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Academic Press

Euclidean and Affine Transformations
Geometric Transformations
1st Edition
May 12, 2014
P. S. Modenov + 1 more
Henry Booker + 2 more
English
Geometric Transformations, Volume 1: Euclidean and Affine Transformations focuses on the study of coordinates, trigonometry, transformations, and linear equations. The publication first takes a look at orthogonal transformations, including orthogonal transformations of the first and second kinds; representations of orthogonal transformations as the products of fundamental orthogonal transformations; and representation of an orthogonal transformation of space as a product of fundamental orthogonal transformations. The text then examines similarity and affine transformations. Topics include properties of affine mappings, Darboux's lemma and its consequences, affine transformations in coordinates, homothetic transformations, similarity transformations of the plane in coordinates, and similarity mapping. The book takes a look at the representation of a similarity transformation as the product of a homothetic transformation and an orthogonal transformation; application of affine transformations to the investigation of properties of the ellipse; and representation of any affine transformation as a product of affine transformations of the simplest types. The manuscript is a valuable reference for high school teachers and readers interested in the Euclidean and affine transformations.
Optical Pulses - Lasers - Measuring Techniques
1st Edition
May 12, 2014
Frank B. A. Früngel
English
High Speed Pulse Technology: Volume II: Optical Pulses - Lasers - Measuring Techniques focuses on the theoretical and engineering problems that result from the capacitor discharge technique. This book is organized into three main topics: light flash production from a capacitive energy storage; signal transmission and ranging systems by capacitor discharges and lasers; and impulse measuring technique. This text specifically discusses the air spark under atmospheric conditions, industrial equipment for laser flashing, and claims for light transmitting system. The application of light impulse signal transmission, impulse measurements by means of spark gaps, and conversion factors of various energy units are also described. This publication is recommended for eager electrical engineering and physics students interested in optical pulses, lasers, and measuring techniques.
An Introduction to Probability and Mathematical Statistics
1st Edition
May 12, 2014
Howard G. Tucker
Ralph P. Boas
English
An Introduction to Probability and Mathematical Statistics provides information pertinent to the fundamental aspects of probability and mathematical statistics. This book covers a variety of topics, including random variables, probability distributions, discrete distributions, and point estimation. Organized into 13 chapters, this book begins with an overview of the definition of function. This text then examines the notion of conditional or relative probability. Other chapters consider Cochran's theorem, which is of extreme importance in that part of statistical inference known as analysis of variance. This book discusses as well the fundamental principles of testing statistical hypotheses by providing the reader with an idea of the basic problem and its relation to practice. The final chapter deals with the problem of estimation and the Neyman theory of confidence intervals. This book is a valuable resource for undergraduate university students who are majoring in mathematics. Students who are majoring in physics and who are inclined toward abstract mathematics will also find this book useful.
The Spectral Analysis of Time Series
Probability and Mathematical Statistics, Vol. 22
1st Edition
May 12, 2014
L. H. Koopmans
Z. W. Birnbaum + 1 more
English
The Spectral Analysis of Time Series describes the techniques and theory of the frequency domain analysis of time series. The book discusses the physical processes and the basic features of models of time series. The central feature of all models is the existence of a spectrum by which the time series is decomposed into a linear combination of sines and cosines. The investigator can used Fourier decompositions or other kinds of spectrals in time series analysis. The text explains the Wiener theory of spectral analysis, the spectral representation for weakly stationary stochastic processes, and the real spectral representation. The book also discusses sampling, aliasing, discrete-time models, linear filters that have general properties with applications to continuous-time processes, and the applications of multivariate spectral models. The text describes finite parameter models, the distribution theory of spectral estimates with applications to statistical inference, as well as sampling properties of spectral estimates, experimental design, and spectral computations. The book is intended either as a textbook or for individual reading for one-semester or two-quarter course for students of time series analysis users. It is also suitable for mathematicians or professors of calculus, statistics, and advanced mathematics.
Village Ethnoarchaeology
Rural Iran in Archaeological Perspective
1st Edition
May 12, 2014
Carol Kramer
English
Village Ethnoarchaeology: Rural Iran in Archaeological Perspective discusses selected tangible features of the subject area, noting the differences in households and associated material culture. The book comments among settlement variability, the complexities in relationships among population density, settlement age, area, and function. The text also deals with material correlates of sociocultural behavior, spatial organization, architectural variability, regional patterns, and archaeological sampling strategies. The book presents a study based on three sets of contemporary data: (1) from an ethnographic fieldwork on Aliabad in summer 1975; (2) the census and cartographic documents published by the Iranian government; and (3) a corpus of published comparative ethnographic data. The book notes that among the households in Aliabad, which is neither economically stratified nor markedly heterogeneous, economic variations exist. The text suggests that that material diversity and systems involving socioeconomic differentiation can have substantial time depth in this part of the world. The book can prove beneficial for archaeologists, anthropologist, sociologists, and researchers interested in ethnographic accounts of Middle Eastern communities.
Environmental Regulation of Microbial Metabolism
Proceedings of the Federation of European Microbiological Societies Symposium Held in Pushchino, USSR 1–7 June 1983
1st Edition
May 12, 2014
I. S. Kulaev + 2 more
English
Environmental Regulation of Microbial Metabolism contains the proceedings of the Federation of European Microbiological Societies Symposium held in Pushchino, USSR, on June 1-7, 1983. The symposium provided a forum for reviewing the environmental regulation of the metabolism of autotrophic and heterotrophic microorganisms; regulation of the biogenesis of cell walls and other structures in prokaryotic and eukaryotic microorganisms; and regulation of the secretion of macromolecules and transport of ions and solutes across microbial membranes. Comprised of 52 chapters, this book begins with an overview of some aspects of environmental regulation of microbial phosphorus metabolism, followed by a discussion on the role of covalent interconversion of enzymes in the regulation of microbial metabolism. Subsequent chapters explore the role and regulation of inorganic pyrophosphatase in bacteria; the central metabolism of pseudomonads degrading xenobiotics; the role of nickel enzymes in anaerobic metabolism; and the oxidation of aromatic compounds by microalgae. The book also considers carbon metabolism in phototrophic bacteria under different conditions of growth, along with the transport of solutes and metabolites in prokaryotes and eukaryotes. This monograph will be helpful to a wide range of specialists in the fields of biochemistry, physiology, molecular biology, and biotechnology.
Engineering Fundamentals and Environmental Effects
1st Edition
May 12, 2014
H. Liebowitz
English
Fracture: An Advanced Treatise, Volume III: Engineering Fundamentals and Environmental Effects provides information pertinent to the engineering fundamentals and environmental effects pertaining to various types of fracture. This book focuses on the fracture design of structures as well as the engineering fundamentals of fracture and environmental effects. Organized into 12 chapters, this volume begins with an overview of the analytical aspects of linear fracture mechanics, which are complete relative to basic formulation and two-dimensional static problems. This text then reviews the fundamental equations of the statics of solids, with emphasis on the idealization of behavior into elastic, plastic, or viscoelastic types. Other chapters consider a notch analysis of fracture. This book discusses as well the three phases of the fracture process. The final chapter deals with environment cracking under static load. This book is a valuable resource for engineers, students, and research workers in industrial organizations, education and research institutions, and various government agencies.
Essentials of Elementary School Mathematics
1st Edition
May 12, 2014
Max D. Larsen + 1 more
English
Essentials of Elementary School Mathematics is an introductory text on the essentials of mathematics taught in elementary schools. It presents a systematic development of the mathematics of arithmetic. A primary objective is to give students a background sufficient to understand and answer at an appropriate level the various quite penetrating questions asked by young students. Some examples and exercises are concerned primarily with pedagogical aspects of arithmetic. Comprised of 14 chapters, this book begins with an overview of the language of mathematics, focusing on concepts such as the conjunction (and); negation (not); disjunction (or); and conditional (if...then...). The discussion then turns to the theory of sets; the concept of binary operations; and recognition and identification of properties of various relations. The next section deals with the number systems of arithmetic: whole numbers, integers, rational numbers, and real numbers. Number theory and clock arithmetic are also examined, along with counting techniques and probability. The final section is devoted to motion geometry and analytic geometry. This monograph should be of interest to students and teachers of mathematicians at the elementary level.
Nonlinear Phenomena in Mathematical Sciences
Proceedings of an International Conference on Nonlinear Phenomena in Mathematical Sciences, Held at the University of Texas at Arlington, Arlington, Texas, June 16–20, 1980
1st Edition
May 12, 2014
V. Lakshmikantham
English
Nonlinear Phenomena in Mathematical Sciences contains the proceedings of an International Conference on Nonlinear Phenomena in Mathematical Sciences, held at the University of Texas at Arlington, on June 16-20,1980. The papers explore trends in nonlinear phenomena in mathematical sciences, with emphasis on nonlinear functional analytic methods and their applications; nonlinear wave theory; and applications to medical and life sciences. In the area of nonlinear functional analytic methods and their applications, the following subjects are discussed: optimal control theory; periodic oscillations of nonlinear mechanical systems; Leray-Schauder degree theory; differential inequalities applied to parabolic and elliptic partial differential equations; bifurcation theory, stability theory in analytical mechanics; singular and ordinary boundary value problems, etc. The following topics in nonlinear wave theory are considered: nonlinear wave propagation in a randomly homogeneous media; periodic solutions of a semilinear wave equation; asymptotic behavior of solutions of strongly damped nonlinear wave equations; shock waves and dissipation theoretical methods for a nonlinear Schr?dinger equation; and nonlinear hyperbolic Volterra equations occurring in viscoelasticity. Applications to medical and life sciences include mathematical modeling in physiology, pharmacokinetics, and neuro-mathematics, along with epidemic modeling and parameter estimation techniques. This book will be helpful to students, practitioners, and researchers in the field of mathematics.
Capacitor Discharges - Magnetohydrodynamics - X-Rays - Ultrasonics
1st Edition
May 12, 2014
Frank B. A. Früngel
English
High Speed Pulse Technology, Volume 1: Capacitor Discharges - Magnetohydrodynamics - X-Rays - Ultrasonics deals with the theoretical and engineering problems that arise in the capacitor discharge technique. This book discusses the characteristics of dielectric material, symmetrical switch tubes with mercury filling, and compensation conductor forms. The transformed discharge for highest current peaks, ignition transformer for internal combustion engines, and X-ray irradiation of subjects in mechanical motion are also elaborated. This text likewise covers the transformed capacitor discharge in welding engineering, application of strong magnetic shock fields in nuclear physics, and shock sound by underwater capacitor discharges. Other topics include the shaping metals by electrical explosion shock wave and electro-erosion machining of metals. This volume is recommended for electrical engineering and physics students.

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