Focusing on the formal development of mathematics, this book demonstrates how to read and understand, write and construct mathematical proofs. It emphasizes active learning, and uses elementary number theory and congruence arithmetic throughout. Chapter content covers an introduction to writing in mathematics, logical reasoning, constructing proofs, set theory, mathematical induction, functions, equivalence relations, topics in number theory, and topics in set theory. For learners making the transition form calculus...
Mathematical Reasoning: Writing and Proof is designed to be a text for to first course in the college mathematics curriculum that focuses on the development of mathematics. The primary goals of the text are as
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