Consolidated References on GUT

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[2]           Angay, M. C., (1996) On the Symmetries and Probability Distributions of Oscillations, Generalized Limit and Derivative and Applications, Master’s thesis, Institute of Mathematical Sciences and Physics, University of the Philippines Los Baños, 1996.
[3]           Ankeny, N.C. (1952) The insolubility of sets of Diophantine equations in the rational numbers, Proc. Nat. Acad. Sci. U.S.A., 38, 880 – 884.
[4]           Ankeny, N. C. and Erdös, P. (1954) The Insolubility of classes of Diophantine equations, Amer. J. Math., 76, pp. 480 – 496.
[5]           Astronomy (a) August 1995, (b) January 2001, (c) June 2002.
[6]           Atsukovsky, V.A., General ether-dynamics. Simulation of the matter structures and fields on the basis of the ideas about the gas-like ether. Energoatomizdat, Moscow, 1990 (in Russian).
[7]           Bhaskar, T. G., Kovak, D., Lakshmikantham V. (2006) The Hybrid Set Theory, Nonlinear Analysis; C-Series, Hybrid Systems and Applications.
[8]           Benacerraf, P. and Putnam, H. (1985) Philosophy of Mathematics, Cambridge University Press, Cambridge, 52 - 61.
[9]           Berg, P. W. and McGregor, T. L. (1966) Partial Differential Equations, Holden Day, San Francisco.
[10]         Brania, A, Sambandham, M., Symbolic Dynamics of the Shift Map in R*, Proc. 5th International Conference on Dynamic Systems and Applications 5(2008), 68 – 72.
[11]        Cohen, P. J. (1966) Set Theory and the Continuum Hypothesis, W. A. Benjamin, Amsterdam.
[12]         Corporate Mathematical Society of Japan, Kiyosi Itȏ, Encyclopedic Dictionary of Mathematics (2nd ed.), MIT Press, Cambridge, MA. 1993.
[13]        Davies, P. C. and Brown, J. (1988) Superstring: A Theory of Everything? Cambridge University Press, New York.
[14]         Davies, P. J. and Hersch, R. (1981) The Mathematical Experience, Birkhäuser, Boston.
[15]        Discover, (a) Feb. 1996, 38 – 45, (b) July 1999, 76 - 82, (c) Nov. 1998, 66 – 75; (d) Dec. 1999.
[16]         Edgar, G. A. Measure, Topology and Fractal Geometry, Springer-Verlag, New York, 1990.
[17]        (a) Encarta CD Electronic Encyclopedia, 1998, (b) Guinness Book of Records, 2001.
[18]        Escultura, E. E. (1989) Composite Graphing, Inversion and other graphic techniques, Matimyas Matematika, 12(1), 54 – 67.
[19]        Escultura, E. E. (1991) Introduction to Qualitative Control Theory, Kalikasan, Manila.
[20]        Escultura, E. E. (1992) The mathematics of singularities, Trans. National Academy of Science and Technology, XIV, Manila, 141 – 153.
[21]        Escultura, E. E. (1993) Diophantus: Introduction to Mathematical Philosophy (With Probabilistic Solution of Fermat and Other Applications), Kalikasan, Manila.
[22]        Escultura, E. E. (1993) Superstring dynamics, Supplemen, 26(1) Institut, Teknologi, Bandung, 1993, 118 – 124.
[23]         Escultura, E. E. (1996) Probabilistic mathematics and applications to dynamic systems including Fermat's last theorem, Proc. 2nd International Conference on Dynamic Systems and Applications, May 1999, Atlanta, 147 – 152.
[24]         Escultura, E. E., The solution of the gravitational n-body problem, Nonlinear Analysis, Series A: Theory, Methods and Applications, 30(8), Dec. 1997, 521 – 532.
[25]         Escultura, E. E. (1997) Exact solutions of Fermat's equation (Definitive resolution of Fermat’s last theorem, 5(2), 227 – 2254.
[26]        Escultura, E. E. (1999) Superstring loop dynamics and applications to astronomy and biology, J. Nonlinear Analysis, 35(8), 1999, 259 – 285.
[27]        Escultura, E. E. (1999) Recent verification and applications, Proc. 2rd International Conf.: Tools for Mathematical Modeling, St. Petersburg, vol. 4, 74 – 89.
[28]        Escultura, E. E. (2000) Set-valued differential equations and applications to quantum gravity, Mathematical Research, Vol. 6, 2000, St. Petersburg, 58 – 69.
[29]        Escultura, E. E. (2001) From macro to quantum gravity, J. Problems of Nonlinear Analysis in Engineering Systems, 7(1), 56 – 78.
[30]        Escultura, E. E. (2001) Quantum gravity, Proc. 3rd International Conference on Dynamic Systems and Applications, Atlanta, 201 – 208.
[31]        Escultura, E. E. (2001) Turbulence: theory, verification and applications, J. Nonlinear Analysis, 47(2001), 5955 – 5966.
[32]        Escultura, E. E. (2001) Vortex Interactions, J. Problems of Nonlinear Analysis in Engineering Systems, Vol. 7(2), 30 – 44.
[33]        Escultura, E. E. (2001) Chaos, turbulence and fractal, Indian J. Pure and Applied Mathematics, 32(10), 1539 – 1551.
[34]        Escultura, E. E. (2002) The mathematics of the new physics, J. Applied Mathematics and Computations, 130(1), 145 – 169.
[35]        Escultura, E. E. (2003) Mathematics as representation of thought: The theory of intelligence and evolution, Indian J. Pure and Applied Mathematics, 33(1), 111 – 129. 
[36]        Escultura, E. E. (2003) The new mathematics and physics, J. Applied Mathematics and Computation, 138(1), 127 – 149.
[37]        Escultura, E. E. (2003) Macro and quantum gravity and the dynamics of cosmic waves, J. Applied Mathematics and Computation, 139(1), 23 – 36.
[38]        Escultura, E. E. (2001) The mathematics of chaos, turbulence, fractal and tornado breaker, deflector and aborter, Proc. Symposium on Development through Basic Research, National Research Council of the Philippines, University of the Philippines, 1 – 13.
[39]        Escultura, E. E. (2002) Extending the reach of computation, Applied Mathematics Letters, Applied Mathematics Letters 21(10), 2007, 1074-1081
[40]       Escultura, E. E., The Unified Theory of Evolution, invited paper by the International Journal of Biological Sciences and Engineering.
[41]         Escultura, E. E., Global geology and oceanography, invited paper by the International Journal of Earth Sciences and Engineering.
[42]        Escultura, E. E., (2002) Columbia: the crossroads for science, to appear, GJNA.
[43]        Escultura, E. E., (2003) Dynamic Modeling and Applications, Proc. 3rd International Conference on Tools for Mathematical Modeling, State Technical University of St. Petersburg, St. Petersburg.
[44]        Escultura, E. E., (2004) Problems and Unanswered Questions of physics and their resolution, Nonlinear Analysis and Phenomena, I(1), 1 – 26.
[45]         Escultura, E. E., The new real number system and discrete computation and calculus, Neural, Parallel and Scientific Computation, 17 (2009), 59 – 84.
[46]        Escultura, E. E., (2005) Dynamic Modeling of Chaos and Turbulence, Proc. 4th World Congress of Nonlinear Analysts, Orlando, June 30 – July 7, 2004; Nonlinear Analysis, Volume 63, Issue 5-7, 1 November 2005, e519-e532.
[47]        Escultura, E. E., (2005). The theory of everything, Nonlinear Analysis and Phenomena, II(2), 1 – 45.
[48]        Escultura, E. E., (2006) Foundations of Analysis and the New Arithmetic,
Nonlinear Analysis and Phenomena, January 2006.
[49]         Escultura, E. E., The Pillars of the new physics and some updates, Nonlinear Studies, 14(3), 2007, 241 – 260.
[50]        Escultura, E. E., The physics of the mind, accepted, The Journal of the Science of Healing Outcome.
[51]         Escultura, E. E., Genetic alteration, modification and sterilization with applications to the treatment of genetic diseases,  accepted, The Journal of the Science of Healing Outcomes.
[52]         Escultura, E. E., The generalized integral as dual of Schwarz distribution, in press, Nonlinear Studies.
[53]        Escultura, E. E., The origin and evolution of biological species, accepted, The Journal of the Science of Healing Outcome.
[54]         Escultura, E. E., (2007) Dynamic Modeling and the new mathematics and physics, Neural, Parallel and Scientific Computations, 15(4), 2007, 527 – 538.
[55]         Escultura, E. E., The grand unified theory, contribution to the Felicitation Volume on the occasion of the 85th birth anniversary of Prof. V. Lakshmikantham: Nonlinear Analysis: TMA, 69(3), 2008, 823 – 831.
[56]         Escultura, E. E., The mathematics of the grand unified theory, Nonlinear Analysis, Series A: TMA, 71 (2009) e420 – e431.
[57]         Escultura, E. E., Dynamic and mathematical models in physic, Proc. 5th International Conference on Dynamic Systems and Applications, June 30 – July 5, 2007, Atlanta, 164 – 169.
[58]        Escultura, E. E., Dynamic Modeling of Chaos and Turbulence, NA, TMA,  63(5-7), 2004, e519 – e532.
[59]         Escultura, E. E., The basic concepts and dynamics of quantum gravity with applications, in press, Nonlinear Studies
[60]         Escultura, E. E., Qualitative model of the atom, its components and origin in the early universe, Nonlinear Analysis: Real World Applications, 11 (2009), 29 – 38.
[61]         Escultura, E. E. Bhaskar, T. G.; Leela, S., Laksmikantham, V., Revisiting the hybrid real number system, J. Nonlinear Analysis, C-Series: Hybrid Systems, May 2009, 3, 2, pp. 101 – 107.
[62]         Escultura, E. E., Qualitative modeling for complex systems, in press, Problems of Nonlinear Analysis in Engineering Systems.
[63]         E.E. Escultura, By-passing chaos with a theory of turbulence and development, Finance Stochastics (Perez, D. Bonzo, eds), World Scientific, London, 2001.
[64]         E.E. Escultura. Probability Distribution In Mathematics, The Philippine Statistician. 40. 1-2 & 3-4. 1991, 47 – 56.
[65]         Escultura, E. E., The theory of intelligence and evolution, Indian Journal of Pure and Applied Mathematics, 33(1), 2003, 111 – 129.
[66]         Español, J., The spiral and oscillation, Special Problem, Institute of Mathematical Sciences and Physics, University of the Philippines Los Baños, 1996.
[67]        Falconer, K. J. (1986) The Geometry of Fractal Sets, Cambridge University Press, Cambridge.
[68]        Feix, M. (1992) Rapport d'activite du 01 Juillete, 1990 au 01 Juillet 1992, Centre National De la Recherches Sci. (Phys. Math., Modélisation et simulation.), Lyons.
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[71]        Gleick, J. (1988) Chaos: Making a New Science, Penguin Books, New York
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[74]        Gödel,  K.  (1933)   On  intuitionistic   arithmetic   and  number  theory,  Ergebnisse  eines mathematischen Kollquiums, Heft 4, 34 - 38 (translation).
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[80]        Goonatilake, S. (1984) Aborted Discovery: Science and Discovery in the Third World, Zed Books, London.
[81]        Gudkov, V. V. (1995) Existence of a traveling wave solution for multicomponent systems, differential equations, 31(1), 1995.
[82]        Gudkov, V. V. (1996) The explicit form of the wave solutions of the evolutionary equations, Comp. Math. Phys. 36(3), 135 – 340.
[83]        Gudkov, V. V. (1999) Geometrical properties of matrix solutions of Klein-Gordon equations, J. Phy. A: Math. Gen.
[84]        Gudkov, V. V. (1997) A family of exact traveling wave solutions to nonlinear evolution and wave equations., J. Math. Phys. 1997, 37(12), 959 – 985.
[85]        Gudkov, V. V. (1997) New types of wave solutions to the general nonlinear Klein-Gordon equation, Comp. Math. and Math. Phys., 37(5), 584 – 589. 
[86]        Gudkov, V. V. (1998) A family of the spiral solutions of the nonlinear Klein-Gordon equation, Vilnius: Technica, Vol 3, 98 – 103.
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[88]        Gudkov, V. V. (2000) Matrix sol. of diffusion equation, Nonlinear Analysis, 3(2002), 161 – 164.
[89]        Gudkov, V. V. (2000) Torus as a gerometrical image of a family of matrix solutions of the nonlinear Klein-Gordon equation, accepted, Nonlinear Analysis.
[90]        Gudkov, V. V. and Escultura, E. E. (2001) Mathematical models on the way from superstring to photon, Nonlinear Analysis: Real World Applications, 3(2002), 375 – 382.
[91]         Gudkov, V. V. and Escultura, E. E. Qualitative and computational models of the atom, to appear, GJNA.
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