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Essays in the History of Lie Groups and Algebraic Groups 豆瓣
作者: Armand Borel 出版社: American Mathematical Society 2001 - 8
A co-publication of the AMS and the London Mathematical Society
Lie groups and algebraic groups are important in many major areas of mathematics and mathematical physics. We find them in diverse roles, notably as groups of automorphisms of geometric structures, as symmetries of differential systems, or as basic tools in the theory of automorphic forms. The author looks at their development, highlighting the evolution from the almost purely local theory at the start to the global theory that we know today. Starting from Lie's theory of local analytic transformation groups and early work on Lie algebras, he follows the process of globalization in its two main frameworks: differential geometry and topology on one hand, algebraic geometry on the other. Chapters II to IV are devoted to the former, Chapters V to VIII, to the latter.
The essays in the first part of the book survey various proofs of the full reducibility of linear representations of SL2(C)
, the contributions of H. Weyl to representations and invariant theory for semisimple Lie groups, and conclude with a chapter on E. Cartan's theory of symmetric spaces and Lie groups in the large.
The second part of the book first outlines various contributions to linear algebraic groups in the 19th century, due mainly to E. Study, E. Picard, and above all, L. Maurer. After being abandoned for nearly fifty years, the theory was revived by C. Chevalley and E. Kolchin, and then further developed by many others. This is the focus of Chapter VI. The book concludes with two chapters on the work of Chevalley on Lie groups and Lie algebras and of Kolchin on algebraic groups and the Galois theory of differential fields, which put their contributions to algebraic groups in a broader context.
Professor Borel brings a unique perspective to this study. As an important developer of some of the modern elements of both the differential geometric and the algebraic geometric sides of the theory, he has a particularly deep understanding of the underlying mathematics. His lifelong involvement and his historical research in the subject area give him a special appreciation of the story of its development.
Astrology and Cosmology in Early China 豆瓣
作者: David W. Pankenier 出版社: Cambridge University Press 2013 - 11
http://www.cambridge.org/us/academic/subjects/history/east-asian-history/astrology-and-cosmology-early-china-conforming-earth-heaven
The ancient Chinese were profoundly influenced by the Sun, Moon and stars, making persistent efforts to mirror astral phenomena in shaping their civilization. In this pioneering text, David W. Pankenier introduces readers to a seriously understudied field, illustrating how astronomy shaped the culture of China from the very beginning and how it influenced areas as disparate as art, architecture, calendrical science, myth, technology, and political and military decision-making. As elsewhere in the ancient world, there was no positive distinction between astronomy and astrology in ancient China, and so astrology, or more precisely, astral omenology, is a principal focus of the book. Drawing on a broad range of sources, including archaeological discoveries, classical texts, inscriptions and paleography, this thought-provoking book documents the role of astronomical phenomena in the development of the 'Celestial Empire' from the late Neolithic through the late imperial period.
Fiefs and Vassals 豆瓣
作者: Susan Reynolds 出版社: Oxford University Press, USA 1996 - 6
Fiefs and Vassals has changed our view of the medieval world. It offers a fundamental challenge to orthodox conceptions of feudalism. Susan Reynolds argues that the concepts of the fief and of vassalage, as understood by historians of medieval Europe, were constructed by post-medieval scholars from the works of medieval academic lawyers and tha they provide a bad guide to the realities of medieval society. This is a radical new examination of relations between rulers, nobles, and free men, the distillation of wide-ranging research by a leading medieval historian. It has revolutionized the way we think of the Middle Ages.
The Theory of Money and Credit 豆瓣
作者: Ludwig von Mises 译者: H.E. Batson 出版社: Liberty Fund Inc 1981 - 1
In 1912, when Mises, at age thirty-one, wrote this landmark book, no monetary theory could be described as both securely founded on economic reality and properly incorporated into an analysis of the entire economic system. "The Theory of Money and Credit" opened new vistas. It integrated monetary theory into the main body of economic analysis for the first time, providing fresh new insights into the nature of money and its role in the economy. As the well-known "Austrian" economist Rothbard writes in his new foreword: "This book performed the mighty feat of integrating monetary with micro theory, of building monetary theory upon the individualistic foundations of general economic analysis."
Language and Woman's Place 豆瓣
作者: Robin Tolmach Lakoff 出版社: Oxford University Press, USA 2004 - 7
The 1975 publication of "Language and Woman's Place", with its argument that language is fundamental to gender inequality, inaugurated language and gender research. This volume presents the original text along with commentaries by Lakoff and 26 other leading scholars of language, gender, and sexuality. The new edition places the text in contemporary context for a new generation of readers.
语言测试指南 豆瓣
A Guide to Language Testing: Development, Evaluation and Research
作者: [美]亨宁 出版社: 外语教学与研究出版社 2001 - 1
这是作者为英语教师撰写的语言测试课程的教材,主要介绍语言测试中常用的统计知识和技术,非常实用。语言测试作为一门学科发展很快,虽然本书出版于1987年,但是书中内容对于我国英语教师以及从事语言测试开发的人来说仍然非常有用。
本书用深入浅出的语言介绍了语言测试中常用的统计方法和手段,读者只需具备基本的教学知识即可掌握书中内容,因此非常实用。
Task-based Language Learning and Teaching (Oxford Applied Linguistics) 豆瓣
作者: Rod Ellis 出版社: Oxford University Press, USA 2003 - 4
This book explores the relationship between research, teaching, and tasks, and seeks to clarify the issues raised by recent work in this field. The book shows how research and task-based teaching can mutually inform each other and illuminate the areas of task-based course design, methodology, and assessment. The author brings an accessible style and broad scope to an area of contemporary importance to both SLA and language pedagogy.
The Sound and the Fury 豆瓣
作者: William Faulkner 出版社: Vintage 1995 - 1
Ever since the first furore was created on its publication in 1929, The Sound and the Fury has been considered one of the key novels of this century. Depicting the gradual disintegration of the Compson family through four fractured narratives, The Sound and the Fury explores intense, passionate family relationships where there is no love, only self-centredness. At its heart this is a novel about lovelessness - 'only an idiot has no grief; only a fool would forget it. What else is there in this world sharp enough to stick to your guts?' (20040923)
The Organometallic Chemistry of the Transition Metals 豆瓣
作者: Robert H. Crabtree 出版社: Wiley 2009 - 4
"One impressive and compressive book. . . . This review would have to be book size to do full justice to all the insights in this volume." —Journal of Metals Online Fully updated and expanded to reflect recent advances, this Fifth Edition of the classic text provides students and professional chemists with a comprehensive introduction to the principles and general properties of organometallic compounds, as well as including practical information on reaction mechanisms and?detailed descriptions of contemporary applications. With increased focus on organic synthesis applications, nanoparticle science, and green chemistry, the Fifth Edition brings this vital resource up to date. New to the Fifth Edition: Chapters have been updated with relevant examples in the field, modern trends, and new applications; the organic applications chapter has been completely rewritten New end-of-chapter problems, along with their solutions Coverage enhanced with developments in nanoparticle science Increased focus on green chemistry An unparalleled pedagogic resource as well as a valuable working reference for professional chemists, with comprehensive coverage and up-to-date information, students and researchers?in organic and organometallic chemistry will turn to The Organometallic Chemistry of the Transition Metals, Fifth Edition for the critical information they need on organometallic compounds, their preparation, and their use in synthesis.
Electricity and Magnetism 豆瓣
作者: Edward M. Purcell 出版社: McGraw-Hill Higher Education 1984 - 10
The sequence of topics covered include: electrostatics; steady currents; magnetic field; electromagnetic induction; and electric and magnetic polarization in matter. Taking a nontraditional approach, students focus on fundamental questions from different frames of reference. Each chapter has figures and problems to apply concepts studied.
The Qing Empire and the Opium War 豆瓣
作者: Mao Haijian 译者: Craig Smith 出版社: Cambridge University Press 2016 - 10
The Opium War of 1839-42, the first military conflict to take place between China and the West, is a subject of enduring interest. Mao Haijian, one of the most distinguished and well-known historians working in China, presents the culmination of more than ten years of research in a revisionist reading of the conflict and its main Chinese protagonists. Mao examines the Qing participants in terms of the moral standards and intellectual norms of their own time, demonstrating that actions which have struck later observers as ridiculous can be understood as reasonable within these individuals' own context. This English-language translation of Mao's work offers a comprehensive response to the question of why the Qing Empire was so badly defeated by the British in the first Opium War - an answer that is distinctive and original within both Chinese and Western historiography, and supported by a wealth of hitherto unknown detail.