Home > General > Das kleine Einmaleins des klaren Denkens: 22 Denkwerkzeuge fur ein besseres Leben
Das kleine Einmaleins des klaren Denkens: 22 Denkwerkzeuge fur ein besseres Leben

Das kleine Einmaleins des klaren Denkens: 22 Denkwerkzeuge fur ein besseres Leben

          
5
4
3
2
1

International Edition


Premium quality
Premium quality
Bookswagon upholds the quality by delivering untarnished books. Quality, services and satisfaction are everything for us!
Easy Return
Easy return
Not satisfied with this product! Keep it in original condition and packaging to avail easy return policy.
Certified product
Certified product
First impression is the last impression! Address the book’s certification page, ISBN, publisher’s name, copyright page and print quality.
Secure Checkout
Secure checkout
Security at its finest! Login, browse, purchase and pay, every step is safe and secured.
Money back guarantee
Money-back guarantee:
It’s all about customers! For any kind of bad experience with the product, get your actual amount back after returning the product.
On time delivery
On-time delivery
At your doorstep on time! Get this book delivered without any delay.
Quantity:
Add to Wishlist

About the Book

數學是最迷人的思考活動,將手邊有限的訊息加以消化、理解、進一步掌握,找出問題並尋求解答。本書將介紹22個容易理解、但極為有效的思考工具,讀者們只需具備基礎數學知識跟一顆嘗試冒險的心,即可徹底學會數學抽象化思考的技巧,運用邏輯能力將問題化為捷徑。本書是寫給不排斥數學,但總是不得其門而入的讀者。你將學到數學家如何思考問題以及求解,深入體會數學最迷人的真正精髓。這本書原本是德國斯圖加特大學2006年的夏季學期中,針對非數學系學生所開設的課程教材改寫而成。(課程名稱為:與數學的相遇)為什麼很多人始終無緣一窺數學堂奧?為什麼你看得懂別人的算式,卻沒有辦法解一個別人沒解過的問題?作者在本書向大眾介紹22個以數學原則做基礎的思考工具,不只可以簡化大多數人面對難題而本能產生的複雜想法,更要活絡你的思路,學習用數學的抽象思考方式解決各種難題。有效的思考工具,就是幫助你運用想像力跟邏輯思維,把問題化繁為簡,再以此進一步求解,例如:Q:一整片格子狀巧克力,若要全部折斷成單格的小片,最少需要折幾次才能辦到?→用「類比原理」思考:試著折斷一片巧克力,折斷後的塊數,永遠比折斷次數多1......Q:數學天才高斯七歲的時候,老師要全班同學計算「從1加到100的總和」。高斯只花了幾秒就把答案寫好。他是怎麼算出來?→用「富比尼原理」思考:把數字分組,讓每一組數字的和永遠相同,再計算共有多少組......Q:有2n位大使受邀參加一個慶祝會。每位大使在這群人中最多有n - 1個敵人。要怎樣安排圓桌座位,才能讓每位大使都不會坐在自己的敵人旁邊?→用「單向變化原則」思考:A大使的朋友旁邊,絕不可能都坐著B大使的敵人......22個數學思考工具:1.類比原則:我們能將這個問題回推到另一個已知答案的類似問題嗎?2.富比尼原理:我們可否算出某些東西的數目,但卻是用完全不同的方法去算出來?3.奇偶原理:我們可以從問題是否可能具體區分成兩個互不重疊的類別,來得知問題有沒有解嗎?4.狄利克雷原理:如果 n+1 個物件要任意存放在 n 個格子內,至少會有 1 個格子放了2 個物件。5.排容原理:我們能不能從比較容易計數的子集合,來算出某個集合中的元素個數?6.相反原則:我們可不可以先假設某個斷言的反面是對的,然後透過無懈可擊的邏輯推導,得出與所假設事實矛盾的結論,以此來證明原本的斷言是對的?7.歸納原則:為了證明一堆有序物件當中的全部東西皆具有某種性質,可以先證明第一個東西有此項性質,然後再證明,若其中任意一個東西具有該性質,則下一個東西也有此性質。8.一般化原則:解決一般問題時,可不可以先刪去一些條件或是改變一些約束條件,然後再把求得的解運用在眼前的特殊情形?9.特殊化原則:解題時可以先看特殊情況,然後從特殊情況的結果推廣到一般情況的求解嗎?10.變化原則:我們是不是可以透過控制改變問題的某些層面,從新的角度來觀察,對原本的問題有更深入的理解,進而解開問題?11.不變性原理:系統裡有沒有一些性質,是在系統本身允許改變時也保持不變的,而從這些性質可以推導出系統可能的發展結果嗎?12.單向變化原則:在系統經歷了可允許的改變下,系統中有沒有一些性質只會以一種特定方式改變,且從這些變化可以推斷出系統可能的發展?13.無窮遞減法則:我們可不可以先替某件事給個例子,然後假設從這個例子一定可以推到越來越小例子,但實際上不可能永無止境地越推越小,因而證明這件事不可能發生?14.對稱原理:在給定系統裡有沒有某些對稱性質,可以讓我們從中取得資訊?15.極值原理:我們能不能從給定問題的極端情形,研究出所有情形的相關資訊?16.遞迴原理:解題時可以將問題一步一步推到更簡單的版本嗎?17.步步逼近原則:解題時,可以先找出一個近似解,然後在後續步驟中持續改進嗎?18.著色原理:我們可以透過使用顏色,在問題的結構中建構出模式,然後從中汲取解題的資訊嗎?19.隨機化原則:我們可以在問題裡引進一個隨機的機制,使問題簡化嗎?20.轉換觀點原則:解題時可以從目標往起點反向進行,然後再翻轉思考方向嗎?21.模組化原則:解題時可以將問題分解成許多子問題,解決之後再將這些部分解合併成完整的解?22.蠻力原則:我可以透過試遍所有可能的解法來解題嗎?


Best Sellers



Product Details
  • ISBN-13: 9783406586842
  • Publisher: Beck C. H.
  • Binding: Paperback
  • Language: German
  • Width: 335 mm
  • ISBN-10: 3406586848
  • Publisher Date: 9/24/2013
  • Height: 191 mm
  • Weight: 25 gr

Related Categories

Similar Products

How would you rate your experience shopping for books on Bookswagon?

Add Photo
Add Photo

Customer Reviews

REVIEWS           
Click Here To Be The First to Review this Product
Das kleine Einmaleins des klaren Denkens: 22 Denkwerkzeuge fur ein besseres Leben
Beck C. H. -
Das kleine Einmaleins des klaren Denkens: 22 Denkwerkzeuge fur ein besseres Leben
Writing guidlines
We want to publish your review, so please:
  • keep your review on the product. Review's that defame author's character will be rejected.
  • Keep your review focused on the product.
  • Avoid writing about customer service. contact us instead if you have issue requiring immediate attention.
  • Refrain from mentioning competitors or the specific price you paid for the product.
  • Do not include any personally identifiable information, such as full names.

Das kleine Einmaleins des klaren Denkens: 22 Denkwerkzeuge fur ein besseres Leben

Required fields are marked with *

Review Title*
Review
    Add Photo Add up to 6 photos
    Would you recommend this product to a friend?
    Tag this Book
    Read more
    Does your review contain spoilers?
    What type of reader best describes you?
    I agree to the terms & conditions
    You may receive emails regarding this submission. Any emails will include the ability to opt-out of future communications.

    CUSTOMER RATINGS AND REVIEWS AND QUESTIONS AND ANSWERS TERMS OF USE

    These Terms of Use govern your conduct associated with the Customer Ratings and Reviews and/or Questions and Answers service offered by Bookswagon (the "CRR Service").


    By submitting any content to Bookswagon, you guarantee that:
    • You are the sole author and owner of the intellectual property rights in the content;
    • All "moral rights" that you may have in such content have been voluntarily waived by you;
    • All content that you post is accurate;
    • You are at least 13 years old;
    • Use of the content you supply does not violate these Terms of Use and will not cause injury to any person or entity.
    You further agree that you may not submit any content:
    • That is known by you to be false, inaccurate or misleading;
    • That infringes any third party's copyright, patent, trademark, trade secret or other proprietary rights or rights of publicity or privacy;
    • That violates any law, statute, ordinance or regulation (including, but not limited to, those governing, consumer protection, unfair competition, anti-discrimination or false advertising);
    • That is, or may reasonably be considered to be, defamatory, libelous, hateful, racially or religiously biased or offensive, unlawfully threatening or unlawfully harassing to any individual, partnership or corporation;
    • For which you were compensated or granted any consideration by any unapproved third party;
    • That includes any information that references other websites, addresses, email addresses, contact information or phone numbers;
    • That contains any computer viruses, worms or other potentially damaging computer programs or files.
    You agree to indemnify and hold Bookswagon (and its officers, directors, agents, subsidiaries, joint ventures, employees and third-party service providers, including but not limited to Bazaarvoice, Inc.), harmless from all claims, demands, and damages (actual and consequential) of every kind and nature, known and unknown including reasonable attorneys' fees, arising out of a breach of your representations and warranties set forth above, or your violation of any law or the rights of a third party.


    For any content that you submit, you grant Bookswagon a perpetual, irrevocable, royalty-free, transferable right and license to use, copy, modify, delete in its entirety, adapt, publish, translate, create derivative works from and/or sell, transfer, and/or distribute such content and/or incorporate such content into any form, medium or technology throughout the world without compensation to you. Additionally,  Bookswagon may transfer or share any personal information that you submit with its third-party service providers, including but not limited to Bazaarvoice, Inc. in accordance with  Privacy Policy


    All content that you submit may be used at Bookswagon's sole discretion. Bookswagon reserves the right to change, condense, withhold publication, remove or delete any content on Bookswagon's website that Bookswagon deems, in its sole discretion, to violate the content guidelines or any other provision of these Terms of Use.  Bookswagon does not guarantee that you will have any recourse through Bookswagon to edit or delete any content you have submitted. Ratings and written comments are generally posted within two to four business days. However, Bookswagon reserves the right to remove or to refuse to post any submission to the extent authorized by law. You acknowledge that you, not Bookswagon, are responsible for the contents of your submission. None of the content that you submit shall be subject to any obligation of confidence on the part of Bookswagon, its agents, subsidiaries, affiliates, partners or third party service providers (including but not limited to Bazaarvoice, Inc.)and their respective directors, officers and employees.

    Accept

    New Arrivals



    Inspired by your browsing history


    Your review has been submitted!

    You've already reviewed this product!