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Proofs and Concepts: The Fundamentals of Abstract Mathematics
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• Title Proofs and Concepts: The Fundamentals of Abstract Mathematics
• Author(s) Dave Witte Morris, Joy Morris
• Publisher: University of Lethbridge (2009)
• Paperback N/A
• eBook PDF (220 pages, 1.8 MB)
• Language: English
• ISBN-10: N/A
• ISBN-13: N/A

Book Description

Proofs play a central role in advanced mathematics and theoretical computer science, yet many students struggle the first time they take a course in which proofs play a significant role.

This undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. It is designed to be the textbook for a bridge course that introduces undergraduates to abstract mathematics, but it is also suitable for independent study by undergraduates (or mathematically mature high-school students), or for use as a very inexpensive supplement to undergraduate courses in any field of abstract mathematics.

It helps students transition from solving problems to proving theorems by teaching them the techniques needed to read and write proofs.

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