快的快乐,慢的幸福(50个快乐的“蛋白质”女孩,改行追求幸福的故事)-so88
快的快乐,慢的幸福(50个快乐的“蛋白质”女孩,改行追求幸福的故事) pdf epub mobi txt 电子书 下载 2022
图书介绍
☆☆☆☆☆
||
王文华 著
店铺: 中南博集天卷官方旗舰店 出版社: 湖南文艺出版社 ISBN:9787540456993 商品编码:1158130122 出版时间:2012-11-01
基本信息
书名:超实讲义
原价:39.00元
作者:(新西兰)哥德布拉特
出版社:世界图书出版公司
出版日期:2011-04-01
ISBN:9787510032981
字数:
页码:289
版次:1
装帧:平装
开本:24开
商品重量:0.400kg
编辑推荐
内容提要
i foundations
1 what are the hyperreals?
1.1 infinitely small and large
1.2 historical background
1.3 what is a real number?
1.4 historical references
2 large sets
2.1 infinitesimals as variable quantities
2.2 largeness
2.3 filters
2.4 examples of filters
2.5 facts about filters
2.6 zorn's lemma
2.7 exercises on filters
3 ultrapower construction of the hyperreals
3.1 the ring of real-valued sequences
3.2 equivalence modulo an ultrafilter
3.3 exercises on almost-everywhereagreement
3.4 a suggestive logical notation
3.5 exercises on statement values
3.6 the ultrapower
3.7 including the reals in the hyperreals
3.8 infinitesimals and unlimited numbers
3.9 enlarging sets
3.10 exercises on enlargement
3.11 extending functions
3.12 exercises on extensions
3.13 partial functions and hypersequences
3.14 enlarging relations
3.15 exercises on enlarged relations
3.16 is the hyperreal system unique?
4 the transfer principle
4.1 transforming statements
4.2 relational structures
4.3 the language of a relational structure
4.4 *-transforms
4.5 the transfer principle
4.6 justifying transfer
4.7 extending transfer
5 hyperreals great and small
5.1 (un)limited, infinitesimal, and appreciablenumbers
5.2 arithmetic of hyperreals
5.3 on the use of 'finite' and 'infinite'
5.4 halos, galaxies, and real parisons
5.5 exercises on halos and galaxies
5.6 shadows
5.7 exercises on infinite closeness
5.8 shadows and pleteness
5.9 exercise on dedekind pleteness
5.10 the hypernaturals
5.11 exercises on hyperintegers and primes
5.12 on the existence of infinitely manyprimes
ii basic analysis
6 convergence of sequences and series
6.1 convergence
6.2 monotone convergence
6.3 limits
6.4 boundedness and divergence
6.5 cauchy sequences
6.6 cluster points
6.7 exercises on limits and cluster points
6.8 limits superior and inferior
6.9 exercises on lim sup and lim inf
6.10 series
6.11 exercises on convergence of series
7 continuous functions
7.1 cauchy's account of continuity
7.2 continuity of the sine function
7.3 limits of functions
7.4 exercises on limits
7.5 the intermediate value theorem
7.6 the extreme value theorem
7.7 uniform continuity
7.8 exercises on uniform continuity
7.9 contraction mappings and fixed points
7.10 a first look at permanence
7.11 exercises on permanence of functions
7.12 sequences of functions
7.13 continuity of a uniform limit
7.14 continuity in the extendedhypersequence
7.15 was cauchy right?
8 differentiation
8.1 the derivative
8.2 increments and differentials
8.3 rules for derivatives
8.4 chain rule
8.5 critical point theorem
8.6 inverse function theorem
8.7 partial derivatives
8.8 exercises on partial derivatives
8.9 taylor series
8.10 incremental approximation by taylor'sformula
8.11 extending the incremental equation
8.12 exercises on increments andderivatives
9 the riemann integral
9.1 riemann sums
9.2 the integral as the shadow of riemannsums
9.3 standard properties of the integral
9.4 differentiating the area function
9.5 exercise on average function values
10 topology of the reals
10.1 interior, closure, and limit points
10.2 open and closed sets
10.3 pactness
10.4 pactness and (uniform) continuity
10.5 topologies on the hyperreals
iii internal and external entities
iv nonstandard frameworks
v applications
index
目录
作者介绍
文摘
序言
快的快乐,慢的幸福(50个快乐的“蛋白质”女孩,改行追求幸福的故事) 电子书 下载 mobi epub pdf txt
电子书下载地址:
相关电子书推荐:
- 文件名
- 铀之战:开启核时代的科学博弈:the scientific rivalry that cr
- 钉螺空间定位技术应用指南 9787568009126
- 奇闻天下
- 名臣家训 9787552805192 天津古籍出版社
- 大自然的启示-马小跳发现之旅 马小跳和他的小伙伴要去探索在大自然的启示下,人类的发明和发
- 爸爸与小孩2 9787807680345 生活.读书.新知三联书店
- {RT}贝壳博物馆-[美] M·G·哈拉塞维奇,[美] 法比奥·莫尔 北京大学出版社 97
- RTDK 用于恶劣环境的碳化硅微机电系统 9787030268624 科学出版社
- 科学系列99丛书 电子大脑:计算机和机器人99
- 启发比打骂更有效:启发式教养孩子的60个关键 育儿/家教 书籍
- 世界科普巨匠经典译丛:十个为什么
- 电子技术及技能训练(第2版)
- 鸟类虫鱼
- 中小学生发明创造与知识产权(简编版)
- 100则故事启示录:科学大发现