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July 19th, 2016, 03:42 AM   #1
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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
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July 19th, 2016, 09:22 AM   #2
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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 McGraw-Hill.


G F
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July 20th, 2016, 12:42 AM   #3
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Other good books are

Rod Haggarty's

Foundations of Mathematical Analysis

Addison-Wesley

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.
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July 20th, 2016, 10:10 AM   #4
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How big a list are you trying to create?
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August 8th, 2016, 09:03 AM   #5
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I just want one book to get started. Thanks for the info
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September 2nd, 2016, 04:47 AM   #6
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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.
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September 2nd, 2016, 09:45 AM   #7
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Originally Posted by tutorversal View Post
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.
Thank you for that *nugget* of information, but I cannot see the *silver* lining in this nightmare of *mine*. I feel *bombed* out, so maybe you could *dig* up something *precious* by *pick*ing out information that is relevant for this post. The result would be *24-carat gold* which would *enrich* my life.

How irradiating! *cough*
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