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Full-Text Articles in Algebra
Pursuing Analogies Between Differential Equations And Difference Equations, David L. Abrahamson
Pursuing Analogies Between Differential Equations And Difference Equations, David L. Abrahamson
David L. Abrahamson
The study of ordinary differential equations has long been a staple in mathematics at both the undergraduate and graduate levels. Recently, instruction in the study of difference equations has widened, primarily due to the expanded role of the digital computer in mathematics. The two topics are inextricably linked at all levels, from elementary techniques through current research questions. Pursuing the analogies between these fields of study can only deepen the understanding of each. In particular, the study of many elementary topics in difference equations, requiring not even the use of calculus, can serve as a founda- tion for intuition and …
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.