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cppHusky
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#import "utils.typ":page-break
#import "preset.typ":preset-frontmatter
#show:preset-frontmatter
= 序<序>
本书是《积分精选》的重制版本,以CC-0协议发布于#link("https://github.com/cppHusky/IntegralCollection.git")[GitHub]。相比原版,本书在排版效果方面更加优秀,内容呈现方面更加丰富,特别是对讲义篇进行了完全重写,在形式和内容方面都有了质的提升。#parbreak()
本书的主要内容分为两部分。#link(label("题集篇"))[题集篇]和#link(label("讲义篇"))[讲义篇]。#parbreak()
题集篇收集整理了许多笔者在过往遇到过的不定积分问题。笔者按它们的难度、类型、重要程度予以划分,编写答案,并进行了适当的排序,辅以细致的讲解。读者顺着题集篇的顺序学习下去,可以掌握丰富的不定积分解题方法,拓宽思路,提升能力。#parbreak()
对于题集篇的题目,本书使用#text(fill:red)[【红色】]、#text(fill:blue)[【蓝色】]、#text(fill:black)[【黑色】]对其重要程度加以标记。若读者聚焦于常规应试,可优先学习标红色的题目;若追求更多方法,可再学习标蓝色的题目;若希望挑战更多更复杂的问题,可以再学习标黑色的题目;
#parbreak()
讲义篇则是笔者根据自己学习、做题和教授他人的经验,撰写的一部剧本。笔者希望通过这种故事的形式,能让读者更轻松地沉浸到课堂般的氛围当中。#parbreak()
题集篇与讲义篇并无对照关系,也并无顺序可言。实际上,笔者也推荐读者从讲义篇开始学习本书。#parbreak()
另外,笔者还在书中为读者留了一个小挑战。在讲义篇中,两位老师和两位助教将共同负责本学期的《不定积分解题法》课程,为课堂上的数十位学生传道授业,答疑解惑。这些学生的姓名、性别、个人特质是什么?他们有什么特别的过往经历?每个学生的姓名又有什么特殊的含义?这些信息都分散在故事的内容当中,欢迎读者在阅读过程中收集整理。#parbreak()
希望每个读者都可以通过对本书的学习,掌握不定积分的方法,提高自己的解题水平。#parbreak()
#page-break
= 原版序<原版序>
本书为_cppHusky_的二〇二三年年礼。#parbreak()
这是一本以方法为导向,难度来分级的不定积分题集。这里收集了大量我在不定积分学习过程中认为有价值的习题。笔者致力于将其打造为适合各层次不定积分学习者可用的习题集。它适合于大学考研应试学生和对不定积分感兴趣的数学爱好者。#parbreak()
笔者吸收了吉米多维奇习题解集的风格来编撰这本习题集,旨在让考研学生掌握必需的不定积分解题方法,让不定积分爱好者了解更多相关方法,拓宽知识面。#parbreak()
由于这本书采用了难度分级体系,学习者可以选择自己适合的难度来进行训练。#parbreak()
作为习题集,本书还有许多附加的实用功能。笔者会在许多题目之后加入批注和同类题目索引,也会在附录中提供不定积分类型题的讲义。#parbreak()
希望本书的每一个读者都能够借助这本书,使自己的不定积分水平更上一层楼。#parbreak()
#page-break
#outline(depth:3)<outline>
#page-break
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