July 19th, 2016, 02:42 AM  #1 
Senior Member Joined: Apr 2014 From: Glasgow Posts: 1,928 Thanks: 628 Math Focus: Physics, mathematical modelling, numerical and computational solutions  Source material
Hi peeps, Considering the vast number of threads regarding countable and uncountable sets, can anybody recommend a really good book or some nice online materials for learning about real analysis and number systems at the undergraduate level? I know a little bit about what is happening here but I would like to learn more about the subject. A friend of mine had this book, but he moved to Austria recently and took it with him! Buy Introductory Real Analysis (Dover Books on Mathematics) Book Online at Low Prices in India  Introductory Real Analysis (Dover Books on Mathematics) Reviews & Ratings  Amazon.in 
July 19th, 2016, 08:22 AM  #2 
Senior Member Joined: Jun 2015 From: England Posts: 558 Thanks: 145 
Hi, It is difficult to get modern books with extensive details of both number theory and (real) analysis. A really good small introductory text at university level is Mathematical Analysis by K G Binmore Cambridge University Press He also has the more extensive Calculus also from Cambridge, But this one concentrate on applications and does not delve so deeply into the underlying ideas. A good american book, though slightly older, which will take you on into (start you off in) systems of algebra, functional analysis, Banach spaces is Introduction to topology and Modern Analysis by Simmons From McGrawHill. G F 
July 19th, 2016, 11:42 PM  #3 
Senior Member Joined: Jun 2015 From: England Posts: 558 Thanks: 145 
Other good books are Rod Haggarty's Foundations of Mathematical Analysis AddisonWesley Which is about the same level as the first Binmore and The more advanced Real Analysis from Carothers Cambridge University Press Which goes into measure theory etc but does not really do numbers. 
July 20th, 2016, 09:10 AM  #4 
Senior Member Joined: Jun 2015 From: England Posts: 558 Thanks: 145 
How big a list are you trying to create?

August 8th, 2016, 08:03 AM  #5 
Senior Member Joined: Apr 2014 From: Glasgow Posts: 1,928 Thanks: 628 Math Focus: Physics, mathematical modelling, numerical and computational solutions 
I just want one book to get started. Thanks for the info 
September 2nd, 2016, 03:47 AM  #6 
Newbie Joined: Aug 2016 From: sydney Posts: 9 Thanks: 0 
Source material can result from the milling and concentration of uranium contained in ore mined for its uranium content. It can also be generated in the process of refining ores mined for other precious metals.

September 2nd, 2016, 08:45 AM  #7  
Senior Member Joined: Apr 2014 From: Glasgow Posts: 1,928 Thanks: 628 Math Focus: Physics, mathematical modelling, numerical and computational solutions  Quote:
How irradiating! *cough*  

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