Elementary Classical Analysis - Jerrold Marsden

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Résumé :
Elementary Classical Analysis balances pure and applied mathematics with an emphasis on specific techniques important to classical analysis without vector calculus or complex analysis. It also includes detailed coverage of the foundations of the real number system and focuses primarily on analysis in Euclidean space with a view towards application.

Biographie:
Jerrold E. Marsden and Michael J. Hoffman

Sommaire:
Introduction: Sets and Functions The Real Line and Euclidean Space Topology of Euclidean Space Compact and Connected Sets Continuous Mappings Uniform Convergence Differentiable Mappings The Inverse and Implicit Function Theorems and Related Topics Fubini's Theorem and the Change of Variables Formula Fourier Analysis Answers to Selected Exercises Index