Neal Koblitz is a co-inventor of one of the two most popular forms of encryption and digital signature, and his autobiographical memoirs are collected in this volume. Besides his own personal career in mathematics and cryptography, Koblitz details his travels to the Soviet Union, Latin America, Vietnam and elsewhere; political activism; and academic controversies relating to math education, the C. P. Snow "two-culture" problem, and mistreatment of women in academia. These engaging stories fully capture the experiences of a student and later a scientist caught up in the tumultuous events of his generation.
From the reviews: "This is a textbook in cryptography with emphasis on algebraic methods. It is supported by many exercises (with answers) making it appropriate for a course in mathematics or computer science. [...] Overall, this is an excellent expository text, and will be very useful to both the student and researcher." Mathematical Reviews
This textbook covers the basic properties of elliptic curves and modular forms, with emphasis on certain connections with number theory. The ancient "congruent number problem" is the central motivating example for most of the book. My purpose is to make the subject accessible to those who find it hard to read more advanced or more algebraically oriented treatments. At the same time I want to introduce topics which are at the forefront of current research. Down-to-earth examples are given in the text and exercises, with the aim of making the material readable and interesting to mathematicians in fields far removed from the subject of the book. With numerous exercises (and answers) included, the textbook is also intended for graduate students who have completed the standard first-year courses in real and complex analysis and algebra. Such students would learn applications of techniques from those courses, thereby solidifying their under standing of some basic tools used throughout mathematics. Graduate stu dents wanting to work in number theory or algebraic geometry would get a motivational, example-oriented introduction. In addition, advanced under graduates could use the book for independent study projects, senior theses, and seminar work.
The theory of elliptic curves and modular forms provides a fruitful meeting ground for such diverse areas as number theory, complex analysis, algebraic geometry, and representation theory. This book starts out with a problem from elementary number theory and proceeds to lead its reader into the modern theory, covering such topics as the Hasse-Weil L-function and the conjecture of Birch and Swinnerton-Dyer. This new edition details the current state of knowledge of elliptic curves.
Management and legal counsel of foreign companies operating in China as well as those outside China with Chinese business desperately need to keep up with the fast-paced antitrust developments in the most dynamic market in the world. The author of this book, Becky Koblitz, is a seasoned antitrust lawyer for a major U.S. law firm in Beijing. She has decades of legal experience as a prosecutor at the Antitrust Division of the U.S. Department of Justice, as well as in-house counsel for a German subsidiary of a major American real estate development company and as a lawyer at law firms globally. Her rich experience in the U.S., Europe and China, now often regarded as the three centers of global antitrust, makes her the perfect candidate to write a book on China's antitrust development. Her book is a quick read that tells what there is to know about China's antitrust enforcement and includes practical advice and examples for the various aspects of antitrust: dealing with competitors, dealing within the supply chain, mergers, etc. She writes in a straight-forward language such that non-antitrust lawyers can get beyond stock phrases like "illicit price coordination," "abuse of dominance," or "unilateral effect." Her book is a valuable and practical "cookbook" for antitrust compliance training and beyond. Another feature of the book is that it provides both legal and economic perspectives on antitrust analysis in China, which is important given that economic analysis is increasingly adopted by China's antitrust agencies and the Chinese courts. Thus understanding the logic and methodology behind economic analysis as applied to Chinese cases is key to conducting proper antitrust legal analysis that is tailored to the Chinese context. To write a book on the burgeoning antitrust enforcement and practice for the constantly evolving Chinese market is a real challenge. The trick, and it is not as easy as you would think, is to write simple declarative sentences, understandable to the antitrust layman, and at the same time not lose the rigor of antitrust analysis. I think this relatively short book is a remarkable achievement in meeting such a challenge, but I invite you to judge for yourself.
The development and use of medical and dental materials are highly interdisciplinary endeavors which require expertise in chemistry, materials science, medicine and/or dentistry, mechanics and design engineering. The Symposium upon which this treatise is based was organized to bring members from these communities together to explore problems of mutual interest. The biomaterials which are used in medical or dental prostheses must not only exhibit structural stability and provide the desired function, but they must also perform over extended periods of time in the environment of the body. The latter is a very stringent requirement. The oral and other physiological environments are designed by nature to break down many organic substances. Also of importance is the requirement that materials used in the prosthesis not have a deleterious effect on body tissues. Most foreign (to the body) substances are somewhat toxic to human tissues; in fact, few factors are more limiting in the medical prosthesis field than the biocompatibility problem. Some of these problems and the attempts to solve them are discussed in this volume.
The second half of the nineteenth century was an exciting time in European intellectual and social history. The period saw the growth of revolutionary activism, the rise of Darwinian evolu tionary biology, the emergence of women's rights movements, and other challenges to established ways of thinking. Progress and change were the key words of the day, and most members of the educated classes felt confident that the future would be bright. In Russia especially, the "intelligentsia" (an amorphous, pe culiarly Russian class of professors, writers, and thinkers) had the feeling that they were on the threshold of a great new age. Russia's ignominious defeat in the Crimean War in 1856 sig naled to many that wide-ranging political and social reforms were urgently needed. Most of the intelligentsia hoped that the defeat would be followed by the emancipation of the serfs, modernization of education, moves toward the equality of women, and other reforms. It was in this period that the Russian intelligentsia developed into an influential social group that concerned itself with much more than just cogitation and empty philosophizing. During the second half of the nineteenth century, Russian intellectuals increasingly assumed burdens that their counterparts in other European countries considered outside their province. The in telligentsia became the source of most political and social activ ism in Russia, the social conscience and often the sole voice of protest against autocratic and reactionary policies.
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