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Více informací o knize Real Variables with Basic Metric Space Topology

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Anotace knihy

INTRODUCTION Basic Terminology Finite and Infinite Sets; Countably Infinite and Uncountably Infinite Sets Distance and Convergence Minicourse in Basic Logic Limit Points and Closure Review Problems for Chapter 1 SOME BASIC TOPOLOGICAL PROPERTIES OF Rp Unions and Intersections of Open and Closed Sets Compactness Some Applications of Compactness Least Upper Bounds and Completeness Review Problems for Chapter 2 UPPER AND LOWER LIMITS OF SEQUENCES OF REAL NUMBERS Generalization of the Limit Concept Some Properties of Upper and Lower Limits Convergence of Power Series Review Problems for Chapter 3 CONTINUOUS FUNCTIONS Continuity: Ideas, Basic Terminology, Properties Continuity and Compactness Types of Discontinuities The Cantor Set Review Problems for Chapter 4 DIFFERENTIATION The Derivative and Its Basic Properties Additional Properties of the Derivative; Some Applications of the Mean Value Theorem Review Problems for Chapter 5 RIEMANN-STIELTJES INTEGRATION Definition of the Integral Properties of the Integral Functions of Bounded Variation Some Useful Integration Theorems Review Problems for Chapter 6 UNIFORM CONVERGENCE AND APPLICATIONS Pointwise and Uniform Convergence Uniform Convergence and Limit Operations The Weierstrass M-test and Applications Equicontinuity and the Arzela-Ascoli Theorem The Weierstrass Approximation Theorem Review Problems for Chapter 7 FURTHER TOPOLOGICAL RESULTS The Extension Problem Baire Category Theorem Connectedness Semicontinuous Functions Review Problems for Chapter 8 EPILOGUE Some Compactness Results Replacing Cantor's Nested Set Property The Real Numbers Revisited SOLUTIONS TO PROBLEMS INDEX

Parametry knihy

Zařazení knihy Knihy v angličtině Mathematics & science Mathematics Calculus & mathematical analysis

• Plný název: Real Variables with Basic Metric Space Topology
• Autor: Robert B Ash
• Jazyk: Angličtina
• Vazba: Brožovaná
• Počet stran: 224
• EAN: 9780486472201
• ISBN: 0486472205
• ID: 02568546
• Nakladatelství: Dover Publications Inc.
• Hmotnost: 290 g
• Rozměry: 232 × 156 × 12 mm
• Datum vydání: 21. May 2009

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