![]() ![]() ![]() (7) The notation for images and inverse images of sets under a function, defined in Section 4.2, has been changed from the non-standard notation f∗(P) and f∗(Q) used in the first edition to the standard notation f(P) and f−1(Q), respectively. This new section, which includes a number of attempted proofs taken from actual homework exercises submitted by students, offers the reader the op- portunity to solidify her facility for writing proofs by critiquing these sub- missions as if she were the instructor for the course. (6) A new section called “You Are the Professor” has been added to Chapter 8. ![]() This new section, which treats a topic from real analysis, adds some diversity to Chapter 7, which had hitherto contained selected topics of only an algebraic or combinatorial nature. (5) A new section about the convergence of sequences has been added to Chap- ter 7. ![]()
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