Exploring the Real Numbers
Intended primarily for a course for future high school teachers. Can also serve as an introduction to mathematical thought, a short course in number theory, an honors course at the high school level, or an introduction to mathematical education research. As much a book about numbers as a number theory text, Exploring the Real Numbers answers the need for future teachers to understand the real number system. Experienced educator Frederick Stevenson brings students up to date with the study of the nature of real numbers and provides a sense of the historical journey that has led to our current knowledge of the subject. Many interesting topics that arise during the study of the real numbers are presented and students are given the opportunity to study topics further on their own. *Unique exploratory approach. *Flexible presentation. *Presents 4 different aspects of irrational numbers, algebraic, geometric, trigonometric, and analytic. *Includes 350 exercises that keep the reader current with the text . *More than 100 carefully worked examples make the material accessible to laymen as well as students.
What people are saying - Write a review
We haven't found any reviews in the usual places.
The Natural Numbers
The Rational Numbers
3 other sections not shown
accuracy algebraic numbers aliquot angle answer approximation arithmetic numbers bers calculator complex numbers composite numbers congruence consecutive Consider constructible numbers continued fraction expansion convergents Corollary cube cubic decimal expansion Definition denominator denote digits Diophantine equation divide division divisors Euclidean algorithm example exercise exponent Farey sequence Fermat Fibonacci numbers Find the smallest following numbers formula Gaussian integers gcd(a geometric Heron triangle induction integral domain irrational numbers lattice points length linear look mathematical mathematicians Mersenne primes multiple multiply perfect natural numbers notation Notice pairs Pell equation Pell equation x2 perfect square period polygon numbers polynomial equation prime factors prime form prime numbers problem Prove Theorem Pythagorean triangle Pythagorean triple quadratic questions radius rational numbers rational points real numbers relatively prime remainder represent representation rings Section shows sides solutions solving stars tion transcendental numbers triangular numbers true unit circle unit fractions whole numbers