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Books > Science & Mathematics > Mathematics > Mathematical foundations
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An Introduction to Mathematical Proofs (Paperback)
Loot Price: R1,437
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An Introduction to Mathematical Proofs (Paperback)
Series: Textbooks in Mathematics
Expected to ship within 12 - 17 working days
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An Introduction to Mathematical Proofs presents fundamental
material on logic, proof methods, set theory, number theory,
relations, functions, cardinality, and the real number system. The
text uses a methodical, detailed, and highly structured approach to
proof techniques and related topics. No prerequisites are needed
beyond high-school algebra. New material is presented in small
chunks that are easy for beginners to digest. The author offers a
friendly style without sacrificing mathematical rigor. Ideas are
developed through motivating examples, precise definitions,
carefully stated theorems, clear proofs, and a continual review of
preceding topics. Features Study aids including section summaries
and over 1100 exercises Careful coverage of individual
proof-writing skills Proof annotations and structural outlines
clarify tricky steps in proofs Thorough treatment of multiple
quantifiers and their role in proofs Unified explanation of
recursive definitions and induction proofs, with applications to
greatest common divisors and prime factorizations About the Author:
Nicholas A. Loehr is an associate professor of mathematics at
Virginia Technical University. He has taught at College of William
and Mary, United States Naval Academy, and University of
Pennsylvania. He has won many teaching awards at three different
schools. He has published over 50 journal articles. He also
authored three other books for CRC Press, including Combinatorics,
Second Edition, and Advanced Linear Algebra.
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