Elementary Abstract Algebra Examples and Applications
This book is not intended for budding mathematicians. It was created for a math program in which most of the students in upper-level math classes are planning to become secondary school teachers. For such students, conventional abstract algebra texts are practically incomprehensible, both in style a...
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| Other Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Killeen, Texas
Justin Hill and Chris Thron
2019.
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| Series: | Open textbook library.
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| Subjects: | |
| Online Access: | Access online version |
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| LEADER | 00000nam a2200000 i 4500 | ||
|---|---|---|---|
| 001 | OTLid0000850 | ||
| 003 | MnU | ||
| 005 | 20240122145216.0 | ||
| 006 | m o d s | ||
| 007 | cr | ||
| 008 | 200627s2019 mnu o 0 0 eng d | ||
| 020 | |a 9780359042111 | ||
| 040 | |a MnU |b eng |c MnU | ||
| 050 | 4 | |a QA37.3 | |
| 050 | 4 | |a QA150-272.5 | |
| 245 | 0 | 0 | |a Elementary Abstract Algebra |b Examples and Applications |c Justin Hill |
| 264 | 2 | |a Minneapolis, MN |b Open Textbook Library | |
| 264 | 1 | |a Killeen, Texas |b Justin Hill and Chris Thron |c 2019. | |
| 264 | 4 | |c ©2019. | |
| 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 1 Preliminaries -- 2 Complex Numbers -- 3 Modular Arithmetic -- 4 Modular Arithmetic, Decimals, and Divisibility -- 5 Set Theory -- 6 Functions: Basic Concepts -- 7 Introduction to Cryptography -- 8 Sigma Notation -- 9 Polynomials -- 10 Symmetries of Plane Figures -- 11 Permutations -- 12 Introduction to Groups -- 13 Further Topics in Cryptography -- 14 Equivalence Relations and Equivalence Classes -- 15 Cosets and Quotient Groups (a.k.a. Factor Groups) -- 16 Error-Detecting and Correcting Codes -- 17 Isomorphisms of Groups -- 18 Homomorphisms of Groups -- 19 Group Actions -- 20 Introduction to Rings and Fields | |
| 520 | 0 | |a This book is not intended for budding mathematicians. It was created for a math program in which most of the students in upper-level math classes are planning to become secondary school teachers. For such students, conventional abstract algebra texts are practically incomprehensible, both in style and in content. Faced with this situation, we decided to create a book that our students could actually read for themselves. In this way we have been able to dedicate class time to problem-solving and personal interaction rather than rehashing the same material in lecture format. | |
| 542 | 1 | |f Attribution-NonCommercial-ShareAlike | |
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on print resource | |
| 650 | 0 | |a Mathematics |v Textbooks | |
| 650 | 0 | |a Algebra |v Textbooks | |
| 700 | 1 | |a Hill, Justin |e editor | |
| 700 | 1 | |a Thron, Chris |e editor | |
| 710 | 2 | |a Open Textbook Library |e distributor | |
| 856 | 4 | 0 | |u https://open.umn.edu/opentextbooks/textbooks/850 |z Access online version |