Weinheim, second edition, Kyrala, A., Applied Functions of a Complex Variable, Wiley, New York, Lang, S., Linear Algebra, Addison-Wesley, Reading, MA, 1966.

4 790 REFERENCES Lebedev, N.N., Special Functions and Their Applications, Prentice-Hall, Englewood Cliffs, NJ, Lebedev, N.N., I.P. Skalskaya, and Y.S. Uflyand, Problems of Mathematical Physics, Prentice-Hall, Englewood Cliffs, NJ, Margenau, H., and G. M. Murphy, editors, The Mathematics of Physics and Chemistry, Van Nostrand, Princeton, NJ, Marion, J.B., Classical Dynamics of Particles and Systems, Academic Press, New York, second edition, Mathews, J., and R.W. Walker, Mathematical Methods of Physics, Addison- Wesley, Menlo Park, CA, second edition, Mattle, K., H. Weinfurter, P.G. Kwiat, and A. Zeilinger, Dense Coding in Experimental Quantum communication, Phys. Rev. Lett., vol. 76, pp , McCollum, P.A., and B.F. Brown, Laplace Transform Tables and Theorems, Holt, Rinehart and Winston, New York, McMahon, D, Quantum Computing Explained, Wiley-IEEE Computer Society Press, Hoboken, NJ, Medina, P.K., and S. Merino, Mathematical Finance and Probability, Birkhauser Verlag, Basel, Mermin, N.D., Quantum Computer Science, Cambridge University Press, Cambridge, Merzbacher, E., Quantum Mechanics, Wiley, New York, Miller, I., and M. Miller, John E. Freund s Mathematical Statistics With Applications, Pearson Prentice Hall, Upper Saddle River, NJ, seventh edition, Morsch, O., Quantum Bits and Quantum Secrets: How Quantum Physics Is Revolutionazing Codes and Computers, Wiley-VCH, Weinheim, Morse, P.M., and H. Feshbach, Methods of Theoretical Physics, McGraw-Hill, New York, Murphy, G.M., Ordinary Differential Equations and Their Solutions, Van Nostrand, Princeton, NJ, Myerson, R.B., Game Theory, Analysis of Conflict, Harvard University Press, Cambridge, MA, Nagle, R.K., E.B. Saff, and A.D. Snider, Fundamentals of Differential Equations and Boundary Value Problems, Addison-Wesley, Boston, Osborne, M.J., an introduction to Game Theory, Oxford University Press, New York, Peters, E.E., Complexity, Risk, and Financial Markets, Wiley, New York, Pathria, R.K., Statistical Mechanics, Pergamon Press, Oxford, Rektorys, K., Survey of Applicable Mathematics Volumes I and II, Springer, Berlin, second revised edition, Roederer, J.G., Information and Its Role in Nature, Springer, Berlin, 2005.

5 REFERENCES 791 Ross, S.L., Differential Equations, Wiley, New York, third edition, Saff, E.B., and A.D. Snider, Fundamentals of Complex Analysis with applications to Engineering and Science, Prentice Hall, Upper Saddle River, N.1, Shannon, C.E., A Mathematical Theory of Communication, The Bell System Technical Journal, vol. 27, pp , , Shannon, C.E., and W. Weaver, The Mathematical Theory of Communication, The University of Illinois Press, Urbana, IL, Sivia, D.S., and J. Skilling, Data Analysis: A Bayesian Tutorial, Oxford, New York, second edition, Spiegel, M.R., Advanced Mathematics for Engineers and Scientists: Schaum s Outline Series in Mathematics, McGraw-Hill, New York, Stapp, H.P., Mind Matter and Quantum Mechanics, Springer, Berlin, second edition, Stolze, J., and D. Suter, Quantum Computing: A Short Course from Theory to Experiment, Wiley-VCH, Weinheim, Szabo, G., and G. Fath, Evolutionary Games on Graphs, Physics Reports, Vol. 446, pp , Szekerez, P., A Course in Modern Mathematical Physics: Group, Hilbert Space and Differential Geometry, Cambridge University Press, New York, Titchmarsh, E.C., The Theory of Functions, Oxford University Press, New York, Thomas, G.B. Jr., and R.L. Finney, Thomas Calculus, Addison-Wesley, Boston, alternate edition, Todhunter, I., A History of the Theory of Probability From the Time of Pascal to Luplace, Chelsea Publishing Company, New York, Trigg, G.L., editor, Mathematical Tools for Physicists, Wiley-VCH, Weinheim, Wan, F.Y.M., Introduction to the Calculus of Variations and its Applications, Chapman and Hall, New York, Wang, F.Y., Physics with Maple: The Computer Algebra Resource for Mathematical Methods in Physics, Wiley-VCH, Weinheim, Watson, G.N., A Treatise on the Theory of Bessel Functions, Cambridge University Press, London, second edition, Weber, H.J., and G.B. Arfken, Essential Mathematical Methods for Physicists, Academic Press, San Diego, Wilks, J., The Third Law of Thermodynamics, Oxford University Press, London, Whittaker, E.T., and G.N. Watson, A Course on Modern Analysis, Cambridge University Press, New York, Woolfson, M.M., and M.S. Woolfson, Mathematics for Physics, Oxford University Press, Oxford, Zeilinger, A., Quantum Information, Physics World, vol. 11 no. 3, March 1998.

6 792 REFERENCES Zeilinger, A., Quantum Teleportation, Scientific American, pg. 32, April Ziemer, R.E., Elements of Engineering Probability and Statistics, Prentice Hall, Upper Saddle River, NJ, 1997.