Dr. Charlie Cook

Distinguished Professor Emeritus

 


Publications—Problems:

 

Co-author of the paper “Areas of Triangles and Other Polygons With Vertices From Various Sequences” which was presented by Virginia P. Johnson, Department of Mathematics, Columbia College, Columbia, SC.


"An Extension of Some Results due to Jarden" published in the
Journal of Advances in Mathematics, Vol 9, No. 8, January 2015
with co-authors A. G. Shannon, Emeritus Professor of the University of Technology, Sydney, Australia and
Rebecca A. Hillman, USC Sumter
 

The Fibonacci Quarterly, Volume 52 Number 1, February 2015: Recognition for solutions to Problems
B-1142 Summing Every Fourth Fibonacci B-1144 It Is Not Strict When n = 1!

Volume 52 Number 2, May 2015: Recognition for solutions to Problem
B-1146 It Can Be Sharpened and The published solution to Cook’s original problem
H-741 An Application of the AM-GM Inequality was solved by 6 people.


The Fibonacci Quarterly,  Nov 2012, Vol. 52, No. 4:
Article: "Some Polygonal Number Summation Formulas" with co author Michael R. Bacon, St. Leo University, Sumter, SC.
 
Problem solution acknowledgements:
B-1139 "A Lot of Waste"  and  B-1140 It Adds Up to F_{n+2}

“RIT Redux”  published in the August 2014 issue of The Fibonacci Quarterly, Vol. 52, No. 3.

“Advanced Problems and Solutions: H-741,” The Fibonacci Quarterly 51 (August 2013): 282.



Publications—Solutions:

“Elementary Problems and Solutions: ‘B-1101 – The Ubiquitous AM-GM Inequality’,” The Fibonacci Quarterly 51 (February 2013): 86.

“Elementary Problems and Solutions: ‘B-1103 ‘An Extension to Negative Subscripts’,” The Fibonacci Quarterly 51 (February 2013): 87-88.

“Elementary Problems and Solutions: ‘B-1114 – A Simple Inequality’,” The Fibonacci Quarterly51 (August 2013): 279-80.


Scholarly Reviewer:

Manuscript reviewer for The Fibonacci Quarterly and The College Mathematics Journal.


2016


Cook has been named to the editorial board of The Fibonacci Quarterly



Publications in The Fibonacci Quarterly, Volume 54.3, August 2016:
“Caen and Cheese: A Report ib the Seventeenth International Conference on Fibonacci Numbers and Their Applications”



“Using Matrices to Derive Identities for Recursive Sequences” with co authors Rachel K. Graves of the Citadel in Charleston, SC and Michael R. Bacon of St. Leo University in Sumter, SC.



Recognition for Solutions to Problems in the Elementary Section: B-1172: Area of Triangles with Generalized Fibonacci Coordinates

 

A paper "Using Matrices to Derive Identities for Recursive Sequences" by  Charlie Cook, Mike Bacon and Rachel Graves was presented at the Fall meeting of the Carolina Mathematics Seminar at Francis Marion University on November 6, 2015.  The paper was presented by Miss Graves, a graduate student at The Citadel.



“Some Identities of Sequences of Binomial Sums of Generalized Fibonacci Numbers” with co-author Takao Komatsu, School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, China, in The Fibonacci Quarterly, Vol. 54, No. 2, May 2016.



Also in that journal, Charlie was recognized for his solutions to Problem B-1166 “Series of Reciprocals” and Problem B-1167 “Polygons with Fibonacci Number Coordinates”.

 

Presentations



Charlie presented two papers at the 17th International Conference on Fibonacci Numbers and Their Applications at the Université de Caen - Normandie, Caen, France during the week of June 27-July 2.

The first: “Higher Order Boustrophedon Transforms For Certain Well-Known Sequences” was co-authored with Michael R. Bacon, Saint Leo University, Shaw Center, Sumter, SC.
The second: “Basic Linear Recursive Matrices” was co-authored with A. G. Shannon, Emeritus Professor, University of Technology, Sydney, NSW 2007, Australia and Rebecca A. Hillman, University of South Carolina, Sumter, Sumter, SC.




2015

 

Served as a referee for papers seeking publication in:
The Fibonacci Quarterly
The Journal of Integer Sequences
Mathematics Communications

Served as a referee for original problems in the College Mathematics Journal



August 2014

Cook attended the 16th International Conference on Fibonacci Numbers and their Applications held at Rochester Institute of Technology in Rochester, NY during the week of July 20-26 where
he presented 2 papers:

1. “Some Polygonal Number Summation Formulas” which he wrote with co-author Michael R. Bacon of Sumter, and
2. “Some Pyramidal and Other Higher Dimensional Figurate Number Summation Formulas”, which was co-authored by Michael R. Bacon of Sumter and Sharon M. Mosgrove, formerly of USC Sumter.

He was also a co- author of the paper “An Extension of Some Results Due to Jarden” which was presented by co-author, Anthony G. Shannon of the University of Technology, Sydney, Sydney, Austrailia.

June 2014

Charlie Cook was recognized for his solutions to the following problems in The Fibonacci Quarterly,  Vilume 52, No. 1.
 
B-1121: Inequalities with 4's
B-1124: Greater Than Half the Number of Terms
B-1125: A Lucas Sum

Oct 2013

Charlie Cook had an original problem H-741 published in the August 2013 issue of The Fibonacci Quarterly.  He was also recognized for his solution to Problem B-1114 “A Simple Inequality” in the same issue.

April 2013

Charlie Cook Shared the highlighted solution to problem B-1101 “The Ubiquitous AM-GM Inequality” with other solvers; and was recognized for his solutions to Problem B-1102 “From the Weighted AM-GM Inequality” and problem B-1103 “An Extension to Negative Subscripts” in The Fibonacci Quarterly vol 51, No. 1.


Cook is an article referee for the Fibonachi Quarterly.

 

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