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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)

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) 下载 mobi epub pdf



王文华 著

    

发表于2020-04-09

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图书介绍

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


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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

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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1.4 historical references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


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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) 下载 mobi epub pdf txt 格式

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) mobi 下载 pdf 下载 pub 下载 txt 下载

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) 下载 mobi pdf epub txt 格式

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) 下载 mobi epub pdf

用户评价

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内容比较简单,不够深入

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书显得旧书显得旧

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竟然没给我开发票啊啊啊啊

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小文章小故事每天无事可读读~

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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) mobi epub pdf txt 格式下载



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