This book is intended as a textbook for a first course in the theory offunctions of one plex variable for students who are mathematicallymature enough to understand and execute arguments. The actual pre-requisites for reading this book are quite minimal; not much more than astiff course in basic calculus and a few facts about partial derivatives. Thetopics from advanced calculus that are used (e.g., Leibniz's rule for differ-entiating under the integral sign) are proved in detail.

This is a pletely revised edition, with more thafifty pages of new material scattered throughout. Ikeeping with the conventional meaning of chapters and sections, I have reorgaruzed the book into twenty-nine sections isevechapters. The maiadditions are Sectio20 0the Lie derivative and interior multiplication, two intrinsic operations oa manifold too important to leave out, new criteria iSectio21 for the boundary orientation, and a new appendix oquaternions and the symplectic group. Apart from correcting errors and misprints, I have thought through every proof again, clarified many passages, and added new examples, exercises, hints, and solutions. Ithe process, every sectiohas beerewritten, sometimes quite drastically. The revisions are so extensive that it is not possible to enumerate them all here. Each chapter now es with aintroductory essay giving aoverview of what is to e. To provide a timeline for the development ofideas, I have indicated whenever possi- ble the historical origiof the conce

本书根据三年级学生数学能力发展的阶段性特点，有针对性地分年级设计特色内容，通过趣味性、游戏化、情境式的呈现方式，使学生 有兴趣地进行数学学习，培养学生解决实际问题的能力。

《数学思维训练大通关.3年级 上册》由作业帮主编

本书是孙海燕等编著的工科研究生教材《数理统计》的配套辅导书,按照教材的章节顺序进行 编排,与教材所配习题基本一致。本书对教材每章的课后习题给出了详细解答,对部分习题 给出了多种解答,并使用R语言或SAS统计软件对有数据的实际应用习题进行解答。通过本书 的学习,可使读者提高分析问题、解决问题和应用统计软件的能力,加深对数理统计的基本概念、 理论和方法的理解和掌握。 本书可作为高等院校工科研究生公共课程“数理统计”学习的参考书,也可作为本科生学习数 理统计理论和方法的参考书,还可供科技工作者参考。