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  • 陶哲軒實分析(第3版)
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    圖靈數學·統計學叢書

    陶哲軒實分析(第3版)

    陶哲軒(Terence Tao) (作者)
    經典實分析教材//強調邏輯嚴謹和分析基礎
    本書主要介紹了數學分析中的內容,以構造數系和集合論開篇,逐漸深入到級數、函數等高等數學內容,舉例詳實,每部分內容后的習題與正文內容密切相關,有利于讀者掌握所學的內容。本書在附錄部分還介紹了數理邏輯基礎和十進制,突出了嚴格性和基礎性。

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    出版信息

    • 書  名陶哲軒實分析(第3版)
    • 系列書名圖靈數學·統計學叢書
    • 執行編輯關于本書的內容有任何問題,請聯系 傅志紅
    • 出版日期2018-05-22
    • 書  號978-7-115-48025-5
    • 定  價99.00 元
    • 頁  數443
    • 印刷方式單色
    • 開  本小16開
    • 出版狀態上市銷售
    • 原書名Analysis I (Texts and Readings in Mathematics)
    • 原書號9789380250649

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    本書特色

    本書源自華裔天才數學家、菲爾茲獎得主陶哲軒在加州大學洛杉磯分校教授實分析課程的講義,自第1版出版以來一直深受讀者喜愛。原書分為兩卷,中譯本將其合并出版。

    全書從分析的源頭——數系的結構和集合論開始,然后引向分析基礎,再進入冪級數、多元微分學和傅里葉分析,最后介紹勒貝格積分,幾乎完全是以具體的實直線和歐幾里得空間為背景,完美結合了嚴格性和直觀性。另外,課程材料和習題配合無間,便于讀者學習。

    第3版對之前的版本進行了修訂,接受了前兩版讀者的一些修正意見,并增加了部分習題。

    目錄

    版權聲明 閱讀
    獻詞 閱讀
    第1版前言 閱讀
    第2版和第3版前言 閱讀
    第一部分 閱讀
    第 1 章 引言 閱讀
    第 2 章 從頭開始:自然數
    第 3 章 集合論
    第 4 章 整數和有理數
    第 5 章 實數
    第 6 章 序列的極限
    第 7 章 級數
    第 8 章 無限集
    第 9 章 R上的連續函數
    第 10 章 函數的微分
    第 11 章 黎曼積分
    第二部分
    第 12 章 度量空間
    第 13 章 度量空間上的連續
    第 14 章 一致收斂
    第 15 章 冪級數
    第 16 章 傅里葉級數
    第 17 章 多元微分學
    第 18 章 勒貝格測度
    第 19 章 勒貝格積分
    附錄 A 數理邏輯基礎
    附錄 B 十進制

    作者介紹

    陶哲軒 1975年出生,享譽世界的澳籍華裔天才數學家,智商超過220,被譽為“數學界的莫扎特”。12歲獲得國際數學奧林匹克競賽金牌(這項紀錄至今無人打破),2006年獲得數學界的諾貝爾獎——菲爾茲獎,2007年當選英國皇家學會會士。曾與本?格林合作解決了2300年前由歐幾里得提出的與“孿生質數”相關的猜想,在調和分析、偏微分方程、組合數學、解析數論、算術數論等多個重要數學研究領域都取得了卓越成果。陶哲軒15歲時所著的Solving Mathematical Problems是一本數學解題思路科普書,中文版《陶哲軒教你學數學》已經由人民郵電出版社出版。

    李馨 畢業于北京理工大學數學與統計學院,具有多年高等數學、線性代數及概率論授課經驗。
    • 之前已經購買了實體書,能給補個電子版的優惠碼嗎?
      sss6m  發表于 2018-07-20 10:20:24
      推薦
    • 第三版居然增加了翻譯錯誤,第二版里面都沒有。數學翻譯不精確會給讀者帶來巨大的困擾。希望再版時候認證校對。
      Zhang CD  發表于 2018-10-06 14:51:59
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    • 這個月還有希望嗎?
      Salas  發表于 2018-04-14 01:15:54
      推薦
      • 5月底上市,已經在印刷中。

        朱巍  發表于 2018-05-03 16:43:15
    • 電子版還沒出來呀
      青玉  發表于 2018-06-20 12:59:07
      推薦
    • 今年有希望出嗎(好吧,我知道是不可能的)
      prinwis  發表于 2016-11-18 15:55:06
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    • 到底什么時候才能出版?
      1ee  發表于 2017-02-17 18:20:57
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      • 18年

        潘明月  發表于 2017-12-18 08:21:11
    • 陶這個人在數學方面的成就很厲害。
      不二不是二  發表于 2017-06-26 10:15:30
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    • 這是準備出影印版?
      小學徒  發表于 2017-07-16 11:04:00
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      • 翻譯版

        潘明月  發表于 2017-12-18 08:21:25
    • 額,明年應該能出了吧?
      prinwis  發表于 2017-12-16 23:43:21
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      • 預計18年出來

        潘明月  發表于 2017-12-18 08:20:58
    • 會出配套的習題答案嗎?或者輔導資料呢!編者能和陶老師聯系出版一個輔導資料或者答案嗎?
      圖靈盛宴  發表于 2018-05-15 20:01:01
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    • 還是我的老問題:有電子版嗎?!
      競天問  發表于 2018-05-21 16:44:09
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      • 有電子版,估計六一后上市。

        朱巍  發表于 2018-05-28 10:20:53
    • 這本書有英文版的答案沒?第一版或者第二版的答案也行啊~
      ayatherdy  發表于 2018-05-26 19:25:59
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    • 作者曾經就習題答案公開給過回復:There are no solution guides for this text。編輯猜測大神的思路可能是:學會了這本書一定就能自證答案是否正確。
      朱巍  發表于 2018-05-28 10:11:53
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      • 作者意思大概是指自證習題也是學習本書的一部分把

        adewalike  發表于 2018-07-23 14:37:19
    • 電子版啥時候出啊
      abcxyz  發表于 2018-07-17 00:16:55
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    • 孿生質數解決了??
      salamander  發表于 2018-07-24 14:57:00
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