Proofs and Concepts The Fundamentals of Abstract Mathematics
This free undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. It is designed to be the textbook for a bridge course that introduces undergraduates to abstract mathematics, but it is also suitable for independent stu...
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| Main Authors: | , |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Lethbridge, Alberta
Dave Witte Morris, Joy Morris
[2013]
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| Series: | Open textbook library.
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| Subjects: | |
| Online Access: | Access online version |
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| 040 | |a MnU |b eng |c MnU | ||
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| 100 | 1 | |a Morris, Dave Witte |e author | |
| 245 | 0 | 0 | |a Proofs and Concepts |b The Fundamentals of Abstract Mathematics |c Dave Morris |
| 264 | 2 | |a Minneapolis, MN |b Open Textbook Library | |
| 264 | 1 | |a Lethbridge, Alberta |b Dave Witte Morris, Joy Morris |c [2013] | |
| 264 | 4 | |c ©2013. | |
| 300 | |a 1 online resource | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 0 | |a Open textbook library. | |
| 505 | 0 | |a Part I. Introduction to Logic and Proofs -- 1. What is Logic? -- 2. Propositional Logic -- 3. Two-Column Proofs -- Part II. Sets and First-Order Logic -- 4. Sets, Subsets, and Predicates -- 5. Operations on Sets -- 6. First-Order Logic -- 7. Quantifier Proofs -- 8. Divisibility and Congruence -- Part III. Other Fundamental Concepts -- 9. Functions -- 10. Cardinality -- 11. Proof by Induction -- 12. Equivalence Relations | |
| 520 | 0 | |a This free undergraduate textbook provides an introduction to proofs, logic, sets, functions, and other fundamental topics of abstract mathematics. It is designed to be the textbook for a bridge course that introduces undergraduates to abstract mathematics, but it is also suitable for independent study by undergraduates (or mathematically mature high-school students), or for use as a very inexpensive supplement to undergraduate courses in any field of abstract mathematics. | |
| 542 | 1 | |f Attribution-NonCommercial-ShareAlike | |
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on print resource | |
| 650 | 0 | |a Mathematics |v Textbooks | |
| 700 | 1 | |a Morris, Joy |e author | |
| 710 | 2 | |a Open Textbook Library |e distributor | |
| 856 | 4 | 0 | |u https://open.umn.edu/opentextbooks/textbooks/395 |z Access online version |