Elementary Classical Analysis - Jerrold Marsden
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Présentation Elementary Classical Analysis de Jerrold Marsden Format Relié
- Livre Anglais
Résumé : Biographie: Sommaire:
Détails de conformité du produit
Personne responsable dans l'UE
????Supplement on the Axioms of Set Theory
????
??2. The Real Line and Euclidean Space
????Ordered Fields and the Number Systems
????Completeness and the Real Number System
????Least Upper Bounds
????Cauchy Sequences
????Cluster Points: lim inf and lim sup
????Euclidean Space
????Norms, Inner Products, and Metrics
????The Complex Numbers
????
??3. Topology of Euclidean Space
????Open Sets
????Interior of a Set
????Closed Sets
????Accumulation Points
????Closure of a Set
????Boundary of a Set
????Sequences
????Completeness
????Series of Real Numbers and Vectors
????
??4. Compact and Connected Sets
????Compacted-ness
????The Heine-Borel Theorem
????Nested Set Property
????Path-Connected Sets
????Connected Sets
????
??5. Continuous Mappings
????Continuity
????Images of Compact and Connected Sets
????Operations on Continuous Mappings
????The Boundedness of Continuous Functions of Compact Sets
????The Intermediate Value Theorem
????Uniform Continuity
????Differentiation of Functions of One Variable
????Integration of Functions of One Variable
????
??6. Uniform Convergence
????Pointwise and Uniform Convergence
????The Weierstrass M Test
????Integration and Differentiation of Series
????The Elementary Functions
????The Space of Continuous Functions
????The Arzela-Ascoli Theorem
????The Contraction Mapping Principle and Its Applications
????The Stone-Weierstrass Theorem
????The Dirichlet and Abel Tests
????Power Series and Cesaro and Abel Summability
????
??7. Differentiable Mappings
????Definition of the Derivative
????Matrix Representation
????Continuity of Differentiable Mappings...
Jerrold E. Marsden...
????Supplement on the Axioms of Set Theory
????
??2. The Real Line and Euclidean Space
????Ordered Fields and the Number Systems
????Completeness and the Real Number System
????Least Upper Bounds
????Cauchy Sequences
????Cluster Points: lim inf and lim sup
????Euclidean Space
????Norms, Inner Products, and Metrics
????The Complex Numbers
????
??3. Topology of Euclidean Space
????Open Sets
????Interior of a Set
????Closed Sets
????Accumulation Points
????Closure of a Set
????Boundary of a Set
????Sequences
????Completeness
????Series of Real Numbers and Vectors
????
??4. Compact and Connected Sets
????Compacted-ness
????The Heine-Borel Theorem
????Nested Set Property
????Path-Connected Sets
????Connected Sets
????
??5. Continuous Mappings
????Continuity
????Images of Compact and Connected Sets
????Operations on Continuous Mappings
????The Boundedness of Continuous Functions of Compact Sets
????The Intermediate Value Theorem
????Uniform Continuity
????Differentiation of Functions of One Variable
????Integration of Functions of One Variable
????
??6. Uniform Convergence
????Pointwise and Uniform Convergence
????The Weierstrass M Test
????Integration and Differentiation of Series
????The Elementary Functions
????The Space of Continuous Functions
????The Arzela-Ascoli Theorem
????The Contraction Mapping Principle and Its Applications
????The Stone-Weierstrass Theorem
????The Dirichlet and Abel Tests
????Power Series and Cesaro and Abel Summability
????
??7. Differentiable Mappings
????Definition of the Derivative
????Matrix Representation
????Continuity of Differentiable Mappings...