We are in the midst of a digital revolution - until recently, the majority of appliances used in everyday life have been developed with analogue technology. Now, either at home or out and about, we are surrounded by digital technology such as digital 'film', audio systems, computers and telephones. From the late 1940s until the 1970s, analogue technology was a genuine alternative to digital, and the two competing technologies ran parallel with each other. During this period, a community of engineers, scientists, academics and businessmen continued to develop and promote the analogue computer. At the height of the Cold War, this community and its technology met with considerable success in meeting the urgent demand for high speed computing for use in the design and simulation of rockets, aircraft and manned space vehicles. The Analogue Alternative tracks the development, commercialisation and ultimate decline of the electronic analogue computer in the USA and Britain. It examines the roles played by technical, economic and cultural factors in the competition between the alternative technologies, but more importantly, James Small demonstrates that non-technical factors, such as the role of 'military enterprise' and the working practices of analogue engineers, have been the most crucial in analogue's demise.^l This book will be of interest to students of the history and sociology of science and technology, particularly computing. It will also be relevant to those interested in technical change and innovation, and the study of scientific cultures.
The Law of the Sea (LOS) treaty resulted from some of the most complicated multilateral negotiations ever conducted. Difficult bargaining produced a remarkably sophisticated agreement on the financial aspects of deep ocean mining and on the financing of a new international mining entity. This book analyzes those negotiations along with the abrupt U.S. rejection of their results. Building from this episode, it derives important and subtle general rules and propositions for reaching superior, sustainable agreements in complex bargaining situations. James Sebenius shows how agreements were possible among the parties because and not in spite of differences in their values, expectations, and attitudes toward time and risk. He shows how linking separately intractable issues can generate a zone of possible agreement. He analyzes the extensive role of a computer model in the LOS talks. Finally, he argues that in many negotiations neither the issues nor the parties are fixed and develops analytic techniques that predict how the addition or deletion of either issues or parties may affect the process of reaching agreement.
Mathematics and statistics are the bedrock of modern science. No matter which branch of science you plan to work in, you simply cannot avoid quantitative approaches. And while you won’t always need to know a great deal of theory, you will need to know how to apply mathematical and statistical methods in realistic scenarios. That is precisely what this book teaches. It covers the mathematical and statistical topics that are ubiquitous in early undergraduate courses, but does so in a way that is directly linked to science. Beginning with the use of units and functions, this book covers key topics such as complex numbers, vectors and matrices, differentiation (both single and multivariable), integration, elementary differential equations, probability, random variables, inference and linear regression. Each topic is illustrated with widely-used scientific equations (such as the ideal gas law or the Nernst equation) and real scientific data, often taken directly from recent scientific papers. The emphasis throughout is on practical solutions, including the use of computational tools (such as Wolfram Alpha or R), not theoretical development. There is a large number of exercises, divided into mathematical drills and scientific applications, and full solutions to all the exercises are available to instructors. Mathematics and Statistics for Science covers the core methods in mathematics and statistics necessary for a university degree in science, highlighting practical solutions and scientific applications. Its pragmatic approach is ideal for students who need to apply mathematics and statistics in a real scientific setting, whether in the physical sciences, life sciences or medicine.
This book is concerned with cardinal number valued functions defined for any Boolean algebra. Examples of such functions are independence, which assigns to each Boolean algebra the supremum of the cardinalities of its free subalgebras, and cellularity, which gives the supremum of cardinalities of sets of pairwise disjoint elements. Twenty-one such functions are studied in detail, and many more in passing. The questions considered are the behaviour of these functions under algebraic operations such as products, free products, ultraproducts, and their relationships to one another. Assuming familiarity with only the basics of Boolean algebras and set theory, through to simple infinite combinatorics and forcing, the book reviews current knowledge about these functions, giving complete proofs for most facts. A special feature of the book is the attention given to open problems, of which 97 are formulated. Based on Cardinal Functions on Boolean Algebras (1990) by the same author, the present work is nearly twice the size of the original work. It contains solutions to many of the open problems which are discussed in greater detail than before. Among the new topics considered are ultraproducts and FedorchukA-s theorem, and there is a more complete treatment of the cellularity of free products. Diagrams at the end of the book summarize the relationships between the functions for many important classes of Boolean algebras, including tree algebras and superatomic algebras. Review: "This book is an indispensable tool for anyone working in Boolean algebra, and is also recommended for set-theoretic topologists." - Zentralblatt MATH
This monograph deals with the application of the method of the extremal metric to the theory of univalent functions. Apart from an introductory chapter in which a brief survey of the development of this theory is given there is therefore no attempt to follow up other methods of treatment. Nevertheless such is the power of the present method that it is possible to include the great majority of known results on univalent functions. It should be mentioned also that the discussion of the method of the extremal metric is directed toward its application to univalent functions, there being no space to present its numerous other applications, particularly to questions of quasiconformal mapping. Also it should be said that there has been no attempt to provide an exhaustive biblio graphy, reference normally being confined to those sources actually quoted in the text. The central theme of our work is the General Coefficient Theorem which contains as special cases a great many of the known results on univalent functions. In a final chapter we give also a number of appli cations of the method of symmetrization. At the time of writing of this monograph the author has been re ceiving support from the National Science Foundation for which he wishes to express his gratitude. His thanks are due also to Sister BARBARA ANN Foos for the use of notes taken at the author's lectures in Geo metric Function Theory at the University of Notre Dame in 1955-1956.
Morson and Dawson's Gastrointestinal Pathology is one of the 'Gold Standards' of pathology textbooks. It has been completely revised to incorporate the latest advances in this rapidly evolving field including the developments in gastric cancer and Helicobacter pylori and the revised classification of other common gastrointestinal conditions. This new edition features a wealth of new material presented in full colour for the first time.
The Physics of Quantum Mechanics aims to give students a good understanding of how quantum mechanics describes the material world. It shows that the theory follows naturally from the use of probability amplitudes to derive probabilities. It stresses that stationary states are unphysical mathematical abstractions that enable us to solve the theory's governing equation, the time-dependent Schroedinger equation. Every opportunity is taken to illustrate the emergence of the familiar classical, dynamical world through the quantum interference of stationary states. The text stresses the continuity between the quantum world and the classical world, which is merely an approximation to the quantum world. The connections between observables, operators and transformations are clearly explained and the standard commutation rules derived from the properties of spacetime. A chapter is devoted to entanglement, quantum computation, density operators and their role in thermodynamics, and the measurement problem. Scattering phenomena, including the origin of radioactivity, are handled early on in the accessible context of one dimension, and at the end of the book with some rigour in three dimensions. Hydrogen and helium are discussed in some detail and it is shown that quantum mechanics enables us to understand the structure of the periodic table without engaging with the complexities of many-electron atoms. Dirac notation is used from the outset and students are trained to move easily from one representation to another, choosing whichever representation is best suited to a particular problem. The mathematical prerequisites are no more than simple vector algebra, Taylor series expansion and the use of integrating factors to solve linear first order differential equations. Rigorous algebraic methods are preferred to the solution of partial differential equations.
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