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121	Part III - Lent Term[removed]Approximation Theory – Lecture 4 4 Existence and uniqueness of best approximation 4.1 Add to Reading List Source URL: www.damtp.cam.ac.uk Language: English - Date: 2005-02-27 12:04:51 Operator theory Linear algebra Quantum mechanics Spectral theory Group theory Vector space Hilbert space Convex function Spectral theory of ordinary differential equations Algebra Mathematics Mathematical analysis
122	St Brigid’s School Year 3 Long Term Planning Subject Maths Add to Reading List Source URL: www.st-brigids.co.uk Language: English - Date: 2012-01-20 05:45:07 Binary operations 24 Game Term Fraction Multiplication Addition Subtraction Number Field Mathematics Abstract algebra Elementary arithmetic
123	Course 212: Hilary Term 2001 Part III: Normed Vector Spaces and Functional Analysis D. R. Wilkins c David R. Wilkins 1997–2001 Copyright Add to Reading List Source URL: www.maths.tcd.ie Language: English - Date: 2001-03-26 13:06:43 Functional analysis Mathematical structures Linear algebra Operator theory Bounded operator Vector space Normed vector space Banach space Operator Mathematics Algebra Mathematical analysis
124	Course 311: Michaelmas Term 2005 Part III: Topics in Commutative Algebra D. R. Wilkins Contents 3 Topics in Commutative Algebra Add to Reading List Source URL: www.maths.tcd.ie Language: English - Date: 2007-03-04 16:21:59 Algebraic structures Commutative algebra Mathematical structures Polynomials Polynomial ring Ideal Prime ideal Ring Quotient ring Abstract algebra Algebra Ring theory
125	Course 311, Part II: Group Theory Problems Michaelmas Term[removed]Let G be a group. An automorphism of G is an isomorphism sending G onto itself. Show that the set Aut(G) of automorphisms of G is a group with respect to Add to Reading List Source URL: www.maths.tcd.ie Language: English - Date: 2006-03-16 12:03:53 Normal subgroup Conjugacy class Center Subgroup Centralizer and normalizer Alternating group Symmetric group Sylow theorems Abstract algebra Algebra Group theory
126	Course 311, Part III: Commutative Algebra Problems Michaelmas Term[removed]Let R be a unital commutative ring (i.e., a commutative ring with a non-zero multiplicative identity element, denoted by 1, which satisfies 1x = Add to Reading List Source URL: www.maths.tcd.ie Language: English - Date: 2006-03-16 12:03:53 Algebraic structures Ideals Commutative algebra Ring Radical of an ideal Pseudo-ring Polynomial ring Subring Commutative ring Abstract algebra Algebra Ring theory
127	Course 311: Hilary Term 2006 Part V: Hilbert’s Nullstellensatz D. R. Wilkins Contents 5 Hilbert’s Nullstellensatz Add to Reading List Source URL: www.maths.tcd.ie Language: English - Date: 2006-03-16 11:54:13 Ring theory Polynomials Field theory Invariant theory Polynomial ring Field extension Polynomial Finite field Algebraically closed field Abstract algebra Algebra Commutative algebra
128	Course 311, Part IV: Galois Theory Problems Hilary Term[removed]Use Eisenstein’s criterion to verify that the following polynomials are irreducible over Q:— (i ) t2 − 2; Add to Reading List Source URL: www.maths.tcd.ie Language: English - Date: 2006-03-16 12:03:53 Galois group Finite field Normal extension Galois theory Field extension Discriminant Fundamental theorem of algebra Splitting field Separable polynomial Abstract algebra Algebra Field theory
129	Course 311: Hilary Term 2006 Part VI: Introduction to Affine Schemes D. R. Wilkins Contents 6 Introduction to Affine Schemes Add to Reading List Source URL: www.maths.tcd.ie Language: English - Date: 2006-03-16 11:54:13 Algebraic structures Commutative algebra Prime ideals Mathematical structures Spectrum of a ring Commutative ring Ideal Ring Quotient ring Abstract algebra Algebra Ring theory
130	Course 311: Michaelmas Term 2005 Part II: Topics in Group Theory D. R. Wilkins c David R. Wilkins 1997–2005 Copyright Add to Reading List Source URL: www.maths.tcd.ie Language: English - Date: 2006-04-10 10:14:53 Coset Normal subgroup Quotient group Index of a subgroup Subgroup Abelian group Group action Group Center Abstract algebra Algebra Group theory

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