本书致力于中考数学命题的研究，旨在帮助学生在中考中获得高分和满分，同时也供其他教学人员学习和参考之用.本书内含各种类型数学中考压轴题，内容全面实用.总结常用几何辅助线与常见几何模型，帮助考生在考试中快速找到解题的突破口；归纳各种函数压轴题题型，帮助考生了解命题的意图，顺利扫清思维障碍，获得满意答案.本书还总结了各种实用的解题技巧，简单高效.部分题目一题多解，拓展学生的思维.
The guiding principle in thiook is to use differential forms as an aid in exploring some of the less digestible aspects of algebraic topology. Accordingly, we move primarily in the realm of smooth manifolds and use the de Rham theory as a prototype of all of cohomology. For applications to homotopy theory we also discusy way of analogy cohomology with arbitrary coefficients. Although we have in mind an audience with prior exposure to algebraic or differential topology, for the most part a good knowledge of linear algebra, advanced calculus, and point-set topology should suffice. Some acquaintance with manifolds, simplicial plexes, singular homology and cohomology, and homotopy groups is helpful, but not really necessary. Within the text itself we have stated with care the more advanced results that are needed, so that a mathematically mature reader who accepts these background materials on faith should be able to read the entire book with the minimal prerequisites.
This textbook aims at introducing the reader to number theory
