MARC details
| 000 -LEADER |
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| fixed length control field |
03363nam a2200361 4500 |
| 001 - CONTROL NUMBER |
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| control field |
OTLid0000182 |
| 003 - CONTROL NUMBER IDENTIFIER |
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| control field |
MnU |
| 005 - DATE AND TIME OF LATEST TRANSACTION |
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| control field |
20201105133302.0 |
| 006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS |
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| fixed length control field |
m o d s |
| 008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
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| fixed length control field |
180907s2004 mnu o 0 0 eng d |
| 040 ## - CATALOGING SOURCE |
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| Original cataloging agency |
MnU |
| Language of cataloging |
eng |
| Transcribing agency |
MnU |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA1 |
| 050 #4 - LIBRARY OF CONGRESS CALL NUMBER |
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| Classification number |
QA37.3 |
| 100 1# - MAIN ENTRY--PERSONAL NAME |
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| Personal name |
Bogart, Kenneth P. |
| Relator term |
author |
| 245 00 - TITLE STATEMENT |
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| Title |
Combinatorics Through Guided Discovery |
| Statement of responsibility, etc. |
Kenneth Bogart |
| 264 #2 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
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| Name of producer, publisher, distributor, manufacturer |
Open Textbook Library |
| 264 #1 - PRODUCTION, PUBLICATION, DISTRIBUTION, MANUFACTURE, AND COPYRIGHT NOTICE |
|---|
| Name of producer, publisher, distributor, manufacturer |
Kenneth P. Bogart |
| 300 ## - PHYSICAL DESCRIPTION |
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| Extent |
1 online resource |
| 490 0# - SERIES STATEMENT |
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| Series statement |
Open textbook library. |
| 505 0# - FORMATTED CONTENTS NOTE |
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| Formatted contents note |
1 What is Combinatorics? -- 2 Applications of Induction and Recursion in Combinatorics and Graph Theory -- 3 Distribution Problems -- 4 Generating Functions -- 5 The Principle of Inclusion and Exclusion -- 6 Groups Acting on Sets |
| 520 0# - SUMMARY, ETC. |
|---|
| Summary, etc. |
This book is an introduction to combinatorial mathematics, also known as combinatorics. The book focuses especially but not exclusively on the part of combinatorics that mathematicians refer to as "counting." The book consists almost entirely of problems. Some of the problems are designed to lead you to think about a concept, others are designed to help you figure out a concept and state a theorem about it, while still others ask you to prove the theorem. Other problems give you a chance to use a theorem you have proved. From time to time there is a discussion that pulls together some of the things you have learned or introduces a new idea for you to work with. Many of the problems are designed to build up your intuition for how combinatorial mathematics works. There are problems that some people will solve quickly, and there are problems that will take days of thought for everyone. Probably the best way to use this book is to work on a problem until you feel you are not making progress and then go on to the next one. Think about the problem you couldn't get as you do other things. The next chance you get, discuss the problem you are stymied on with other members of the class. Often you will all feel you've hit dead ends, but when you begin comparing notes and listening carefully to each other, you will see more than one approach to the problem and be able to make some progress. In fact, after comparing notes you may realize that there is more than one way to interpret the problem. In this case your first step should be to think together about what the problem is actually asking you to do. You may have learned in school that for every problem you are given, there is a method that has already been taught to you, and you are supposed to figure out which method applies and apply it. That is not the case here. Based on some simplified examples, you will discover the method for yourself. Later on, you may recognize a pattern that suggests you should try to use this method again. |
| 542 1# - INFORMATION RELATING TO COPYRIGHT STATUS |
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| Copyright statement |
Free Documentation License (GNU) |
| 546 ## - LANGUAGE NOTE |
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| Language note |
In English. |
| 588 0# - SOURCE OF DESCRIPTION NOTE |
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| Source of description note |
Description based on print resource |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Mathematics |
| Form subdivision |
Textbooks |
| 650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM |
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| Topical term or geographic name entry element |
Applied mathematics |
| Form subdivision |
Textbooks |
| 710 2# - ADDED ENTRY--CORPORATE NAME |
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| Corporate name or jurisdiction name as entry element |
Open Textbook Library |
| Relator term |
distributor |
| 856 40 - ELECTRONIC LOCATION AND ACCESS |
|---|
| Uniform Resource Identifier |
<a href="https://open.umn.edu/opentextbooks/textbooks/182">https://open.umn.edu/opentextbooks/textbooks/182</a> |
| Public note |
Access online version |
