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  #41  
Old 06-25-2005, 03:17 PM
KingMarc KingMarc is offline
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Default Re: Good math books?

It's not really a "math" book, but it deals with math and stuff. It's one of the best books I've ever read...

"The Golden Ratio" by Mario Livio
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  #42  
Old 06-25-2005, 03:37 PM
tylerdurden tylerdurden is offline
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Default Re: Good math books?

If you really want to get into modern abstract algebra, there's nothing better than Herstein's Topics in Algebra.
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  #43  
Old 06-25-2005, 05:40 PM
AleoMagus AleoMagus is offline
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Default Re: Good math books?

[ QUOTE ]
~The Man Who Loved Only Numbers~ is a very good (I think) biography of Ramanujan, but it's more biographical than technical.



[/ QUOTE ]

I haven't read it, but I'm pretty sure this is about Paul Erdos, not Ramanujan

Regards
Brad S
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  #44  
Old 06-25-2005, 06:18 PM
jason_t jason_t is offline
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Default Re: Good math books?

[ QUOTE ]
[ QUOTE ]
~The Man Who Loved Only Numbers~ is a very good (I think) biography of Ramanujan, but it's more biographical than technical.



[/ QUOTE ]

I haven't read it, but I'm pretty sure this is about Paul Erdos, not Ramanujan

Regards
Brad S

[/ QUOTE ]

You're right; the Ramanujan book is called The Man Who Knew Infinity.
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  #45  
Old 06-25-2005, 09:01 PM
Maura Maura is offline
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Default Re: Good math books?

you should also consider ~Journey through Genius~

~Maura
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  #46  
Old 06-26-2005, 12:22 AM
jason_t jason_t is offline
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Default Re: Good math books?

[ QUOTE ]
you should also consider ~Journey through Genius~

~Maura

[/ QUOTE ]

All of William Dunham's books are great.
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  #47  
Old 07-02-2005, 12:11 PM
Jeff W Jeff W is offline
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Default Re: Good math books?

What do you think of these:

What is Mathematics?... by Courant et al

Foundations and Fundamental Concepts of Mathematics by Eves

Concepts of Modern Mathematics by Ian Stewart

I have some mathematical training from my physics degree, mainly in applied mathematics. I am looking for a good introduction to proofs and mathematical logic that is clearly written and interesting.
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  #48  
Old 07-02-2005, 01:50 PM
BeerMoney BeerMoney is offline
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Default Re: Good math books?

[ QUOTE ]
I'm extremely gifted in math and have yet to come across a concept I've had difficulty with so level of difficulty doesn't factor in.

[/ QUOTE ]

Why bother even doing anything if you're so great?!?!? You think you're gifted because you have no idea what else is out there. You've taken CALC 2, but are extremely gifted at math???????
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  #49  
Old 07-02-2005, 02:31 PM
LargeCents LargeCents is offline
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Default Re: Good math books?

[ QUOTE ]
[ QUOTE ]
I'm extremely gifted in math and have yet to come across a concept I've had difficulty with so level of difficulty doesn't factor in.

[/ QUOTE ]

Why bother even doing anything if you're so great?!?!? You think you're gifted because you have no idea what else is out there. You've taken CALC 2, but are extremely gifted at math???????

[/ QUOTE ]

lol. Yeah, "Extremely gifted", is one of those overused terms. I used to think I was at least "gifted", because I was way above anyone in high school and college, but now I realize, I was just "smart" or "competent". Whereas, "gifted" should be reserved for someone who can open a math book they've never encountered, page through it, and basically understand everything "immediately". I can't do that, but there are plenty of "gifted" out there that can. Probably at least a dozen are lurking this forum.
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  #50  
Old 07-02-2005, 07:59 PM
jason_t jason_t is offline
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Default Re: Good math books?

[ QUOTE ]
What do you think of these:

What is Mathematics?... by Courant et al

Foundations and Fundamental Concepts of Mathematics by Eves

Concepts of Modern Mathematics by Ian Stewart

I have some mathematical training from my physics degree, mainly in applied mathematics. I am looking for a good introduction to proofs and mathematical logic that is clearly written and interesting.

[/ QUOTE ]

The Courant et al. book is great. I haven't read the other two, but every other book I've read by Ian Stewart has been outstanding.

For books that are introductions to proofs, the books

How to Read and Do Proofs by Daniel Solow
Foundations of Abstract Mathematics by David Kurtz

are great. They both cover basic logic. For a more advanced yet still introductory book that you could read after reading at least one of the above two books

Mathematical Logic, Herbert Enderton.
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