id: 05274438
dt: b
an: 2010a.00347
au: Marshall, David C.; Odell, Edward; Starbird, Michael
ti: Number theory through inquiry.
so: MAA Textbook. Washington, DC: Mathematical Association of America (MAA)
(ISBN 978-0-883-85751-9/hbk). ix, 140~p. (2008).
py: 2008
pu: Washington, DC: Mathematical Association of America (MAA)
la: EN
cc: F65 D45 C35
ut: number theory; mathematical thinking; primality; cryptography;
divisibility; Diophantine equations; inquiry based learning; guided
discovery; modified Moore method; mathematical thinking; university
teaching ; teaching methods
ci:
li:
ab: Heuristic techniques were always applicable to number theory: the above
argument gets stronger with the publication of this book divided into
eleven chapters. Chapter 0 is most interesting because it includes
comments on the relation between number theory and mathematical
thinking. The remaining ten chapters deal with important issues in
number theory such as divisibility, prime numbers, congruences,
Fermat’s little theorem and Euler’s theorem, applications of
cryptography, Diophantine equations and primality tests. All these
issues are originally developed with an autonomous way of thinking by
the authors and this effort is concluded with a note on mathematical
induction.
rv: Panayiotis Vlamos (Athena)