Arithmetical Wonderland
Mathematical Association of America (Verlag)
978-0-88385-789-2 (ISBN)
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.
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.
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.
| Erscheinungsdatum | 21.04.2016 |
|---|---|
| Reihe/Serie | Classroom Resource Materials |
| Verlagsort | Washington |
| Sprache | englisch |
| Maße | 182 x 262 mm |
| Gewicht | 570 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Arithmetik / Zahlentheorie |
| ISBN-10 | 0-88385-789-8 / 0883857898 |
| ISBN-13 | 978-0-88385-789-2 / 9780883857892 |
| Zustand | Neuware |
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