本书是与西安交通大学编写的《复变函数》(第四版)相配套的学习辅导书按原教材各章的顺序，每章包括重点及知识点辅导与精析、难点盈典型例题辅导与精析、考点及考研真题辅导与精析，课后习题解答口部分本书重在通过对内容和方法进行归纳总结，把基本理论、基本方法融于典型范例中，注重分析解题思路，揭示解题规律，解决学习困难，引导读者思考，培养学习兴趣 本书既可作为非数学类专业理丁科本科生学习复变函数课程的参考书，也可作为从事复变函数教学工作者的教学参考书
本书以真解析函数为主线安排了复数与扩充复平面、复变函数与解析函数、复变函数沿有向曲线的积分、级数、奇点与留数、共形映射共6章内容，从微分、积分、级数、在一点处、在一个收敛点列、在一个区域中、共形映射等10个不同的层面来逐步深入地展开对解析函数的讨论，并利用解析函数的留数定理来计算一元实变函数的积分。
本书主要研究满足开集条件的自相似集的结构，从Hausdorff测度和上凸密度的计算与估计到其内部结构的理论研究，都作了比较全面的阐述．全书共分四章。章介绍基本定义、符号和基本命题；第2章讨论自相似集；第3章讨论上凸密度；第4章讨论自相似集的结构及相关问题．两个附录分别介绍了集合论、点集拓扑和测度论的基础知识。 本书可作为高等院校分形几何方向研究生、教师的教学用书，也可供相关方向科研人员和工程技术人员阅读参考。
This book is an abridged version of our two-volume opus Convex Analysis and Minimization Algorithms [18], about which we have received very positive feedback from users, readers, lecturers ever since it was published-by Springer-Verlag in 1993. Its pedagogical qualities were particularly appreciated, in the bination with a rather advanced technical material.
The book is a continuation of development of" Boundary value problems for nonlinear elliptic equations and systems" and "Linear and quasilinear equations of hyperbolic and mixed types ".A large portion of the work is devoted to boundary value problems for general elliptic plex equations of first,second and fourth order,initial-boundary value problems for nonlinear parabolic plex equations of first and second order.Moreover,some results about first and second order plex equations of mixed (elliptic-hyperbolic) type are investigated .Applications of nonlinear plex analysis to continuum mechanics are also introduced.
This book is an abridged version of our two-volume opus Convex Analysis and Minimization Algorithms [18], about which we have received very positive feedback from users, readers, lecturers ever since it was published-by Springer-Verlag in 1993. Its pedagogical qualities were particularly appreciated, in the bination with a rather advanced technical material.
泛欧几何是屏幕几通过纵横像素段显示直线和曲线，一段数点，自然快捷。 泛欧几何是键盘几何，通过数码串输入图形和汉字，一图一串，一字一码，准确简捷。 在泛欧几何中，直线为n,n 1交错数列，曲线为分段交错数列，图（graphs）为交错路段，这些非极限和矩阵基础上的整数表达式，为普及计算机图形开拓了新路子（中国版的Logo）。 直线、曲线的八卦定理和中文八族周所揭示的拓扑相似性，引发了几何语言化和语言几何化的探索，为汉字本体（ontology)与中文语义网的发展拓宽了理论基础。 “几何是数学思考的核心。它是一个富于直观的领域，而且（可以说）新发现是非专家的能力范围之内。”（《计算机几何导论》，科学出版社，1992） 通过图文泛模的发现和编码，泛欧几何展示了数学语言与自然语言相互融合、与时俱进的新途径，本书立论
本书以各行业应用的实例为主，函数语法剖析为辅，对数学与三角函数、逻辑函数、文本函数、统计函数、日期和时间函数、查找与引用函数、信息函数、财务函数以及宏表函数等类别的函数进行了实例演示。全书案例涉及常用函数136个，跨财务、人事、业务、销售、仓储、教育、生产等多个行业/部门的案例技巧。 本书在案例演示时，根据每个函数的功能及实用性进行了1～30个不等的案例演示，从函数的基本用法到高端运用一一进行演示、剖析。特别是函数的数组运用进行了较多的案例演示及讲解，力求让读者通过本书掌握数组运用技巧及多函数嵌套的技巧。 书中包括所有常用函数的688个案例，涉及多个不同行业。本书可以作为常用函数查询宝典，在工作中遇到类似疑难时可以按功能或函数名查询案例，借鉴本书的解题思路。 购买本书可以获赠光盘一张
The book is a continuation of development of" Boundary value problems for nonlinear elliptic equations and systems" and "Linear and quasilinear equations of hyperbolic and mixed types ".A large portion of the work is devoted to boundary value problems for general elliptic complex equations of first,second and fourth order,initial-boundary value problems for nonlinear parabolic complex equations of first and second order.Moreover,some results about first and second order complex equations of mixed (elliptic-hyperbolic) type are investigated .Applications of nonlinear complex analysis to continuum mechanics are also introduced.
