Real Analysis

Real Analysis Dealing with measure theory and Lebesque integration this is an introductory graduate text

  • Title: Real Analysis
  • Author: Halsey Lawrence Royden Jr.
  • ISBN: 9780024041517
  • Page: 196
  • Format: Paperback
  • Dealing with measure theory and Lebesque integration, this is an introductory graduate text.

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      Posted by:Halsey Lawrence Royden Jr.
      Published :2019-08-02T15:16:42+00:00

    About "Halsey Lawrence Royden Jr."

    1. Halsey Lawrence Royden Jr.

      Halsey Lawrence Royden Jr. Is a well-known author, some of his books are a fascination for readers like in the Real Analysis book, this is one of the most wanted Halsey Lawrence Royden Jr. author readers around the world.

    292 thoughts on “Real Analysis”

    1. Only read the chapters on measure theory, integration and introduction to classical Banach spaces, according to school syllabus. The writing in 2nd/3rd edition seems better than the 4th edition for some reason, possibly due to the flow. As I am not working in this field, probably won't go beyond these topics anymore in near future.Otherwise, the book is extremely clear in introducing measure theory and function spaces. It is probably one of the few "standard" useful texts in analysis.

    2. If I can, I would give it one and a half. I read only seven chapters of the book.The merits are that it is a slow introduction to Lebesgue measure and integration. On the other hand, a lot of non-trivial theorems are left to the reader, and the author proves only very simple theorems. It feels like a math problem book, without solutions. Folland's book is much better than this one.

    3. This, together with Rudin's "Real Analysis", is one of the standard texts on the subject. I personally like Royden a little more -- it has a slightly more conversational tone (but not overly so), and it covers more functional analysis than Rudin does.

    4. Didn't care for the way this book was organized. The first half was a bunch of theorems on the real line, and the last half was all almost identical theorems on arbitrary topological spaces. I've started Rudin's and so far feel like I'm getting more out of that.

    5. It's the standard for graduate analysis texts but not the best for learning on your own. Some major topics are covered only in the exercises. Worst. Index. Ever.

    6. this proof is trivial the main text of the book. was left confused and baffled a bit more than most math books

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