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Combinatorics Through Guided Discovery
Conditions of Use:
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his book is an introduction to combinatorial mathematics, also known as combinatorics. ...

his 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.

Subject:
Mathematics
Functions
Material Type:
Textbook
Provider:
Dartmouth College
Author:
Kenneth Bogart
John Milton Reading Room
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The site, created by Dartmouth Professor of English Thomas H. Luxon, offers ...

The site, created by Dartmouth Professor of English Thomas H. Luxon, offers annotated versions of a number of Milton poems including Paradise Lost, Paradise Regain’d and Samson Agonistes.

Subject:
Arts and Humanities
Philosophy
Education
Political Science
Material Type:
Reading
Provider:
Dartmouth College
Internet Scout Project
Author:
Thomas H. Luxon
Layoff
Conditions of Use:
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LAYOFF uses a simple casual game paradigm to comment on the current ...

LAYOFF uses a simple casual game paradigm to comment on the current state of the US financial crisis. Both friends and strangers face tough times in an unstable economy. Part dark humor, part grim portent, in the game players play from the side of management needing to cut jobs, and match types of workers in groups in order to lay the workers off and increase workforce efficiency.

Subject:
Arts and Humanities
Business and Communication
Economics
Material Type:
Game
Provider:
Dartmouth College
Provider Set:
Tiltfactor