书名：Number Theory数论作者：George E. Andrews  

出版社名称：Dover Publications Inc. 

出版时间：2000

语种：英语 

ISBN：9780486682525 

商品尺寸：14.0 x 1.9 x 22.2 cm

包装：平装

页数：259（以实物为准）

尽管数学专业的学生通常在完成抽象代数课程之前就已经熟悉数论，但其他本科生，尤其是教育和文科专业的本科生，通常需要对该主题进行更基本的介绍。

在这本书中，作者通过提供基本数论的组合方法解决了在两个层次上保持学生兴趣的问题。从这样的角度研究数论时，数学专业的学生可以避免重复学习并提供新的见解，而其他学生则可以从许多定理证明的简单性中受益。

可访问的，经过精心设计的导言涵盖的主题包括乘法除数，包括算术的基本定理，组合和计算数论，同余，算术函数，原始根和素数。后面的章节提供了对二次同余，可加性（包括分区理论）和几何数论的清晰处理。

在本文中，尤为重要的是作者强调了数值示例在数论中的价值以及计算机在获取此类示例中的作用。练习为使用或不使用计算机构造数字表提供了机会。学生可以从这些数值表，之后，相关的定理会显得自然和良好的动机，然后派生的猜测..

Although mathematics majors are usually conversant with number theory by the time they have completed a course in abstract algebra, other undergraduates, especially those in education and the liberal arts, often need a more basic introduction to the topic.

In this book the author solves the problem of maintaining the interest of students at both levels by offering a combinatorial approach to elementary number theory. In studying number theory from such a perspective, mathematics majors are spared repetition and provided with new insights, while other students benefit from the consequent simplicity of the proofs for many theorems.

Among the topics covered in this accessible, carefully designed introduction are multiplicativity-divisibility, including the fundamental theorem of arithmetic, combinatorial and computational number theory, congruences, arithmetic functions, primitive roots and prime numbers. Later chapters offer lucid treatments of quadratic congruences, additivity (including partition theory) and geometric number theory.

Of particular importance in this text is the author's emphasis on the value of numerical examples in number theory and the role of computers in obtaining such examples. Exercises provide opportunities for constructing numerical tables with or without a computer. Students can then derive conjectures from such numerical tables, after which relevant theorems will seem natural and well-motivated..