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E-raamat: Student Handbook for Discrete Mathematics with Ducks: SRRSLEH

(Smith College, Northampton, Massachusetts, USA)
  • Formaat: 208 pages
  • Ilmumisaeg: 28-Jul-2015
  • Kirjastus: Productivity Press
  • Keel: eng
  • ISBN-13: 9781040071168
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Student Handbook for Discrete Mathematics with Ducks: SRRSLEHSuurem pilt
  • Formaat: 208 pages
  • Ilmumisaeg: 28-Jul-2015
  • Kirjastus: Productivity Press
  • Keel: eng
  • ISBN-13: 9781040071168
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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 textbookDiscrete 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.

Preface for... Everyone! xiii
1 What's This All About?
xiii
2 How SRRSLEH Is Organized, and How You Should Use It
xiv
Acknowledgments xvii
I Theme: The Basics 1(112)
1 Counting and Proofs
3(12)
1.1
Chapter 1 Definitions and Notation
3(1)
1.1.1 Notation
3(1)
1.1.2 Definitions
3(1)
1.2
Chapter 1 Facts and Theorems
4(1)
1.3
Chapter 1 Proof Techniques: Direct Proof and Pigeon-hole Tips
5(1)
1.4 Some Straightforward Examples of
Chapter 1 Ideas
6(1)
1.5 More Problems for
Chapter 1
7(3)
1.6 More Solutions for
Chapter 1
10(5)
2 Sets and Logic
15(98)
2.1
Chapter 2 Definitions and Notation
15(3)
2.1.1 Notation
15(1)
2.1.2 Definitions
16(2)
2.2
Chapter 2 Facts and Theorems
18(2)
2.3
Chapter 2 Proof Techniques: Double-Inclusion, Biconditionals (<=>s), Proving the Contrapositive, and Proof by Contradiction
20(93)
III Theme: Graph Theory 113(50)
10 Trees
115(14)
10.1
Chapter 10 Definitions and Notation
115(1)
10.1.1 Definitions
115(1)
10.2
Chapter 10 Facts and Theorems
116(3)
10.3 Some Straightforward Examples of
Chapter 10 Ideas
119(2)
10.4 More Problems for
Chapter 10
121(2)
10.5 More Solutions for
Chapter 10
123(6)
11 Euler's Formula and Applications
129(10)
11.1
Chapter 11 Definitions and Notation
129(1)
11.1.1 Notation
129(1)
11.1.2 Definitions
129(1)
11.2
Chapter 11 Facts and Theorems
130(1)
11.3 Some Straightforward Examples of
Chapter 11 Ideas
131(1)
11.4 More Problems for
Chapter 11
132(2)
11.5 More Solutions for
Chapter 11
134(5)
12 Graph Traversals
139(12)
12.1
Chapter 12 Definitions and Notation
139(1)
12.1.1 Definitions
139(1)
12.2
Chapter 12 Facts and Theorems
140(1)
12.3 Some Straightforward Examples of
Chapter 12 Ideas
141(1)
12.4 More Problems for
Chapter 12
141(4)
12.5 More Solutions for
Chapter 12
145(6)
13 Graph Coloring
151(12)
13.1
Chapter 13 Definitions and Notation
151(1)
13.1.1 Notation
151(1)
13.1.2 Definitions
151(1)
13.2
Chapter 13 Facts and Theorems
152(1)
13.3 Some Straightforward Examples of
Chapter 13 Ideas
153(2)
13.4 More Problems for
Chapter 13
155(2)
13.5 More Solutions for
Chapter 13
157(6)
IV Other Material 163
14 Probability and Expectation
165(18)
14.1
Chapter 14 Definitions and Notation
165(2)
14.1.1 Notation
165(1)
14.1.2 Definitions
165(2)
14.2
Chapter 14 Facts and Theorems
167(1)
14.3 Some Straightforward Examples of
Chapter 14 Ideas
168(2)
14.4 More Problems for
Chapter 14
170(4)
14.5 More Solutions for
Chapter 14
174(9)
15 Fun with Cardinality
183
15.1
Chapter 15 Definitions and Notation
183(1)
15.1.1 Notation
183(1)
15.1.2 Definitions
183(1)
15.2
Chapter 15 Facts and Theorems
184(1)
15.3 Some Straightforward Examples of
Chapter 15 Ideas
185(1)
15.4 More Problems for
Chapter 15
185(2)
15.5 More Solutions for
Chapter 15
187
sarah-marie belcastro
Lisainfo e-raamatute kohta Lisainfo e-raamatute kohta
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