《上海市初中数学星级训练(压轴题增强版中考)/数学星级题库丛书》采用题型分类难度分阶的形式,将所有试题由浅入深分别编入各节,并提供详尽的解析。所选试题几乎囊括上海市近5年各区一模、二模两题,是上海地区初中学生提高数学应试能力及辅助教师教学的读物。
This book is intended to serve as a textbook for a course in algebraic topology at the beginning graduate level. The main topics covered are the classification of pact 2-manifolds, the fundamental group, covering spaces, singular homology theory, and singular cohomology theory (including cup products and the duality theorems of Poincare and Alexander). It consists of material from the first five chapters of the author's earlier book Algebraic Topology: An Introduction (GTM 56) together with almost all of his book Singular Homology Theory (GTM 70). This material from the two earlier books has been revised, corrected, and brought up to date. There is enough here for a full-year course. The author has tried to give a straightforward treatment of the subject matter, stripped of all unnecessary definitions, terminology, and technical machinery. He has also tried, wherever feasible, to emphasize the geometric motivation behind the various concepts. Several applications of the methods of
本书从一道国际数学奥林匹克候选题谈起,引出毕克定理.全书介绍了毕克定理、毕克定理和黄金比的无理性、格点多边形和数2i+7、闵嗣鹤论格点多边形的面积公式、空间格点三角形的面积、从施瓦兹到毕克到阿尔弗斯及其他、美国中学课本中的有关平面格点的内容。阅读本书可全面地了解毕克定理以及毕克定理在数学中的应用。