数论导引
An introduction to the theory of numbers
Ivan Morton Niven、H. S. Zuckerman、Hugh L. Montgomery · 初版 1960 年
6人推荐
10位读者提及
11次提及
为什么值得读
- 内容讲解清晰明确且广受学习者欢迎
- 全面系统地覆盖了数论学科的核心基础知识
- 适合作为自学与进阶高等数学的入门阶梯
出版商说明（未经编辑的出版商数据）此为数论标准著作之一的第五版，由国际公认的数学家撰写。各章节相对独立，灵活性更高。新特色包括对二项式定理的扩展讲解、数值计算技术，以及关于 public key cryptography（公钥密码学）的章节。书中包含一组极佳的习题。
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《An Introduction to the Theory of Numbers》（Niven、Zuckerman 和 Montgomery 著） 《Graph theory with applications》（JA Bondy 和 USR Murty 著，网上有公开资源）
An Introduction to the Theory of Numbers (Niven, Zuckerman and Montgomery) Graph theory with applications (JA Bondy and USR Murty, available online)
…数学类 - 朗（Lang） - 单变量微积分：《A First Course in Calculus》 - 朗 - 多变量微积分：《Calculus of Several Variables》 - 朗 - 线性代数：《Linear Algebra》 - 朗 - 数论：《An Introduction to the Theory of Numbers》 - Niven、Zuckerman、Montgomery 进阶内容 - 代数：《Algebra》 - Artin 著，或《Algebra, Chapter 0》 - Aluffi 著 - 复分析：《Functions of One Complex Variable I》 - Conway 著 - 概率论基础：…
…Mathematics - Lang - One variable Calculus: A First Course in Calculus - Lang - Multi variable Calculus: Calculus of Several Variables - Lang - Linear Algebra: Linear Algebra - Lang - Number theory: An Introduction to the Theory of Numbers - Niven, Zuckerman, Montgomery Some more advanced stuff - Algebra: Algebra - Artin or Algebra, Chapter 0 - Aluffi - Complex Analysis: Functions of One Complex Variable I - Conway - Probability Basics:…
如果你指的是哈代（Hardy）和赖特（Wright）合著的《Introduction to the Theory of Numbers》，我也觉得它极为出色，但要做 Project Euler 上的绝大多数题目，其实完全不需要钻到那么深的程度。我个人特别喜欢 Daniel Shanks 的《Solved and Unsolved Problems in Number…
If you mean Hardy and Wright's Introduction to the Theory of Numbers, I agree it is excellent, but you can solve the great majority of the project Euler problems without going to quite that level. I particularly enjoyed Daniel Shank's Solved and Unsolved Problems in Number…
…那些现在就能直接用来啃的教材。写得明白通透、流传很广、而且能把相应主题讲透的书。例如：《Visual Complex Analysis》、《Spivak’s Calculus》、《Linear Algebra Done Right》（线性代数应该这样学）、哈代的《An Introduction to the Theory of Numbers》。
…ones that can be used for studying now. Books that are clearly written, popular, cover their subject well. Examples: Visual Complex Analysis, Spivak’s Calculus, Linear Algebra Done Right, Hardy’s An Introduction to the Theory of Numbers.
…教材风格）：达文波特（Davenport） - 《The Higher Arithmetic》 伯基尔（Burkill） - 《A First Course in Mathematical Analysis》（以及 Burkill 和 Burkill 合著的《A Second Course in Mathematical Analysis》） 哈代与赖特 - 《An introduction to the theory of numbers》
…style of textbook): Davenport - The Higher Arithmetic Burkill - A First Course in Mathematical Analysis (and also A Second Course in Mathematical Analysis by Burkill and Burkill) Hardy and Wright - An introduction to the theory of numbers
确实——哈代和赖特的《An introduction to the theory of numbers》棒极了，但绝对没必要仅局限于研究生读，本科阶段的数论课程用它也完全没问题（事实上它就是我读本科时的推荐教材）。它相当…
Absolutely - Hardy and Wright's An introduction to the theory of numbers is excellent but definitely doesn't need to be restricted to postgrads - its also fine for undergraduate level number theory (indeed it was a recommended textbook when I was an undergrad). It is quite…