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Arithmetical Wonderland

Arithmetical Wonderland

Arithmetical Wonderland

Andrew Liu, University of Alberta
February 2016
This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.
Hardback
9780883857892
£33.99
GBP
Hardback

    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 2016
    Hardback
    9780883857892
    230 pages
    262 × 182 × 18 mm
    0.57kg
    This item is not supplied by Cambridge University Press in your region. Please contact Mathematical Association of America for availability.

    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.
      Author
    • Andrew Liu , University of Alberta

      Andrew Liu is a Professor Emeritus of the University of Alberta in Edmonton, Canada. He has a doctorate in mathematics as well as a professional diploma after degree in elementary education. Over his career, he had primary responsibility within the Department of Mathematical and Statistical Sciences for designing and teaching the lone course offered to students in elementary education. He acted as the deputy leader of the USA team and the leader of the Canadian team in the International Mathematical Olympiad and ran a mathematical circle for junior high school students, which he did for thirty-two years. He has authored ten other books prior to this volume, four of which were published by the Mathematical Association of America. He was also a winner of the Deborah and Franklin Teppo-Haimo Award.