Download or read book Structure and Randomness written by Terence Tao and published by American Mathematical Soc.. This book was released on with total page 316 pages. Available in PDF, EPUB and Kindle. Book excerpt: "In 2007, Terry Tao began a mathematical blog, as an outgrowth of his own website at UCLA. This book is based on a selection of articles from the first year of that blog. These articles discuss a wide range of mathematics and its applications, ranging from expository articles on quantum mechanics, Einstein's equation E = mc[superscript 2], or compressed sensing, to open problems in analysis, combinatorics, geometry, number theory, and algebra, to lecture series on random matrices, Fourier analysis, or the dichotomy between structure and randomness that is present in many subfields of mathematics, to more philosophical discussions on such topics as the interplay between finitary and infinitary in analysis. Some selected commentary from readers of the blog has also been included at the end of each article.
Download or read book The Electron And The Lamb Shift written by Francisco Andre Correa Alegria and published by World Scientific. This book was released on 2024-08-16 with total page 434 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents a detailed analytical description of the derivation of the Lamb shift in the Hydrogen atom using quantum field theory. This shift in energy levels, relative to what is predicted in traditional particle physics theory, is due to the phenomena of vacuum fluctuations and vacuum polarization which are accounted for in the quantum field theory as applied in particle physics. The derivation reported is done using perturbation theory and extends up to 4th order. This derivation has been carried out to higher orders by scientists all over the world throughout several decades and agrees exceptionally well with experimental data demonstrating the physical reality of vacuum fluctuations. This book also includes a historical overview of the understanding of the atom and its interaction with electromagnetic radiation as it was in the first half of the 20th century, when the calculation of the Lamb shift was first attempted.
Download or read book Tables of Rate and Equilibrium Constants of Heterolytic Organic Reactions written by and published by . This book was released on 1976 with total page 816 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Nuclear Choices for the Twenty First Century written by Richard Wolfson and published by MIT Press. This book was released on 2021-03-23 with total page 497 pages. Available in PDF, EPUB and Kindle. Book excerpt: An authoritative and unbiased guide to nuclear technology and the controversies that surround it. Are you for nuclear power or against it? What's the basis of your opinion? Did you know a CT scan gives you some 2 millisieverts of radiation? Do you know how much a millisievert is? Does irradiation make foods safer or less safe? What is the point of a bilateral Russia-US nuclear weapons treaty in a multipolar world? These are nuclear questions that call for nuclear choices, and this book equips citizens to make these choices informed ones. It explains, clearly and accessibly, the basics of nuclear technology and describes the controversies surrounding its use.
Download or read book Log Gases and Random Matrices LMS 34 written by Peter J. Forrester and published by Princeton University Press. This book was released on 2010-07-01 with total page 808 pages. Available in PDF, EPUB and Kindle. Book excerpt: Random matrix theory, both as an application and as a theory, has evolved rapidly over the past fifteen years. Log-Gases and Random Matrices gives a comprehensive account of these developments, emphasizing log-gases as a physical picture and heuristic, as well as covering topics such as beta ensembles and Jack polynomials. Peter Forrester presents an encyclopedic development of log-gases and random matrices viewed as examples of integrable or exactly solvable systems. Forrester develops not only the application and theory of Gaussian and circular ensembles of classical random matrix theory, but also of the Laguerre and Jacobi ensembles, and their beta extensions. Prominence is given to the computation of a multitude of Jacobians; determinantal point processes and orthogonal polynomials of one variable; the Selberg integral, Jack polynomials, and generalized hypergeometric functions; Painlevé transcendents; macroscopic electrostatistics and asymptotic formulas; nonintersecting paths and models in statistical mechanics; and applications of random matrix theory. This is the first textbook development of both nonsymmetric and symmetric Jack polynomial theory, as well as the connection between Selberg integral theory and beta ensembles. The author provides hundreds of guided exercises and linked topics, making Log-Gases and Random Matrices an indispensable reference work, as well as a learning resource for all students and researchers in the field.
Download or read book Principles of Radiation Interaction in Matter and Detection written by Claude Leroy and published by World Scientific. This book was released on 2009 with total page 951 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, like its first edition, addresses the fundamental principles of interaction between radiation and matter and the principle of particle detectors in a wide scope of fields, from low to high energy, including space physics and the medical environment. It provides abundant information about the processes of electromagnetic and hadronic energy deposition in matter, detecting systems, and performance and optimization of detectors.
Download or read book Regularity and Substructures of Hom written by Friedrich Kasch and published by Springer Science & Business Media. This book was released on 2009-03-03 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt: Regular rings were originally introduced by John von Neumann to clarify aspects of operator algebras ([33], [34], [9]). A continuous geometry is an indecomposable, continuous, complemented modular lattice that is not ?nite-dimensional ([8, page 155], [32, page V]). Von Neumann proved ([32, Theorem 14. 1, page 208], [8, page 162]): Every continuous geometry is isomorphic to the lattice of right ideals of some regular ring. The book of K. R. Goodearl ([14]) gives an extensive account of various types of regular rings and there exist several papers studying modules over regular rings ([27], [31], [15]). In abelian group theory the interest lay in determining those groups whose endomorphism rings were regular or had related properties ([11, Section 112], [29], [30], [12], [13], [24]). An interesting feature was introduced by Brown and McCoy ([4]) who showed that every ring contains a unique largest ideal, all of whose elements are regular elements of the ring. In all these studies it was clear that regularity was intimately related to direct sum decompositions. Ware and Zelmanowitz ([35], [37]) de?ned regularity in modules and studied the structure of regular modules. Nicholson ([26]) generalized the notion and theory of regular modules. In this purely algebraic monograph we study a generalization of regularity to the homomorphism group of two modules which was introduced by the ?rst author ([19]). Little background is needed and the text is accessible to students with an exposure to standard modern algebra. In the following, Risaringwith1,and A, M are right unital R-modules.
Download or read book Mechanics written by Florian A. Scheck and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 439 pages. Available in PDF, EPUB and Kindle. Book excerpt: A course in mechanics is of primary importance in any physics teaching program. Scheck's book integrates the various aspects of classical mechanics, relativistic mechanics, and modern topics such as deterministic chaos. Both the physical approach to mechanics and its mathematical foundations are emphasised. With elementary Newtonian mechanics as a starting point, the principles of canonical mechanics in Hamiltonian and Lagrangian formulations are outlined. Rigid bodies are treated in detail, and the basic concepts of special relativity are given. Particular emphasis is put on the geometrical aspects of mechanics, such as geometrical objects on manifolds. A chapter on stability and chaos concludes the book, introducing topics such as the long-time behavior of dynamical flows, deterministic chaos, and chaotic motion in celestial mechanics.
Download or read book A Treatise on Acoustic Radiation Acoustic transducers written by Sam Hanish and published by . This book was released on 1981 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Energy And Mass In Relativity Theory written by Lev Borisovich Okun and published by World Scientific. This book was released on 2009-03-04 with total page 323 pages. Available in PDF, EPUB and Kindle. Book excerpt: Energy and Mass in Relativity Theory presents about 30 pedagogical papers published by the author over the last 20 years. They deal with concepts central to relativity theory: energy E, rest energy E0, momentum p, mass m, velocity v of particles of matter, including massless photons for which v = c. Other related subjects are also discussed.According to Einstein's equation E0= mc2, a massive particle at rest contains rest energy which is partly liberated in the nuclear reactions in the stars and the Sun, as well as in nuclear reactors and bombs on the Earth. The mass entering Einstein's equation does not depend on velocity of a body. This concept of mass is used in the physics of elementary particles and is gradually prevailing in the modern physics textbooks.This is the first book in which Einstein's equation is explicitly compared with its popular though not correct counterpart E = mc2, according to which mass increases with velocity. The book will be of interest to researchers in theoretical, atomic and nuclear physics, to historians of science as well as to students and teachers interested in relativity theory.
Download or read book Advanced Quantum Mechanics written by Franz Schwabl and published by Springer Science & Business Media. This book was released on 2008-08-01 with total page 413 pages. Available in PDF, EPUB and Kindle. Book excerpt: Characteristic of Schwabl’s work, this volume features a compelling mathematical presentation in which all intermediate steps are derived and where numerous examples for application and exercises help the reader to gain a thorough working knowledge of the subject. The treatment of relativistic wave equations and their symmetries and the fundamentals of quantum field theory lay the foundations for advanced studies in solid-state physics, nuclear and elementary particle physics. New material has been added to this third edition.
Download or read book Atomic Physics written by SN Ghoshal and published by S. Chand Publishing. This book was released on 2007 with total page 758 pages. Available in PDF, EPUB and Kindle. Book excerpt: the book has been revised to include the postgraduate physics sylabi of indian Universities in addition to the undergraduate honours syllabi covered in the previous edition.Apart from the new addition made in the existing chapters have been added in this edition to deal with the quantum mechanical theories of atomic and molecular structure.
Download or read book The Natures of Science written by Neville McMorris and published by Fairleigh Dickinson Univ Press. This book was released on 1989 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: A too swift examination, for the benefit evidently of fairly naive readers, of broad philosophical and historical themes in the development of science. The ten chapters are grouped by pairs under five topical heads, which treat respectively the philosophical, aesthetic, cultural, methodological, scientific nature of science. Mathematical material encountered in the final chapter ("Classical duality in modern physics") is likely to be considered off-putting by many of the intended readers. Rather awkwardly composed, though attractively printed and bound. The author is chairman of the Physics Department at the University of the West Indies. (NW) Annotation copyrighted by Book News, Inc., Portland, OR
Download or read book GERT Networks and the Time Oriented Evaluation of Projects written by K. Neumann and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 275 pages. Available in PDF, EPUB and Kindle. Book excerpt: Towards the end of the fifties methods for planning, scheduling,and control of proj ects were developed on the basis that the evolution of a project can be associated with a special weighted directed graph, called activity network. In this association, the individual activities of the project correspond to the arcs, the so-called proj ect events (beginning or termination of activities) correspond to the nodes, and the durations of the activities correspond to the weights of the respective arcs of the directed graph. 1) Contiguous arcs are assigned to activities which succeed one another immediately. The event corresponding to a node occurs exactly at the time at which all activities which are associated with the arcs leading into the node are terminated. After the occurrence of an event all those activities are be gun which correspond to the arcs emanating from the respective node. This implies especially that the evolution of the project has to be uniquely determined before hand, that every activity and every event are realized exactly once during the exe cution of the project, and that "feedback" (corresponding to cycles in the asso ciated network) is not permitted. Many projects, for example most R&D projects and projects in the area of production p 1 anni ng, do not sa ti sfy the foregoi ng res tri cti ons.
Download or read book Point Process Theory and Applications written by Martin Jacobsen and published by Springer Science & Business Media. This book was released on 2006-07-27 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: Mathematically rigorous exposition of the basic theory of marked point processes and piecewise deterministic stochastic processes Point processes are constructed from scratch with detailed proofs Includes applications with examples and exercises in survival analysis, branching processes, ruin probabilities, sports (soccer), finance and risk management, and queueing theory Accessible to a wider cross-disciplinary audience
Download or read book A System of physical chemistry v 3 written by William Cudmore McCullagh Lewis and published by . This book was released on 1919 with total page 232 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Black Hole Gravitohydromagnetics written by Brian Punsly and published by Springer Science & Business Media. This book was released on 2008-12-15 with total page 399 pages. Available in PDF, EPUB and Kindle. Book excerpt: Black hole gravitohydromagnetics (GHM) is developed from the rudiments to the frontiers of research in this book. GHM describes plasma interactions that combine the effects of gravity and a strong magnetic field, in the vicinity (ergosphere) of a rapidly rotating black hole. This topic was created in response to the astrophysical quest to understand the central engines of radio loud extragalactic radio sources. The theory describes a "torsional tug of war" between rotating ergospheric plasma and the distant asymptotic plasma that extracts the rotational inertia of the black hole. The recoil from the struggle between electromagnetic and gravitational forces near the event horizon is manifested as a powerful pair of magnetized particle beams (jets) that are ejected at nearly the speed of light. This second edition of the book is updated throughout and contains a completely new chapter discussing state of the art and results of numerical simulations of ergospheric disk jets occurring in magnetohydrodynamic accretion flows.
