Academic literature on the topic 'Cosmology Mathematics'

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Journal articles on the topic "Cosmology Mathematics"

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S, Durgadevi. "Application of Mathematics in Cosmology." International Journal for Research in Applied Science and Engineering Technology 7, no. 4 (2019): 2003–6. http://dx.doi.org/10.22214/ijraset.2019.4364.

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Barrow, John D., and Kerstin E. Kunze. "String cosmology." Chaos, Solitons & Fractals 10, no. 2-3 (1999): 257–65. http://dx.doi.org/10.1016/s0960-0779(98)00183-0.

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Dickau, Jonathan J. "Fractal cosmology." Chaos, Solitons & Fractals 41, no. 4 (2009): 2103–5. http://dx.doi.org/10.1016/j.chaos.2008.07.056.

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Cirkovic, Milan. "Cosmology and Hilbert's sixth problem." Serbian Astronomical Journal, no. 200 (2020): 43–49. http://dx.doi.org/10.2298/saj2000043c.

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There have been tantalizing indications from many quarters of physical cosmology that we are living in the multiverse - a huge set of cosmological domains ("universes"). What is the structure of this larger whole is an entirely open problem on the interface between physics and metaphysics. A goal of the present paper is to draw attention to the connection between this problem and an old and celebrated puzzle in mathematical physics. Among the unresolved problems David Hilbert posed in 1900 as a challenge for the dawning century, none is more philosophically controversial than the Sixth Problem
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Narlikar, J. "The new cosmology." Chaos, Solitons & Fractals 16, no. 4 (2003): 467–68. http://dx.doi.org/10.1016/s0960-0779(02)00215-1.

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McFarland, Bruce. "New cosmology." International Journal of Theoretical Physics 36, no. 6 (1997): 1423–33. http://dx.doi.org/10.1007/bf02435936.

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Sidharth, B. G. "The cosmology of fluctuations." Chaos, Solitons & Fractals 16, no. 4 (2003): 613–20. http://dx.doi.org/10.1016/s0960-0779(02)00225-4.

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Ashtekar, Abhay, Martin Bojowald, and Jerzy Lewandowski. "Mathematical structure of loop quantum cosmology." Advances in Theoretical and Mathematical Physics 7, no. 2 (2003): 233–68. http://dx.doi.org/10.4310/atmp.2003.v7.n2.a2.

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Rajantie, Arttu. "Higgs cosmology." Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 376, no. 2114 (2018): 20170128. http://dx.doi.org/10.1098/rsta.2017.0128.

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The discovery of the Higgs boson in 2012 and other results from the Large Hadron Collider have confirmed the standard model of particle physics as the correct theory of elementary particles and their interactions up to energies of several TeV. Remarkably, the theory may even remain valid all the way to the Planck scale of quantum gravity, and therefore it provides a solid theoretical basis for describing the early Universe. Furthermore, the Higgs field itself has unique properties that may have allowed it to play a central role in the evolution of the Universe, from inflation to cosmological p
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Prigogine, I. "Thermodynamics and cosmology." International Journal of Theoretical Physics 28, no. 9 (1989): 927–33. http://dx.doi.org/10.1007/bf00670337.

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Dissertations / Theses on the topic "Cosmology Mathematics"

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Gidelew, Amare Abebe. "Beyond the concordance cosmology." Doctoral thesis, University of Cape Town, 2013. http://hdl.handle.net/11427/4885.

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Solomons, Deon Mark. "Topics in contemporary cosmology." Doctoral thesis, University of Cape Town, 2003. http://hdl.handle.net/11427/5965.

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Goheer, Naureen. "Topics in stringy cosmology." Doctoral thesis, University of Cape Town, 2004. http://hdl.handle.net/11427/4886.

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Includes bibliographical references.<br>This thesis is composed of two distinct research topics. The first topic concerns Randall-Sundrum cosmological models, in particular their isotropization properties at early times. We first study the state space of inflationary braneworld models with exponential potential and identify the past and future attractors within the homogeneous state space. Our main result is that the isotropic high energy BDL model is the generic past attractor in the state space of FLRW braneworld models. In the state space of Bianchi I models both the BDL model and the infla
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Hobbs, Claudia Stacey. "Topics in cosmology." Master's thesis, University of Cape Town, 2001. http://hdl.handle.net/11427/4889.

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Bibliography: leaves 147-153.<br>This thesis contains two distinct parts: the first part introduces and explains the relevant theory and background necessary for the analytic work done on magnetized cosmological perturbations at the end of the first part. The second part discusses some issues related to observational cosmology. After an introductory chapter including an overview of the thesis, PART I starts with a discussion of the covariant approach to cosmology, introducing notation needed in the thesis. The covariant approach to perturbations is then discussed, and the basic inhomogeneity v
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Tivon, Gil Gershon. "Spherically symmetric observational cosmology." Thesis, University of Cape Town, 1985. http://hdl.handle.net/11427/23434.

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Bassett, Bruce Adrian Charles. "Aspects of modern cosmology." Master's thesis, University of Cape Town, 1997. http://hdl.handle.net/11427/17523.

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Includes bibliographical references.<br>The main work of this thesis can be summarised as: ■ An implementation of canonical quantisation to the covariant and gauge-invariant approach to cosmological perturbations. Standard results are reproduced. We discuss the advantages of this formalism over non-covariant and non gauge-invariant formalisms. ■ A characterisation of linear gravitational waves in a covariant way is achieved. The evolution equations for the electric and magnetic parts of the Weyl tensor are shown to be of different order. In particular, the electric part appears to have a third
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Kotze, Jacques. "Forecasting and Optimization in Modern Cosmology." Doctoral thesis, University of Cape Town, 2010. http://hdl.handle.net/11427/4900.

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Cosmology is emerging into a new and exciting period thanks to a wealth of ongoing and planned massive surveys which will deliver exponentially growing volumes of data over the next two decades. As a result of this rapid growth, which exhibits erce competition between di erent surveys due to the spiralling costs, forecasting and optimization have become critical to help best use and bene t from this new boon. In this thesis various aspects of forecasting and optimization are explored, with particular emphasis on, but not limited to, cosmology. We introduce a new optimization algorithm which s
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Elmardi, Maye Y. A. "Topics in relativistic cosmology: Cosmology on the past lightcone and in modified gravitation." Doctoral thesis, University of Cape Town, 2018. http://hdl.handle.net/11427/27877.

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The lightcone gauge is a set of what are called the observational coordinates adapted to our past lightcone. We develop this gauge by producing a perturbed spacetime metric that describes the geometry of our past lightcone where observations are usually obtained. We then connect the produced observational metric to the perturbed Friedmann-Lemaître-Robertson-Walker metric in the standard general gauge or what is the so-called 1+3 gauge. We derive the relations between these perturbations of spacetime in the observational coordinates and those perturbations in the standard metric approach, as we
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Mongwane, Bishop. "Problems in cosmology and numerical relativity." Doctoral thesis, University of Cape Town, 2015. http://hdl.handle.net/11427/15689.

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Includes bibliographical references.<br>A generic feature of most inflationary scenarios is the generation of primordial perturbations. Ordinarily, such perturbations can interact with a weak magnetic field in a plasma, resulting in a wide range of phenomena, such as the parametric excitation of plasma waves by gravitational waves. This mechanism has been studied in different contexts in the literature, such as the possibility of indirect detection of gravitational waves through electromagnetic signatures of the interaction. In this work, we consider this concept in the particular case of magn
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Mustapha, Nazeem. "Dynamical studies in relativistic cosmology." Doctoral thesis, University of Cape Town, 2000. http://hdl.handle.net/11427/7682.

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Bibliography: leaves 158-167.<br>We conduct three investigations in Relativistic Cosmology that is the Einstein Field Equations applied to the largest scales with source field typically taken to be a perfect fluid and fundamental observers comoving with the preferred fluid four-velocity. We show using a tetrad analysis of the evolution equations for the dynamical variables and all the constraints these satisfy in classical General Relativity, that there are no new consistent perfect fluid cosmologies with the kinematic variables and the electric and/or magnetic parts of the Weyl curvature al
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Books on the topic "Cosmology Mathematics"

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Islam, Jamal N. An introduction to mathematical cosmology. 2nd ed. Cambridge University Press, 2004.

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An introduction to mathematical cosmology. Cambridge University Press, 1992.

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Coley, A. A. Dynamical Systems and Cosmology. Springer Netherlands, 2003.

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Cleary, John J. Aristotle and mathematics: Aporetic method in cosmology and metaphysics. E.J. Brill, 1995.

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Grosholz, Emily Rolfe. Starry Reckoning: Reference and Analysis in Mathematics and Cosmology. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-46690-3.

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Iyer, B. R. Geometry, Fields and Cosmology: Techniques and Applications. Springer Netherlands, 1997.

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Roy, Sisir. Statistical Geometry and Applications to Microphysics and Cosmology. Springer Netherlands, 1998.

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Dewdney, A. K. A mathematical mystery tour: Discovering the truth and beauty of the cosmos. Wiley, 1999.

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Farmer, Billy L. Universe alternatives: Emerging concepts of size, age, structure, and behavior. B.L. Farmer, 1995.

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Bergström, L. Cosmology and particle astrophysics. 2nd ed. Springer, 2003.

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Book chapters on the topic "Cosmology Mathematics"

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Chruściel, Piotr T. "Cosmology." In Compact Textbooks in Mathematics. Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-28416-9_6.

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Yang, Yisong. "Strings in Cosmology." In Springer Monographs in Mathematics. Springer New York, 2001. http://dx.doi.org/10.1007/978-1-4757-6548-9_10.

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Lehman-Wilzig, Sam N. "Mathematics, Philosophy, Physics and Cosmology." In Virtuality and Humanity. Springer Singapore, 2021. http://dx.doi.org/10.1007/978-981-16-6526-4_5.

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Hauser, Kai, and Paolo de Bernardis. "Session II: Mathematics — Physics and Cosmology." In Truth in Science, the Humanities and Religion~. Springer Netherlands, 2010. http://dx.doi.org/10.1007/978-1-4020-9896-3_3.

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Rowe, David E. "Debating Relativistic Cosmology, 1917–1924." In A Richer Picture of Mathematics. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-67819-1_24.

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Grosholz, Emily Rolfe. "Literary Cosmology: Plato, Tobin, Major, Turner." In Mathematics, Culture, and the Arts. Springer International Publishing, 2018. http://dx.doi.org/10.1007/978-3-319-98231-1_13.

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Goenner, Hubert F. M. "What Kind of Science is Cosmology?" In Philosophy, Mathematics and Modern Physics. Springer Berlin Heidelberg, 1994. http://dx.doi.org/10.1007/978-3-642-78808-6_10.

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Dragovich, Branko. "On Nonlocal Modified Gravity and Cosmology." In Springer Proceedings in Mathematics & Statistics. Springer Japan, 2014. http://dx.doi.org/10.1007/978-4-431-55285-7_17.

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Longair, Malcolm S. "Astrophysics and Cosmology in the 21st Century." In Mathematics Unlimited — 2001 and Beyond. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-642-56478-9_41.

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Killedar, Madhura, Stefano Borgani, Dunja Fabjan, et al. "A New Strategy for Testing Cosmology with Simulations." In Springer Proceedings in Mathematics & Statistics. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-16238-6_10.

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Conference papers on the topic "Cosmology Mathematics"

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Macías, Alfredo, Abel Camacho, Kerstin E. Kunze, Marc Mars, and Miguel Angel Vázquez-Mozo. "Supersymmetric quantum cosmology." In PHYSICS AND MATHEMATICS OF GRAVITATION: Proceedings of the Spanish Relativity Meeting 2008. AIP, 2009. http://dx.doi.org/10.1063/1.3141313.

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Tsang, Peter H., and Ralf Hofmann. "Non-perturbative quantum field theories and cosmology." In INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS ICNAAM 2019. AIP Publishing, 2020. http://dx.doi.org/10.1063/5.0027186.

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Mello, M. M. C., and R. Klippert. "Standard electromagnetically driven cosmology coupled with fermionic source1)." In PROCEEDINGS OF THE INTERNATIONAL CONFERENCE ON NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014). AIP Publishing LLC, 2015. http://dx.doi.org/10.1063/1.4912540.

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Velazquez, L., B. Droguett-Parada, C. Ordenes-Huanca, et al. "Remarks on thermo-statistical description of gravitational clustering phenomenon in cosmology." In 11TH INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2013: ICNAAM 2013. AIP, 2013. http://dx.doi.org/10.1063/1.4825868.

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Bora, Kalpana. "Some applications of mathematics in theoretical physics - A review." In CETUP* 2015 – WORKSHOP ON DARK MATTER, NEUTRINO PHYSICS AND ASTROPHYSICS AND PPC 2015 – IXTH INTERNATIONAL CONFERENCE ON INTERCONNECTIONS BETWEEN PARTICLE PHYSICS AND COSMOLOGY. Author(s), 2016. http://dx.doi.org/10.1063/1.4954866.

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DUNSBY, PETER. "B5: MATHEMATICAL COSMOLOGY." In Proceedings of the 16th International Conference. WORLD SCIENTIFIC, 2002. http://dx.doi.org/10.1142/9789812776556_0028.

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Rainer, M., and H.-J. Schmidt. "Current Topics in Mathematical Cosmology." In International Seminar. WORLD SCIENTIFIC, 1999. http://dx.doi.org/10.1142/9789814528108.

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Muñoz-Andrade, Juan Daniel. "A Mathematical Model for Plasticity and Cosmology." In MATERIALS PROCESSING AND DESIGN; Modeling, Simulation and Applications; NUMIFORM '07; Proceedings of the 9th International Conference on Numerical Methods in Industrial Forming Processes. AIP, 2007. http://dx.doi.org/10.1063/1.2740995.

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Oliveira, Henrique Pereira. "Spectral Methods in Gravitation and Cosmology." In Fifth International Conference on Mathematical Methods in Physics. Sissa Medialab, 2007. http://dx.doi.org/10.22323/1.031.0029.

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Mena, E., M. Sabido, and S. Pérez-Payán. "Phase space deformed in cosmology." In IX MEXICAN SCHOOL ON GRAVITATION AND MATHEMATICAL PHYSICS: COSMOLOGY FOR THE XXIST CENTURY: Gravitation and Mathematical Physics Division of the Mexican Physical Society (DGFM-SMF). AIP, 2013. http://dx.doi.org/10.1063/1.4817041.

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