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Books in Physical sciences and engineering

The Theory of Splines and Their Applications
Mathematics in Science and Engineering: A Series of Monographs and Textbooks, Vol. 38
1st Edition
J. H. Ahlberg + 2 more
Richard Bellman
English
The Theory of Splines and Their Applications discusses spline theory, the theory of cubic splines, polynomial splines of higher degree, generalized splines, doubly cubic splines, and two-dimensional generalized splines. The book explains the equations of the spline, procedures for applications of the spline, convergence properties, equal-interval splines, and special formulas for numerical differentiation or integration. The text explores the intrinsic properties of cubic splines including the Hilbert space interpretation, transformations defined by a mesh, and some connections with space technology concerning the payload of a rocket. The book also discusses the theory of polynomial splines of odd degree which can be approached through algebraically (which depends primarily on the examination in detail of the linear system of equations defining the spline). The theory can also be approached intrinsically (which exploits the consequences of basic integral relations existing between functions and approximating spline functions). The text also considers the second integral relation, raising the order of convergence, and the limits on the order of convergence. The book will prove useful for mathematicians, physicist, engineers, or academicians in the field of technology and applied mathematics.
Mechanics of Deformable Bodies
Lectures on Theoretical Physics, Vol. 2
1st Edition
Arnold Sommerfeld
English
Mechanics of Deformable Bodies: Lectures on Theoretical Physics, Volume II covers topics on the mechanics of deformable bodies. The book discusses the kinematics, statics, and dynamics of deformable bodies; the vortex theory; as well as the theory of waves. The test also describes flow with given boundaries. Supplementary notes on selected hydrodynamic problems, as well as supplements to the theory of elasticity are also provided. Physicists, mathematicians, and students taking related courses will find the book invaluable.
Divisor Theory in Module Categories
1st Edition
W. V. Vasconcelos
Leopoldo Nachbin
English
North-Holland Mathematics Studies, 14: Divisor Theory in Module Categories focuses on the principles, operations, and approaches involved in divisor theory in module categories, including rings, divisors, modules, and complexes. The book first takes a look at local algebra and homology of local rings. Discussions focus on Gorenstein rings, Euler characteristics of modules, Macaulay rings, Koszul complexes, Noetherian and coherent rings, flatness, and Fitting's invariants. The text then explains divisorial ideals, including divisors, modules of dimension one, and higher divisorial ideals. The manuscript ponders on spherical modules and divisors and I-divisors. Topics include construction, Euler characteristics of Inj (A), change of rings and dimensions, spherical modules, resolutions and divisors, and elementary properties. The text is a valuable source of information for mathematicians and researchers interested in divisor theory in module categories.
Nuclear Power Hazard Control Policy
1st Edition
John C. Chicken
English
Nuclear Power Hazard Control Policy provides an analysis of the elements that influenced the development and type of policies on the hazard control of nuclear power in Britain. The book starts with an account of the nuclear hazards and its legal and administrative basis of control. A section of the book is focused on the creation and implementation of policies. The book analyzes some types of radiation and how it is released. The diseases that develop from certain exposure to radiation are also explained. The economic aspects of nuclear power utilization are discussed in detail. Some historical accounts of significance to the study are evaluated. Events such as the British bomb and the arrival of nuclear power are some of the events. The final chapter of the book discusses a possible policy- making system that considers the changes in the environment surrounding the system. The text is intended for legislators, lawyers, nuclear physicists, students, and researchers in the field of law.
The Upper Atmosphere
Meteorology and Physics
1st Edition
Richard A. Craig
J. Van Mieghem
English
The Upper Atmosphere: Meteorology and Physics focuses on the study of the characteristics, movements, composition, and observations of the upper atmosphere. The book first offers information on the meteorological conditions in the lower stratosphere and the structure and circulation of the upper stratosphere and the mesosphere. Topics include balloon sounding systems, climatology of the lower stratosphere, disturbed circulation of the lower stratosphere, rocket measurements, and frequent measurements with balloons and meteorological rockets. The text then ponders on the sun's radiation and the upper atmosphere and composition of the stratosphere and mesosphere. The manuscript elaborates on the composition and structure of the thermosphere, including photochemical processes, diffusion, composition and structure measurements, and structure of the thermosphere. The text also ponders on radiative processes and heat transfer; atmospheric tides and winds in the lower thermosphere; and transport of properties in the upper atmosphere. The publication is a valuable source of information for readers interested in the meteorology and physics of the upper atmosphere.
Elementary Theory
Fundamentals of the Theory of Operator Algebras
1st Edition
Richard V. Kadison + 1 more
Samuel Eilenberg + 1 more
English
Fundamentals of the Theory of Operator Algebras, Volume I: Elementary Theory provides information pertinent to the fundamental aspects of the theory of operator algebras. This book discusses the finite-dimensional linear algebra. Organized into five chapters, this volume begins with an overview of the fundamental aspects of linear functional analysis that are needed in the study of operator algebras. This text then discusses the continuous linear operators, continuous linear functionals, weak topologies, and convexity in the context of linear topological spaces. Other chapters consider the elementary geometry of Hilbertspaces and the simplest properties of Hilbert space operators. This book discusses as well algebras that have a Banach-space structure relative to which the multiplication is continuous. The final chapter deals with those C*-algebras that are strong-operator closed in their action on some Hilbert space, which play a fundamental role in the subject. This book is a valuable resource for mathematicians.
The Historical Supernovae
1st Edition
David H. Clark + 1 more
English
Energy at the Surface of the Earth
An Introduction to the Energetics of Ecosystems
1st Edition
David H. Miller
J. Van Mieghem + 1 more
English
Energy at the Surface of the Earth: An Introduction to the Energetics of Ecosystems presents way of looking at the manner in which the biological, physical, and cultural systems that mantle the landmasses of our planet receive, transform, and give off energy, which is an essential condition of existence that takes many forms. Energy conversions establish the climate in which these systems operate. The principal forms of energy that are converted at the ecosystem scale include radiant, latent, mechanical, chemical and fossil, and thermal. The book begins with radiant energy absorbed by ecosystems—a phenomenon that is independent of their surface temperature and that can be looked on as a burden or a gift, depending on circumstances. An increase in such absorption raises surface temperature, as described in the fulcrum chapter of the book, Chapter VIII. This increase in turn sets into action outflows of energy that by the first law of thermodynamics are equal in energy units, although not necessarily equal in quality to the inflows. The final chapters deal with vertical stratification and areal contrasts in energy budgets, the augmented energy budget of the city, and the responses that serve to keep the budget balanced.
Lattice 89
Proceedings of the 1989 Symposium on Lattice Field Theory
1st Edition
N. Cabbibo + 2 more
English
Aliphatic Compounds
A Modern Comprehensive Treatise
1st Edition
S. Coffey
English
Rodd's Chemistry of Carbon Compounds: A Modern Comprehensive Treatise, Second Edition, Volume I, Part B: Monohydric Alcohols: Their Ethers and Esters, Sulfur Analogues, Nitrogen Derivatives, Organometallic Compounds focuses on the reactions, characteristics, transformations, and methodologies involved in halogeno- and nitroalkanols, singly-linked, mono-substituted, aliphatic hydrocarbons, and sulfur analogues of alcohols and their derivatives. The selection first offers information on the ethers and esters of monohydric alcohols and sulfur analogues of alcohols and their derivatives. Topics include alkyl peroxides, esters of mineral or organic acids, sulfides or thio-esters, alkyl polysulfides, alkylthiosulfuric acids, dialkyl sulfoxides or alkylsulphinylalkane... and sulfones. The book also considers nitrogen derivatives of aliphatic hydrocarbons, as well as amines and quaternary ammonium compounds, nitro-and nitroso-compounds, and N-substituted derivatives of the alkylamines. The publication takes a look at aliphatic organometallic and organometalloidal compounds. Discussions focus on beryllium, magnesium, calcium, strontium, and barium, lithium, sodium, potassium, and rubidium, and boron, aluminum, gallium, indium, and thallium. The text is a valuable reference for readers interested in carbon compounds.

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