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Discrete Mathematics with Ducks

sarah-marie belcastro
Publisher: 
Chapman & Hall/CRC
Publication Date: 
2018
Number of Pages: 
657
Format: 
Hardcover
Edition: 
2
Series: 
Textbooks in Mathematics
Price: 
129.95
ISBN: 
9781138052598
Category: 
Textbook
[Reviewed by
Fernando Q. Gouvêa
, on
12/17/2018
]

See Charles Ashbacher’s review of the first edition. There is little information (in the book or on the CRC web page) detailing the changes in this second edition, but the Acknowledgments indicate that the author received and acted on many suggestions. The result is an even better version of a charming book that should work very well as an introductory discrete mathematics textbook.

Fernando Q. Gouvêa is the editor of MAA Reviews. When the author of a mathematics book cites Daniel Pinkwater, it makes him happy.

Preface for Instructors and Other Teachers

Preface for Students and Other Learners

Theme: The Basics

1 Counting and Proofs

2 Sets and Logic

3 Graphics and Functions

4 Induction

5 Algorithms with Ciphers

Theme I Supplement

6 Binomial Coefficients and Pascal’s Triangle

7 Balls and Boxes and PIE: Counting Techniques

8 Recurrences

9 Cutting Up Food: Counting and Geometry

III Theme: Graph Theory

10 Trees

11 Euler’s Formula and Applications

12 Graph Traversals

13 Graph Coloring

Theme III Supplement: Problems on the Theme of Graph Theory

IV Other Material

14 Probability and Expectation

15 Fun with Cardinality

16 Number Theory

17 Computational Complexity

A Solutions to Check Yourself Problems

B Solutions to Bonus Check-Yourself Problems

C The Greek Alphabet and Some Uses for Some Letters

D List of Symbols

Bibliography

Index

Tags: 
Combinatorics
Discrete Mathematics
Transition to Advanced Mathematics