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A Transition to Advanced Mathematics

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Title: A Transition to Advanced Mathematics
by Douglas Smith, Maurice Eggen, Richard St. Andre, Richard St Andre
ISBN: 0-534-38214-2
Publisher: Brooks Cole
Pub. Date: 12 January, 2001
Format: Hardcover
Volumes: 1
List Price(USD): $100.95
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Average Customer Rating: 2.83 (6 reviews)

Customer Reviews

Rating: 5
Summary: An excellent book
Comment: This is an excellent book for those wishing to make it into advanced mathematics - probability, measure etc. The exercises are not difficult. They are fairly easy. The proofs that are left for the students to complete are not difficult at all. In fact, the first half of the proofs are generally given in the text. I do not see the need to know number theory to understand this book. The current price is prohibitive - I paid less than a third of its current price more than a decade ago!

Rating: 1
Summary: Not Very Helpful
Comment: I just finished taking a summer session math course that had this book as the only required text. I found the teacher's lectures easy to understand, yet when I referred to the book I got confused. It was impossible to learn new concepts solely from the text. Generally, all of my classmates agreed that this book was "not very useful" (we used stronger language) for an introduction to this kind of abstract math. If I knew eight weeks ago what I know now, I would have saved the hundred dollars and borrowed someone else's book just to get the homework assignments.

Rating: 1
Summary: DO NOT BOTHER
Comment: The idea is right, compose a book to assist undergraduate math majors in their transition from basic calculus or linear algebra into the more abstract fields of mathematics. But that is where it all ends. First off, the majority of the problems in the later half of the first chapter presupposes the student has had some introduction to basic number theory. But this contradicts the very nature of the book. Secondly, the authors have a tendency to take the simplist of mathematical concepts and make it more difficult than it needs to be. For example, the authors two part definition of the union and intersection of an indexed family of sets. This is about as basic a concept as there is in mathematics, yet the authors manage to make it utterly confusing. Remember who your target audience is.
Personally if one cannot write proofs(The basis of the book) don't bother with this book, buy just about any mathematics book titled "How to read/write proofs".

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