Mathematical Foundations And Numerical Analysis Of The Dynamics Of An Isotropic Universe

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Mathematical Foundations and Numerical Analysis of the Dynamics of an Isotropic Universe

Author : Sergio Benenti
Publisher : Springer Nature
ISBN 13 : 3031640330
Total Pages : 161 pages
Book Rating : 4.0/5 (316 download)

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Book Synopsis Mathematical Foundations and Numerical Analysis of the Dynamics of an Isotropic Universe by : Sergio Benenti

Download or read book Mathematical Foundations and Numerical Analysis of the Dynamics of an Isotropic Universe written by Sergio Benenti and published by Springer Nature. This book was released on 2024 with total page 161 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 findings from a long-term cosmology research project, aiming to clarify significant 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 field. Standard cosmological approaches rely on principles like Weyl's principle, homogeneity, and isotropy, but may overlook discerning purely geometrical properties from those dependent on field 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."

Physical Foundations of Cosmology

Author : Viatcheslav Mukhanov
Publisher : Cambridge University Press
ISBN 13 : 1139447114
Total Pages : 454 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Physical Foundations of Cosmology by : Viatcheslav Mukhanov

Download or read book Physical Foundations of Cosmology written by Viatcheslav Mukhanov and published by Cambridge University Press. This book was released on 2005-11-10 with total page 454 pages. Available in PDF, EPUB and Kindle. Book excerpt: Inflationary cosmology has been developed over the last twenty years to remedy serious shortcomings in the standard hot big bang model of the universe. This textbook, first published in 2005, explains the basis of modern cosmology and shows where the theoretical results come from. The book is divided into two parts; the first deals with the homogeneous and isotropic model of the Universe, the second part discusses how inhomogeneities can explain its structure. Established material such as the inflation and quantum cosmological perturbation are presented in great detail, however the reader is brought to the frontiers of current cosmological research by the discussion of more speculative ideas. An ideal textbook for both advanced students of physics and astrophysics, all of the necessary background material is included in every chapter and no prior knowledge of general relativity and quantum field theory is assumed.

Quantum Computing:An Environment for Intelligent Large Scale Real Application

Author : Aboul Ella Hassanien
Publisher : Springer
ISBN 13 : 3319636391
Total Pages : 502 pages
Book Rating : 4.3/5 (196 download)

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Book Synopsis Quantum Computing:An Environment for Intelligent Large Scale Real Application by : Aboul Ella Hassanien

Download or read book Quantum Computing:An Environment for Intelligent Large Scale Real Application written by Aboul Ella Hassanien and published by Springer. This book was released on 2017-10-13 with total page 502 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book highlights practical quantum key distribution systems and research on the implementations of next-generation quantum communication, as well as photonic quantum device technologies. It discusses how the advances in quantum computing and quantum physics have allowed the building, launching and deploying of space exploration systems that are capable of more and more as they become smaller and lighter. It also presents theoretical and experimental research on the potential and limitations of secure communication and computation with quantum devices, and explores how security can be preserved in the presence of a quantum computer, and how to achieve long-distance quantum communication. The development of a real quantum computer is still in the early stages, but a number of research groups have investigated the theoretical possibilities of such computers.

Mathematical Reviews

Author :
Publisher :
ISBN 13 :
Total Pages : 840 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Mathematical Reviews by :

Download or read book Mathematical Reviews written by and published by . This book was released on 2007 with total page 840 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Scientific and Technical Aerospace Reports

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992-06 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

A First Course in the Numerical Analysis of Differential Equations

Author : A. Iserles
Publisher : Cambridge University Press
ISBN 13 : 0521734908
Total Pages : 481 pages
Book Rating : 4.5/5 (217 download)

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Book Synopsis A First Course in the Numerical Analysis of Differential Equations by : A. Iserles

Download or read book A First Course in the Numerical Analysis of Differential Equations written by A. Iserles and published by Cambridge University Press. This book was released on 2009 with total page 481 pages. Available in PDF, EPUB and Kindle. Book excerpt: lead the reader to a theoretical understanding of the subject without neglecting its practical aspects. The outcome is a textbook that is mathematically honest and rigorous and provides its target audience with a wide range of skills in both ordinary and partial differential equations." --Book Jacket.

Introduction to Cosmology

Author : Barbara Ryden
Publisher : Cambridge University Press
ISBN 13 : 1107154839
Total Pages : 277 pages
Book Rating : 4.1/5 (71 download)

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Book Synopsis Introduction to Cosmology by : Barbara Ryden

Download or read book Introduction to Cosmology written by Barbara Ryden and published by Cambridge University Press. This book was released on 2017 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: A substantial update of this award-winning and highly regarded cosmology textbook, for advanced undergraduates in physics and astronomy.

Cosmology

Author : Daniel Baumann
Publisher : Cambridge University Press
ISBN 13 : 1108952275
Total Pages : 486 pages
Book Rating : 4.1/5 (89 download)

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Book Synopsis Cosmology by : Daniel Baumann

Download or read book Cosmology written by Daniel Baumann and published by Cambridge University Press. This book was released on 2022-06-30 with total page 486 pages. Available in PDF, EPUB and Kindle. Book excerpt: The author – a leading theoretical cosmologist – expands on his widely acclaimed lecture notes in this self-contained textbook, suitable for the advanced undergraduate or starting graduate level. Presenting the key theoretical foundations of cosmology and describing the observations that have turned the subject into a precision science, the author keeps the student in mind on every page by explaining concepts step-by-step, in an approachable manner. After describing the dynamics of the homogeneous universe, the book traces the evolution of small density fluctuations, which were created quantum-mechanically during inflation and are today observed in the cosmic microwave background and the large-scale structure of the universe. The book is ideally suited as a course companion or for self-study. With all necessary background material covered, students have everything they need to establish an unrivalled understanding of the subject. Complete with many worked examples, figures, and homework problems, this textbook is a definitive resource for advanced students in physics, astronomy and applied mathematics.

Galactic Dynamics

Author : James Binney
Publisher : Princeton University Press
ISBN 13 : 1400828724
Total Pages : 902 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Galactic Dynamics by : James Binney

Download or read book Galactic Dynamics written by James Binney and published by Princeton University Press. This book was released on 2011-10-30 with total page 902 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since it was first published in 1987, Galactic Dynamics has become the most widely used advanced textbook on the structure and dynamics of galaxies and one of the most cited references in astrophysics. Now, in this extensively revised and updated edition, James Binney and Scott Tremaine describe the dramatic recent advances in this subject, making Galactic Dynamics the most authoritative introduction to galactic astrophysics available to advanced undergraduate students, graduate students, and researchers. Every part of the book has been thoroughly overhauled, and many sections have been completely rewritten. Many new topics are covered, including N-body simulation methods, black holes in stellar systems, linear stability and response theory, and galaxy formation in the cosmological context. Binney and Tremaine, two of the world's leading astrophysicists, use the tools of theoretical physics to describe how galaxies and other stellar systems work, succinctly and lucidly explaining theoretical principles and their applications to observational phenomena. They provide readers with an understanding of stellar dynamics at the level needed to reach the frontiers of the subject. This new edition of the classic text is the definitive introduction to the field. ? A complete revision and update of one of the most cited references in astrophysics Provides a comprehensive description of the dynamical structure and evolution of galaxies and other stellar systems Serves as both a graduate textbook and a resource for researchers Includes 20 color illustrations, 205 figures, and more than 200 problems Covers the gravitational N-body problem, hierarchical galaxy formation, galaxy mergers, dark matter, spiral structure, numerical simulations, orbits and chaos, equilibrium and stability of stellar systems, evolution of binary stars and star clusters, and much more Companion volume to Galactic Astronomy, the definitive book on the phenomenology of galaxies and star clusters

Galactic Astronomy

Author : James Binney
Publisher : Princeton University Press
ISBN 13 : 0691233322
Total Pages : 818 pages
Book Rating : 4.6/5 (912 download)

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Book Synopsis Galactic Astronomy by : James Binney

Download or read book Galactic Astronomy written by James Binney and published by Princeton University Press. This book was released on 2021-07-13 with total page 818 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is the definitive treatment of the phenomenology of galaxies--a clear and comprehensive volume that takes full account of the extraordinary recent advances in the field. The book supersedes the classic text Galactic Astronomy that James Binney wrote with Dimitri Mihalas, and complements Galactic Dynamics by Binney and Scott Tremaine. It will be invaluable to researchers and is accessible to any student who has a background in undergraduate physics. The book draws on observations both of our own galaxy, the Milky Way, and of external galaxies. The two sources are complementary, since the former tends to be highly detailed but difficult to interpret, while the latter is typically poorer in quality but conceptually simpler to understand. Binney and Merrifield introduce all astronomical concepts necessary to understand the properties of galaxies, including coordinate systems, magnitudes and colors, the phenomenology of stars, the theory of stellar and chemical evolution, and the measurement of astronomical distances. The book's core covers the phenomenology of external galaxies, star clusters in the Milky Way, the interstellar media of external galaxies, gas in the Milky Way, the structure and kinematics of the stellar components of the Milky Way, and the kinematics of external galaxies. Throughout, the book emphasizes the observational basis for current understanding of galactic astronomy, with references to the original literature. Offering both new information and a comprehensive view of its subject, it will be an indispensable source for professionals, as well as for graduate students and advanced undergraduates.

The Finite Volume Method in Computational Fluid Dynamics

Author : F. Moukalled
Publisher : Springer
ISBN 13 : 3319168746
Total Pages : 799 pages
Book Rating : 4.3/5 (191 download)

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Book Synopsis The Finite Volume Method in Computational Fluid Dynamics by : F. Moukalled

Download or read book The Finite Volume Method in Computational Fluid Dynamics written by F. Moukalled and published by Springer. This book was released on 2015-08-13 with total page 799 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook explores both the theoretical foundation of the Finite Volume Method (FVM) and its applications in Computational Fluid Dynamics (CFD). Readers will discover a thorough explanation of the FVM numerics and algorithms used for the simulation of incompressible and compressible fluid flows, along with a detailed examination of the components needed for the development of a collocated unstructured pressure-based CFD solver. Two particular CFD codes are explored. The first is uFVM, a three-dimensional unstructured pressure-based finite volume academic CFD code, implemented within Matlab. The second is OpenFOAM®, an open source framework used in the development of a range of CFD programs for the simulation of industrial scale flow problems. With over 220 figures, numerous examples and more than one hundred exercise on FVM numerics, programming, and applications, this textbook is suitable for use in an introductory course on the FVM, in an advanced course on numerics, and as a reference for CFD programmers and researchers.

The Dynamic Universe

Author : Tuomo Suntola
Publisher : Createspace Independent Publishing Platform
ISBN 13 : 9781725863415
Total Pages : 310 pages
Book Rating : 4.8/5 (634 download)

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Book Synopsis The Dynamic Universe by : Tuomo Suntola

Download or read book The Dynamic Universe written by Tuomo Suntola and published by Createspace Independent Publishing Platform. This book was released on 2018-08-17 with total page 310 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Dynamic Universe theory is a holistic description of the observable physical reality. Like the Copernican revolution, the DU creates a system perspective allowing straightforward mathematics and a conceivable cosmological picture of the universe - and gives precise predictions to observables without dark energy or other additional parameters. It is a unifying theory converting spacetime in variable coordinates into dynamic space in absolute coordinates. The Dynamic Universe theory relies on an overall zero-energy balance in space and the conservation of the total energy in interactions in space. Instead of the relativity of an object to the observer, relativity in DU space means relativity of local to the whole - relativity appears a measure of the locally available share of the total energy in space.

Mathematics for Physics

Author : Michael Stone
Publisher : Cambridge University Press
ISBN 13 : 1139480618
Total Pages : 821 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Mathematics for Physics by : Michael Stone

Download or read book Mathematics for Physics written by Michael Stone and published by Cambridge University Press. This book was released on 2009-07-09 with total page 821 pages. Available in PDF, EPUB and Kindle. Book excerpt: An engagingly-written account of mathematical tools and ideas, this book provides a graduate-level introduction to the mathematics used in research in physics. The first half of the book focuses on the traditional mathematical methods of physics – differential and integral equations, Fourier series and the calculus of variations. The second half contains an introduction to more advanced subjects, including differential geometry, topology and complex variables. The authors' exposition avoids excess rigor whilst explaining subtle but important points often glossed over in more elementary texts. The topics are illustrated at every stage by carefully chosen examples, exercises and problems drawn from realistic physics settings. These make it useful both as a textbook in advanced courses and for self-study. Password-protected solutions to the exercises are available to instructors at www.cambridge.org/9780521854030.

Numerical Simulation in Molecular Dynamics

Author : Michael Griebel
Publisher : Springer Science & Business Media
ISBN 13 : 3540680950
Total Pages : 472 pages
Book Rating : 4.5/5 (46 download)

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Book Synopsis Numerical Simulation in Molecular Dynamics by : Michael Griebel

Download or read book Numerical Simulation in Molecular Dynamics written by Michael Griebel and published by Springer Science & Business Media. This book was released on 2007-08-16 with total page 472 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book details the necessary numerical methods, the theoretical background and foundations and the techniques involved in creating computer particle models, including linked-cell method, SPME-method, tree codes, amd multipol technique. It illustrates modeling, discretization, algorithms and their parallel implementation with MPI on computer systems with distributed memory. The text offers step-by-step explanations of numerical simulation, providing illustrative code examples. With the description of the algorithms and the presentation of the results of various simulations from fields such as material science, nanotechnology, biochemistry and astrophysics, the reader of this book will learn how to write programs capable of running successful experiments for molecular dynamics.

Cosmology

Author : Steven Weinberg
Publisher : Oxford University Press, USA
ISBN 13 : 0198526822
Total Pages : 612 pages
Book Rating : 4.1/5 (985 download)

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Book Synopsis Cosmology by : Steven Weinberg

Download or read book Cosmology written by Steven Weinberg and published by Oxford University Press, USA. This book was released on 2008-02-21 with total page 612 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a uniquely comprehensive and detailed treatment of the theoretical and observational foundations of modern cosmology, by a Nobel Laureate in Physics. It gives up-to-date and self contained accounts of the theories and observations that have made the past few decades a golden age of cosmology.

Introduction to Symmetry Analysis Paperback with CD-ROM

Author : Brian Cantwell
Publisher : Cambridge University Press
ISBN 13 : 9780521777407
Total Pages : 660 pages
Book Rating : 4.7/5 (774 download)

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Book Synopsis Introduction to Symmetry Analysis Paperback with CD-ROM by : Brian Cantwell

Download or read book Introduction to Symmetry Analysis Paperback with CD-ROM written by Brian Cantwell and published by Cambridge University Press. This book was released on 2002-09-23 with total page 660 pages. Available in PDF, EPUB and Kindle. Book excerpt: An introduction to symmetry analysis for graduate students in science, engineering and applied mathematics.

Relativistic Hydrodynamics

Author : Luciano Rezzolla
Publisher : OUP Oxford
ISBN 13 : 0191509914
Total Pages : 752 pages
Book Rating : 4.1/5 (915 download)

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Book Synopsis Relativistic Hydrodynamics by : Luciano Rezzolla

Download or read book Relativistic Hydrodynamics written by Luciano Rezzolla and published by OUP Oxford. This book was released on 2013-09-26 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relativistic hydrodynamics is a very successful theoretical framework to describe the dynamics of matter from scales as small as those of colliding elementary particles, up to the largest scales in the universe. This book provides an up-to-date, lively, and approachable introduction to the mathematical formalism, numerical techniques, and applications of relativistic hydrodynamics. The topic is typically covered either by very formal or by very phenomenological books, but is instead presented here in a form that will be appreciated both by students and researchers in the field. The topics covered in the book are the results of work carried out over the last 40 years, which can be found in rather technical research articles with dissimilar notations and styles. The book is not just a collection of scattered information, but a well-organized description of relativistic hydrodynamics, from the basic principles of statistical kinetic theory, down to the technical aspects of numerical methods devised for the solution of the equations, and over to the applications in modern physics and astrophysics. Numerous figures, diagrams, and a variety of exercises aid the material in the book. The most obvious applications of this work range from astrophysics (black holes, neutron stars, gamma-ray bursts, and active galaxies) to cosmology (early-universe hydrodynamics and phase transitions) and particle physics (heavy-ion collisions). It is often said that fluids are either seen as solutions of partial differential equations or as "wet". Fluids in this book are definitely wet, but the mathematical beauty of differential equations is not washed out.