全书共分6章,包括三角形五心的概念和性质,三角形五心的坐标表示、向量形式及应用,三角形五心间的距离,圆内接四边形中三角形的五心性质及应用,三角形五心性质的综合应用等内容,每章节后配有习题,书后附有习题参考答案。本书适合于初、高中学生,初、高中数学竞赛选手及教练员使用,也可作为高等师范院校、教育学院、教师进修学院数学专业开设的“竞赛数学”课座教材及、省级骨干教师培训班参考使用。
Credlts for Figures and Color Plates Much has changed in the world of fractals, computer graphics and modem mathematics since the first edition of Fractals Everywhere appeared. The company Iterated Systems, Inc., founded by Michael Barnsley and Alan Sloan, is now competing in the image compression field with both hardware and software products that use fractal geometry to compress images. Indeed, there is now a plethora of texts on subjects like fractals and chaos, and these terms are rapidly becoming "household words.
《国外数学名著系列(续1)57:几何3(曲面理论)》由俄罗斯作家阿诺德编写。The theory of surfaces in Euclidean spaces is remarkably rich in deep results and applications.This volume of the Encyclopaedia is concerned mainly with the connection between the theory of embedded surfaces and Riemannian geometry and with the geometry of surfaces as influenced by intrinsic metrics.
本书分为十八章,详细介绍了逼近论中的Weierstrass定理的相关基础理论,同时还介绍了Weierstrass定理的证明及实数域与复数域上的逼近问题。
丢番图问题主要从代数几何进行考虑。书中涵盖了一些研究该课题的基础方法,如高度理论, Néron函数及其在一些经典定理中的应用,如Mordell-Weil 定理、关于积分点的西格尔定理、希尔伯特的不可约定理、Roth定理及其他。该书取代了 Diophantine Geometry,涵盖了许多重要的新资料,如Néron函数理论及Tate和 Silverman的研究结果。目次:值;值的恰当集
To the Teacher. This book is designed to introduce a student to some of the important ideas of algebraic topology by emphasizing the relations of these ideas with other areas of mathematics. Rather than choosing one point of view of modem topology (homotopy theory,simplicial complexes, singular theory, axiomatic homology, differential topology, etc.), we concentrate our attention on concrete problems in low dimensions, introducing only as much algebraic machinery as necessary for the problems we meet. This makes it possible to see a.wider variety of important features of the subject than is usual in a beginning text. The book is designed for students of mathematics or science who are not aiming to become practicing algebraic topologists--without, we hope, discouraging budding topologists. We also feel that this approach is in better harmony with the historical development of the subject.
本书是作者根据多年的微分几何课程的教学经验,并参考国内外的微分几何著作,为本科生编写的微分几何.该已被列为安徽省省级规划.本书主要讲述经典微分几何的曲线论和曲面论,全书共7章,内容包括:预备知识、标架场、空间曲线的Euclid几何、曲面上的微积分、形状算子、 QUOTE
本书是环境类专业的,系统介绍了环境科学与工程的原理与方法。本书内容包括:化学原理,物质与能量平衡,生态系统,风险认知、评估与管理,水力学,地质与土壤资源,水质管理,水和废水处理,空气污染,固体废物工程,危险废物管理,农业与环境,噪声污染,电离辐射。本书配有大量例题,各章后有复习重点、习题、问题讨论、补充阅读材料、参考文献等。 本书具有以下特点:
如果使用题中所给的对称条件,许多初等数学问题解起来都很简单。