Times Without Number Examples
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Specification and Verification of Concurrent Systems
Author: Charles Rattray
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-11-11
This volume contains papers presented at the BCS-FACS Workshop on Specification and Verification of Concurrent Systems held on 6-8 July 1988, at the University of Stirling, Scotland. Specification and verification techniques are playing an increasingly important role in the design and production of practical concurrent systems. The wider application of these techniques serves to identify difficult problems that require new approaches to their solution and further developments in specification and verification. The Workshop aimed to capture this interplay by providing a forum for the exchange of the experience of academic and industrial experts in the field. Presentations included: surveys, original research, practical experi ence with methods, tools and environments in the following or related areas: Object-oriented, process, data and logic based models and specifi cation methods for concurrent systems Verification of concurrent systems Tools and environments for the analysis of concurrent systems Applications of specification languages to practical concurrent system design and development. We should like to thank the invited speakers and all the authors of the papers whose work contributed to making the Workshop such a success. We were particularly pleased with the international response to our call for papers. Invited Speakers Pierre America Philips Research Laboratories University of Warwick Professor M. Joseph David Freestone British Telecom Organising Committee Charles Rattray Dr Muffy Thomas Dr Simon Jones Dr John Cooke Professor Ken Turner Derek Coleman Maurice Naftalin Dr Peter Scharbach vi Preface We would like to aeknowledge the finaneial eontribution made by SD-Sysems Designers pie, Camberley, Surrey.
Al-Kashi's Miftah al-Hisab, Volume III: Algebra
Jamshīd al-Kāshī’s Miftāḥ al-Ḥisab (Key to Arithmetic) was largely unknown to researchers until the mid-20th century, and has not been translated to English until now. This is the third and final book in a multi-volume set that finally brings al-Kāshī’s groundbreaking textbook to English audiences in its entirety. As soon as it was studied by modern researchers, Miftah changed some false assumptions about the history of certain topics in mathematics. Written as a textbook for students of mathematics, astronomy, accounting, engineering, and architecture, Miftah covers a wide range of topics in arithmetic, geometry, and algebra. By sharing al-Kāshī’s most comprehensive work with a wider audience, this book will help establish a more complete history of mathematics, and extend al-Kāshī’s influence into the 21st century and beyond. The book opens by briefly recounting al-Kāshī’s biography, so as to situate readers in the work’s rich historical context. His impressive status in the kingdom of Ulugh Beg is detailed, as well as his contributions to both mathematics and astronomy. As a master calculator and astronomer, al-Kāshī’s calculations of 2π and sin(10) were by far the most accurate for almost two centuries. His law of cosines is still studied in schools today. This translation contributes to the understanding and appreciation of al-Kāshī’s esteemed place in the scientific world. A side-by-side presentation of the source manuscript—one of the oldest known copies—and the English translation is provided on each page. Detailed footnotes are also provided throughout, which will offer readers an even deeper look at the text’s mathematical and historical basis. Researchers and students of the history of mathematics will find this volume indispensable in filling in a frequently overlooked time period and region. This volume will also provide anybody interested in the history of Islamic culture with an insightful look at one of the mathematical world’s most neglected figures.
Aristotle, Adam Smith and Karl Marx
Author: Spencer J. Pack
language: en
Publisher: Edward Elgar Publishing
Release Date: 2010-01-01
. . . a very valuable introduction to Aristotle s economics. History of Economic Ideas Spencer Pack is completely at home with the difficult works of Aristotle, Adam Smith and Karl Marx. To walk with him through their writings is to discover that they are surprisingly helpful in understanding the modern world of computers, credit crunches, religious differences, international conflicts, and unemployment due to oversaving in China and undersaving in America. One is left after reading them with growing admiration for the giants of past intellectual history. This is only one lesson that Pack teaches in this illuminating book. Mark Blaug, University of London and University of Buckingham, UK This is an unusually ambitious and unpretentious work. And it is successful. Pack effectively compares the ideas of each of the three great men without forcing those of one upon the others. The topics are exchange value, money, capital, character, government, and change, which the author considers to be the fundamental issues in 21st century political economy. Pack is especially successful in utilizing a wide spectrum of secondary (including contemporary) sources to enrich the analysis of the expected primary sources. Student readers will be exposed to the opportunities and problems of variation in interpretation. The author has studiously avoided insinuating and privileging his own views and naively repeating well-worn and misleading, if not also erroneous, ideology-laden positions. Warren J. Samuels, Michigan State University, US Spencer Pack has written a most illuminating and insightful book. Beginning from Aristotelian foundations, Pack focuses our attention on an essential economic and moral issue: the difference between value in use and value in exchange. From this vantage point, he evaluates the arguments of Smith and Marx, demonstrating how their theories, both drawing on Aristotle, unfold into a general analysis of capitalism. His account forces us to think deeply about the nature of capitalist society. I recommend it highly. John F. Henry, University of Missouri-Kansas City, US Spencer Pack compares and contrasts Aristotle s, Smith s and Marx s theoretical systems on six fundamental issues: exchange value, money, capital, character, government, and change. This book also provides insights on issues concerning the continuing development of world money, saving, managerial capitalism, corrupt governments, and various secular and religious movements for social change.