Best introductory book to senior algebra

[Mark]

Hello everyone, I'm a bit of beginner to the more complicated algebra and geometry. Im going in to grade 12 next september, but I'd like to get a headstart on the material, and im wondering what introductory "advanced" (for say) Algebra books were of benifet to you. A first year university book will be fine, as long as it introduces the following things



3-dimensional geometry/graphing
Matrices? (are matrices teh plural version of matrix's? - thats what i need - matrix's AHH that sounds so bad..)
Proofs (inductive / deductive)
etc. anything that a first year algebra/geometry course discusses


Any ideas, or books would be appreciated greatly..

__________________
-Mark

[Janitor]

Here is one that is probably available in a public library near you:

http://store.doverpublications.com/0486663418.html
Click on the Table of contents hypertext at that site to see the topics in it.

It will actually keep you challenged well into your college years--unless you are another Matt Grime type. :rolleyes:

[mathwonk]

I suggest Introduction to modern algebra by john kelley, available used on abebooks.com for $10. it was the official text for "continental classroom" in the 1960's a tv class taught at 7 am on television.

can you believe the us once had an abstract algebra class on tv for free? that is what camelot was like before kennedy was killed.

[FSC729]

Hey there, I understand how you must feel, I was in your position when I began my graduate math program.

How to do Proofs:

Proofs and Fundementals by Ethan D. Bloch (http://www.bestwebbuys.com/books/compare/isbn/0817641114)

One of the best introductory abstract algebra book is:

Abstract Algebra by Abraham P. Hillman, Gerald L. Alexanderson (http://www.bestwebbuys.com/books/compare/isbn/157766082x)

But of course both of these books are useless if you don't know HOW to learn math, check out my website:

How to Learn Math (http://www.geocities.com/deloprator2000/learnmath.html)

Good Luck in your studies

John G.

[cronxeh]

I'd like to offer you a book written by my University's math department:

http://www.math.poly.edu/courses/ma2012/alvarez/Textbook/

As well as http://www.math.poly.edu/courses/ma2012/classnotes.phtml