Arthur T. Benjamin
#8,132
Most Influential Person Now
American mathematician
Arthur T. Benjamin's AcademicInfluence.com Rankings
Arthur T. Benjaminmathematics Degrees
Mathematics
#487
World Rank
#955
Historical Rank
#218
USA Rank
Combinatorics
#13
World Rank
#17
Historical Rank
#3
USA Rank
Number Theory
#387
World Rank
#484
Historical Rank
#63
USA Rank
Measure Theory
#4158
World Rank
#4897
Historical Rank
#1171
USA Rank
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Mathematics
Arthur T. Benjamin's Degrees
- PhD Mathematics Johns Hopkins University
- Masters Mathematics Johns Hopkins University
- Bachelors Mathematics Carnegie Mellon University
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Why Is Arthur T. Benjamin Influential?
(Suggest an Edit or Addition)According to Wikipedia, Arthur T. Benjamin is an American mathematician who specializes in combinatorics. Since 1989 he has been a professor of mathematics at Harvey Mudd College, where he is the Smallwood Family Professor of Mathematics.
Arthur T. Benjamin's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Proofs that Really Count: The Art of Combinatorial Proof (2003) (336)
- Across the board: The mathematics of chessboard problems (2005) (87)
- A Combinatorial Approach to Hyperharmonic Numbers (2003) (67)
- The Fibonacci Numbers—Exposed More Discretely (2003) (58)
- Recounting Fibonacci and Lucas Identities (1999) (45)
- The Probability of Relatively Prime Polynomials (2007) (44)
- Tiling Proofs of Recent Sum Identities Involving Pell Numbers (2008) (39)
- The Fascinating World of Graph Theory (2015) (38)
- A Stirling Encounter with Harmonic Numbers (2002) (36)
- Strong chromatic index of subset graphs (1997) (30)
- A Combinatorial Approach to Fibonomial Coefficients (2008) (25)
- PHASED TILINGS AND GENERALIZED FIBONACCI IDENTITIES (2000) (24)
- An Alternate Approach to Alternating Sums: A Method to DIE for (2008) (24)
- Combinatorial trigonometry with Chebyshev polynomials (2010) (23)
- Combinatorics and Campus Security (1996) (23)
- Sums of Evenly Spaced Binomial Coefficients (2010) (23)
- How Do I Marry Thee? Let Me Count the Ways! (1995) (19)
- Magic “Squares” Indeed! (1999) (18)
- Counting on Chebyshev Polynomials (2009) (18)
- Fibonacci Determinants — A Combinatorial Approach (2007) (18)
- Random Approaches to Fibonacci Identities (2000) (16)
- Combinatorial Proofs of Fermat's, Lucas's, and Wilson's Theorems (2005) (15)
- Proofs that Really Count: Foreword (2003) (15)
- Counting on Continued Fractions (2000) (15)
- Counting on Determinants (2005) (15)
- Secrets of Mental Math: The Mathemagician's Guide to Lightning Calculation and Amazing Math Tricks (2006) (14)
- The 99th Fibonacci Identity (2008) (14)
- Combinatorial Interpretations of Spanning Tree Identities (2006) (14)
- A Combinatorial Proof of Vandermonde's Determinant (2007) (12)
- Determinants of the Tournaments (1996) (12)
- Composite Fermions and Integer Partitions (2001) (12)
- LINEAR RECURRENCES THROUGH TILINGS AND MARKOV CHAINS (2001) (11)
- Recounting Determinants for a Class of Hessenberg Matrices (2007) (10)
- What's best? (2000) (10)
- FIBONACCI AND LUCAS IDENTITIES THROUGH COLORED TILINGS (1999) (9)
- The Fermion-Boson transformation in fractional quantum Hall systems (2000) (7)
- Recounting the Odds of an Even Derangement (2005) (7)
- The Combinatorialization of Linear Recurrences (2011) (6)
- Combinatorially composing Chebyshev polynomials (2010) (6)
- How do I marry thee? Let me count the ways (1995) (6)
- Pythagorean primes and palindromic continued fractions. (2005) (6)
- Searching for Optimal Strategies in Knock 'm Down (1999) (6)
- Biscuits of Number Theory (2008) (5)
- Compression Theorems for Periodic Tilings and Consequences (2009) (5)
- Self-Avoiding Walks and Fibonacci Numbers (2006) (5)
- Combinatorial Proofs of Fibonomial Identities (2014) (4)
- Two Quick Combinatorial Proofs of ∑ k = 1 n k 3 = ( \smallmatrix n+1 2 \endsmallmatrix ) 2 (2002) (4)
- Recounting Binomial Fibonacci Identities (2004) (4)
- Secrets of mental math (2011) (4)
- Another Way of Counting NN (1992) (4)
- Sensible Rules for Remembering Duals - the S-O-B Method (1995) (4)
- The Best Way to Knock 'm Down (1999) (4)
- Analysis of the N-Card Version of the Game Le Her (2002) (4)
- Unified tiling proofs of a family of Fibonacci identities (2019) (3)
- Third and Fourth Binomial Coefficients (2011) (3)
- The bisection method: which root? (1988) (3)
- A Probabilistic View of Certain Weighted Fibonacci Sums (2003) (3)
- Challenging Magic Squares for Magicians (2014) (3)
- Counting on r-Fibonacci Numbers (2015) (2)
- Factoring Numbers with Conway’s 150 Method (2018) (2)
- Graphs, Maneuvers and Turnpikes (1990) (2)
- Optimal Blackjack Strategy with "Lucky Bucks" (1993) (2)
- Mathemagics: How to Look Like a Genius Without Really Trying (1993) (2)
- Transformation of Statistics in Fractional Quantum Hall Systems (2000) (2)
- Summing Cubes by Counting Rectangles (2006) (2)
- Two Quick Combinatorial Proofs (2002) (2)
- Combinatorics of Two-Toned Tilings (2011) (2)
- The Magic of Math: Solving for x and Figuring Out Why (2015) (2)
- Enumerating Backgammon Positions: The Perfect Hash (1997) (2)
- Optimal Token Allocations in Solitaire Knock 'm Down (2000) (2)
- A Rational Solution to Cootie (2000) (2)
- Multiplying by 9 (2016) (1)
- Paint It Black—A Combinatorial Yawp (2008) (1)
- A Better Way to Memorize Pi: The Phonetic Code (2000) (1)
- Turnpike Structures for Optimal Maneuvers (1989) (1)
- Proof Without Words: Alternating Sums of Odd Numbers (2005) (1)
- Sonatina for violin and piano (2015) (1)
- Double Birthday Magic Square (2006) (1)
- Letter to the Editor: Sury on Binet (2005) (1)
- Ted Talk: Arthur Benjamin's Formula for Changing Math Education (2009) (1)
- Unevening the Odds of “Even Up” (1999) (1)
- Revisiting Fibonacci and Related Sequences (2006) (1)
- Counting on Euler and Bernoulli Number Identities. (2020) (1)
- Estimating Winning Probabilities in Backgammon Races (2007) (1)
- Fantasies for piano solo (0)
- The Boosey & Hawkes 20th-century piano collection (1997) (0)
- GENERALIZED FIBONACCI IDENTITIES (2000) (0)
- Math Major, Math Major (2001) (0)
- 7. Bingo Paradoxes (2019) (0)
- Appendix of Combinatorial Theorems (2013) (0)
- Let's go Hiking (2015) (0)
- British light classics (2004) (0)
- Advanced Fibonacci & Lucas Identities (2013) (0)
- The Man Who Knew Too Much: The Storm Clouds, Cantata (2015) (0)
- Light Music Suite: March; Pastorale (2015) (0)
- Alternating Sign Binomial Identities (2013) (0)
- The Art of Mental Calculation: Addiction & Subtraction (2014) (0)
- Mathematical Constance (A Poem Dedicated to Constance Reid) (2001) (0)
- A Rational Solution to Cootie Author ( s ) : (2016) (0)
- An Amazing Mathematical Card Trick (2010) (0)
- Nightingale Lane (1939) (Text by William Sharp) (2015) (0)
- 6. Encircling Graphs (2015) (0)
- Some Hints and Solutions for Chapter Exercises (2003) (0)
- The Boosey & Hawkes 20th-century easy piano collection : 28 pieces for the early grades (1999) (0)
- LINEAR RECURRENCES THROUGH TILINGS AND MARKOV (2007) (0)
- Book Review: Across the Board: The Mathematics of Chessboard Problems by John J. Watkins (2005) (0)
- Reviews (2004) (0)
- Suite for Flute and Strings - after Scarlatti (2009) (0)
- A Stirling En count er with Harmonic Numbers (2002) (0)
- Italian baroque concertos (1996) (0)
- Proposal : Domino Tilings of a Checkerboard (2009) (0)
- 11-1-2002 Two Quick Combinatorial Proofs (2016) (0)
- Violin Sonatina (1924) (2015) (0)
- I The Best Way to Knock ' m Down 11 The Best Way to Knock ' m Down (2016) (0)
- Goes to town (2013) (0)
- Optimization in Chemical Kinetics (1992) (0)
- Symphony no. 1 (1944-45) ; Ballade for string orchestra (1947) (1996) (0)
- Mathemagics! The Art of Mental Calculation (1999) (0)
- Paths to a Multinomial Inequality (2000) (0)
- An English lilt, with Irish tilt (1998) (0)
- The Mathematical Web (2001) (0)
- Proof With Words: 2 + 11 - 1 = 12 (2001) (0)
- 10. Drawing Graphs (2015) (0)
- 3. Analyzing Distance (2015) (0)
- Localization of optimal strategies in certain games (1994) (0)
- Practitioner ' s Commentary : Optimization in chemical Kinetics (2005) (0)
- 8. Decomposing Graphs (2015) (0)
- 9. Orienting Graphs (2015) (0)
- Combinatorial Proofs Using Complex Weights (2010) (0)
- Violin sonatina ; Viola sonata (2014) (0)
- Homage to Paderewski : piano solo (2014) (0)
- Seven-Card Stud Magic and the Gilbreath principle (2023) (0)
- Math Major Wins College Jeopardy (1999) (0)
- Proofs that Really Count: Harmonic and Stirling Number Identities (2003) (0)
- Fibonomial Tilings and Other Up-Down Tilings (2019) (0)
- 12. Synchronizing Graphs (2015) (0)
- Q.954 and A.954, Quickie Problem and Solution (2005) (0)
- A Discrete and Weighty Approach to Recurring Relations (0)
- Epilogue. Graph Theory: A Look Back—The Road Ahead (2015) (0)
- Challenging Knight’s Tours (2018) (0)
- Graph Theory: A Look Back—The Road Ahead (2017) (0)
- Squaring, Cubing, and Cube Rooting (2012) (0)
- Why the Player Never Wins in the Long Run at LA Blackjack (1999) (0)
- Appendix of Identities (2013) (0)
- Index of Mathematical Terms (2015) (0)
- Italian oboe concertos (1996) (0)
- Suite after Scarlatti (2012) (0)
- 1. Introducing Graphs (2015) (0)
- Concertino for Piano and Orchestra (1927) (2015) (0)
- Proofs that Really Count: Binomial Identities (2003) (0)
- Overture to an Italian Comedy (2009) (0)
- Thir d and Fourth Binomial Coeffic ients (2011) (0)
- Proofs that Really Count: Fibonacci Identities (2003) (0)
- 4. Constructing Trees (2015) (0)
- 5. Traversing Graphs (2015) (0)
- Three Mystical Songs (1925) (2015) (0)
- Optimal Leapfrogging, A Complete Guide (2021) (0)
- North American Square Dance (2012) (0)
- Optimal Klappenspiel (2016) (0)
- 2-1-2007 Fibonacci Deteminants-A Combinatorial Approach (2016) (0)
- Martin Gardner in the Twenty-First Century: Squaring, Cubing, and Cube Rooting (2012) (0)
- A (Not So) Complex Solution to a2 + b2 = cn (2004) (0)
- A combinatorial solution to intertwined recurrences (2007) (0)
- Bounds on a Bug 5 Bounds on a Bug (2016) (0)
- The Long and the Short of Benford’s Law (2019) (0)
- The BINGO Paradox (2017) (0)
- 2. Classifying Graphs (2015) (0)
- FIBONACCI IDENTITIES DERIVED FROM PATH COUNTING IN AUTOMATA (2008) (0)
- 5-1-2011 Third and Fourth Binomial Coefficients (2016) (0)
- Solution to Problem 1751, A Combinatorial Identity (2007) (0)
- Unevening the Odds of " Even Up " Author ( s ) : (2016) (0)
- BINGO PARADOXES (2019) (0)
- Teach your child math : making math fun for the both of you / Arthur Benjamin and Michael Brant Shermer (1991) (0)
- Ted Talk: Arthur Benjamin Does "Mathemagic" (2005) (0)
- Aftermath: Reflections on Math and Magic (2023) (0)
- 11. Coloring Graphs (2015) (0)
- Proof with Words (2001) (0)
- Bounds on a Bug (1999) (0)
- Teach Your Child Math (1991) (0)
- Ta Da! (A Magical Math Pop Quiz) (2009) (0)
- 7. Factoring Graphs (2015) (0)
- Gibonacci and Lucas Identities (2013) (0)
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