April 2014
Beginner to intermediate
830 pages
15h 21m
Chinese
Content preview from Mathematica 錦囊妙計
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.
第十一章
連續與離散微積分
Time may change me
But I can’t trace time
I said that time may change me
But I can’t trace time
David Bowie, “Changes”
11.0 導論
本 章著 重 範 圍主 要 涵 蓋 大學 數 學 課 程 常 遇 到 的問 題， 你 可以 將 Mathematica 當 作 一
個計 算 機（求 解的 工 具） 或 老師（ 深入 了 解數 學 問題 的 工具 ）， 然而 這 並非 意 味著
Mathematica 只侷限於基本的微積分運算。相反地，Mathematica 在電腦代數運算領域擔
任先驅的角色，當 Mathematica 發表新版的同時，即代表它在符號運算領域的寬度與廣
度都更上一層樓。由於篇幅的限制，本章大部分的訣竅，目標在帶領初學者入門，因此
將不深入探討，而對熟練的使用者而言，也許就不易習得太多新技巧。不過，我相信單
就 Mathematica 深度而言，本章每個訣竅都足以寫另一本書深入探討。[Page-425]
本章大多數訣竅都牽涉到連續或離散函數微積分，其中包含極限（訣竅 11.1）、冪級數
展開（訣竅 11.3）、微分（訣竅 11.4）、積分（訣竅 11.5）及微分方程（訣竅 11.6）。微
積分最常見的應用在求函數極值，Mathematica 提供
Minimize
、
Maximize
及相關指令進
行運算（訣竅 11.7）。當你試圖解決工程學或物理學實務問
Become an O’Reilly member and get unlimited access to this title plus top books and audiobooks from O’Reilly and nearly 200 top publishers, thousands of courses curated by job role, 150+ live events each month,
and much more.
Read now
Unlock full access
More than 5,000 organizations count on O’Reilly
O’Reilly covers everything we've got, with content to help us build a world-class technology community, upgrade the capabilities and competencies of our teams, and improve overall team performance as well as their engagement.Julian F.
I wanted to learn C and C++, but it didn't click for me until I picked up an O'Reilly book. When I went on the O’Reilly platform, I was astonished to find all the books there, plus live events and sandboxes so you could play around with the technology.Addison B.
I’ve been on the O’Reilly platform for more than eight years. I use a couple of learning platforms, but I'm on O'Reilly more than anybody else. When you're there, you start learning. I'm never disappointed.Amir M.
I'm always learning. So when I got on to O'Reilly, I was like a kid in a candy store. There are playlists. There are answers. There's on-demand training. It's worth its weight in gold, in terms of what it allows me to do.