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This vividly illustrated history of the International Congress of Mathematicians- a meeting of mathematicians from around the world held roughly every four years- acts as a visual history of the 25 congresses held between 1897 and 2006, as well as a story of changes in the culture of mathematics over the past century. Because the congress is an int
On August 8, 1900, at the second International Congress of Mathematicians in Paris, David Hilbert delivered his famous lecture in which he described twenty-three problems that were to play an influential role in mathematical research. A century later, on May 24, 2000, at a meeting at the Collège de France, the Clay Mathematics Institute (CMI) announced the creation of a US$7 million prize fund for the solution of seven important classic problems which have resisted solution. The prize fund is divided equally among the seven problems. There is no time limit for their solution. The Millennium Prize Problems were selected by the founding Scientific Advisory Board of CMI—Alain Connes, Arthur Jaffe, Andrew Wiles, and Edward Witten—after consulting with other leading mathematicians. Their aim was somewhat different than that of Hilbert: not to define new challenges, but to record some of the most difficult issues with which mathematicians were struggling at the turn of the second millennium; to recognize achievement in mathematics of historical dimension; to elevate in the consciousness of the general public the fact that in mathematics, the frontier is still open and abounds in important unsolved problems; and to emphasize the importance of working towards a solution of the deepest, most difficult problems. The present volume sets forth the official description of each of the seven problems and the rules governing the prizes. It also contains an essay by Jeremy Gray on the history of prize problems in mathematics.
This is a collection of surveys on important mathematical ideas, their origin, their evolution and their impact in current research. The authors are mathematicians who are leading experts in their fields. The book is addressed to all mathematicians, from undergraduate students to senior researchers, regardless of the specialty.
In 1913, Russian imperial marines stormed an Orthodox monastery at Mt. Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping—and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements. Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin—who founded the famous Moscow School of Mathematics—were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite—and led to the founding of descriptive set theory. The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and creativity.
Based on nearly 500 oral history interviews, When Sonia Met Boris is an innovative study of Jewish daily life in the Soviet Union, giving a long-suppressed voice to the Jewish men and women who survived the sustained violence and everyday hardship of Stalin's Russia. It reveals how postwar Soviet Jews came to view their Jewish identity as an obstacle-a shift in attitude with ramifications for contemporary Russian Jewish culture and the broader Jewish diaspora.
This book provides a multidisciplinary analysis of the potential conflict between a government’s duty to protect children and a parent(s)’ right to raise children in a manner they see fit. Using philosophical, bioethical, and legal analysis, the author engages with key scholars in pediatric decision-making and individual and religious rights theory. Going beyond the parent-child dyad, the author is deeply concerned both with the inteests of the broader society and with the appropriate limits of government interference in the private sphere. The text offers a balance of individual and population interests, maximizing liberty but safeguarding against harm. Bioethics and law professors will therefore be able to use this text for both a foundational overview as well as specific, subject-level analysis. Clinicians such as pediatricians and gynecologists, as well as policy-makers can use this text to achieve balance between these often competing claims. The book is written by a physician with practical and theoretical knowledge of the subject, and deep sympathy for the parental and family perspectives. As such, the book proposes a new way of evaluating parental and state interventions in children's’ healthcare: a refreshing approach and a useful addition to the literature.
"Will computers ever think like humans?" "Not if they're well designed." Mixing academic essay, anti-art philosophy, unsettling memoir and wry wit, Noise Music is a profoundly complex and open-ended collage covering a plethora of topics including psychology of information processing, consciousness, science, time, perception, art theory and criticism, morals, mental illness, the human condition, artificial intelligence, cognitive biases, language and communication. However, at its core the book is about the limits of human knowledge and understanding due to how minds and senses work. Going hand in hand with the philosophy, the aleatory narrative and miscellaneous scope expects readers to critique and expand beyond their conventional aesthetic modes of thinking and, in the end, makes the book itself "unsolvable."