Student Handbook for Discrete Mathematics with Ducks : SRRSLEH book cover
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Student Handbook for Discrete Mathematics with Ducks
SRRSLEH





ISBN 9781498714044
Published August 5, 2015 by A K Peters/CRC Press
208 Pages - 59 B/W Illustrations

 
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Book Description

Student Handbook for Discrete Mathematics with Ducks is a Student Reference, Review, Supplemental Learning, and Example Handbook (SRRSLEH) that mirrors the content of the author’s popular textbook Discrete Mathematics with Ducks (DMwD). This handbook provides a review of key material, illustrative examples, and new problems with accompanying solutions that are helpful even for those using a traditional discrete mathematics textbook.

Every chapter in SRRSLEH matches the corresponding chapter of DMwD. Chapters in SRRSLEH contain the following:

  • A list of the notation introduced in the corresponding chapter
  • A list of definitions that students need to know from the corresponding chapter
  • Theorems/facts of note appearing in the corresponding chapter
  • A list of proof techniques introduced, with templates and/or examples given for each one
  • A selection of examples from DMwD, written out formally and briefly rather than colloquially as in DMwD

A quick refresher for any discrete math student, this handbook enables students to find information easily and reminds them of the terms and results they should know during their course.

Read reviews of DMwD.

Table of Contents

THE BASICS
Counting and Proofs
Definitions and Notation
Facts and Theorems
Proof Techniques: Direct Proof and Pigeonhole Tips
Some Straightforward Examples
More Problems
More Solutions

Sets and Logic
Definitions and Notation
Facts and Theorems
Proof Techniques: Double-Inclusion, Biconditionals (⇐⇒s), Proving the Contrapositive, and Proof by Contradiction
Some Straightforward Examples
More Problems
More Solutions

Graphs and Functions
Definitions and Notation
Facts and Theorems
Some Straightforward Examples
More Problems
More Solutions

Induction
Definitions and Notation
Facts and Theorems
Proof Techniques: Induction (How Surprising!)
Some Straightforward Examples
More Problems
More Solutions

Algorithms with Ciphers
Definitions and Notation
Facts and Theorems
Some Straightforward Examples
More Problems
More Solutions

COMBINATORICS
Binomial Coefficients and Pascal’s Triangle
Definitions and Notation
Facts and Theorems
Proof Techniques: Overcounting Carefully and Combinatorial Proof
Some Straightforward Examples
More Problems
More Solutions

Balls and Boxes and PIE: Counting Techniques
Definitions and Notation
Facts and Theorems
Some Straightforward Examples
More Problems
More Solutions

Recurrences
Definitions and Notation
Facts and Theorems
Proof Techniques: Showing a Closed Form for a Recurrence Is Correct
Some Straightforward Examples
More Problems
More Solutions

Cutting Up Food: Counting and Geometry
Definitions and Notation
Facts and Theorems
More Problems
More Solutions

GRAPH THEORY
Trees
Definitions and Notation
Facts and Theorems
Some Straightforward Examples
More Problems
More Solutions

Euler’s Formula and Applications
Definitions and Notation
Facts and Theorems
Some Straightforward Examples
More Problems
More Solutions

Graph Traversals
Definitions and Notation
Facts and Theorems
Some Straightforward Examples
More Problems
More Solutions

Graph Coloring
Definitions and Notation
Facts and Theorems
Some Straightforward Examples
More Problems
More Solutions

OTHER MATERIAL
Probability and Expectation
Definitions and Notation
Facts and Theorems
Some Straightforward Examples
More Problems
More Solutions

Fun with Cardinality
Definitions and Notation
Facts and Theorems
Some Straightforward Examples
More Problems
More Solutions

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