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An Introduction to Mathematical Proofs (Textbooks in Mathematics) by Nicholas A. Loehr
English | October 11, 2019 | ISBN: 0367338238 | True EPUB | 396 pages | 5 MB
An Introduction to Mathematical Proofspresents 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 exercisesCareful coverage of individual proof-writing skillsProof annotations and structural outlines clarify tricky steps in proofsThorough treatment of multiple quantifiers and their role in proofsUnified explanation of recursive definitions and induction proofs, with applications to greatest common divisors and prime factorizations
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