• The Essence of Mathematics Through Elementary Problems

    Author(s):
    Open Book Publishers (view group) , Alexandre Borovik, Tony Gardiner
    Date:
    2019
    Group(s):
    Open Book Publishers
    Item Type:
    Book
    Tag(s):
    PB (Mathematics), YQM (Educational: Mathematics and numeracy), PBK (Calculus and mathematical analysis), PBM (Geometry)
    Permanent URL:
    http://dx.doi.org/10.17613/rt9c-s669
    Abstract:
    It is increasingly clear that the shapes of reality – whether of the natural world, or of the built environment – are in some profound sense mathematical. Therefore it would benefit students and educated adults to understand what makes mathematics itself ‘tick’, and to appreciate why its shapes, patterns and formulae provide us with precisely the language we need to make sense of the world around us. The second part of this challenge may require some specialist experience, but the authors of this book concentrate on the first part, and explore the extent to which elementary mathematics allows us all to understand something of the nature of mathematics from the inside. The Essence of Mathematics consists of a sequence of 270 problems – with commentary and full solutions. The reader is assumed to have a reasonable grasp of school mathematics. More importantly, s/he should want to understand something of mathematics beyond the classroom, and be willing to engage with (and to reflect upon) challenging problems that highlight the essence of the discipline. The book consists of six chapters of increasing sophistication (Mental Skills; Arithmetic; Word Problems; Algebra; Geometry; Infinity), with interleaved commentary. The content will appeal to students considering further study of mathematics at university, teachers of mathematics at age 14-18, and anyone who wants to see what this kind of elementary content has to tell us about how mathematics really works.
    Metadata:
    xml
    Published as:
    Book     Show details
    Pub. DOI:
    10.11647/OBP.0168
    Publisher:
    Open Book Publishers
    Pub. Date:
    10/06/2019
    ISBN:
    9781783747016
    Status:
    Pending Review
    Last Updated:
    3 years ago
    License:
    Attribution

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