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Real Analysis: Modern Techniques and Their Applications (Pure and Applied Math (Wiley))
 
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Real Analysis: Modern Techniques and Their Applications (Pure and Applied Math (Wiley)) [Englisch] [Gebundene Ausgabe]

Gerald B. Folland (Autor)
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Gebundene Ausgabe EUR 144,99   -- --
Gebundene Ausgabe, September 1984 --   -- --
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Real Analysis: Modern Techniques and Their Applications (Pure and Applied Mathematics: A Wiley Series of Texts, Monog) Real Analysis: Modern Techniques and Their Applications (Pure and Applied Mathematics: A Wiley Series of Texts, Monog) 5.0 von 5 Sternen (2)
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Produktinformation

  • Gebundene Ausgabe: 366 Seiten
  • Verlag: John Wiley & Sons Inc (September 1984)
  • Sprache: Englisch
  • ISBN-10: 0471809586
  • ISBN-13: 978-0471809586
  • Größe und/oder Gewicht: 22,9 x 15,2 x 2,5 cm
  • Durchschnittliche Kundenbewertung: 5.0 von 5 Sternen  Alle Rezensionen anzeigen (2 Kundenrezensionen)
  • Amazon Bestseller-Rang: Nr. 263.572 in Englische Bücher (Siehe Top 100 in Englische Bücher)

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G. B. Folland
G. B. Folland
Gerald B. Folland
Gerald B. Folland

Produktbeschreibungen

Kurzbeschreibung

This book covers the subject matter that is central to mathematical analysis: measure and integration theory, some point set topology, and rudiments of functional analysis. Also, a number of other topics are developed to illustrate the uses of this core material in important areas of mathematics and to introduce readers to more advanced techniques. Some of the material presented has never appeared outside of advanced monographs and research papers, or been readily available in comparative texts. About 460 exercises, at varying levels of difficulty, give readers practice in working with the ideas presented here.

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1 von 1 Kunden fanden die folgende Rezension hilfreich
Great book 24. Januar 2000
Format:Gebundene Ausgabe
What I like most about the book is its concise but broad coverage of the fundamentals of real and functional analysis. Although I am not a mathematician, my main interest is solving various engineering problems using numerical methods. A solid background in real and functional analysis would be necessary for deeper understanding of various numerical methods. I wish I had known this book the first time I felt the need to study basic modern analysis. This books has exactly the material I wanted to learn.

In addition to the theorems and proofs, the author tells you why some theorems are important and how they can be used (of course also in a concise way). I found this type of "hints" are extremely helpful. The historical notes at the end of each chapter are also interesting to read.

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1 von 1 Kunden fanden die folgende Rezension hilfreich
Von Ein Kunde
Format:Gebundene Ausgabe
Folland's book is extremely terse, but very elegant. It covers topics in great generality. I haven't read the whole book,but the parts I read were excellent. Its a damned hard book, but very precise and conveys a great deal of information. Its certainly not easy reading, it makes the reader (at least it made me) think quite a bit since the proofs are very terse. I think that the amount learned is certainly worth the effort. A classic and one that I would definitely recommend!
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Die hilfreichsten Kundenrezensionen auf Amazon.com (beta)
Amazon.com:  18 Rezensionen
35 von 40 Kunden fanden die folgende Rezension hilfreich
Could have been great 6. Juni 2001
Von Henry Rivers - Veröffentlicht auf Amazon.com
Format:Gebundene Ausgabe
I speak as a graduate student in applied math. I really like this book but was bothered by its flaws. Nevertheless, with a good instructor, this text can make for a good learning experience.

Positives: The book is well organized. It builds in a reasonable way so that I could focus on the material in the book and develop my understanding as I went. The book is reasonably well contained. Outside of a reasonable level of basics (a BA or BS in math) the proofs and most of the problems use material developed earlier in the text. I found the book very interesting -- I especially liked the topics presented in the last few chapters.

Negatives: Lots of typos - the author's errata sheet is woefully incomplete. Too few expamples. Too condensed - sometimes to the point of incomprehensibility or even error. The contents of a whole course may be condensed in to a single chapter or even a single section.

Things to be aware of: You should be comfortable with advanced calculus, topology, set theory, and algebra (linear and modern). It also helps to have had some basic real analysis. I highly recommend that you've seen Fourier transforms, Dirac deltas (distributions), and continuous probability. You aren't going to learn these here - you're going to see how measure theory is applied to them.

24 von 29 Kunden fanden die folgende Rezension hilfreich
Great book 24. Januar 2000
Von wjiang@stc.com - Veröffentlicht auf Amazon.com
Format:Gebundene Ausgabe
What I like most about the book is its concise but broad coverage of the fundamentals of real and functional analysis. Although I am not a mathematician, my main interest is solving various engineering problems using numerical methods. A solid background in real and functional analysis would be necessary for deeper understanding of various numerical methods. I wish I had known this book the first time I felt the need to study basic modern analysis. This books has exactly the material I wanted to learn.

In addition to the theorems and proofs, the author tells you why some theorems are important and how they can be used (of course also in a concise way). I found this type of "hints" are extremely helpful. The historical notes at the end of each chapter are also interesting to read.

20 von 24 Kunden fanden die folgende Rezension hilfreich
TOO MANY TYPOS. 17. Mai 2001
Von Michael Balabanov - Veröffentlicht auf Amazon.com
Format:Gebundene Ausgabe
Strictly from a student's perspective, this is a good textbook in real analysis. The way the material is presented is logical, whatever that means, and consistent. The author doesn't assume a student knows much and you can never go wrong with this assumption. However, this book has TOO MANY typos, so if you've never seen this stuff before, it's not easy to follow. Don't trust this book. Hopefully, next edition will fix this problem. This is a good book and it can become a classic, but, first, they have to correct all the typos. For those, who want a really good book in Analysis which has no typos, I recommend Rudin, "Real and Complex Analysis".
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