Algebra : groups, rings, and fields /: groups, rings, and fields. (2018)
- Record Type:
- Book
- Title:
- Algebra : groups, rings, and fields /: groups, rings, and fields. (2018)
- Main Title:
- Algebra : groups, rings, and fields
- Further Information:
- Note: Louis Rowen.
- Authors:
- Rowen, Louis Halle
- Contents:
- Part, PART I--GROUPS -- chapter 1 Monoids and Groups -- chapter 2 How to Divide: Lagrange's Theorem, Cosets, and an Application to Number Theory -- chapter 3 Cauchy's Theorem: How to Show a Number Is Greater Than 1 -- chapter 4 Introduction to the Classification of Groups: Homomorphisms, Isomorphisms, and Invariants -- chapter 5 Normal Subgroups--The Building Blocks of the Structure Theory -- chapter 6 Classifying Groups--Cyclic Groups and Direct Products -- chapter 7 Finite Abelian Groups -- chapter 8 Generators and Relations -- chapter 9 When Is a Group a Group? (Cayley's Theorem) -- chapter 10 Recounting: Conjugacy Classes and the Class Formula -- chapter 11 Sylow Subgroups: A New Invariant -- chapter 12 Solvable Groups: W hat Could Be Simpler? -- part, PART II--RINGS AND POLYNOMIALS -- chapter 13 An Introduction to Rings -- chapter 14 The Structure Theory of Rings -- chapter 15 The Field of Fractions--A Study in Generalization -- chapter 16 Polynomials and Euclidean Domains -- chapter 17 Principal Ideal Domains: Induction without Numbers -- chapter 18 Roots of Polynomials -- chapter 19 (Optional) Applications: Famous Results from Number Theory -- chapter 20 Irreducible Polynomials -- chapter Historical Background -- chapter 21 Field Extensions: Creating Roots of Polynomials -- chapter 22 The Problems of Antiquity -- chapter 23 Adjoining Roots to Polynomials: Splitting Fields -- chapter 24 Finite Fields -- chapter 25 The Galois Correspondence -- chapter 26 Applications ofPart, PART I--GROUPS -- chapter 1 Monoids and Groups -- chapter 2 How to Divide: Lagrange's Theorem, Cosets, and an Application to Number Theory -- chapter 3 Cauchy's Theorem: How to Show a Number Is Greater Than 1 -- chapter 4 Introduction to the Classification of Groups: Homomorphisms, Isomorphisms, and Invariants -- chapter 5 Normal Subgroups--The Building Blocks of the Structure Theory -- chapter 6 Classifying Groups--Cyclic Groups and Direct Products -- chapter 7 Finite Abelian Groups -- chapter 8 Generators and Relations -- chapter 9 When Is a Group a Group? (Cayley's Theorem) -- chapter 10 Recounting: Conjugacy Classes and the Class Formula -- chapter 11 Sylow Subgroups: A New Invariant -- chapter 12 Solvable Groups: W hat Could Be Simpler? -- part, PART II--RINGS AND POLYNOMIALS -- chapter 13 An Introduction to Rings -- chapter 14 The Structure Theory of Rings -- chapter 15 The Field of Fractions--A Study in Generalization -- chapter 16 Polynomials and Euclidean Domains -- chapter 17 Principal Ideal Domains: Induction without Numbers -- chapter 18 Roots of Polynomials -- chapter 19 (Optional) Applications: Famous Results from Number Theory -- chapter 20 Irreducible Polynomials -- chapter Historical Background -- chapter 21 Field Extensions: Creating Roots of Polynomials -- chapter 22 The Problems of Antiquity -- chapter 23 Adjoining Roots to Polynomials: Splitting Fields -- chapter 24 Finite Fields -- chapter 25 The Galois Correspondence -- chapter 26 Applications of the Galois Correspondence -- chapter 27 Solving Equations by Radicals. … (more)
- Publisher Details:
- Boca Raton, FL : CRC Press
- Publication Date:
- 2018
- Copyright Date:
- 1994
- Extent:
- 1 online resource (239 pages)
- Subjects:
- 512.9
Algebra
Anneaux (algeb̀re)
Algebra
Electronic books - Languages:
- English
- ISBNs:
- 9781439863527
1439863520 - Related ISBNs:
- 9781568810287
- Access Rights:
- Legal Deposit; Only available on premises controlled by the deposit library and to one user at any one time; The Legal Deposit Libraries (Non-Print Works) Regulations (UK).
- Access Usage:
- Restricted: Printing from this resource is governed by The Legal Deposit Libraries (Non-Print Works) Regulations (UK) and UK copyright law currently in force.
- View Content:
- Available online (eLD content is only available in our Reading Rooms) ↗
- Physical Locations:
- British Library HMNTS - ELD.DS.473756
- Ingest File:
- 02_624.xml