Algebra

By: Serge LangMaterial type: TextTextSeries: Graduate Texts in Mathematics ; Volume 211Publication details: New York: Springer, [c2002]Edition: 3rd rev. edDescription: 914 pISBN: 9780387953854LOC classification: QA154.3Online resources: Click here to access online
Contents:
Part I- The Basic Objects of Algebra 1. Groups 2. Rings 3. Modules 4. Polynomials Part II- Algebraic Equations 5. Algebraic Extensions 6. Galois Theory 7. Extensions of Rings 8. Transcendental Extensions 9. Algebraic Spaces 10. Noetherian Rings and Modules 11. Real Fields 12. Absolute Values Part III- Linear Algebra and Representations 13. Matrices and Linear Maps 14. Representation of One Endomorphism 15. Structure of Bilinear Forms 16. The Tensor Product 17. Semisimplicity 18. Representations of Finite Groups 19. The Alternating Product Part IV- Homological Algebra 20. General Homology Theory 21. Finite Free Resolutions
Summary: This book is intended as a basic text for a one-year course in Algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. This book successfully addresses all of the basic concepts of algebra. -- summary provided by publisher
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Item type Current library Collection Shelving location Call number Status Notes Date due Barcode Item holds
Book Book ICTS
Mathematic Rack No 4 QA154.3 (Browse shelf (Opens below)) Available Invoice no. IN 31 ; Date 02-04-2019 01945
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Part I- The Basic Objects of Algebra
1. Groups
2. Rings
3. Modules
4. Polynomials

Part II- Algebraic Equations
5. Algebraic Extensions
6. Galois Theory
7. Extensions of Rings
8. Transcendental Extensions
9. Algebraic Spaces
10. Noetherian Rings and Modules
11. Real Fields
12. Absolute Values

Part III- Linear Algebra and Representations
13. Matrices and Linear Maps
14. Representation of One Endomorphism
15. Structure of Bilinear Forms
16. The Tensor Product
17. Semisimplicity
18. Representations of Finite Groups
19. The Alternating Product

Part IV- Homological Algebra
20. General Homology Theory
21. Finite Free Resolutions

This book is intended as a basic text for a one-year course in Algebra at the graduate level, or as a useful reference for mathematicians and professionals who use higher-level algebra. This book successfully addresses all of the basic concepts of algebra. -- summary provided by publisher

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