Library Catalogue

Combinatorics Through Guided Discovery (Record no. 38456)

MARC details
000 -LEADER
fixed length control field 03394nam a2200373 i 4500
001 - CONTROL NUMBER
control field OTLid0000182
003 - CONTROL NUMBER IDENTIFIER
control field MnU
005 - DATE AND TIME OF LATEST TRANSACTION
control field 20241120064009.0
006 - FIXED-LENGTH DATA ELEMENTS--ADDITIONAL MATERIAL CHARACTERISTICS--GENERAL INFORMATION
fixed length control field m o d s
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field cr
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field 180907s2004 mnu o 0 0 eng d
040 ## - CATALOGING SOURCE
Original cataloging agency MnU
Language of cataloging eng
Transcribing agency MnU
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA1
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number QA37.3
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name Bogart, Kenneth P.
Relator term author
245 00 - TITLE STATEMENT
Title Combinatorics Through Guided Discovery
Statement of responsibility, etc Kenneth Bogart
264 #2 -
-- Minneapolis, MN
-- Open Textbook Library
264 #1 -
-- Hanover, New Hampshire
-- Kenneth P. Bogart
-- [2004]
264 #4 -
-- ©2004.
300 ## - PHYSICAL DESCRIPTION
Extent 1 online resource
336 ## -
-- text
-- txt
-- rdacontent
337 ## -
-- computer
-- c
-- rdamedia
338 ## -
-- online resource
-- cr
-- rdacarrier
490 0# - SERIES STATEMENT
Series statement Open textbook library.
505 0# - FORMATTED CONTENTS NOTE
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# -
-- Free Documentation License (GNU)
546 ## - LANGUAGE NOTE
Language note In English.
588 0# -
-- Description based on print resource
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Mathematics
Form subdivision Textbooks
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element Applied mathematics
Form subdivision Textbooks
710 2# - ADDED ENTRY--CORPORATE NAME
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

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