Creative mathematics : a gateway to research /

How do mathematicians approach a problem, explore the possibilities, and develop an understanding of a whole area around it? The issue is not simply about obtaining 'the answer'; rather, Beardon explains that a mathematical problem is just one of many related ones that should be simultaneo...

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Bibliographic Details
Main Author: Beardon, Alan F. (Author)
Format: Electronic eBook
Language:English
Published: Cambridge ; New York : Cambridge University Press, 2009.
Series:AIMS library series.
Subjects:
Online Access:CONNECT
Description
Summary:How do mathematicians approach a problem, explore the possibilities, and develop an understanding of a whole area around it? The issue is not simply about obtaining 'the answer'; rather, Beardon explains that a mathematical problem is just one of many related ones that should be simultaneously investigated and discussed at various levels, and that understanding this is a crucial step in becoming a creative mathematician. The book begins with some good advice about procedure, presentation, and organisation that will benefit every mathematician, budding, teaching or practised. In the rest of the book, Beardon presents a series of simple problems, then, through discussion, consideration of special cases, computer experiments, and so on, the reader is taken through these same problems, but at an increasing level of sophistication and generality. Mathematics is rarely a closed book, and seemingly innocent problems, when examined and explored, can lead to results of significance.
Item Description:Title from publisher's bibliographic system (viewed on 16 May 2024).
Physical Description:1 online resource (x, 110 pages) : digital, PDF file(s).
ISBN:9780511844782 (ebook)