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Full-Text Articles in Entire DC Network
Circular Units Of Function Fields, Frederick Harrop
Circular Units Of Function Fields, Frederick Harrop
Frederick F Harrop
A unit index-class number formula is proved for subfields of cyclotomic function fields in analogy with similar results for subfields of cyclotomic number fields.
Prove It!, Kenny W. Moran
Prove It!, Kenny W. Moran
Journal of Humanistic Mathematics
A dialogue between a mathematics professor, Frank, and his daughter, Sarah, a mathematical savant with a powerful mathematical intuition. Sarah's intuition allows her to stumble into some famous theorems from number theory, but her lack of academic mathematical background makes it difficult for her to understand Frank's insistence on the value of proof and formality.
Leonhard Euler's Contribution To Infinite Polynomials, Jack Dean Meekins
Leonhard Euler's Contribution To Infinite Polynomials, Jack Dean Meekins
Theses Digitization Project
This thesis will focus on Euler's famous method for solving the infinite polynomial. It will show how he manipulated the sine function to find all possible points along the sine function such that the sine A would equal to y; these would be roots of the polynomial. It also shows how Euler set the infinite polynomial equal to the infinite product allowing him to determine which coefficients were equal to which reciprocals of the roots, roots squared, roots cubed, etc.