The Essence of Mathematics Through Elementary Problems

Borovik, Alexandre; Gardiner, Tony

The Essence of Mathematics Through Elementary Problems

dc.contributor.author	Borovik, Alexandre
dc.contributor.author	Gardiner, Tony
dc.date.accessioned	2025-06-20T04:09:01Z
dc.date.available	2025-06-20T04:09:01Z
dc.date.issued	2019
dc.description	400 p.
dc.description.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.
dc.identifier.isbn	9781783747016
dc.identifier.uri	https://oerrepository.ntt.edu.vn/handle/298300331/738
dc.language.iso	en
dc.publisher	Open Book Publishers
dc.subject	Mathematics
dc.subject	Elementary Problems
dc.title	The Essence of Mathematics Through Elementary Problems
dc.type	Book
dcterms.license	Creative Commons Attribution 4.0 International