纯数学教程(纪念版)(英文版)
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作者(英)G.H.哈代
出版社世界图书出版公司
ISBN9787519253622
出版时间2019-09
装帧平装
开本其他
定价99元
货号30781263
上书时间2023-09-02
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目录
CHAPTER Ⅰ REAL VARIABLES
1-2.Rational numbers
3-7.Irrational numbers
8.Real numbers
9.Relations of magnitude between real numbers
10-11.Algebraical operations with real numbers
12.The number√2
13-14.Quadratic surds
15.The continuum
16.The continuous real variable
17.Sections of the real numbers. Dedekind's theorem
18.Points of accumulation
19.Weierstrass's theorem
Miscellaneous examples
CHAPTER Ⅱ FUNCTIONS OF REAL VARIABLES
20.The idea of a function
21.The graphical representation of functions. Coordinates
22.Polar coordinates
23.Polynomia s
24-25.Rational functions
26-27.Algebraical functions
28-29.Transcendental functions
30.Graphical solution of equations
31.Functions of two variables and their graphical representation
32.Curves in a plane
33.Loci in space
Miscellaneous examples
CHAPTER Ⅲ COMPLEX NUMBER
34-38.Displacements
39-42.Complex numbers
43.The quadratic equation with real coefficients
44.Argand's diagram
45.De Moivre's theorem
46.Rational functions of a complex variable
47-49.Roots of complex numbers
Miscellaneous examples
CHAPTER Ⅳ LIMITS OF FUNCTIONS OF A POSITIVE INTEGRAL VARIABLE
50.Functions of a positive integral variable
51.Interpolation
52.Finite and infinite classes
53-57.Properties possessed by a function of n for large values of n
58-61.Definition of a limit and other definitions
62.Oscillating functions
63-68.General theorems concerning limits
69-70.Steadily increasing or decreasing functions
71.Alternative proof of Weierstrass's theorem
72.The limit of xn
73.The limit of (1+1/n) n
74.Some algebraical lemmas
75.The limit of n □
内容摘要
《纯数学教程（纪念版）》是“剑桥数学图书馆”系列丛书之一。这部部世纪经典著作，以简洁易懂
的数学语言，全面系统地介绍了基础数学的各个方面，并对许多经典的数学论证给出了严谨的证明。本书共分10章，在介绍了实数、复数的概念后，从第4章和第5章引入了极限的概念，较之一般书的处理方法更为轻松自然、易于接受。另外，书中每章后面配有大量有代表性的杂例，供读者参考练习以巩固所学知识。
本书适合高校数学系及对相关专业学生和教师学习和参考。
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