Recent content by Gauged

Elements of Abstract and Linear Algebra

Elements of Abstract and Linear Algebra, by E. H. Connell.

Remembering the fundamentals.

The "easy" way to find the range is to find the domain of a functions inverse. :wink:

Yes, the graph of 1/x is asymptotic by definition. However, when a horizontal line (that is not part of the original graph) intersects the graph at more than one point, then the function in not one-to-one.

Aim for the stars and you'll land on the moon!

Since you're raising the same base of 10 to some number x, you can treat the equation as if there were no logarithmic notation. Using the addition property of logarithms, and the fact that no change of base is needed; \log(x-3)+\log(x+3)=\log(5) \log(9-x^2)=\log(5) 9-x^2=5

There is no need to change the base of the equation. Think of it as a basic polynomial when equal to zero.

f(x) = f(-x)? f(-x) = -f(x)?

Yea... I guess I did.

The language of physics is mathematics. In order to study physics seriously, one needs to learn mathematics that took generations of brilliant people centuries to work out. Let us start from the top shall we? [SIZE="2"] Algebra Geometry Trigonometry Calculus (single variable)...

It only takes me about 0-2 hours to thoroughly understand the material, usually. :cool:

Much to learn still, much to learn... bring it on. :cool:

Thank you for your replies, though I suppose the obveous follow up question would be, what comes after the first three semesters of calculus, excluding analytic geometry, in terms of a physics major? Not that I am thinking about self studying up to/past that point (possible?), but purely to...

I have a relatively simple question to ask anyone so inclined to give me an answer. I recently finished self teaching pre-calculus with the text Algebra and Trigonometry, by Beecher, Penna, and Bittinger, which is an excellent self study text I might add. The book I have chosen to graduate...