A K Peters/CRC Press
Published June 21, 2012
Textbook - 580 Pages
ISBN 9781466504998 - CAT# K14547
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Containing exercises and materials that engage students at all levels, Discrete Mathematics with Ducks presents a gentle introduction for students who find the proofs and abstractions of mathematics challenging. This classroom-tested text uses discrete mathematics as the context for introducing proofwriting.
Facilitating effective and active learning, each chapter contains a mixture of discovery activities, expository text, in-class exercises, and homework problems.
Discrete Mathematics with Ducks offers students a diverse introduction to the field and a solid foundation for further study in discrete mathematics and complies with SIGCSE guidelines. The book shows how combinatorics and graph theory are used in both computer science and mathematics.
Counting and Proofs
Introduction and Summary
Try This! Let’s Count
The Sum and Product Principles
Preliminaries on Proofs and Disproofs
Pigeons and Correspondences
Where to Go from Here
Sets and Logic
Graphs and Functions
Algorithms with Ciphers
Binomial Coefficients and Pascal’s Triangle
Balls and Boxes and PIE—Counting Techniques
Cutting up Food (Counting and Geometry)
Euler’s Formula and Applications
Probability and Expectation
Fun with Cardinality
Solutions to Check Yourself Problems
The Greek Alphabet and Some Uses for Some Letters
List of Symbols
Problems and Instructor Notes appear at the end of each chapter.
This book can certainly be used to teach the standard course in discrete mathematics designed for computer science majors. The lighter touch of duck references does amuse you and does not ever overshadow or disguise the mathematical concepts.
—Charles Ashbacher, MAA Reviews, August 2012
When I used Discrete Mathematics with Ducks in class, I assigned readings, and my students came to class full of questions and ideas. Every day we had a good time in one way or another; these classes were a highlight of my teaching career. I give a lot of credit to this book, thanks to the author's skill at blending rigor, great examples, casual humor, and precise writing.
—David Perkins, author of Calculus and Its Origins
I had a lot of fun teaching from Discrete Mathematics with Ducks! ... I think the discovery/exploratory/problem solving approach is ABSOLUTELY the way this course should be taught, and of all the discrete books I have looked at, this text does the best job of supporting that kind of approach to the subject while still giving enough of the material in writing to fill in the gaps. ... I found that the material provided and the instructor notes cut down on my prep time, and I definitely referred to them. Having the in-class activities included is a huge benefit to this book.
—Dana Rowland, Associate Professor of Mathematics, Merrimack College
... an incredible book ... readable by students, useful for instructors, and constructed with style and flair. This book will make it much easier to teach an exciting, student-centered discrete mathematics course that will also serve as an excellent introduction to advanced critical thinking, problem solving, and proofs. And there are ducks!
—Douglas Shaw, Professor of Mathematics, University of Northern Iowa
|September 28, 2016||Instructor Resources||
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