本书为《新加坡数学建模 3》,包含《知识点突破》《应用题专项》两册,从认识 基础的“部分-整体模型”到“比较模型”,再到“单位模型”“之前-之后模型”等等,孩子在画图建模的练习中,可以 深入地理解数学关系和运算原理,建立系统性数学思维,培养真正的数学能力。 《知识点突破》从小学数学基础知识点出发,用CPA教学法,循序渐进,有效帮助孩子巩固和加强所学知识,突破重难点,并设置各种解决问题题型和挑战题题型,帮助孩子学会用不同思路解决问题。 《应用题专项》用画图解题的方法,解决实际问题。先从知识点讲解和例题部分切入,掌握概念和数学思维方法,再趁热打铁进行练习巩固。题型有基础题和挑战题,鼓励孩子在难度递增、题型多变的练习中,一步步“闯关”,增添学习的乐趣。
numbers measure size, groups measure symmetry. the firststatement es as no surprise; after all, that is what numbers arefor. the second will be exploited here in an attempt to introducethe vocabulary and some of the highlights of elementary grouptheory. a word about content and style seems appropriate. in this volume,the emphasis is on examples throughout, with a weighting towardsthe symmetry groups of solids and patterns. almost all the topicshave been chosen so as to show groups in their most natural role,acting on (or permuting) the members ora set, whether it be thediagonals of a cube, the edges of a tree, or even some collectionof subgroups of the given group. the material is divided intotwenty-eight short chapters, each of which introduces a new resultor idea.a glance at the contents will show that most of themainstays of a first course arc here. the theorems of lagrange,cauchy, and sylow all have a chapter to themselves, as do theclassifcation of finitely generated abelian groups, the enumeratio