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The Gravitational Million Body Problem
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Book Synopsis The Gravitational Million-Body Problem by : Douglas Heggie
Download or read book The Gravitational Million-Body Problem written by Douglas Heggie and published by Cambridge University Press. This book was released on 2003-01-23 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: The gravitational million-body problem is a model for understanding the dynamics of rich star clusters. This text describes the theory astronomers need for studying globular star clusters. After introducing the million-body problem from various view-points, the book systematically develops the tools needed for studying the million-body problems in nature, and introduces the most important theoretical models. Written for graduate students and researchers in astrophysics and astronomy, this text also has important applications in the fields of theoretical physics, computational science and mathematics.
Book Synopsis The Gravitational Million-Body Problem by : Douglas Heggie
Download or read book The Gravitational Million-Body Problem written by Douglas Heggie and published by Cambridge University Press. This book was released on 2003-01-23 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The globular star clusters of the Milky Way contain hundreds of thousands of stars held together by gravitational interactions, and date from the time when the Milky Way was forming. This 2003 text describes the theory astronomers need for studying globular star clusters. The gravitational million-body problem is an idealised model for understanding the dynamics of a cluster with a million stars. After introducing the million-body problem from various view-points, the book systematically develops the tools needed for studying the million-body problems in nature, and introduces the most important theoretical models. Including a comprehensive treatment of few-body interactions, and developing an intuitive but quantitative understanding of the three-body problem, the book introduces numerical methods, relevant software, and current problems. Suitable for graduate students and researchers in astrophysics and astronomy, this text also has important applications in the fields of theoretical physics, computational science and mathematics.
Book Synopsis Black Holes in the Era of Gravitational-Wave Astronomy by : Manuel Arca Sedda
Download or read book Black Holes in the Era of Gravitational-Wave Astronomy written by Manuel Arca Sedda and published by Elsevier. This book was released on 2024-06-03 with total page 510 pages. Available in PDF, EPUB and Kindle. Book excerpt: Black Holes in the Era of Gravitational-Wave Astronomy provides a multidisciplinary, up-to-date view of the physics of black holes, along with an exhaustive overview of crucial open questions and recent advancements in the astrophysics of black holes in the wake of incredible advancements made in the last decade. It includes discussions on improvements in theoretical modeling and observational perspectives for black holes of all sizes, along with associated challenges. The book's structure and themes will enable an entwined understanding of black hole physics at all scales, thus avoiding the compartmentalized view that is typical of more specialized manuscripts and reviews.This book is a complete reference for scientists interested in a multidirectional approach to the study of black holes. It provides substantial discussions about the interplay of different types of black holes and gives professionals a heterogeneous and comprehensive overview of the astrophysics of black holes of all masses. Focuses on recent advances and future perspectives surrounding black holes, providing researchers with a clear view of cutting-edge research Offers readers a multidisciplinary, fresh view on black holes, discussing and reviewing the most recent advancements in theoretical, numerical and observational techniques put in place to detect black holes Provides a bridge among different black hole areas, fostering new collaborations among professionals working in different, but intrinsically interconnected fields
Book Synopsis Handbook of Gravitational Wave Astronomy by : Cosimo Bambi
Download or read book Handbook of Gravitational Wave Astronomy written by Cosimo Bambi and published by Springer Nature. This book was released on 2022-07-02 with total page 1895 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook provides an updated comprehensive description of gravitational wave astronomy. In the first part, it reviews gravitational wave experiments, from ground and space based laser interferometers to pulsar timing arrays and indirect detection from the cosmic microwave background. In the second part, it discusses a number of astrophysical and cosmological gravitational wave sources, including black holes, neutron stars, possible more exotic objects, and sources in the early Universe. The third part of the book reviews the methods to calculate gravitational waveforms. The fourth and last part of the book covers techniques employed in gravitational wave astronomy data analysis. This book represents both a valuable resource for graduate students and an important reference for researchers in gravitational wave astronomy.
Download or read book Number-Crunching written by Paul J. Nahin and published by Princeton University Press. This book was released on 2011-08-08 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: More stimulating mathematics puzzles from bestselling author Paul Nahin How do technicians repair broken communications cables at the bottom of the ocean without actually seeing them? What's the likelihood of plucking a needle out of a haystack the size of the Earth? And is it possible to use computers to create a universal library of everything ever written or every photo ever taken? These are just some of the intriguing questions that best-selling popular math writer Paul Nahin tackles in Number-Crunching. Through brilliant math ideas and entertaining stories, Nahin demonstrates how odd and unusual math problems can be solved by bringing together basic physics ideas and today's powerful computers. Some of the outcomes discussed are so counterintuitive they will leave readers astonished. Nahin looks at how the art of number-crunching has changed since the advent of computers, and how high-speed technology helps to solve fascinating conundrums such as the three-body, Monte Carlo, leapfrog, and gambler's ruin problems. Along the way, Nahin traverses topics that include algebra, trigonometry, geometry, calculus, number theory, differential equations, Fourier series, electronics, and computers in science fiction. He gives historical background for the problems presented, offers many examples and numerous challenges, supplies MATLAB codes for all the theories discussed, and includes detailed and complete solutions. Exploring the intimate relationship between mathematics, physics, and the tremendous power of modern computers, Number-Crunching will appeal to anyone interested in understanding how these three important fields join forces to solve today's thorniest puzzles.
Book Synopsis Poincare and the Three Body Problem by : June Barrow-Green
Download or read book Poincare and the Three Body Problem written by June Barrow-Green and published by American Mathematical Soc.. This book was released on 1997 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: Poincare's famous memoir on the three body problem arose from his entry in the competition celebrating the 60th birthday of King Oscar of Sweden and Norway. His essay won the prize and was set up in print as a paper in Acta Mathematica when it was found to contain a deep and critical error. In correcting this error Poincare discovered mathematical chaos, as is now clear from June Barrow-Green's pioneering study of a copy of the original memoir annotated by Poincare himself, recently discovered in the Institut Mittag-Leffler in Stockholm. Poincare and the Three Body Problem opens with a discussion of the development of the three body problem itself and Poincare's related earlier work. The book also contains intriguing insights into the contemporary European mathematical community revealed by the workings of the competition. After an account of the discovery of the error and a detailed comparative study of both the original memoir and its rewritten version, the book concludes with an account of the final memoir's reception, influence and impact, and an examination of Poincare's subsequent highly influential work in celestial mechanics.
Book Synopsis Computational Science – ICCS 2023 by : Jiří Mikyška
Download or read book Computational Science – ICCS 2023 written by Jiří Mikyška and published by Springer Nature. This book was released on 2023-06-30 with total page 751 pages. Available in PDF, EPUB and Kindle. Book excerpt: The five-volume set LNCS 14073-14077 constitutes the proceedings of the 23rd International Conference on Computational Science, ICCS 2023, held in Prague, Czech Republic, during July 3-5, 2023. The total of 188 full papers and 94 short papers presented in this book set were carefully reviewed and selected from 530 submissions. 54 full and 37 short papers were accepted to the main track; 134 full and 57 short papers were accepted to the workshops/thematic tracks. The theme for 2023, "Computation at the Cutting Edge of Science", highlights the role of Computational Science in assisting multidisciplinary research. This conference was a unique event focusing on recent developments in scalable scientific algorithms, advanced software tools; computational grids; advanced numerical methods; and novel application areas. These innovative novel models, algorithms, and tools drive new science through efficient application in physical systems, computational and systems biology, environmental systems, finance, and others.
Book Synopsis Workshop on Molecular Dynamics on Parallel Computers by : Rdiger Esser
Download or read book Workshop on Molecular Dynamics on Parallel Computers written by Rdiger Esser and published by World Scientific. This book was released on 2000 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: Molecular dynamics is a well-established technique for simulating complex many-particle systems in many areas of physics, chemistry, and astrophysics. The huge computational requirements for simulations of large systems, especially with long-range forces, demand the use of massively parallel computers. Designing efficient algorithms for these problems is a highly non-trivial task. This book contains the invited talks and abstracts presented at a conference by more than 100 researchers from various fields: computer science, solid state physics, high energy physics, polymers, biochemistry, granular materials and astrophysics. Most of the contributions have been written by users of massively parallel computers and deal with practical issues, but there are also contributions tackling more fundamental algorithmic problems.
Book Synopsis Meshfree Methods for Partial Differential Equations IV by : Michael Griebel
Download or read book Meshfree Methods for Partial Differential Equations IV written by Michael Griebel and published by Springer Science & Business Media. This book was released on 2008-10-16 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: The numerical treatment of partial differential equations with particle methods and meshfree discretization techniques is a active research field both in the mathematics and engineering community. This volume of LNCSE is a collection of the proceedings papers of the Fourth International Workshop on Meshfree Methods held in September 2007 in Bonn.
Book Synopsis Classical Newtonian Gravity by : Roberto A. Capuzzo Dolcetta
Download or read book Classical Newtonian Gravity written by Roberto A. Capuzzo Dolcetta and published by Springer Nature. This book was released on 2019-09-23 with total page 176 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook offers a readily comprehensible introduction to classical Newtonian gravitation, which is fundamental for an understanding of classical mechanics and is particularly relevant to Astrophysics. The opening chapter recalls essential elements of vectorial calculus, especially to provide the formalism used in subsequent chapters. In chapter two Classical Newtonian gravity theory for one point mass and for a generic number N of point masses is then presented and discussed. The theory for point masses is naturally extended to the continuous case. The third chapter addresses the paradigmatic case of spherical symmetry in the mass density distribution (central force), with introduction of the useful tool of qualitative treatment of motion. Subsequent chapters discuss the general case of non-symmetric mass density distribution and develop classical potential theory, with elements of harmonic theory, which is essential to understand the potential development in series of the gravitational potential, the subject of the fourth chapter. Finally, in the last chapter the specific case of motion of a satellite around the earth is considered. Examples and exercises are presented throughout the book to clarify aspects of the theory. The book is aimed at those who wish to progress further beyond an initial bachelor degree, onward to a master degree, and a PhD. It is also a valuable resource for postgraduates and active researchers in the field.
Book Synopsis Highlights of Astronomy: Volume 14 by : Karel van der Hucht
Download or read book Highlights of Astronomy: Volume 14 written by Karel van der Hucht and published by Cambridge University Press. This book was released on 2008-01-21 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recording the proceedings of the IAU XXVI General Assembly, this volume of the IAU Highlights of Astronomy covers virtually all aspects of modern astrophysics as discussed by 2400 participants from 73 countries. Notably, the common aspects of astrophysical phenomena known to exist in widely differing interstellar environments is thoroughly examined, providing fertile cross correlation from one specialisation to another. This text highlights the importance of the triennial IAU General Assemblies in bringing together the work of observers and theoreticians in widely different fields, but working towards a common goal: understanding the physics of the Universe. Together with the Proceedings of the IAU Symposia 235-240, this volume examines all of the astrophysics presented at the General Assembly.
Book Synopsis Dynamics and Evolution of Galactic Nuclei by : David Merritt
Download or read book Dynamics and Evolution of Galactic Nuclei written by David Merritt and published by Princeton University Press. This book was released on 2013-07-21 with total page 566 pages. Available in PDF, EPUB and Kindle. Book excerpt: Deep within galaxies like the Milky Way, astronomers have found a fascinating legacy of Einstein's general theory of relativity: supermassive black holes. Connected to the evolution of the galaxies that contain these black holes, galactic nuclei are the sites of uniquely energetic events, including quasars, stellar tidal disruptions, and the generation of gravitational waves. This textbook is the first comprehensive introduction to dynamical processes occurring in the vicinity of supermassive black holes in their galactic environment. Filling a critical gap, it is an authoritative resource for astrophysics and physics graduate students, and researchers focusing on galactic nuclei, the astrophysics of massive black holes, galactic dynamics, and gravitational wave detection. It is an ideal text for an advanced graduate-level course on galactic nuclei and as supplementary reading in graduate-level courses on high-energy astrophysics and galactic dynamics. David Merritt summarizes the theoretical work of the last three decades on the evolution of galactic nuclei, the formation of massive black holes, and the interaction between black holes and stars. He explores in depth such important topics as observations of galactic nuclei, dynamical models, weighing black holes, motion near supermassive black holes, evolution of nuclei due to gravitational encounters, loss cone theory, and binary supermassive black holes. Self-contained and up-to-date, the textbook includes a summary of the current literature and previously unpublished work by the author. For researchers working on active galactic nuclei, galaxy evolution, and the generation of gravitational waves, this book will be an essential resource.
Book Synopsis Dynamics of Galaxies by : Giuseppe Bertin
Download or read book Dynamics of Galaxies written by Giuseppe Bertin and published by Cambridge University Press. This book was released on 2014-04-21 with total page 487 pages. Available in PDF, EPUB and Kindle. Book excerpt: Our understanding of galaxies, the building blocks of the Universe has advanced significantly in recent years. New observations from ground- and space-based telescopes, the discovery of dark matter, and new insights into its distribution have been instrumental in this. This textbook provides graduate students with a modern introduction to the gravitationally determined structure and evolution of galaxies. Readers will also benefit from detailed discussions of the issues involved in the process of modeling complex stellar systems. Additionally, the text provides an accessible framework for interpreting observations and devising new observational tests. Based on the author's extensive teaching experience, this second edition features an up-to-date view of basic phenomenology, a discussion of the structure of dark halos in galaxies, the dynamics of quasi-relaxed stellar systems and globular clusters, galaxies and gravitational lensing and an introduction to self-gravitating accretion disks. Extended problem sets are available from the accompanying resources website: www.cambridge.org/9781107000544.
Book Synopsis Computational Science and Its Applications – ICCSA 2019 by : Sanjay Misra
Download or read book Computational Science and Its Applications – ICCSA 2019 written by Sanjay Misra and published by Springer. This book was released on 2019-06-28 with total page 845 pages. Available in PDF, EPUB and Kindle. Book excerpt: The six volumes LNCS 11619-11624 constitute the refereed proceedings of the 19th International Conference on Computational Science and Its Applications, ICCSA 2019, held in Saint Petersburg, Russia, in July 2019. The 64 full papers, 10 short papers and 259 workshop papers presented were carefully reviewed and selected form numerous submissions. The 64 full papers are organized in the following five general tracks: computational methods, algorithms and scientific applications; high performance computing and networks; geometric modeling, graphics and visualization; advanced and emerging applications; and information systems and technologies. The 259 workshop papers were presented at 33 workshops in various areas of computational sciences, ranging from computational science technologies to specific areas of computational sciences, such as software engineering, security, artificial intelligence and blockchain technologies.
Book Synopsis Astrophysical Hydrodynamics by : Steven N. Shore
Download or read book Astrophysical Hydrodynamics written by Steven N. Shore and published by John Wiley & Sons. This book was released on 2008-06-25 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This latest edition of the proven and comprehensive treatment on the topic -- from the bestselling author of "Tapestry of Modern Astrophysics" -- has been updated and revised to reflect the newest research results. Suitable for AS0000 and AS0200 courses, as well as advanced astrophysics and astronomy lectures, this is an indispensable theoretical backup for studies on celestial body formation and astrophysics. Includes exercises with solutions.
Book Synopsis Advances in Chemical Physics: Special Volume in Memory of Ilya Prigogine, Volume 135 by : Stuart A. Rice
Download or read book Advances in Chemical Physics: Special Volume in Memory of Ilya Prigogine, Volume 135 written by Stuart A. Rice and published by John Wiley & Sons. This book was released on 2007-04-10 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This series provides the chemical physics field with a forum for critical, authoritative evaluations of advances in every area of the discipline. This stand-alone special topics volume reports recent advances in electron-transfer research with significant, up-to-date chapters by internationally recognized researchers.
Book Synopsis The Cambridge N-Body Lectures by : Sverre Aarseth
Download or read book The Cambridge N-Body Lectures written by Sverre Aarseth and published by Springer. This book was released on 2008-09-02 with total page 405 pages. Available in PDF, EPUB and Kindle. Book excerpt: Published under the auspices of the Royal Astronomical Society, this volume contains a set of extensive school tested lectures, with the aim to give a coherent and thorough background knowledge of the subject and to introduce the latest developments in N-body computational astrophysics. The topics cover a wide range from the classical few-body problem with discussions of resonance, chaos and stability to realistic modelling of star clusters as well as descriptions of codes, algorithms and special hardware for N-body simulations. This collection of topics, related to the gravitational N-body problem, will prove useful to both students and researchers in years to come. 1) Published under the auspices of the Royal Astronomical Society.
