快的快樂，慢的幸福（50個快樂的“蛋白質”女孩，改行追求幸福的故事） 下載 mobi epub pdf 電子書 2024

基本信息

書名：超實講義

原價：39.00元

作者：(新西蘭)哥德布拉特

齣版社：世界圖書齣版公司

齣版日期：2011-04-01

ISBN：9787510032981

字數：

頁碼：289

版次：1

裝幀：平裝

開本：24開

商品重量：0.400kg

編輯推薦

內容提要

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1.4 historical references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

目錄

作者介紹

文摘

序言

書是好書，價格也便宜，就是運費貴，稍慢一點！

還不錯吧？？送貨挺快的

很便宜也就一瓶飲料的價格

內容比較簡單，不夠深入

民大會堂華燈璀璨，氣氛喜慶。二樓眺颱懸掛著醒目的橫幅：“緊密團結在以同誌為總書記的黨中央周圍，銳意進取、開拓創新，全麵推 進黨的建設新的偉大工程，為實現‘兩個一百年’奮鬥目標、實現中華民族偉大復興的中國夢而努力奮鬥！”

這本書很好，我很喜歡。

這本書很好，我很喜歡。

書顯得舊書顯得舊

民大會堂華燈璀璨，氣氛喜慶。二樓眺颱懸掛著醒目的橫幅：“緊密團結在以同誌為總書記的黨中央周圍，銳意進取、開拓創新，全麵推 進黨的建設新的偉大工程，為實現‘兩個一百年’奮鬥目標、實現中華民族偉大復興的中國夢而努力奮鬥！”