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Books in Physical sciences and engineering

Non-Linear Differential Equations
International Series of Monographs in Pure and Applied Mathematics
1st Edition
G. Sansone + 1 more
I. N. Sneddon + 2 more
English
International Series of Monographs in Pure and Applied Mathematics, Volume 67: Non-Linear Differential Equations, Revised Edition focuses on the analysis of the phase portrait of two-dimensional autonomous systems; qualitative methods used in finding periodic solutions in periodic systems; and study of asymptotic properties. The book first discusses general theorems about solutions of differential systems. Periodic solutions, autonomous systems, and integral curves are explained. The text explains the singularities of Briot-Bouquet theory. The selection takes a look at plane autonomous systems. Topics include limiting sets, plane cycles, isolated singular points, index, and the torus as phase space. The text also examines autonomous plane systems with perturbations and autonomous and non-autonomous systems with one degree of freedom. The book also tackles linear systems. Reducible systems, periodic solutions, and linear periodic systems are considered. The book is a vital source of information for readers interested in applied mathematics.
Scale Models in Engineering
Fundamentals and Applications
1st Edition
Richard I. Emori + 1 more
English
Scale Models in Engineering: Fundamentals and Applications provides a simple and fundamental method of designing scale model experiments. This book is divided into two parts. Part I explores the background of scale modeling and explains the design procedure of scale models and experiments. The relaxation method commonly applied to conflicting requirements in model design is also analyzed. Part II is devoted to case studies selected from modern fields of model application. These studies have been interpreted uniformly. This publication is designed not only as a college textbook for senior and graduate levels but also as a working reference for practicing engineers.
Energy: The Countdown
A Report to the Club of Rome: Thierry De Montbrial
1st Edition
Robert Lattés + 1 more
English
Energy: The Countdown considers the possibility that a catastrophic energy crisis might become inevitable and could explode even before any comprehensive emergency plans are concerted. The goal is to raise with both public opinion and decision-makers the consciousness that there exists a real threat to human society in the form of a looming energy crisis. This book is comprised of 11 chapters and begins by emphasizing energy as the oxygen of economic life, an essential requirement for the development of modern society, and how a shortage or limitation of energy resources can seriously endanger the world's economic development. The constraints that will limit the supply of certain types of energy are highlighted, along with the importance of long-term planning. The next section deals with the politics of energy, paying particular attention to the oil crisis and its impact on international relations since October 1973, along with the nuclear power crisis and the proliferation of nuclear weapons. The relationship between geopolitics and energy policy and the nature of the energy problem are also discussed, together with energy sources such as coal, natural gas, and nuclear energy. The final chapter assesses the economic effects of a massive increase in oil prices. This monograph will be of interest to energy policymakers and government officials.
Thermomechanics
An Introduction to the Governing Equations of Thermodynamics and of the Mechanics of Fluids
1st Edition
J. C. Gibbings
J. H. Horlock + 1 more
English
Thermomechanics gives an introduction to the governing equations of thermodynamics and of the mechanics of fluids. The book first gives a summary of the Newtonian mechanics of rigid bodies, which is followed by a discussion of mechanical properties of infinitesimal elements, including continuum, density, surface tension, stresses, and pressure. Temperature and the zero'th law; units; and the system of finite size are then examined. The book also explains the laws of thermodynamics including its applications. Heat processes, motionless fluids, and mixtures of phases are also tackled. The text then explains the conservation of mass in a fluid flow; the equations relating process phenomena; and the momentum equation for fluids in motion. The last part encompasses the adiabatic flow. The text will best serve those interested in thermomechanics and related concepts.
The Process of Learning Mathematics
The Commonwealth and International Library: Mathematical Topics
1st Edition
L. R. Chapman
English
The Process of Learning Mathematics is a collection of essays from a two-term course of intercollegiate lectures for students of B.Ed. degree. This collection starts with two different views on the nature of mathematics. One essay discusses the role of intuition in understanding mathematics, while another paper expounds on the role of logic. This book then discusses the generalization, structure, and approximations used in teaching mathematics, and emphasizes the problems of applied mathematics and technology pertaining to equations of motion, mathematical representation of physical phenomena, or in relations such as conservation of matter. One paper reviews Piaget's studies on the development of children's thinking process, noting that teachers should consider the level of thinking the pupil uses when designing his teaching material. Another essay deals with how the existing knowledge in a student can affect new kinds of learning through assimilation and accommodation. This book then describes the use of symbols and "reflective intelligence," addressing reflective activities, communication, and the contribution of symbols. This text then discusses computer-assisted education and several mathematical teaching or learning experiments. This compendium can prove useful for mathematics majors, educators, school administrators, and math teachers.
Elements of Probability Theory
1st Edition
L. Z. Rumshiskii
English
Elements of Probability Theory focuses on the basic ideas and methods of the theory of probability. The book first discusses events and probabilities, including the classical meaning of probability, fundamental properties of probabilities, and the primary rule for the multiplication of probabilities. The text also touches on random variables and probability distributions. Topics include discrete and random variables; functions of random variables; and binomial distributions. The selection also discusses the numerical characteristics of probability distributions; limit theorems and estimates of the mean; and the law of large numbers. The text also describes linear correlation, including conditional expectations and their properties, coefficient of correlation, and best linear approximation to the regression function. The book presents tables that show the values of the normal probability integral, Poisson distribution, and values of the normal probability density. The text is a good source of data for readers and students interested in probability theory.
Mathematical Analysis
A Special Course
1st Edition
G. Ye. Shilov
I.N. Sneddon + 2 more
English
Mathematical Analysis: A Special Course focuses on the study of mathematical analysis. The book first discusses set theory, including operations on sets, countable sets, equivalence of sets, and sets of the power of the continuum. The text also discusses the elements of the theory of metric and normed linear spaces. Topics include convergent sequences and closed sets; theorem of the fixed point; normed linear spaces; and continuous functions and compact spaces. The selection also discusses the calculus of variations; the theory of the integral; and geometry of Hilbert space. The text also covers differentiation and integration, including functions of bounded variation, derivative of a non-decreasing function, differentiation of functions of sets, and the Stieltjes integral. The book also looks at the Fourier transform. Topics include convergence of Fourier series; Laplace transform; Fourier transform in the case of various independent variables; and quasi-analytic classes of functions. The text is a valuable source of data for readers interested in the study of mathematical analysis.
Computers and Microprocessors
Made Simple
1st Edition
George H. Olsen + 1 more
English
Computers and Microprocessors: Made Simple covers the basic concepts and applications of computers and microprocessors. The book discusses the basic concepts behind the architecture of a small digital computer including logic systems and the major functional blocks of the computer. The text also tackles the applications and operation of analog computers, electronic analog computers, and digital computers and its software (higher-level programming languages and flowcharts). Microprocessors are also discussed with regard to its evolution, architecture, types, and future trends. Students taking computer courses will find the book useful.
Reactor Safeguards
International Series of Monographs on Nuclear Energy
1st Edition
Charles R. Russell
English
Reactor Safeguards focuses on the measures and approaches in the safeguard of reactors. The book first discusses the development of nuclear reactors, including the emergence of radiation hazards, construction of nuclear reactors in Chicago, and containment of reactors. The text also focuses on radioactive materials; reactor kinetics; and control and safety systems of reactors. The text discusses the containment of nuclear reactors. Topics include nuclear excursions; combustion of reactor materials; melting of reactor fuels; design of containment structures; and size of breaks or leaks in cooling systems. The text also describes the dispersion of radioactive materials, including problems in operations, diffusion theory, and nomograms for graphical solutions. The book also highlights the possible damages that a nuclear reactor accident can produce. Considerations include the permissible dose of radiation, exposure to nuclear radiations, and evacuation from a contaminated area. The text is a valuable source of data for readers, engineers, and physicists who are responsible in hazard analysis and site selection.
A Collection of Problems on a Course of Mathematical Analysis
International Series of Monographs in Pure and Applied Mathematics
1st Edition
G. N. Berman
I. N. Sneddon + 2 more
English
A Collection of Problems on a Course of Mathematical Analysis is a collection of systematically selected problems and exercises (with corresponding solutions) in mathematical analysis. A common instruction precedes a group of problems of the same type. Problems with a physics content are preceded by the necessary physical laws. In the case of more or less difficult problems, hints are given in the answers. This book is comprised of 15 chapters and begins with an overview of functions and methods of specifying them; notation for and classification of functions; elementary investigation of functions; and trigonometric and inverse trigonometric functions. The following chapters deal with limits and tests for their existence; differential calculus, with emphasis on derivatives and differentials; functions and curves; definite and indefinite integrals; and methods of evaluating definite integrals. Some applications of the integral in geometry, statics, and physics are also considered; along with functions of several variables; multiple integrals and iterated integration; line and surface integrals; and differential equations. The final chapter is devoted to trigonometric series. This monograph is intended for students studying mathematical analysis within the framework of a technical college course.

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