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101 0 $aeng
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182   $cc$2rdamedia
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200 10$aMathematical Foundations and Numerical Analysis of the Dynamics of an Isotropic Universe /$fby Sergio Benenti
205   $a1st ed. 2024.
210  1$aCham :$cSpringer Nature Switzerland :$cImprint: Springer,$d2024.
215   $a1 online resource (160 pages)
311 08$aPrint version: Benenti, Sergio Mathematical Foundations and Numerical Analysis of the Dynamics of an Isotropic Universe Cham : Springer,c2024 9783031640322 
327   $a1. Geometry of the cosmic space-time -- 2. Bridge-postulates -- 3. Relativistic cosmic dynamics -- 4. Numerical cosmology -- 5. Signal transmission and visibility -- 6. Cosmic redshift -- 7. Appendices.
330   $aThis book is an enhanced and expanded English edition of the treatise ?Fondamenti matematici e analisi numerica della dinamica di un Universo isotropo,? published by the Accademia delle Scienze di Torino in volume no. 42-43, 2018-2019. The book summarizes some of the principal ?ndings from a long-term cosmology research project, aiming to clarify signi?cant results through clear mathematical postulates. Despite efforts, a single mathematical model accurately describing the universe?s evolution remains elusive due to early universe complexity and numerous observational parameters. Over the past century, various models have been proposed and discarded, illustrated by debates on the cosmological constant and spatial curvature assumptions. Currently, many models lack clear foundations, causing confusion in the ?eld. Standard cosmological approaches rely on principles like Weyl?s principle, homogeneity, and isotropy, but may overlook discerning purely geometrical properties from those dependent on ?eld equations. This book aims to bring order to cosmology by starting from understandable mathematical postulates, leading to theorems. Disagreements on postulates can prompt adjustments or alternative approaches. Physics often consists of deductive theories lacking explicit delineation of underlying concepts and postulates, a criticism relevant to cosmological theories. Despite a late 1990s consensus on the Lambda cold dark matter model, the absence of a logical-deductive structure in literature complicates understanding, leading some to humorously dub it the ?expanding Universe and expanding confusion.? .
606   $aMathematical physics
606   $aNumerical analysis
606   $aGeometry
606   $aDynamics
606   $aCosmology
606   $aTheoretical, Mathematical and Computational Physics
606   $aNumerical Analysis
606   $aGeometry
606   $aDynamical Systems
606   $aCosmology
615  0$aMathematical physics.
615  0$aNumerical analysis.
615  0$aGeometry.
615  0$aDynamics.
615  0$aCosmology.
615 14$aTheoretical, Mathematical and Computational Physics.
615 24$aNumerical Analysis.
615 24$aGeometry.
615 24$aDynamical Systems.
615 24$aCosmology.
676   $a530.11
700   $aBenenti$b Sergio$0306340
801  0$bMiAaPQ
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996   $aMathematical Foundations and Numerical Analysis of the Dynamics of an Isotropic Universe$94201714
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