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calculus metric version 9e解答pdf 在 Re: [問題] 念原文書的必要性?(微積分) - 看板Transfer 的推薦與評價
※ 引述《metro123 (wulala)》之銘言：
: 想問一下 單就考試取向 以微積分這科來說
: Stewart、Larson 這類的原文書 需要鉅細靡遺的啃完嗎?
: 或是所謂的精讀?(只看重點公式 數學推導 + 做章節習題)
: 因為逐字逐句的念 似乎頗耗時間(尤其對英文不太好的人來說)
: 跳太大 又怕漏掉什麼重要訊息
個人覺得是要挑章節精讀，
難道你連前面介紹極限的都要一一詳看？
非數學本科系不需要把那些證明熟稔…
當然有些必要的還是要去了解，
比如 Rolle's Theorem, The Mean-Value Theorem…
The Fundamental Theorem of Calculus I, II
至少這種上述定理的證明是要會的,
還有比如可微分必連續, 固定點定理, 也是稍微要看一下.
如果只是把課本當成公式手冊，那乾脆別買啦！
我由衷地建議多變函數之後尤其向量微積分章節，
務必看一下原文書，不然觀念不太容易建立起來。
: 或是買中譯本來看 但很多學校都以原文出題 不知道會不會有閱讀障礙(以微積分來說)
: 或是....不必看完文書
: 聽線上課程(or補習) + 搭配幾本考用書(王博 鄭立之類..) 準備起來比較有效率???
: 原文書感覺是所有證明 推導 架構都循序漸進 建立的清清楚楚
: 聽過一些教授的線上課程 感覺是將原文書的精華重點直接幫你點出
: 觀念也講的很清楚 自己不必在花時間去書中摸索 這樣是否能省下啃整本原文書的時間?
數學本身就是一種語言，不論你是用日語、中文、英語去詮釋，
為人所認定的定理就是同一個。
我覺得「學習」上並不需要特別強求是哪種語言，
能學到他的內涵才是最重要的。
當然如果你能在大一養成閱讀原文書的習慣，
對於往後的發展會比較有幫助。
（越後面的專業科目，由於市場不大，
代理商找教授編纂中譯本的意願也比較低，
到時候還是得看。
甚至研究所後必須閱讀大量的Paper，
基本上都是英文寫的。）
個人認為觀念的取得不必在乎是哪種語言，
但是由於考試的緣故，請選擇一個自己認為效率高的，
務必切記練習題目時以英文題目為主。
: 另外想問一下 STEWART的書大家比較普遍用的是哪一個版本??(查到了好幾種)
: CALCULUS (METRIC INTERNATIONAL VERSION 公製版) 7/E
: https://ppt.cc/8k6P
: CALCULUS EARLY TRANSCENDENTALS 7/E 2012(METRIC VERSION)
: https://ppt.cc/~uOt
: PRECALCULUS : MATHEMATICS FOR CALCULUS 6/E 2012
: https://ppt.cc/wHUX
: 先感謝解答了~
是第一或是第二個版本。（通常是ET本為常見）
兩者差別只在於超越函數（Transcendental）的講述，
Early Transcendental會將超越函數在前頭先介紹，
最主要的就是自然指數和對數的定義方式。
x 1
前者定義 ln(x) = ∫ --- dt, for x > 0
1 t
then ln(e) = 1, so e is defined.
1 n
後者定義 e = lim ( 1 + --- )
n->∞ n
then ln(x) = log (x)
e
有些人認為後者比較直觀具體一點，
再加上先介紹了自然指數之後，
就可以在前面的章節就先引入自然指數ｅ在題目中，
所以多半教授選用時會傾向於後者。
但也有人認為照著脈絡用前者比較好。
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