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A Combinatorics Course with One Goal: Authentic Mathematical Inquiry
PRIMUS, 2016AbstractThis article shares an example of a course in Combinatorics, taught at Adelphi University in Fall 2012, designed with a primary goal of engaging students in pursuing mathematics as mathematicians do. The course went beyond usual applications of inquiry-based learning in that students were also charged with the responsibility of posing the ...
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Combinatorics in Vedic Mathematics
La Sallianum Ars et Scientia, 2020This paper draws inspiration from the seminal work and great book of Bharati Krishna Tirthaji and the preceding contributions and significant contributions of Kenneth Williams, Swati Dave, Marianne Fletcher, James Glover, Veronica Prudente, Virgillo Prudente and Gowri Ramachandran.
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International Journal of Research in Undergraduate Mathematics Education, 2016
The multiplication principle serves as a cornerstone in enumerative combinatorics. The principle underpins many basic counting formulas and provides students with a critical element of combinatorial justification. Given its importance, the way in which it is presented in textbooks is surprisingly varied. In this paper, we analyze a number of university
John S. Caughman +2 more
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The multiplication principle serves as a cornerstone in enumerative combinatorics. The principle underpins many basic counting formulas and provides students with a critical element of combinatorial justification. Given its importance, the way in which it is presented in textbooks is surprisingly varied. In this paper, we analyze a number of university
John S. Caughman +2 more
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Relations between Combinatorics and Other Parts of Mathematics
1979Brings into focus interconnections between combinatorics on the one hand and geometry, group theory, number theory, special functions, lattice packings, logic, topological embeddings, games, experimental dsigns, and sociological and biological applications on the other hand.
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APPLICATION OF COMBINATORICS IN DISCRETE MATHEMATICS AND ALGORITHMS
Combinatorics, as a branch of discrete mathematics, studies combinatorial structures and methods of their analysis. Its core tools, such as permutations, combinations, and placements, play a key role in various fields, including algorithms, optimization, cryptography, and graph theory. In this article, we will look at how combinatorics is used to solveopenaire +1 more source
2017
Combinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics. The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of combinatorial objects.
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Combinatorics, Second Edition is a well-rounded, general introduction to the subjects of enumerative, bijective, and algebraic combinatorics. The textbook emphasizes bijective proofs, which provide elegant solutions to counting problems by setting up one-to-one correspondences between two sets of combinatorial objects.
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Symmetry, Combinatorics, Artificial Intelligence, Music and Spectroscopy
Symmetry, 2021Krishnan Balasubramanian
exaly

