![]() – Proofs, rather than sketches of proofs as in the sixth edition, are provided for Theorems 5.1.17 and 5.1.22, which give the greatest common divisor and least common multiple of two integers given their prime factorizations. – The description and notation for integers ( Z, Z+, Z-, Z nonneg), rational numbers (with Z replaced by Q), and real numbers (with Z replaced by R) are introduced early (in Section 1.1, Sets). ![]() – Makes sets available for proofs in examples and exercises, thus providing more interesting examples earlier than in the previous editions. – Permits the use of set terminology throughout the book.
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