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Mathematical Techniques of Operational Research

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Mathematical Techniques of Operational Research is a seven-chapter text that covers the principles and applications of various mathematical tools and models to for operational research.  Chapter I provides the basic mathematical ideas used in later chapters. Chapters II and III deal with linear programming, including the special cases of transportation and assignment, as well as their applications such as the Trim Problem. Chapters IV and V discuss the theory of queues and describe the general stationary properties of the single-channel queue, and of simple queues in series and in parallel. These chapters also examine some transient properties of queues. Chapter VI focuses on machine interference, which is an aspect of queueing theory, while Chapter VII deals with the important and mathematically subject of Stock Control or Inventory Theory.  This book is intended primarily to graduate mathematicians, business manages, and industrial leaders.

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L. S. Goddard, I. N. Sneddon, S. Ulam, M. Stark

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Biospeleology: The Biology of Cavernicolous Animals discusses the fundamental concepts in understanding the biological make up of cave-dwelling animals. The title aims to relate the subterranean world as a habitat for organisms.  The first part of the text tackles basic concerns, such as the concept of the subterranean world and cavernicoles, along with the history and research concerns in biospeleology. Next, the selection enumerates the subterranean flora and fauna, along with the geographical distribution and ecology of cavernicoles. The next two parts detail the physiology and behavior of cavernicoles, while the last part tackles the evolution of cavarnicoles.  The book will be of great interest to zoologists, biologists, and ecologists who wish to gain a better understanding of the biological properties of subterranean organisms.

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A Short Textbook of Colloid Chemistry, Second Revised Edition details the factual aspect of colloid chemistry that includes the basic facts, established empirical and mathematical relationships, and practical applications.  The chapters of the title are organized into two parts. In the first part, the text discusses the general concepts of colloid chemistry, such as the history and scope, basic terms, and basic methods in experiment with colloids. Part Two covers the technical aspect of colloid chemistry, such as the optical properties, electrical properties, and viscosity.  The book will be of great use to students, researchers, and practitioners of disciplines that deal with colloids, such as chemistry and chemical engineering.

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International Series of Monographs in Natural Philosophy

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Introduction to Stellar Statistics discusses the fundamental concepts that are essential in utilizing statistical methods in quantifying the variables present in celestial bodies. The title emphasizes detailing a conceptual system that aids in the organization of collected data.  The text first introduces stellar statistics, and then proceeds to covering the observational data and the elements. Next, the selection talks about the apparent distribution of the stars and galaxies. Chapter V tackles kinematics, while Chapter VI covers stellar distances. In the last chapter, the text presents the integral equation of stellar statistics.  The book will be of great interest to scientists involved in the study of celestial bodies, such astronomers and astrophysicists.

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Electronic Amplifiers for Automatic Compensators

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International Series of Monographs on Automation and Automatic Control

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Electronic Amplifiers for Automatic Compensators presents the design and operation of electronic amplifiers for use in automatic control and measuring systems. This book is composed of eight chapters that consider the problems of constructing input and output circuits of amplifiers, suppression of interference and ensuring high sensitivity.  This work begins with a survey of the operating principles of electronic amplifiers in automatic compensator systems. The succeeding chapters deal with circuit selection and the calculation and determination of the principal characteristics of amplifiers, as well as the input circuits of alternating and direct current amplifiers. These topics are followed by a discussion of the input circuits of high-sensitivity current amplifiers. The last chapters explore the features and properties of voltage and power amplifiers.   This book is intended primarily to specialists in the fields of automation, electronics and instrumentation.

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Theory of Approximation of Functions of a Real Variable

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Theory of Approximation of Functions of a Real Variable discusses a number of fundamental parts of the modern theory of approximation of functions of a real variable. The material is grouped around the problem of the connection between the best approximation of functions to their structural properties.  This text is composed of eight chapters that highlight the relationship between the various structural properties of real functions and the character of possible approximations to them by polynomials and other functions of simple construction. Each chapter concludes with a section containing various problems and theorems, which supplement the main text. The first chapters tackle the Weierstrass's theorem, the best approximation by polynomials on a finite segment, and some compact classes of functions and their structural properties. The subsequent chapters describe some properties of algebraic polynomials and transcendental integral functions of exponential type, as well as the direct theorems of the constructive theory of functions. These topics are followed by discussions of differential and constructive characteristics of converse theorems. The final chapters explore other theorems connecting the best approximations functions with their structural properties. These chapters also deal with the linear processes of approximation of functions by polynomials.   The book is intended for post-graduate students and for mathematical students taking advanced courses, as well as to workers in the field of the theory of functions.

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A. F. Timan, I. N. Sneddon, S. Ulam, M. Stark

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The Application of Mathematical Statistics to Chemical Analysis

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The Application of Mathematical Statistics to Chemical Analysis presents the methods of mathematical statistics as applied to problems connected with chemical analysis. This book is divided into nine chapters that particularly consider the principal theorems of mathematical statistics that are explained with examples taken from researchers associated with chemical analysis in laboratory work.   This text deals first with the problems of mathematical statistics as a means to summarize information in chemical analysis. The next chapters examine the classification of errors, random variables and their characteristics, and the normal distribution in mathematical statistics. These topics are followed by surveys of the application of Poisson's and binomial distribution in radiochemical analysis; the estimation of chemical analytic results; and the principles and application of determination of experimental variance. The last chapters explore the determination of statistical parameters of linear relations and some working methods associated with the statistical design of an experiment.   This book will be of great value to analytical chemists and mathematical statisticians.

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International Series of Monographs on Inorganic Chemistry

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Volatile Silicon Compounds tackles the properties of volatile silicon compounds from both organic and inorganic perspectives. The title integrates the discussion on molecular structure and chemical properties.  The opening chapter provides an introductory discourse on atomic properties. Next, the selection seals with SiH bond and the halides of silicon. The subsequent chapters discuss compounds containing silicon bound to various elemental groups. The text also covers other silicon compounds, such pseudohalogen derivatives and metal derivatives of silanes.  The book will be of great use to students of chemistry related degrees.

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E. A. V. Ebsworth, H. Taube, A. G. Maddock

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International Series of Monographs on Pure and Applied Mathematics

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Mathematical Foundations of Thermodynamics details the core concepts of the mathematical principles employed in thermodynamics. The book discusses the topics in a way that physical meanings are assigned to the theoretical terms.  The coverage of the text includes the mechanical systems and adiabatic processes; topological considerations; and equilibrium states and potentials. The book also covers Galilean thermodynamics; symmetry in thermodynamics; and special relativistic thermodynamics.  The book will be of great interest to practitioners and researchers of disciplines that deal with thermodynamics, such as physics, engineering, and chemistry.

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R. Giles, I. N. Sneddon, M. Stark, S. Ulam

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Readings in Modern Methods of Treatment of Mental Disorders Derived from Learning Theory

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Experiments in Behavior Therapy: Readings in Modern Methods of Treatment of Mental Disorders Derived from Learning Theory focuses on experiments involving the application of modern theories of learning and conditioning to behavior disorders.  The selection first offers information on the nature of behavior and systematic desensitization treatment of neuroses. Discussions focus on the technique of systematic desensitization, examples of hierarchies from actual cases, and desensitization procedure. The text then ponders on experimental desensitization of a phobia, treatment by a method derived from experimental psychology, and treatment of anxiety and phobic reactions by systematic desensitization psychotherapy.   The publication examines the treatment of chronic frigidity by systematic desensitization, application of reciprocal inhibition therapy to exhibitionism, and group therapy of phobic disorders by systematic desensitization. The isolation of a conditioning procedure as the crucial psychotherapeutic factor; application of learning principles to the treatment of obsessive-compulsive states in the acute and chronic phases of illness; and case of homosexuality treated by aversion therapy are also discussed.   The selection is a dependable source of data for readers interested in behavior therapy.

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The Production of Olefine-Containing and Fuel Gases

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The Production of Olefin-Containing and Fuel Gases reviews the production processes of gasification of distillate and residual liquid fuels employed in France, Germany, UK, USA, and Russia. The monograph first offers information on the methods of chemical treatment of gases and products from the pyrolysis of crude oil and raw materials for the process of gasification. Discussions focus on the production of raw materials for oil-chemical synthesis and production of oil-chemical products.   The text then ponders on the theoretical presentation of high temperature pyrolysis of hydrocarbons and pyrolysis of hydrocarbon stock and resins. Topics include thermodynamic representation and mechanism of high temperature pyrolysis of hydrocarbons; methods for the calculation of the composition of a gas at equilibrium conditions; and dynamics of the change in composition of the reaction products in the gasification process.   The publication takes a look at contemporary installations for the gasification of liquid fuels, including the process of autothermic pyrolysis of hydrocarbons with air or steam-air blast and the processes of autothermic pyrolysis of crude petroleum in the presence of a catalyst.  The monograph is a dependable reference for chemical engineering students and plant engineers.

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Tables of Generalized Airy Functions for the Asymptotic Solution of the Differential Equation

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Tables of Generalized Airy Functions for the Asymptotic Solution of the Differential Equations contains tables of the special functions, namely, the generalized Airy functions, and their first derivatives, for real and pure imaginary values. The tables are useful for calculations on toroidal shells, laminae, rode, and for the solution of certain other problems of mathematical physics. The values of the functions were computed on the "Strela" highspeed electronic computer.  This book will be of great value to mathematicians, researchers, and students.

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Problems in the Design and Development of 750 MW Turbogenerators

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International Series of Monographs on Electronics and Instrumentation

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Problems in the Design and Development of 750 MW Turbo-Generators covers selected problems mainly related to projected machines in the development of turbo-generators. This book describes the main lines of research at the Electromechanics Institute of the U.S.S.R. Academy of Sciences.  This book is divided into six chapters and begins with an overview of the progress in the generation of electricity along with the rapid economic development of the U.S.S.R. The succeeding chapter deals with the use of efficient cooling system of the winding copper to address the problem of electrical machine's unit power performance. The discussion then shifts to a theoretical analysis of the so-called "geometric series" of large turbo-generators. A chapter examines the problems related to design of these machines, specifically the main mechanical factors limiting the dimensions of turbo-generators. The concluding chapters provide a summary of the results of the planned increase in unit output of the single-shaft 750 MW turbo-generator.   This book is intended primarily to engineers, metallurgists, and scientists who deal with the problems in the development of very large turbo-generators.

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V. P. Anempodistov, E. G. Kasharskii, I. D. Urusov, D. W. Fry, W. Higinbotham

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Rare Metal Extraction by Chemical Engineering Techniques

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International Series of Monographs on Chemical Engineering

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Rare Metal Extraction by Chemical Engineering Techniques describes the use of chemical engineering techniques in the extraction and purification of rare metals such as uranium, thorium, and zirconium as well as hafnium, titanium, beryllium, and vanadium. The various chemical extraction stages from ore to metal are discussed.  Comprised of nine chapters, this book begins with an examination of ore breakdown processes including dilute acid leaching and the breakdown of concentrated acids, alkalis, and fluorides as well as chlorination. The reader is then introduced to ion-exchange purification; solvent extraction; and dryway conversion processes. Subsequent chapters focus on metal production by high-temperature reduction techniques; molten salt electrolytic processes; and iodide decomposition processes. The final chapter includes a selection of complete flowsheets for the extraction and purification rare metals from ores.   This monograph will be of value to metallurgists, chemical engineers, chemists, and others who are interested in the extraction of rare metals.

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Animal Hormones: A Comparative Survey, Part IKinetic and Metabolic Hormones provides a comprehensive coverage of the properties of kinetic and metabolic hormones of both vertebrates and invertebrates; the title particularly covers the sources, actions, and secretion of the said hormones.  The text first details the general concerns with the hormones, such as the history, chemical activators, mechanical activation, types, and identification. The next chapter covers the sources of kinetic and metabolic hormones. Chapters 3 and 4 tackle kinetic hormones, while Chapter 5 discusses metabolic hormones.  The book will be of great interest to students, researchers, and practitioners of zoology and biochemistry.

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The Mathematical Works of J. H. C. Whitehead

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Algebraic and Classical Topology contains all the published mathematical work of J. H. C. Whitehead, written between 1952 and 1960.  This volume is composed of 21 chapters, which represent two groups of papers. The first group, written between 1952 and 1957, is principally concerned with fiber spaces and the Spanier-Whitehead S-theory. In the second group, written between 1957 and 1960, Whitehead returns to classical topology after a long interval, and participates in the renewed assault on the problems which fascinated him most.   This book will prove useful to mathematicians.

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Linear Representations of the Lorentz Group

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Linear Representations of the Lorentz Group is a systematic exposition of the theory of linear representations of the proper Lorentz group and the complete Lorentz group.  This book consists of four chapters. The first two chapters deal with the basic material on the three-dimensional rotation group, on the complete Lorentz group and the proper Lorentz group, as well as the theory of representations of the three-dimensional rotation group. These chapters also provide the necessary basic information from the general theory of group representations. The third chapter is devoted to the representations of the proper Lorentz group and the complete Lorentz group, while the fourth chapter examines the theory of invariant equations.  This book will prove useful to mathematicians and students.

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The Mathematical Works of J. H. C. Whitehead

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Homotopy Theory contains all the published mathematical work of J. H. C. Whitehead, written between 1947 and 1955. This volume considers the study of simple homotopy types, particularly the realization of problem for homotopy types. It describes Whitehead's version of homotopy theory in terms of CW-complexes.  This book is composed of 21 chapters and begins with an overview of a theorem to Borsuk and the homotopy type of ANR. The subsequent chapters deal with four-dimensional polyhedral, the homotopy type of a special kind of polyhedron, and the combinatorial homotopy I and II. These topics are followed by reviews of other homotopy types, such as group extensions with homotopy operators, cohomology systems, secondary boundary operator, algebraic homotopy, and the G-dual of a semi-exact couple. The last chapters examine the connected complex homotopy types and the second non-vanishing homotopy groups.  This book will be of great value to mathematicians.

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Absorption Spectra and Chemical Bonding in Complexes

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Absorption Spectra and Chemical Bonding in Complexes focuses on chemical bonding in transition group complexes and molecules, including molecular orbitals, absorption bands, and energy levels.  The book first outlines the history of chemical bonding, giving emphasis to different theories that paved the way for further studies in this field. The text then examines the energy levels of a configuration and molecular orbitals and microsymmetry.   The publication takes a look at the interelectronic repulsion in M.O. configurations, the characteristics of absorption bands, and spectrochemical series. Electron transfer spectra, energy levels in complexes with almost spherical symmetry, molecular orbitals lacking spherical symmetry, and chemical bonding are also discussed. The book examines the determination of complex species in solution and their formation constants; survey of the chemistry of heavy, metallic elements; and tables of absorption spectra.  The manuscript is a dependable source of data for physicists and group theorists interested in absorption spectra and chemical bonding.

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Proceedings of the First International Conference on Waste Disposal in the Marine Environment

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University of California, Berkeley, July 22-25, 1959

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Proceedings of the First International Conference on Waste Disposal in the Marine Environment focuses on the disposal of sewage, including pollution of beaches, effects of wastes on marine biota and humans, and water quality.   The selection first offers information on the fixed and changing valves in ocean disposal of sewage and wastes and characteristics and expeditious detection of bacterial indices of pollution of marine bathing beaches. Discussions focus on the coliform index and illness among bathers; enterococcus group as an index of pollution of saline bathing beaches; characteristics of the coliform group of bacteria; and procedures for expeditious determination of E. coli and coliform indices in water. The book then examines the risk of infection through bathing in sewage-polluted water; water pollution in Marseilles and its relation with flora and fauna; and the benthonic fauna of southern California in shallow depths and possible effects of wastes on the marine biota.   The text examines the use of marine invertebrates as indicators of water quality; foraminiferal ecology around ocean outfalls off southern California; discharge of wastes into the sea in European coastal areas; and diffusion of sewage effluent in an ocean.   The selection is a dependable reference for readers interested in the effects of waste disposal in the marine environment.