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JJabb
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20 Sep 2014, 10:29 pm

I found some decently priced math books on Amazon and was wondering if anyone has had the pleasure of using them.

I am a hobbyist in mathematics and have not taken a math course in about 10 years. Although when watching Numberphile on youtube, if interested enough and if I have the time I can usually pick up the concepts. I love statistics and probability and I have always wanted to start at calculus and move upward into number theory (like cryptanalysis and my new found interest graph theory) but can never find the right book to teach me these things. Usually they are so watered down I can't focus or so rigorous I can't keep up... I need something perfectly in the middle. So any advice if not these books or any other would be awesome!! Or if someone knows any cool faction of mathematics they would like to share I am all ears. Don't worry if it's too complex, I will be happy to research!

Essential Calculus with Applications (Dover Books on Mathematics) by Richard A. Silverman
A Book of Abstract Algebra: Second Edition (Dover Books on Mathematics) by Charles C Pinter
Number Theory (Dover Books on Mathematics) by George E. Andrews
Introduction to Graph Theory (Dover Books on Mathematics) by Richard J. Trudeau
Cryptological Mathematics (Mathematical Association of America Textbooks) by Robert Edward LewandNumberphie



Tomatoes
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21 Sep 2014, 6:43 am

JJabb wrote:
Essential Calculus with Applications (Dover Books on Mathematics) by Richard A. Silverman
A Book of Abstract Algebra: Second Edition (Dover Books on Mathematics) by Charles C Pinter


I don't know about them, I think. I'm interested by the one about abstract algebra.

JJabb wrote:
Number Theory (Dover Books on Mathematics) by George E. Andrews


I think you'll like the combinatoric approach used for the proofs if you buy this book.

JJabb wrote:
Introduction to Graph Theory (Dover Books on Mathematics) by Richard J. Trudeau
Cryptological Mathematics (Mathematical Association of America Textbooks) by Robert Edward LewandNumberphie


Graph theory, as in computer science? Cryptology is always fun. I don't know about those books.

It's not a book, but this website was useful to me: http://tutorial.math.lamar.edu/



ruveyn
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21 Sep 2014, 11:59 am

JJabb wrote:

Essential Calculus with Applications (Dover Books on Mathematics) by Richard A. Silverman
A Book of Abstract Algebra: Second Edition (Dover Books on Mathematics) by Charles C Pinter
Number Theory (Dover Books on Mathematics) by George E. Andrews
Introduction to Graph Theory (Dover Books on Mathematics) by Richard J. Trudeau
Cryptological Mathematics (Mathematical Association of America Textbooks) by Robert Edward LewandNumberphie


I have read
Number Theory (Dover Books on Mathematics) by George E. Andrews
Introduction to Graph Theory (Dover Books on Mathematics) by Richard J. Trudeau

There are o.k.

ruveyn



DRzero
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21 Sep 2014, 4:53 pm

I've read Andrews's book on number theory and it's a gem. I skipped the part on partitions because for some reason they don't interest me.

You don't need to "work up" to number theory. You can do a lot of number theory with no calculus and a whole lot with a little calculus.

Victor Schoup's (sp?) book "A Computational Introduction to Number Theory and Algebra" (or extremely similar title) is a gem. You can find a free pdf on the Web, but a real copy is easier to use, of course.

Robin Wilson's introductory book on graph theory (some generic title such as "Introduction to Graph Theory") is excellent. A new copy is a ripoff on Amazon, but you may be able to find a used copy on Amazon, or find the book on abebooks.com or eBay for a reasonable price.

My favorite abstract algebra book is An Introduction to Contemporary Abstract Algebra by Joseph Gallian. I like Lidl and Niederreiter's book Finite Fields and their Applications, and I've obtained the book Finite Fields for Computer Scientists and Engineers (Engineers and Computer Scientists?). I looks quite good, but I haven't had much time to read it.

I'm not that interested in analysis these days, since there's so little demand for it. But Folland's book Real Analysis is beautiful. I don't know much about the field, but there seem to be interesting things going on in ergodic theory. Silva's (de Silva? da Silva?) Introduction to Ergodic Theory is a great book which contains an introduction to measure theory within it.

Happy reading.


JJabb wrote:
I found some decently priced math books on Amazon and was wondering if anyone has had the pleasure of using them.

I am a hobbyist in mathematics and have not taken a math course in about 10 years. Although when watching Numberphile on youtube, if interested enough and if I have the time I can usually pick up the concepts. I love statistics and probability and I have always wanted to start at calculus and move upward into number theory (like cryptanalysis and my new found interest graph theory) but can never find the right book to teach me these things. Usually they are so watered down I can't focus or so rigorous I can't keep up... I need something perfectly in the middle. So any advice if not these books or any other would be awesome!! Or if someone knows any cool faction of mathematics they would like to share I am all ears. Don't worry if it's too complex, I will be happy to research!

Essential Calculus with Applications (Dover Books on Mathematics) by Richard A. Silverman
A Book of Abstract Algebra: Second Edition (Dover Books on Mathematics) by Charles C Pinter
Number Theory (Dover Books on Mathematics) by George E. Andrews
Introduction to Graph Theory (Dover Books on Mathematics) by Richard J. Trudeau
Cryptological Mathematics (Mathematical Association of America Textbooks) by Robert Edward LewandNumberphie
[i]


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