Publications of Stanley Rabinowitz

Stanley Rabinowitz, Conic Sections and Limits, The Mathematics Student Journal, 12.1(1964)5-6.

Stanley Rabinowitz, Sine Product Problem, The Mathematics Student Journal, 13.3(1966)5.

Stanley Rabinowitz, The Intercollegiate Mathematics League, The American Mathematical Monthly, 73(1966)1004-1006.

Stanley Rabinowitz, Chess and Checkers, Polytechnic Engineer: Undergraduate Technical Journal of the Polytechnic Institute of Brooklyn, 11.3(1970)40-46.

Stanley Rabinowitz, A Magic RookÕs Tour. Journal of Recreational Mathematics, 18(1985-86)203-204.

Stanley Rabinowitz, A Useful Trigonometric Substitution. Arbelos, 5(1986)1-6.

Stanley Rabinowitz, Convex Lattice Polytopes. Ph.D. Thesis, June 1986.

Stanley Rabinowitz, The Seven Circles Theorem. Pi Mu Epsilon Journal, 8(1987)441-449.

Stanley Rabinowitz, The Factorization of x5 ± x + n. Mathematics Magazine 61(1988)191-193.

Stanley Rabinowitz, On the Computer Solution of Symmetric Homogeneous Triangle Inequalities; in Proceedings of the ACM-SIGSAM 1989 International Symposium on Symbolic and Algebraic Computation (ISAAC Ō89), July 17-19, 1989. pp. 272-286. Scanned image., Supplement.
Macsyma programs: inequal, triang, testineq. Data files: tr, tr2, tr3, tr5, tr6, tr7, te.
Sample output: tr.list, tr2.list, tr3.list, tr5.list, tr6.list, tr7.list
Mathematica notebooks: triang.nb, inequal.nb, testineq.nb, tr.nb, tr2.nb

Stanley Rabinowitz, Oblique Pythagorean Lattice Triangles. Pi Mu Epsilon Journal, 9(1989)26-29.

Stanley Rabinowitz, The Volume of an n-simplex with Many Equal Edges. Missouri Journal of Mathematical Sciences, 1(1989)11-17.

Stanley Rabinowitz, A Census of Convex Lattice Polygons with at most one Interior Lattice Point (revised). Ars Combinatoria, 28(1989)83-96.

Stanley Rabinowitz, A Theorem about Collinear Lattice Points. Utilitas Mathematica, 36(1989)93-95.

Stanley Rabinowitz, Some Metric Inequalities for Lattice Polygons. The Journal of Combinatorial Mathematics and Combinatorial Computing, 5(1989)119-138.

Stanley Rabinowitz, Some Sums are not Rational Functions of R, r, and s. Crux Mathematicorum, 16(1990)1-3.

Stanley Rabinowitz, On the Number of Lattice Points Inside a Convex Lattice n-gon. Congressus Numerantium, 73(1990)99-124.

Stanley Rabinowitz, Abstract 863-11-482: A Spigot Algorithm for Pi, Abstracts of Papers Presented to the American Mathematical Society, 12(1991)30.

Stanley Rabinowitz, A Model for Memory Interference in Multiprocessors. Missouri Journal of Mathematical Sciences, 3(1991)12-19.

Stanley Rabinowitz, Why are the Exponents the Same? International Journal of Mathematical Education in Science and Technology. 22(1991)687-689.

Stanley Rabinowitz and Peter Gilbert, A Nonlinear Recurrence Yielding Binary Digits. Mathematics Magazine, 64(1991)168-171.

Stanley Rabinowitz, Index to Mathematical Problems 1980-1984. MathPro Press. Westford, MA: 1992. ISBN 0-9626401-1-5.

Stanley Rabinowitz, How to Find the Square Root of a Complex Number. Mathematics and Informatics Quarterly, 3(1993)54-56.

Stanley Rabinowitz, O(n^3) Bounds for the Area of a Convex Lattice n-gon. Geombinatorics 2(1993)85-88.

Stanley Rabinowitz, The Octagon Anomaly. Geombinatorics 3(1993)13-17.

Stanley Rabinowitz, Arithmetic Progressions from Pascal's Triangle. James Cook Mathematical Notes 6(1993)6256.

Stanley Rabinowitz, A Perplexing Finite Continued Fraction. Missouri Journal of Mathematical Sciences, 6(1994)2-9.

Stanley Rabinowitz and Stan Wagon, A Spigot Algorithm for the Digits of Pi (revised). The American Mathematical Monthly, 102(1995)195-203.

Stanley Rabinowitz, Algorithmic Manipulation of Fibonacci Identities; in Applications of Fibonacci Numbers, Volume 6 (edited by G. E. Bergum, et al.), Kluwer Academic Publishers, Dordrecht, The Netherlands: 1996. pp. 389-408.

Stanley Rabinowitz, Algorithmi Manipulation of Third-Order Linear Recurrences. The Fibonacci Quarterly, 34(1996)447-464.

Stanley Rabinowitz, Problems and Solutions from the Mathematical Visitor 1877-1896. MathPro Press. Westford, MA: 1996. ISBN 0-9626401-5-8.

Stanley Rabinowitz, A Polynomial Curve of Constant Width. Missouri Journal of Mathematical Sciences, 9(1997)23-27.

Stanley Rabinowitz, A Note on the Sum \Sum 1/wk2n. Missouri Journal of Mathematical Sciences, 10(1998)141-146.

Stanley Rabinowitz, Algorithmi Manipulation of Second-Order Linear Recurrences. The Fibonacci Quarterly, 37(1999)162-177.

Stanley Rabinowitz, Summation of Reciprocals of Products of Fibonacci Numbers (revised).The Fibonacci Quarterly, 37(1999)122-127.

Stanley Rabinowitz, Simplification of Reciprocal Sums (revised); in Applications of Fibonacci Numbers, Volume 8 (edited by G. E. Bergum, et al.), Kluwer Academic Publishers, Dordrecht, The Netherlands: 1999. pp. 277-292.

Stanley Rabinowitz and Mark Bowron, Index to Mathematical Problems 1975-1979. MathPro Press. Westford, MA: 1999. ISBN 0-9626401-2-3. online version

Stanley Rabinowitz, Some Bonnesen-Style Triangle Inequalities. Missouri Journal of Mathematical Sciences, 614(2002)75-87.

Stanley Rabinowitz, Mixed Exponential and Polynomial Congruences. Crux Mathematicorum, 28(2002)431-433.

Stanley Rabinowitz, Consequences of the Pentagon Property. Geombinatorics 14(2005)208-220.

Stanley Rabinowitz, Pseudo-Incircles. Forum Geometricorum 6(2006)107-115.


Published solutions to problems

Stanley Rabinowitz, Solution to Problem 580: A Diophantine Cubic. Mathematics Magazine 38.5(1965)319.

Stanley Rabinowitz, Solution to Problem 608: The Semi-perfect Number. Mathematics Magazine 39.4(1966)248.

Stanley Rabinowitz, Solution to Problem 615: A Convex Surface Property. Mathematics Magazine 39.5(1966)308-309.

Stanley Rabinowitz, Solution to Problem 370: Confused Statements. Mathematics Magazine 39.5(1966)314.

Stanley Rabinowitz, Solution to Problem 631: Rhymed Square. Mathematics Magazine 40.2(1967)105.

Stanley Rabinowitz, Solution to Problem 634: A Polynomial of Primes. Mathematics Magazine 40.2(1967)107.

Stanley Rabinowitz, Solution to Problem 653: Exponential Derivative. Mathematics Magazine 40.5(1967)284.

Stanley Rabinowitz, Solution to Problem 177. The Pi Mu Epsilon Journal 4.6(1967)260.

Stanley Rabinowitz, Solution to Problem 178. The Pi Mu Epsilon Journal 4.6(1967)260-261.

Stanley Rabinowitz, Solution to Problem 183. The Pi Mu Epsilon Journal 4.7(1967)297.

Stanley Rabinowitz, Solution to Problem B-115: Identities for Fkn and Lkn. The Fibonacci Quarterly 6.1(1968)92.

Stanley Rabinowitz, Solution to Problem E1918: A Divisibility Problem. The American Mathematical Monthly 75.2(1968)191.

Stanley Rabinowitz, Solution to Problem 658: A Cyclic Quadrilateral. Mathematics Magazine 41.1(1968)45.

Stanley Rabinowitz, Comment on Problem 637. Mathematics Magazine 41.1(1968)49.

Stanley Rabinowitz, Solution to Problem 667: A Well-Known Determinant. Mathematics Magazine 41.2(1968)99-100.

Stanley Rabinowitz, Solution to Problem 189. The Pi Mu Epsilon Journal 4.8(1968)356-357.

Stanley Rabinowitz, Solution to Problem E1926: Sum of Digits of a Number. The American Mathematical Monthly 75.3(1968)296.

Stanley Rabinowitz, Solution to Problem E1989: Coloring a Generalized Map. The American Mathematical Monthly 75.7(1968)789.

Stanley Rabinowitz, Solution to Problem E1990: Properties of General Pentagons. The American Mathematical Monthly 75.7(1968)790.

Stanley Rabinowitz, Solution to Problem E2005: A Sum of Multiples of Given Primes. The American Mathematical Monthly 75.9(1968)1010-1011.

Stanley Rabinowitz, Solution to Problem H-453: Sum Formulae!. The Fibonacci Quarterly 30.3(1992)286-288.

Stanley Rabinowitz, Solution to Problem H-454: Mx and Match. The Fibonacci Quarterly 30.4(1992)379-380.

Stanley Rabinowitz, Comment on Problem 69-5: A Quartic. SIAM Review 36.3(1994)491-493.

Stanley Rabinowitz, Solution to Problem B-786: Finding Coefficients of an Identity. The Fibonacci Quarterly 34.2(1996)186.

Stanley Rabinowitz, Solution to Problem 514. The Pi Mu Epsilon Journal 7.8(1983)548-549.


Problems published

Stanley Rabinowitz, Collected Problems, 1963--2005.