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The Essence of Mathematics Through Elementary Problems

  • Category: Mathematics
  • Author: Alexandre V. Borovik, Tony Gardiner
  • License: CC BY 4.0
  • Pages: 398 pages
  • File type: HTML and PDF

Read and download free eBook intituled The Essence of Mathematics Through Elementary Problems in format HTML and PDF – 398 pages created by Alexandre V. Borovik, Tony Gardiner.

This book 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.

It has 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.

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The Essence of Mathematics Through Elementary Problems

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