Publications of Stanley Rabinowitz    (chronological list)

1964–1979

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.

1980–1989

Stanley Rabinowitz, A Magic Rook’s 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 ’89), 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.

1990–1999

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, Algorithmic 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 ∑1/wk2n. Missouri Journal of Mathematical Sciences, 10(1998)141-146.

Stanley Rabinowitz, Algorithmic 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, Algorithmic 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

2000–

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.

Stanley Rabinowitz, Relationships Between Six Incircles. Sangaku Journal of Mathematics 3(2019)51-66.

             Mathematica Notebooks: proofOfIncirclesTheorem6.1.nb, proofOfIncirclesTheorem6.2.nb, proofOfIncirclesTheorem6.3.nb,

                                                      proofOfIncirclesTheorem7.1.nb, proofOfIncirclesTheorem7.2.nb, proofOfIncirclesTheorem7.3.nb

Stanley Rabinowitz, Relationships Between Six Excircles. Sangaku Journal of Mathematics 3(2019)73-90.

             Mathematica Notebooks: proofOfExcirclesTheorem5.1.nb, proofOfExcirclesTheorem5.2.nb,

                                                      proofOfExcirclesTheorem8.3.nb, proofOfExcirclesTheorem8.4.nb

This website was last updated on July 25, 2019. This website is maintained by Stanley Rabinowitz.

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