Mathematical Foundations and Numerical Analysis of the Dynamics of an Isotropic

Description: Mathematical Foundations and Numerical Analysis of the Dynamics of an Isotropic Universe by Sergio Benenti Estimated delivery 3-12 business days Format Hardcover Condition Brand New Description 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." Publisher Description This 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 signicant results through clear mathematical postulates. Despite efforts, a single mathematical model accurately describing the universes 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 Weyls 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." Author Biography Sergio Benenti graduated in mathematics with honors in 1968. A year later he became a permanent assistant professor of Rational Mechanics, and in 1980 he was appointed full professor of Rational Mechanics. In 2021 he was awarded the title of professor emeritus. He has been a member of the Turin Academy of Sciences since 1987. His scientific activity has covered several areas of research. First, the separation of the variables of the Hamilton-Jacobi equation, solving by geometrical methods the long-standing problem posed by Levi-Civita. These results, known as Benenti systems, Benenti theorem, and Benenti tensor, have been widely accepted by researchers and have led to numerous publications. He also applied his theory to exact solutions of Einsteins equations, providing particular results that later proved to be useful in the study of black holes. Meanwhile, he worked extensively on symplectic geometry and its applications to mathematical physics. The Steklof Math Institute published (in Russian, 2009) the text of a course held in Turin on this topic. This book was followed by a revisited and expanded English version, published by Springer under the title Hamiltonian Structures and Generating Families (2011). He recently explored nonholonomic mechanical systems, providing a correct and general setting of Gausss Principle. In addition, he presented the first feasible example of a nonlinear nonholonomic system, showing the inconsistency of several examples so far present in literature. Finally, in the last years, he focused on mathematical models of cosmology, which is currently his main area of research. Details ISBN 3031640322 ISBN-13 9783031640322 Title Mathematical Foundations and Numerical Analysis of the Dynamics of an Isotropic Universe Author Sergio Benenti Format Hardcover Year 2024 Pages 143 Edition 2024th Publisher Springer International Publishing AG GE_Item_ID:161357699; About Us Grand Eagle Retail is the ideal place for all your shopping needs! With fast shipping, low prices, friendly service and over 1,000,000 in stock items - you're bound to find what you want, at a price you'll love! Shipping & Delivery Times Shipping is FREE to any address in USA. Please view eBay estimated delivery times at the top of the listing. Deliveries are made by either USPS or Courier. We are unable to deliver faster than stated. International deliveries will take 1-6 weeks. NOTE: We are unable to offer combined shipping for multiple items purchased. This is because our items are shipped from different locations. 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