Arithmetical Wonderland
Many students find mathematics a daunting subject. Yet, in this unorthodox textbook, Liu brings a whole new clarity to arithmetic, making it a perfect resource for any budding teacher. With everyday language, even for formal proofs, students are carried along an accessible mathematical adventure by characters from the well-loved novels Alice in Wonderland and Through the Looking-Glass. At the same time, the book's prime focus on arithmetic allows the exploration of often uncovered topics, such as the concepts of divisibility and congruence as well as Diophantine equations. In eight chapters, Liu covers a range of topics from basic arithmetic to the Euclidean algorithm. Each chapter also includes a wealth of exercises catering to students of every level. As Liu has been noted for his 'unique ability to present difficult concepts in a clear and logical manner', Arithmetical Wonderland is an essential classroom resource.
- Covers a wealth of arithmetic in an accessible manner
- Includes copious exercises catering to students of every level
- Discusses often uncovered concepts, such as those of divisibility and congruence
Product details
February 2016Hardback
9780883857892
230 pages
262 × 182 × 18 mm
0.57kg
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Table of Contents
- Preface to a preliminary edition
- Introduction
- Table of contents
- Detailed table of contents
- 0. Review of arithmetic
- 1. Divisibility
- 2. Congruence
- 3. Common divisors and multiples
- 4. Linear Diophantine equations
- 5. Prime factorizations
- 6. Rational and irrational numbers
- 7. Numeration systems
- Appendix: a legacy of Martin Gardner
- Solution to odd-numbered exercises
- Index.