LEADER 00000cam a2200625Mi 4500 003 OCoLC 005 20240129213017.0 006 m o d 007 cr ||||||||||| 008 180611s2013 fluab ob 001 0 eng d 015 GBB839309|2bnb 016 7 018373228|2Uk 019 990194291 020 0429099991 020 9780429099991 020 1466567082 020 9781466567085 029 1 UKMGB|b018373228 029 1 AU@|b000067556428 035 (OCoLC)1295608568|z(OCoLC)990194291 037 TANDF_282048|bIngram Content Group 040 CZL|beng|erda|cCZL|dNLE|dUKMGB|dOCLCF|dOCLCO|dOCLCQ|dOCLCO |dOCLCQ|dOCLCL 049 INap 082 4 512/.02 082 4 512/.02 099 eBook O'Reilly for Public Libraries 100 1 Hodge, Jonathan K.,|d1980-|eauthor.|1https://id.oclc.org/ worldcat/entity/E39PCjrjqHhgmhctJd4R8FytVd 245 10 Abstract algebra :|ban inquiry based approach /|cby Jonathan K. Hodge, Steven Schlicker and Ted Sundstrom. |h[O'Reilly electronic resource] 250 1st edition. 264 1 Boca Raton, FL :|bChapman and Hall/CRC, an imprint of Taylor and Francis,|c2013. 300 1 online resource (593 p.). 336 text|btxt 337 computer|bc 338 online resource|bcr 347 text file 490 1 Textbooks in Mathematics 500 Description based upon print version of record. 505 0 Front Cover; Contents; Note to Students; Preface; I. The Integers; 1. The Integers: An Introduction; 2. Divisibility of Integers; 3. Greatest Common Divisors; 4. Prime Factorization; II. Other Number Systems; 5. Equivalence Relations and Zn; 6. Algebra in Other Number Systems; III. Rings; 7. An Introduction to Rings; 8. IntegerMultiples and Exponents; 9. Subrings, Extensions, and Direct Sums; 10. Isomorphism and Invariants; IV. Polynomial Rings; 11. Polynomial Rings; 12. Divisibility in Polynomial Rings; 13. Roots, Factors, and Irreducible Polynomials; 14. Irreducible Polynomials 505 8 15. Quotients of Polynomial RingsV. More Ring Theory; 16. Ideals and Homomorphisms; 17. Divisibility and Factorization in Integral Domains; 18. From Z to C; VI. Groups; 19. Symmetry; 20. An Introduction to Groups; 21. Integer Powers of Elements in a Group; 22. Subgroups; 23. Subgroups of Cyclic Groups; 24. The Dihedral Groups; 25. The Symmetric Groups; 26. Cosets and Lagrange's Theorem; 27. Normal Subgroups and Quotient Groups; 28. Products of Groups; 29. Group Isomorphisms and Invariants; 30. Homomorphisms and Isomorphism Theorems; 31. The Fundamental Theorem of Finite Abelian Groups 505 8 32. The First Sylow Theorem33. The Second and Third Sylow Theorems; VII. Special Topics; 34. RSA Encryption; 35. Check Digits; 36. Games: NIM and the 15 Puzzle; 37. Finite Fields, the Group of Units in Zn, and Splitting Fields; 38. Groups of Order 8 and 12: Semidirect Products of Groups; A. Functions; B. Mathematical Induction and theWell-Ordering Principle 520 3 To learn and understand mathematics, students must engage in the process of doing mathematics. Emphasizing active learning, Abstract Algebra: An Inquiry-Based Approach not only teaches abstract algebra but also provides a deeper understanding of what mathematics is, how it is done, and how mathematicians think. 546 English. 588 Description based on print version record. 590 O'Reilly|bO'Reilly Online Learning: Academic/Public Library Edition 650 0 Algebra, Abstract|vTextbooks. 650 7 Algebra, Abstract|2fast 700 1 Schlicker, Steven,|d1958-|eauthor.|1https://id.oclc.org/ worldcat/entity/E39PCjwrKMH3GHYxxKcMGPR3Qq 700 1 Sundstrom, Ted,|eauthor. 776 |z1-4822-2193-4 776 |z1-4665-6706-6 830 0 Textbooks in mathematics (Boca Raton, Fla.) 856 40 |uhttps://ezproxy.naperville-lib.org/login?url=https:// learning.oreilly.com/library/view/~/9781466567085/?ar |zAvailable on O'Reilly for Public Libraries 994 92|bJFN