Discrete Mathematics An Open Introduction
Discrete Mathematics: An Open Introduction is a free, open source textbook appropriate for a first or second year undergraduate course for math majors, especially those who will go on to teach. The textbook has been developed while teaching the Discrete Mathematics course at the University of Northe...
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Greeley, CO
Oscar Levin
[2016]
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| Edition: | 3rd Edition |
| Series: | Open textbook library.
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| Subjects: | |
| Online Access: | Access online version |
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| 100 | 1 | |a Levin, Oscar |e author | |
| 245 | 0 | 0 | |a Discrete Mathematics |b An Open Introduction |c Oscar Levin |
| 250 | |a 3rd Edition | ||
| 264 | 2 | |a Minneapolis, MN |b Open Textbook Library | |
| 264 | 1 | |a Greeley, CO |b Oscar Levin |c [2016] | |
| 264 | 4 | |c ©2016. | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
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| 490 | 0 | |a Open textbook library. | |
| 505 | 0 | |a 0 Introduction and Preliminaries 1 -- 0.1 What is Discrete Mathematics? -- 0.2 Mathematical Statements -- 0.3 Sets -- 1 Counting -- 1.1 Additive and Multiplicative Principles -- 1.2 Binomial Coefficients -- 1.3 Combinations and Permutations -- 1.4 Combinatorial Proofs -- 1.5 Stars and Bars -- 1.6 Advanced Counting Using PIE -- 1.7 Chapter Summary -- 2 Sequences -- 2.1 Definitions -- 2.2 Arithmetic and Geometric Sequences -- 2.3 Polynomial Fitting -- 2.4 Solving Recurrence Relations -- 2.5 Induction -- 2.6 Chapter Summary -- 3 Symbolic Logic and Proofs -- 3.1 Propositional Logic -- 3.2 Proofs -- 3.3 Chapter Summary -- 4 Graph Theory -- 4.1 Definitions -- 4.2 Trees -- 4.3 Planar Graphs -- 4.4 Coloring -- 4.5 Euler Paths and Circuits -- 4.6 Matching in Bipartite Graphs -- 4.7 Chapter Summary -- 5 Additional Topics -- 5.1 Generating Functions -- 5.2 Introduction to Number Theory | |
| 520 | 0 | |a Discrete Mathematics: An Open Introduction is a free, open source textbook appropriate for a first or second year undergraduate course for math majors, especially those who will go on to teach. The textbook has been developed while teaching the Discrete Mathematics course at the University of Northern Colorado. Primitive versions were used as the primary textbook for that course since Spring 2013, and have been used by other instructors as a free additional resource. Since then it has been used as the primary text for this course at UNC, as well as at other institutions. | |
| 542 | 1 | |f Attribution-ShareAlike | |
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on print resource | |
| 650 | 0 | |a Mathematics |v Textbooks | |
| 710 | 2 | |a Open Textbook Library |e distributor | |
| 856 | 4 | 0 | |u https://open.umn.edu/opentextbooks/textbooks/394 |z Access online version |