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Differential Geometry and Control
Contains papers from a summer 1997 meeting on recent developments and important open problems in geometric control theory. Topics include linear control systems in Lie groups and controllability, real analytic geometry and local observability, singular extremals of order 3 and chattering, infinite time horizon stochastic control problems in hyperbolic three space, and Monge-Ampere equations. No index. Annotation copyrighted by Book News, Inc., Portland, OR.
$K$-Theory and Algebraic Geometry: Connections with Quadratic Forms and Division Algebras
Volume 2 of two - also available in a set of both volumes.
Stochastic Analysis
This book deals with current developments in stochastic analysis and its interfaces with partial differential equations, dynamical systems, mathematical physics, differential geometry, and infinite-dimensional analysis. The origins of stochastic analysis can be found in Norbert Wiener's construction of Brownian motion and Kiyosi Itô's subsequent development of stochastic integration and the closely related theory of stochastic (ordinary) differential equations. The papers in this volume indicate the great strides that have been made in recent years, exhibiting the tremendous power and diversity of stochastic analysis while giving a clear indication of the unsolved problems and possible future directions for development. The collection represents the proceedings of the AMS Summer Institute on Stochastic Analysis, held in July 1993 at Cornell University. Many of the papers are largely expository in character while containing new results.
A Korean Scholar’s Rude Awakening in Qing China
Two years after Adam Smith’s Wealth of Nations was published in 1776, Pak Chega’s (1750–1805) Discourse on Northern Learning appeared on the opposite corner of the globe. Both books presented notions of wealth and the economy for critical review: the former caused a stir across Europe, the latter influenced only a modest group of Chosŏn (1392–1897) Korea scholars and other intellectuals. Nevertheless, the ideas of both thinkers closely reflected the spirit of their times and helped define certain schools of thought—in the case of Pak, Northern Learning (Pukhak), which disparaged the Chosŏn Neo-Confucian state ideology as inert and ineffective. Years of humiliation and resentment ...
Encounter, Transformation, and Agency in a Connected World
Analysing a series of narratives that described women who transformed the worlds they lived in, this book introduces students and scholars to the lives of the women of Joseon Korea 1550-1700. Exploring their interactions both at home and abroad, this book shows how the agency of these women reached far across the globe The narratives explored here appeared in a wide range of written, visual and material forms, from woodcuts and printed texts, letters, journals, and chronicles to inscriptions on monuments, and were produced by Joseon’s elite officials, grieving families, Japanese civic administrators, Jesuit missionaries, local historians of the Japanese ceramic industry, and men of the Dut...
Turning toward Edification
Turning toward Edification discusses foreigners in Korea from before the founding of Chosŏn in 1392 until the mid-nineteenth century. Although it has been common to describe Chosŏn Korea as a monocultural and homogeneous state, Adam Bohnet reveals the considerable presence of foreigners and people of foreign ancestry in Chosŏn Korea as well as the importance to the Chosŏn monarchy of engagement with the outside world. These foreigners included Jurchens and Japanese from border polities that formed diplomatic relations with Chosŏn prior to 1592, Ming Chinese and Japanese deserters who settled in Chosŏn during the Japanese invasion between 1592 and 1598, Chinese and Jurchen refugees who ...
Moonshine, the Monster, and Related Topics
This is the proceedings of a Joint Summer Research Conference held at Mount Holyoke College in Jun 1994. As perhaps the first conference proceedings devoted exclusively to the subject known as "Moonshine", this work contains something for many mathematicians and physicists. Many of the results featured are not available elsewhere.
Algebraic $K$-Theory
This volume presents the proceedings of the Joint Summer Research Conference on Algebraic K-theory held at the University of Washington in Seattle. High-quality surveys are written by leading experts in the field. Included is an up-to-date account of Voevodsky's proof of the Milnor conjecture relating the Milnor K-theory of fields to Galois cohomology. The book is intended for graduate students and research mathematicians interested in $K$-theory, algebraic geometry, and number theory.
Mathematical Foundations of Quantum Field Theory and Perturbative String Theory
Conceptual progress in fundamental theoretical physics is linked with the search for the suitable mathematical structures that model the physical systems. Quantum field theory (QFT) has proven to be a rich source of ideas for mathematics for a long time. However, fundamental questions such as ``What is a QFT?'' did not have satisfactory mathematical answers, especially on spaces with arbitrary topology, fundamental for the formulation of perturbative string theory. This book contains a collection of papers highlighting the mathematical foundations of QFT and its relevance to perturbative string theory as well as the deep techniques that have been emerging in the last few years. The papers are organized under three main chapters: Foundations for Quantum Field Theory, Quantization of Field Theories, and Two-Dimensional Quantum Field Theories. An introduction, written by the editors, provides an overview of the main underlying themes that bind together the papers in the volume.
