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Infinite Descent and Fermat's Conjecture. The Group of Primitive Pythagorean Triples. Printouts of Examples, Exercises, and Proofs from Section 16. Examples, Exercises, and Proofs from Section 16. Printouts of Examples, Exercises, and Proofs from Section 15. Examples, Exercises, and Proofs from Section 15. Printouts of Examples, Exercises, and Proofs from Section 13. Examples, Exercises, and Proofs from Section 13. Printouts of Examples, Exercises, and Proofs from Section 12. Examples, Exercises, and Proofs from Section 12. Printouts of Examples, Exercises, and Proofs from Section 11. Examples, Exercises, and Proofs from Section 11. Printouts of Examples, Exercises, and Proofs from Section 10. Examples, Exercises, and Proofs from Section 10. Printouts of Examples, Exercises, and Proofs from Section 9. Examples, Exercises, and Proofs from Section 9.

Printouts of Examples, Exercises, and Proofs from Section 8. Examples, Exercises, and Proofs from Section 8. Printouts of Examples, Exercises, and Proofs from Section 7. Examples, Exercises, and Proofs from Section 7. Printouts of Examples, Exercises, and Proofs from Section 6. Examples, Exercises, and Proofs from Section 6. PDF (This section includes biographical information on Pierre de Fermat.) Printouts of Examples, Exercises, and Proofs from Section 5. Examples, Exercises, and Proofs from Section 5. PDF (This section includes The Chinese Remainder Theorem.) Printouts of Examples, Exercises, and Proofs from Section 4. Examples, Exercises, and Proofs from Section 4.

Printouts of Examples, Exercises, and Proofs from Section 3. Examples, Exercises, and Proofs from Section 3. Printouts of Examples, Exercises, and Proofs from Section 2. Examples, Exercises, and Proofs from Section 2.

PDF (This section includes a proof of the Fundamental Theorem of Arithmetic.) Printouts of Examples, Exercises, and Proofs from Section 1. Examples, Exercises, and Proofs from Section 1. PDF (This section includes The Division Algorithm and The Euclidean Algorithm.) These notes and supplements have not been classroom tested (and so may have some typographical errors). The "Printout of Examples, Exercises, and Proofs" are printable PDF files of the Beamer slides without the pauses. The "Examples, Exercises, and Proofs" files were prepared in Beamer and they contain proofs of the results from the class notes. This descriptions are based on the ETSU 2020-21 Undergraduate Catalog.Ĭopies of the classnotes are on the internet in PDF format as given below. The prerequisite is Mathematical Reasoning (MATH 3000). Some history of the development of the discipline also is included." The catalog description for Elementary Number Theory (MATH 3120) is: "Introduces number theory, treating divisibility, congruencies, linear Diophantine equations, and quadratic residues. Freeman (1978), reprinted by Dover Publications (2008)