2000, ISBN: 020143721X
ID: 14097648066
[EAN: 9780201437218], [PU: Pearson], Mathematics|Algebra|Abstract, Mathematics|Algebra|General, This Book is in Good Condition. Clean Copy With Light Amount of Wear. 100% Guaranteed. Summary: Introduction, Biography: Al-Kwharizmi. I. PRELIMINARIES. 1. Properties of the Integers, Biography: Augustus de Morgan. 2. Solving Cubic and Quartic Polynomial Equations, Historical Note: How the Cubic and Quartic Equations were Solved. 3. Complex Numbers. Historical Note: Highlights in the Development of the Complex Numbers. 4. Some Other Examples, Biography: William Rowan Hamilton. II. ALGEBRAIC EXTENSION FIELDS. 5. Fields. 6. Solvability by Radicals, Biography: Niels Henrik Abel. 7. Rings. 8. Ways in Which Polynomials Are Like the Integers, Biography: Julia Robinson. 9. Principal Ideals, Biography: Emmy Noether. 10. Algebraic Elements. 11. Eisenstein's Irreducibility Criterion, Biography: Gotthold Eisenstein. 12. Extension Fields as Vector Spaces. 13. Automorphisms of Fields, Biography: Evariste Galois. 14. Counting Automorphisms, Biography: Richard Dedekind. III. ELEMENTARY GROUP THEORY. 15. Groups, Biography: Walther von Dyck. 16. Permutation Groups. 17. Group Homomorphisms, Biography: Arthur Cayley. 18. Subgroups. 19. Subgroups Generated by Subsets. 20. Cosets. 21. Finite Groups and Lagrange's Theorem, Biography: Joseph Louis Lagrange. 22. Equivalence Relations and Cauchy's Theorem, Biography: Augustin-Louis Cauchy. 23. Normal Subgroups and Quotient Groups, Biography: Otto H"lder. 24. The Homomorphism Theorem for Groups, Biography: B. L. van derWaerden. IV. POLYNOMIAL EQUATIONS NOT SOLVABLE BY RADICALS. 25. Galois Groups of Radical Extensions. 26. Solvable Groups and Commutator Subgroups, Biography: William Burnside. 27. Solvable Galois Groups. 28. Polynomial Equations Not Solvable by Radicals, Biography: Paolo Ruffini. V. FINITE GROUPS. 29. Finite External Direct Products of Groups, Biography: J. H. M. Wedderburn. 30. Finite Internal Direct Products of Groups. 31. Abelian Groups with Prime Power Order. 32. The Fundamental Theorem of Finite Abelian Groups, Biography: Leopold Kronecker. 33. Dihedral Groups, Biography: Felix Klein. 34. Cauchy's Theorem. 35. The Sylow Theorems, Biography: Peter Ludvig Sylow. 36. Groups of Order Less than 16. 37. Groups of Even Permuatations, Biography: Camille Jordan. 38. Semidirect Products. APPENDICES. A. The Greek Alphabet. B. Proving Theorems, Biography: George Boole. C. Vector Spaces over Fields. D. Constructions with Straightedge and Compass.
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ISBN: 9780201437218
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This is a new text for the Abstract Algebra course. The author has written this text with a unique, yet historical, approach: solvability by radicals. This approach depends on a fields-first organization. However, professors wishing to commence their course with group theory will find that the Table of Contents is highly flexible, and contains a generous amount of group coverage. *Fields-first approach. Unique approach to subject matters, allows instructor to cover groups, rings and fields in one semester. *Flexible Table of Contents. Allows professors to teach the material in a traditional way, Groups-first. *Proof Technique Appendix. Offers tips and techniques to students to improve their proof writing skills. *Exercise sets. Large quantity of exercises for professors to choose from, with a varying degree of difficulty. *Historical perspective. Interesting, timely biographies of mathematicians. , libri, Kartoniert / Broschiert
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ISBN: 9780201437218
[ED: Taschenbuch], [PU: ADDISON WESLEY PUB CO INC], This is a new text for the Abstract Algebra course. The author has written this text with a unique, yet historical, approach: solvability by radicals. This approach depends on a fields-first organization. However, professors wishing to commence their course with group theory will find that the Table of Contents is highly flexible, and contains a generous amount of group coverage. *Fields-first approach. Unique approach to subject matters, allows instructor to cover groups, rings and fields in one semester. *Flexible Table of Contents. Allows professors to teach the material in a traditional way, Groups-first. *Proof Technique Appendix. Offers tips and techniques to students to improve their proof writing skills. *Exercise sets. Large quantity of exercises for professors to choose from, with a varying degree of difficulty. *Historical perspective. Interesting, timely biographies of mathematicians. Versandfertig in 6-10 Tagen, [SC: 0.00]
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ISBN: 020143721X
ID: 3059126
This is a new text for the Abstract Algebra course. The author has written this text with a unique, yet historical, approach: solvability by radicals. This approach depends on a fields-first organization. However, professors wishing to commence their course with group theory will find that the Table of Contents is highly flexible, and contains a generous amount of group coverage. algebra and trigonometry,education and reference,mathematics,science and math,science and math,textbooks Mathematics, Pearson
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2000, ISBN: 020143721X
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020143721X Good, Good condition item with wear and markings. Ex-library. Looks like an interesting title! We ship daily, provide personalized customer service and want you to have a great experience purchasing from us. Thank you for your consideration. Paperback, [Varia], Addison Wesley 2000-10-28
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Title: | Abstract Algebra: A Concrete Introduction |
ISBN: | 020143721X |
Details of the book - Abstract Algebra: A Concrete Introduction
EAN (ISBN-13): 9780201437218
ISBN (ISBN-10): 020143721X
Hardcover
Paperback
Publishing year: 2000
Publisher: ADDISON WESLEY PUB CO INC
512 Pages
Weight: 0,799 kg
Language: eng/Englisch
Book in our database since 23.05.2007 04:47:17
Book found last time on 08.06.2016 18:32:49
ISBN/EAN: 020143721X
ISBN - alternate spelling:
0-201-43721-X, 978-0-201-43721-8
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