By Pemmaraju S., Skiena S.
ISBN-10: 0521806860
ISBN-13: 9780521806862
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Extra resources for Discrete mathematics: combinatorics and graph theory with Mathematica
Example text
Many people have helped us over this period, and here we wish to thank those who have affected the third edition. First we thank our publishers, Alice and Klaus Peters, for their belief in our book. For their prompt and careful work, we also thank the following A K Peters staff: Charlotte Henderson, Jonathan Peters, Michelle Peters, Susannah Sieper, and Darren Wotherspoon. Instructor’s Preface xiii Next we thank the many other people who have helped us with comments, suggestions and corrections at various stages of preparation for the third edition: Stephen Altschul, Dane Camp, Garikai Campbell, Richard Duke, David Flesner, Joseph Halpern, Charles Kelemen, David Kincaid, Paul Klingsberg, Harris Kwong, David Levine, Udi Manber, Malcolm Mason, Jayadev Misra, Paul Rablen, Pyi Soe, Diane Spresser, and Paul Stockmeyer.
Second, we go to great lengths to explain to students how to do it both how to discover the induction and how to write it up. Third, a reading knowledge of induction is absolutely necessary for the text, as induction is the foremost method of solution and proof in discrete mathematics. While the purpose of this chapter has not changed since earlier editions, the material is now organized quite differently. For clarity, and for those who don’t like algorithms as much as we do, the material on induction and algorithms is now in xvii xviii Chapter Summaries separate sections.
Of course, options between these two extremes are possible. We’d be interested to hear what works for you. Problem Difficulty Rating It is often hard to judge the difficulty of a problem in discrete mathematics just by reading it. In part this is because it is not always easy to categorize discrete problems, and even when one can, they don’t always have routine solution methods. Therefore we rate problems, from 1 easiest to 5 hardest. The rating appears right after the problem number, in angular brackets.
Discrete mathematics: combinatorics and graph theory with Mathematica by Pemmaraju S., Skiena S.
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