This concise guide to real analysis covers the core material of a graduate level real analysis course. On the abstract level, it covers the theory of measure and integration and the basics of point set topology, functional analysis, and the most important types of function spaces. On the more concrete level, it also deals with the applications of these general theories to analysis on Euclidean space: the Lebesgue integral, Hausdorff measure, convolutions, Fourier series and transforms, and distributions. The relevant definitions and major theorems are stated in detail. Proofs, however, are generally presented only as sketches, in such a way that the key ideas are explained but the technical details are omitted. In this way a large amount of material is presented in a concise and readable form. The prerequisite is a familiarity with classical real-variable theory.
發表於2024-12-25
A Guide to Advanced Real Analysis 2024 pdf epub mobi 電子書 下載
圖書標籤: 實分析 數學 folland 實分析7 分析 Mathematics Analysis
簡潔而豐富,R-K導數這些要到概率論纔能理解嗎?
評分簡潔而豐富,R-K導數這些要到概率論纔能理解嗎?
評分簡潔而豐富,R-K導數這些要到概率論纔能理解嗎?
評分簡潔而豐富,R-K導數這些要到概率論纔能理解嗎?
評分簡潔而豐富,R-K導數這些要到概率論纔能理解嗎?
A Guide to Advanced Real Analysis 2024 pdf epub mobi 電子書 下載