A (Terse) Introduction to Lebesgue Integration 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


A (Terse) Introduction to Lebesgue Integration

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John Franks 作者
American Mathematical Society
譯者
2009 出版日期
202 頁數
323.00元 價格
Student Mathematical Library 叢書系列
9780821848623 圖書編碼

A (Terse) Introduction to Lebesgue Integration 在線電子書 圖書標籤: 數學分析7  數學-FA  數學  找不到電子版   


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A (Terse) Introduction to Lebesgue Integration 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

A (Terse) Introduction to Lebesgue Integration 在線電子書 epub 下載 pdf 下載 mobi 下載 txt 下載 2024

A (Terse) Introduction to Lebesgue Integration 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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A (Terse) Introduction to Lebesgue Integration 在線電子書 著者簡介

John Franks: Northwestern University, Evanston, IL


A (Terse) Introduction to Lebesgue Integration 在線電子書 著者簡介


A (Terse) Introduction to Lebesgue Integration 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

A (Terse) Introduction to Lebesgue Integration 在線電子書 圖書描述

This book provides a student's first encounter with the concepts of measure theory and functional analysis. Its structure and content reflect the belief that difficult concepts should be introduced in their simplest and most concrete forms.

Despite the use of the word “terse” in the title, this text might also have been called A (Gentle) Introduction to Lebesgue Integration. It is terse in the sense that it treats only a subset of those concepts typically found in a substantial graduate-level analysis course. The book emphasizes the motivation of these concepts and attempts to treat them simply and concretely. In particular, little mention is made of general measures other than Lebesgue until the final chapter and attention is limited to R as opposed to Rn.

After establishing the primary ideas and results, the text moves on to some applications. Chapter 6 discusses classical real and complex Fourier series for L2 functions on the interval and shows that the Fourier series of an L2 function converges in L2 to that function. Chapter 7 introduces some concepts from measurable dynamics. The Birkhoff ergodic theorem is stated without proof and results on Fourier series from Chapter 6 are used to prove that an irrational rotation of the circle is ergodic and that the squaring map on the complex numbers of modulus 1 is ergodic.

This book is suitable for an advanced undergraduate course or for the start of a graduate course. The text presupposes that the student has had a standard undergraduate course in real analysis.

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