Mathematics

by Dennis E. Grawoig and etc.

Published December 1963
This major survey of mathematics, featuring the work of 18 outstanding Russian mathematicians and including material on both elementary and advanced levels, encompasses 20 prime subject areas in mathematics in terms of their simple origins and their subsequent sophisticated development.

Dramatic advances in life expectancy mean that today's retirees must plan on living into their eighties, their nineties, and even beyond. Longer life expectancies are the symbol of a prosperous society, but this progress also means that some retirees will need to plan conservatively and cut back substantially on their living standards or risk living so long that they exhaust their resources. This book examines the role that life annuities can play in helping people protect themselves against such outcomes.A life annuity is an insurance product that pays out a periodic amount for as long as the annuitant is alive, in exchange for a premium. The book begins with a history of life annuity markets during the twentieth century in the United States and elsewhere. It then explores recent trends in annuity pricing and money's worth, as well as the economic value generated for purchasers of these products. The book explains the potential importance of inflation-protected annuities and stock-market-linked variable annuities in providing more complete retirement security.
The concluding chapters examine life annuities in various institutional settings and the tax treatment of annuity products.

Fourteen articles by different authors describe digital audio and computer music systems made possible by advances in digital signal processing theory, hardware design, and programming techniques. They focus on models that combine time-domain and frequency-domain representations (grains, wavelets,

This book, prepared under the auspices of the European Unemployment Program, uses a compact econometric model to identify the sources of the unemployment problem and to suggest remedies.Since 1974 Europe has been burdened with steadily persistent and increasing unemployment. This book, prepared under the auspices of the European Unemployment Program, uses a compact econometric model to identify the sources of the unemployment problem and to suggest remedies. Focusing on ten European countries, with a chapter on the United States for comparative perspective, the studies are unique in adopting a single theoretical model to guide empirical research. The common framework allows for sharply focused investigation and produces findings whose significance does not end at national boundaries. The in depth country studies are preceded by an overview that includes a detailed description of the theoretical model, a summary of findings, and policy recommendations and a chapter by Olivier Blanchard that discusses different approaches to the analysis of the unemployment problem and relates this work to earlier efforts.ContributorsTorbert M. Anderson, Javier Andres, Charles R. Bean, Olivier Jean Blanchard, Michael C. Burda, Jean J. Dolado, Jacques H. Dreze, Wim Driehuis, H. Entorf, Wolfgang Franz, Frederic Gagey, Andrea Gavosto, Heinz Koenig, Jean-Paul Lambert, Fati Mehra, Cesar Molinas, Peter Neudorfer, Benoit Ottenwaelter, Per B. Overgaard, Karl Pichelmann, Miguel Sebastian, Henri R. Snessens, Werner Smolny, Fiorella Padoa Schioppa, Michael Wagner, Antonio Zabalza. The Countries: Austria, Belgium, Denmark, France, Germany, Italy, The Netherlands, Spain, The United Kingdom, The United States

The CLOS metaobject protocol is a high-performance extension to the CommonLisp Object System. The authors, who developed the metaobject protocol and who were among the group that developed CLOS, introduce this approach to programming language design, describe its evolution and design principles, and present a formal specification of a metaobject protocol for CLOS. The authors show that the "art of metaobject protocol design" lies in creating a synthetic combination of object-orientated and reflective techniques that can be applied under existing software engineering considerations to yield a new approach to programming language design that meets a broad set of design criteria. One of the major benefits of including the metaobject protocol in programming languages is that it allows users to adjust the language to better suit their needs. Metaobject protocols also disprove the adage that adding more flexibility to a programming language reduces its performance. In presenting the principles of metaobject protocols, the authors work with actual code for a simplified implementation of CLOS and its reader to gain hands-on experience with the design process.
They also include a number of exercises that address important concerns and open issues.

This book develops a consistent macroscopic theory of electromagnetism and discusses the relation between circuit theory and field theory. The theory is developed in successive steps from the Lorentz force, the integral form of Maxwell's equations in free space, and suitable macroscopic models of polarized and magnetized matter.Special features* Covers the electromagnetism of moving bodies and the process of electromechanical energy conversion* Introduces a power-series technique for analyzing quasi-static fields and quasi-stationary systems* Emphasizes the synthesis of fields as opposed to the analysis of fields* Presents, in an appendix, the four-dimensional relativistic formulation of macroscopic electrodynamics recently developed by one of the authors (L. J. Chu)