EAN: 9780387946177

AN ACCOMPANIMENT TO HIGHER MATHEMATICS - GEORGE...

For Students Congratulations! You are about to take a course in mathematical proof. If you are
nervous about the whole thing  this book is for you (if not  please read the second and third
paragraphs in the introduction for professors following this  so you won't feel left out). The
rumors are true  a first course in proof may be very hard because you will have to do three
things that are probably new to you: 1. Read mathematics independently. 2. Understand proofs on
your own. :1. Discover and write your own proofs. This book is all about what to do if this
list is threatening because you never read your calculus book or can't do proofs. Here's the
good news: you must be good at mathematics or you wouldn't have gotten this far. Here's the bad
news: what worked before may not work this time. Success may lie in improving or discarding
many habits that were good enough once but aren't now. Let's see how we've gotten to a point at
which someone could dare to imply that you have bad habits. l The typical elementary and high
school mathematics education in the United States tends to teach students to have ineffective
learning habits  1 In the first paragraph  yet. xiv Introduction and we blush to admit college
can be just as bad.

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