Elements of the Theory of NumbersBy
- Thomas Dence
- Joseph Dence
Introductory undergraduate courses in number theory.
Hardbound, 517 Pages
Published: January 1999
Imprint: Academic Press
"I definitely appreciate the unified approach. I think it is important that the students realize that mathematics does not consist of separate entities."
--Maureen Fenrick, Mankato State University
"The authors communicate successfully the joy they find in number theory. Students will be excited by learning from this (text)."
--Frank DeMeyer, Colorado State University
"The book's biggest advantage is its thorough integration of the relevant algebra into the development. It's about time!"
--Thomas McLaughlin, Texas Tech University
- Part I The FundamentalsIntroduction: The PrimesThe Fundamental Theorem of Arithmetic and Its ConsequencesAn Introduction to CongruencesPolynomial CongruencesPrimitive RootsResiduesMultiplicative Functions Part II Special TopicsRepresentation ProblemsAn Introduction to Number FieldsPartitionsRecurrence Relations Appendix I: NotationAppendix II: Mathematical TablesAppendix III: Sample Final ExaminationsAppendix IV: Hints and Answers to selected problems