Street-Fighting Mathematics: The Art of Educated Guessing and Opportunistic Problem Solving
暫譯: 街頭數學：有根據猜測與機會式解題的藝術
Mahajan, Sanjoy, Mead, Carver A.
- 出版商: MIT
- 出版日期: 2010-03-31
- 售價: $1,470
- 貴賓價: 9.5 折 $1,396
- 語言: 英文
- 頁數: 152
- 裝訂: Quality Paper - also called trade paper
- ISBN: 026251429X
- ISBN-13: 9780262514293
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相關分類:
工程數學 Engineering-mathematics
海外代購書籍(需單獨結帳)
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商品描述
An antidote to mathematical rigor mortis, teaching how to guess answers without needing a proof or an exact calculation.
In problem solving, as in street fighting, rules are for fools: do whatever works--don't just stand there Yet we often fear an unjustified leap even though it may land us on a correct result. Traditional mathematics teaching is largely about solving exactly stated problems exactly, yet life often hands us partly defined problems needing only moderately accurate solutions. This engaging book is an antidote to the rigor mortis brought on by too much mathematical rigor, teaching us how to guess answers without needing a proof or an exact calculation.
In Street-Fighting Mathematics, Sanjoy Mahajan builds, sharpens, and demonstrates tools for educated guessing and down-and-dirty, opportunistic problem solving across diverse fields of knowledge--from mathematics to management. Mahajan describes six tools: dimensional analysis, easy cases, lumping, picture proofs, successive approximation, and reasoning by analogy. Illustrating each tool with numerous examples, he carefully separates the tool--the general principle--from the particular application so that the reader can most easily grasp the tool itself to use on problems of particular interest. Street-Fighting Mathematics grew out of a short course taught by the author at MIT for students ranging from first-year undergraduates to graduate students ready for careers in physics, mathematics, management, electrical engineering, computer science, and biology. They benefited from an approach that avoided rigor and taught them how to use mathematics to solve real problems.
Street-Fighting Mathematics will appear in print and online under a Creative Commons Noncommercial Share Alike license.
商品描述(中文翻譯)
數學嚴謹造成的僵化狀態的解藥，教你不必證明或精確計算，也能猜出答案。
解決問題時，就像街頭格鬥一樣，規則是給傻瓜遵守的：只要有效，什麼方法都可以——別只是站在那裡。然而，我們常常害怕做出缺乏論證的跳躍，即使這樣的跳躍可能會讓我們得到正確的結果。傳統數學教育大多著重於精確地解決表述明確的問題；但在現實生活中，我們經常遇到定義不完整的問題，而這些問題只需要相當準確的解答。本書引人入勝，是過度數學嚴謹所造成僵化狀態的解藥，教導我們不必證明或精確計算，也能猜出答案。
在《街頭格鬥數學》中，Sanjoy Mahajan 建立、磨練並示範了各種善於推測，以及以務實、靈活且因勢利導的方式解決問題的工具，涵蓋從數學到管理學等多元知識領域。Mahajan 介紹了六種工具：量綱分析、簡單情況、歸併、圖像證明、逐次逼近，以及類比推理。他以大量範例說明每一種工具，並仔細區分工具本身——也就是一般原則——與其個別應用，讓讀者能最容易掌握工具本身，並將其運用於自己感興趣的問題。《街頭格鬥數學》源自作者在 MIT 開設的一門短期課程，修課學生從大學一年級生到即將投入物理學、數學、管理學、電機工程、電腦科學與生物學職涯的研究生都有。他們從一種避開嚴謹形式、教導如何運用數學解決實際問題的方法中獲益良多。
《街頭格鬥數學》將以 Creative Commons 姓名標示-非商業性-相同方式分享授權條款，推出紙本與線上版本。
作者簡介
Sanjoy Mahajan is Associate Professor of Applied Science and Engineering at Olin College of Engineering and Visiting Associate Professor of Electrical Engineering and Computer Science at MIT. He was a Marshall Scholar at Oxford University and a Fellow of Corpus Christi College in the University of Cambridge, where he was a member of the physics faculty. He is the author of Street-Fighting Mathematics: The Art of Educated Guessing and Opportunistic Problem Solving (MIT Press).
Carver A. Mead is the Gordon and Betty Moore Professor of Engineering and Applied Science, Emeritus, at the California Institute of Technology. He won the 1999 Lemelson-MIT Prize for Invention and Innovation.
作者簡介(中文翻譯)
Sanjoy Mahajan 是 Olin College of Engineering 的應用科學與工程學副教授，也是 MIT 電機工程與電腦科學系的客座副教授。他曾獲選為 Oxford University 的 Marshall Scholar，並擔任 University of Cambridge Corpus Christi College 的 Fellow；在 Cambridge 期間，他是物理學系的教職人員。他著有《Street-Fighting Mathematics: The Art of Educated Guessing and Opportunistic Problem Solving》（MIT Press）。
Carver A. Mead 是 California Institute of Technology 榮譽工程與應用科學 Gordon and Betty Moore 講座教授。他曾獲頒 1999 年 Lemelson-MIT Prize for Invention and Innovation。
