ENGLISH

Abstract Algebra [corrected scan]

By David M. Burton

Book information

Publisher
Wm. C. Brown
Year
1988
ISBN
0697067610
Language
english
Format
PDF
Filesize
28 MB (29494594 bytes)
Pages
489+vi\498
Topic
Mathematics Algebra
Time added
2022-05-08 20:31:21

Description

Title Contents Preface 1. Preliminary Notions 1.1. The algebra of sets 1.2. Functions and relations 1.3. Elementary number theory 2. Group Theory 2.1. Arthur Cayley 2.2. Definition and examples of groups 2.3. Certain elementary theorems on groups 2.4. Two important groups 2.5. Subgroups 2.6. Normal subgroups and quotient groups 2.7. Homomorphisms 2.8. The classical isomorphism theorems 3. Further Topics in Group Theory 3.1. Augustin-Louis Cauchy 3.2. Direct products of groups 3.3. The Sylow theorems 3.4. The Jordan-Holder Theorem 4. Ring Theory 4.1. Emmy Noether 4.2. Elementary properties of rings 4.3. Ideals 4.4. Integral domains and fields 4.5. William Rowan Hamilton 4.6. Certain special ideals 4.7. Divisibility theory in integral domains 4.8. Polynomial rings 5. Field Theory 5.1. Evariste Galois 5.2. Vector spaces, bases, and dimension 5.3. Extensions of fields 5.4. The Galois theory of fields 5.5. Equations solvable by radicals Appendix: Zorn's Lemma Selected References Index of Terms Index of Mathematicians

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