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Matthias Beck & Ross Geoghegan The Art Of Proof

Summary: Matthias Beck & Ross Geoghegan
The Art Of Proof
Basic Training For Deeper Mathematics
August 8, 2011
Great teachers introduced us to the arts of
mathematics and writing:
To Harald Kohl and Hartmut Stapf
To the memory of
Fr. Harry Lawlor, SJ and Fr. Joseph Veale, SJ
PEANUTS: c United Feature Syndicate, Inc. Reprinted with permission.
We have written this book with several kinds of readers in mind:
(a) Undergraduates who have taken courses such as calculus and linear algebra,
but who are not yet prepared for upper-level mathematics courses. We cover
mathematical topics that these students should know. The book also provides a
bridge to the upper-level courses, since we discuss formalities and conventions
in detail, including the axiomatic method and how to deal with proofs.
(b) Mathematics teachers and teachers-in-training. We present here some of the
foundations of mathematics that anyone teaching mathematics beyond the most


Source: Ardila, Federico - Department of Mathematics, San Francisco State University


Collections: Mathematics