Pearls of discrete mathematics:
Pearls of Discrete Mathematics presents methods for solving counting problems and other types of problems that involve discrete structures. Through intriguing examples, problems, theorems, and proofs, the book illustrates the relationship of these structures to algebra, geometry, number theory, and...
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Boca Raton [u.a.]
CRC Press
2010
|
| Series: | Discrete mathematics and its applications
A Chapman & Hall book |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Summary: | Pearls of Discrete Mathematics presents methods for solving counting problems and other types of problems that involve discrete structures. Through intriguing examples, problems, theorems, and proofs, the book illustrates the relationship of these structures to algebra, geometry, number theory, and combinatorics. --from publisher description |
| Item Description: | Includes bibliographical references and index |
| Physical Description: | X, 270 S. graph. Darst. |
| ISBN: | 9781439816165 |
Staff View
MARC
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| 520 | 3 | |a Pearls of Discrete Mathematics presents methods for solving counting problems and other types of problems that involve discrete structures. Through intriguing examples, problems, theorems, and proofs, the book illustrates the relationship of these structures to algebra, geometry, number theory, and combinatorics. --from publisher description | |
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Record in the Search Index
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|---|---|
| adam_text | Contents
I Counting: Basic
1
1
Subsets of a Set
3
2
Pascal s Triangle
5
3
Binomial Coefficient Identities
11
II Counting: Intermediate
19
4
Finding a Polynomial
21
5
The Upward-Extended Pascal s Triangle
25
6
Recurrence Relations and Fibonacci Numbers
27
III Counting: Advanced
37
7
Generating Functions and Making Change
39
8
Integer Triangles
49
9
Rook Paths and Queen Paths
53
IV Discrete Probability
65
10
Probability Spaces and Distributions
67
11
Markov Chains
81
12
Random Tournaments
91
V Number Theory
95
13
Divisibility of Factorials and Binomial Coefficients
97
14
Covering Systems
103
15
Partitions
of an Integer
109
VI Information Theory
121
16
What Is Surprise?
123
17
A Coin-Tossing Game
133
18
Shannon s Theorems
139
VII
Games
153
19
A Little Graph Theory Background
155
20
The Ramsey Game
165
21
Tic-Tac-Toe and Animal Games
173
VIII
Algorithms
181
22
Counters
183
23
Listing Permutations and Combinations
187
24
Sudoku Solving and Polycube Packing
193
A Hints and Solutions to Exercises
201
В
Notation
259
Bibliography
261
Index
263
|
| any_adam_object | 1 |
| author | Erickson, Martin J. 1963-2013 |
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| callnumber-subject | QA - Mathematics |
| classification_rvk | SK 110 SK 890 |
| ctrlnum | (OCoLC)317928077 (DE-599)BVBBV035810453 |
| dewey-full | 511/.1 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 511 - General principles of mathematics |
| dewey-raw | 511/.1 |
| dewey-search | 511/.1 |
| dewey-sort | 3511 11 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| illustrated | Illustrated |
| indexdate | 2024-07-09T22:05:07Z |
| institution | BVB |
| isbn | 9781439816165 |
| language | English |
| lccn | 2009027565 |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-018669386 |
| oclc_num | 317928077 |
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| physical | X, 270 S. graph. Darst. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | CRC Press |
| record_format | marc |
| series2 | Discrete mathematics and its applications A Chapman & Hall book |
| spelling | Erickson, Martin J. 1963-2013 Verfasser (DE-588)139664181 aut Pearls of discrete mathematics Martin Erickson Boca Raton [u.a.] CRC Press 2010 X, 270 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Discrete mathematics and its applications A Chapman & Hall book Includes bibliographical references and index Pearls of Discrete Mathematics presents methods for solving counting problems and other types of problems that involve discrete structures. Through intriguing examples, problems, theorems, and proofs, the book illustrates the relationship of these structures to algebra, geometry, number theory, and combinatorics. --from publisher description Combinatorial analysis Graph theory Number theory Diskrete Mathematik (DE-588)4129143-8 gnd rswk-swf (DE-588)4123623-3 Lehrbuch gnd-content Diskrete Mathematik (DE-588)4129143-8 s DE-604 Digitalisierung UB Bayreuth application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018669386&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Erickson, Martin J. 1963-2013 Pearls of discrete mathematics Combinatorial analysis Graph theory Number theory Diskrete Mathematik (DE-588)4129143-8 gnd |
| subject_GND | (DE-588)4129143-8 (DE-588)4123623-3 |
| title | Pearls of discrete mathematics |
| title_auth | Pearls of discrete mathematics |
| title_exact_search | Pearls of discrete mathematics |
| title_full | Pearls of discrete mathematics Martin Erickson |
| title_fullStr | Pearls of discrete mathematics Martin Erickson |
| title_full_unstemmed | Pearls of discrete mathematics Martin Erickson |
| title_short | Pearls of discrete mathematics |
| title_sort | pearls of discrete mathematics |
| topic | Combinatorial analysis Graph theory Number theory Diskrete Mathematik (DE-588)4129143-8 gnd |
| topic_facet | Combinatorial analysis Graph theory Number theory Diskrete Mathematik Lehrbuch |
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