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GyRo567 wrote:I know the Gallian book is rife with concrete examples. It certainly can't hurt to be familiar with some of the ideas before you take the class, and that's what I used to investigate before my first class.
B.Good wrote:GyRo567 wrote:I know the Gallian book is rife with concrete examples. It certainly can't hurt to be familiar with some of the ideas before you take the class, and that's what I used to investigate before my first class.
Thank you for your insight! I'll definitely check out the Gallian book whenever I can. Also I found a solutions manual for it (if for some reason anyone is interested http://www.amazon.com/Solutions-Gallian ... pd_sim_b_1) which helps the case for this book even more.
Dason wrote:B.Good wrote:GyRo567 wrote:I know the Gallian book is rife with concrete examples. It certainly can't hurt to be familiar with some of the ideas before you take the class, and that's what I used to investigate before my first class.
Thank you for your insight! I'll definitely check out the Gallian book whenever I can. Also I found a solutions manual for it (if for some reason anyone is interested http://www.amazon.com/Solutions-Gallian ... pd_sim_b_1) which helps the case for this book even more.
Don't expect to rely on the solutions manual too much. I mean hopefully you won't go running for it everytime something gets too difficult but also because I don't think it was a very good solution manual. I remember one particular case when I was helping a friend so I thought I'd peak at the solutions because it had been a little while and my hunt went something like... "Gotta find Exercise 4.17... Ok under 4.17 it says see 4.32... where it further sends me to an example in the book... where they refer me to Exercise 4.17... (sigh)"
romulox wrote:On the other side the book doesn't stray far from abstract algebra and you won't find the same extras as in Gallian's Contemporary Abstract Algebra. These extras include biographical information on mathematicians who shaped abstract algebra, computer related assignments, and papers for further reading on certain topics.
romulox wrote:B.good,
If you enjoy mathematics from an abstract perspective I would recommend Herstein's Abstract Algebra. The book is somewhat self contained (i.e. a thorough intro chapter to the basics) and has exercises at a few levels of difficulty. The book also provides a nice foundation for graduate books like Herstein's Topics in Algebra or Hungerfords Algebra.
On the other side the book doesn't stray far from abstract algebra and you won't find the same extras as in Gallian's Contemporary Abstract Algebra. These extras include biographical information on mathematicians who shaped abstract algebra, computer related assignments, and papers for further reading on certain topics.
Hope this helps.
-romulox
I have been moving recently so I hope this reply isn't too late.
Durin wrote:Hi I was introduced to Calculus via my AP Calculus BC class this year and I was hoping to go back and maybe get a more rigorous foundation before I go into my Honors Cal III course this fall. I was wondering what book would be best. Spivak seems to come with very high recommendation. I'd also look well on a book that has a good section on Polars, I'm kind of lacking in knowledge of how to work with them.
AussieSwede wrote:Does someone knows here what is the good book for integration?
Yakk wrote:hey look, the algorithm is a FSM. Thus, by his noodly appendage, QED
romulox wrote:kenneth rosen's discrete mathematics and its application is pretty good. it covers most major and minor areas in discrete mathematics though you may have to find a good supplement for a sound treatment of first order logic and boolean algebra. The book does not cover most topics in any sort of depth and really is an undergraduate level introduction book.
for the future (or if you find rosen's book lacking depth) i would recommend tarski's intro to logic. this will give you a bit more on the logic side.
Yakk wrote:hey look, the algorithm is a FSM. Thus, by his noodly appendage, QED
Cleverbeans wrote:This is now the official thread for questions about math books at any level, from high school through advanced college courses.
Yakk wrote:hey look, the algorithm is a FSM. Thus, by his noodly appendage, QED
Trask Fujioka wrote:I'm hoping to enroll into a four-year college next fall with the intention of pursuing a mathmatics major. I have always loved mathematics, and when in high school the books I would typically read would be mathematics books and computer science books.
In the mean time, I'm wondering if anyone has any books they would recommend I read (or puzzle books that would be fun to work through). I currently have an Amazon Wish List set up with some mathematics books listed in there. If there is a book you would suggest that is already on my Wish List, please let me know, so I know I've picked a winner and I know what to look for first.
Some mathematics texts I have already read (and remember) include Euclid's Window and Mathematics: From the Birth of Numbers, but it's been a while.
My Amazon Wish List is located here: http://amzn.com/w/1VN169EZ658KL
I would greatly appreciate any suggestions and comments! (I would also appreciate any films that deal with math heavily [whether fiction or non-fiction, these can be just for fun], such as A Beautiful Mind and Pi)
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