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基本説明
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Full Description
Designed for courses in advanced calculus and introductory real analysis, Elementary Classical Analysis strikes a careful balance between pure and applied mathematics with an emphasis on specific techniques important to classical analysis without vector calculus or complex analysis. The book includes detailed coverage of the foundations of the real number system and focuses primarily on analysis in Euclidean space with a view towards application. Intended for students of engineering and physical science as well as of pure mathematics.
Contents
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
