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Mathematical Proofs: A Transition to Advanced Mathematics
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Mathematical Proofs: A Transition to Advanced Mathematics

3.92 of 5 stars 3.92  ·  rating details  ·  59 ratings  ·  2 reviews
Mathematical Proofs: A Transition to Advanced Mathematics, 2/e, prepares students for the more abstract mathematics courses that follow calculus. This text introduces students to proof techniques and writing proofs of their own. As such, it is an introduction to the mathematics enterprise, providing solid introductions to relations, functions, and cardinalities of sets. K...more
Hardcover, Second Edition, 384 pages
Published October 13th 2007 by Pearson (first published May 28th 2002)
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Muhannad Alzahrani
Clear and accessible text for any one has a little background in mathematics ( basic algebra skills, some background in single variable calculus is preferred but not necessary).In my opinion it might be the best starting point to get into advanced pure mathematics.

The whole book can be divided into 4 main parts :

1- Introduction to simple logic and set theory.

2- Methods of proofs in Mathematics ( Trivial & Vacuous proofs, Direct proofs, Proofs by contrapositive, by contradiction, by a counter...more
Chandra Kethi-reddy
Mar 06, 2014 Chandra Kethi-reddy rated it 3 of 5 stars
Recommended to Chandra by: Andrew Hunt
Shelves: maths
Clear, precise, and altogether excellent introduction of proofs and basic set theory. I'm glad historical context and facts about the development of logic were given (a move few maths textbooks have the balls to do). If you're looking to get into real maths, not the BS taught up to college, this is a great starting point.
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Gary Theodore Chartrand is a professor emeritus of mathematics at Western Michigan University
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