Sarah-Marie Belcastro

Discrete Mathematics with Ducks (eBook, PDF)

• Format: PDF

Produktbeschreibung

Discrete Mathematics with Ducks is a gentle introduction for students who find the proofs and abstractions of mathematics challenging. At the same time, it provides stimulating material, which instructors can use for more advanced students. The new edition continues to facilitate effective and active learning through problem-based activities.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 700
• Erscheinungstermin: 15. November 2018
• Englisch
• ISBN-13: 9781351683692
• Artikelnr.: 54667832

Autorenporträt

sarah-marie belcastro is a free-range mathematician who works primarily in topological graph theory. She enjoys connecting people to each other, connecting ideas to each other, and connecting people to ideas. Among her many non-pure-mathematics interests are the mathematics of knitting, pharmacokinetics, dance (principally ballet and modern), and changing the world. sarah-marie did her undergraduate work at Haverford College and her Ph.D. at the University of Michigan. She currently directs the summer program MathILy.

Inhaltsangabe

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