The fundamental theorem of algebra states that any complex polynomial must have a complex root. This book examines three pairs of proofs of the theorem from three different areas of mathematics: abstract algebra, complex analysis and topology. The first proof in each pair is fairly straightforward and depends only on what could be considered elementary mathematics. However, eac...(展开全部)

The fundamental theorem of algebra states that any complex polynomial must have a complex root. This book examines three pairs of proofs of the theorem from three different areas of mathematics: abstract algebra, complex analysis and topology. The first proof in each pair is fairly straightforward and depends only on what could be considered elementary mathematics. However, eac...(展开全部)

参照马丁•贝尔纳 的《黑色雅典娜：古典文明的亚非之根》一书重新审视史密斯的经典很有趣

By any measure, the Pythagorean theorem is the most famous statement in all of mathematics. In this book, Eli Maor reveals the full story of this ubiquitous geometric theorem. Maor shows that the theorem, although attributed to Pythagoras, was known to the Babylonians more than a thousand years earlier. Pythagoras may have been the first to prove it, but his proof - if indeed h...(展开全部)

【印】阿马蒂亚•森（Amartya Sen）， 【美】埃里克•马斯金（Eric Maskin）

黄克孙(Kerson Huang)，美国麻省理工学院物理系荣誉教授，1928年出生于中国广西南宁，1953年获麻省理工学院哲学博士学位。他在理论物理方面的研究领域是玻色-爱因斯坦凝聚和量子场论。1999年从教学岗位退休后，他致力于生物物理学研究。他是美国物理学会会员，美国艺术和科学院院士，用英文著有多部高水平物理学教科书，包括《统计力学》，《夸克、轻子和规范场》，《量子场论：从算子到路径积分》和《统计物理学导论》。另有中译《鲁拜集》及英译《易经》等译著出版。

Gauge fields are the messengers carrying signals between elementary particles, enabling them to interact with each other. Originating at the level of quarks, these basic interactions percolate upwards, through nuclear and atomic physics, through chemical and solid state physics, to make our everyday world go round. This book tells the story of gauge fields, from Maxwell's 1860 ...(展开全部)

i.r. 沙法列维奇(igor r. shafarevich)，著名代数学家。1923年6月3日生于乌克兰日托米尔 (zhytomyr)，罗蒙诺索夫国立莫斯科大学教授。早年在斯捷克洛夫数学研究所获得博士学位（师从boris delone）。对代数数论、代数几何和算术代数几何有基本的重要贡献。工作包括shafarevich-weil定理，golod-shafarevich定理、tate-shafarevich群、 grothendieck-ogg-shafarevich公式、néron-ogg-shafarevich 准则、有限可解群是有理数域上的galois群的证明、关于代数曲面的研究等。1959年获得列宁奖章。苏联（俄罗斯）科学院通讯院士和美国科学院外籍院士。 李福安，1944年1月生，浙江杭州人。1966年7月毕业于复旦大学数学系，1978年考取...(展开全部)

This volume is based on a year's seminar in which Dr. Lacan addressed a larger, less specialized audience than ever before, among whom he could not assume familiarity with his work. For his listeners then, and for his readers now, he wanted to "introduce a certain coherence into the major concepts on which psycho-analysis is based," namely, the unconscious, repetition, the tran...(展开全部)