Table of Contents:
  • General introduction / Julius H. Hlavaty
  • Mathematics for the gifted : a bibliography for high school / William L. Schaaf
  • Section 1. THE HIGH SCHOOL YEARS. Introduction / Richard S. Pieters
  • Farey sequences / George S. Cunningham
  • Integers modulo 3 / Charles F. Brumfiel
  • Recent information on primes / Paul C. Rosenbloom
  • Gaussian integers / Jean M. Calloway
  • Number theory / Lawrence C. Eggan
  • A new look at some old geometry problems / Frances Hewitt
  • Nets / Albert A. Blank
  • Geometry : right and/or left / Charles F. Brumfiel
  • Fractional powers of complex numbers / L.K. Durst
  • Mathematical induction / Albert A. Blank
  • Abstract mathematics for upside-down readers / William Lane
  • A permutation group and its isomorphs / Mary L. Ingraham
  • Mathematical models of growth and decay / Donald E. Richmond
  • Problem solving and some problems / Charles F. Pinzka
  • More non-routine problems / Frank S. Hawthorne
  • What every young mathlete should know / Julius H. Hlavaty
  • Some unsolved problems of arithmetic / Waclaw Sierpinski
  • Section 2. THE TRANSITION TO COLLEGE. Introduction / Harry D. Ruderman
  • Plane convex figures / Paul J. Kelly
  • Computing a lunar eclipse : an exercise in classical mathematics / Samuel I. Greitzer
  • On lifting oneself by one's own boot straps / Albert A. Blank
  • Random walks / John G. Kemeny
  • The geometry of color / Melvin Hausner
  • Linear programming : the simplex method / A.M. Glicksman
  • The best or the probable best? / J. Heller
  • Knots and wheels / R.H. Crowell
  • Generating functions / Nathan J. Fine
  • Complex numbers and quaternions as matrices / Herman Meyer
  • Mathematics booklist for school libraries.