Goodreads helps you keep track of books you want to read.
Start by marking “Counterexamples in Analysis” as Want to Read:
Counterexamples in Analysis
Enlarge cover
Rate this book
Clear rating
Open Preview

Counterexamples in Analysis

4.03  ·  Rating details ·  73 ratings  ·  7 reviews
These counterexamples deal mostly with the part of analysis known as "real variables." The 1st half of the bookdiscusses the real number system, functions and limits, differentiation, Riemann integration, sequences, infinite series, more. The 2nd half examines functions of 2 variables, plane sets, area, metric and topological spaces, and function spaces. 1962 edition. ...more
Paperback, 224 pages
Published June 4th 2003 by Dover Publications
More Details... Edit Details

Friend Reviews

To see what your friends thought of this book, please sign up.

Reader Q&A

To ask other readers questions about Counterexamples in Analysis, please sign up.

Be the first to ask a question about Counterexamples in Analysis

This book is not yet featured on Listopia. Add this book to your favorite list »

Community Reviews

Showing 1-30
Average rating 4.03  · 
Rating details
 ·  73 ratings  ·  7 reviews

More filters
Sort order
Start your review of Counterexamples in Analysis
Mar 22, 2019 rated it really liked it
Shelves: math
I probably would have given this book a lower rating if not for some of the reviews on this site. First, there are plenty of problems with this book. Much of the preliminary material is written in a compact manner that is difficult to understand for those not already familiar with the subject. Many details are left out with references to fill in the blanks; this is excluding the use of major theorems. It is not always clear what the counterexamples are counterexamples of. There is virtually no ...more
May 16, 2008 rated it did not like it
Shelves: textbooks
The book itself was not horribly written or otherwise deplorable, but the fonts and symbols chosen to represent various characters in mathematics were very atypical and made for an often-confusing read. Other books do a much better job of delineating the same material in a more consistent and transparent manner.
Ronald Lett
Dec 26, 2011 rated it liked it
Recommends it for: Mathematics majors
Shelves: analysis
Although it does give some rather arcane examples where a detailed abstract description would have sufficed, it does give a concise collection of concrete counterexamples, some of which may have slipped under your radar.
Aug 30, 2012 rated it really liked it
Shelves: technical, math
A good book for students of analysis - it presents thoughtful counterexamples, illustrating why certain theorems are phrased the way they are. Also useful for those occasions when you need to construct functions, or sequences of functions, with relatively bizarre properties ....
Mar 17, 2009 rated it liked it
Shelves: mathematics
The book contains some important examples, but most of them are too arcane and inelegant.
Nick Black
Mar 23, 2008 rated it really liked it
Not as absolutely outstanding as "Counterexamples in Topology", but necessary reading to be sure.
John Gerbracht
rated it really liked it
Jan 01, 2017
Lisa Clayton
rated it it was amazing
Sep 21, 2015
rated it it was amazing
Feb 15, 2014
Daniel Ferrante
rated it really liked it
Sep 19, 2011
Ryan Wang
rated it really liked it
Feb 21, 2015
rated it really liked it
Feb 02, 2011
rated it liked it
Mar 16, 2008
Chris Phelps
rated it really liked it
Jul 26, 2014
Sunita Varma
rated it it was ok
Sep 26, 2018
rated it really liked it
Oct 05, 2012
Sean McAfee
rated it it was ok
Mar 13, 2015
rated it it was amazing
Jun 30, 2012
rated it really liked it
Dec 10, 2013
rated it it was amazing
Oct 10, 2015
Chris O'Brien
rated it it was ok
May 23, 2015
megha sharma
rated it it was ok
Sep 09, 2017
rated it it was ok
Sep 01, 2016
Jonathan Hoyle
rated it it was amazing
Feb 13, 2017
Gordon Li
rated it it was amazing
Jun 09, 2017
Francisco Blanco-Silva
rated it it was amazing
Aug 01, 2013
rated it it was amazing
Oct 25, 2014
Aaron Wong
rated it it was amazing
Jun 18, 2015
Leon Palafox
rated it liked it
May 12, 2014
Luke Wassink
rated it liked it
Mar 09, 2011
« previous 1 3 next »
There are no discussion topics on this book yet. Be the first to start one »

Readers also enjoyed

  • Power of Silence
  • Azerbaijan Diary: A Rogue Reporter's Adventures in an Oil-Rich, War-Torn, Post-Soviet Republic: A Rogue Reporter's Adventures in an Oil-Rich, War-Torn, Post-Soviet Republic
  • Kim
  • Continued Fractions
  • The Great Game: The Struggle for Empire in Central Asia
  • The Clash of Civilizations and the Remaking of World Order
  • The New Great Game: Blood and Oil in Central Asia
  • Black Garden: Armenia and Azerbaijan Through Peace and War
  • Principles of Communication Engineering
  • Anna Karenina
  • The Scent of Distant Worlds
  • Bayesian Statistics the Fun Way: Understanding Statistics and Probability with Star Wars, Lego, and Rubber Ducks
  • Norwegian Wood
  • A Study in Scarlet (Sherlock Holmes, #1)
  • Orion Colony (Orion Colony #1)
  • The Body: A Guide for Occupants
  • The End Is Always Near: Apocalyptic Moments, from the Bronze Age Collapse to Nuclear Near Misses
  • How To: Absurd Scientific Advice for Common Real-World Problems
See similar books…

Goodreads is hiring!

If you like books and love to build cool products, we may be looking for you.
Learn more »