Oh crap..... For whatever reason, i parsed "b" to be the number such that it is greater than AND equal to an. Thank you. So b is a set of numbers that satisfy an≤ b right?
1. Homework Statement
here's the picture and it's the second part of question 5:
http://imgur.com/ybSW4v4
2. Homework Equations
N/A
3. The Attempt at a Solution
so by intuition, I suspect that b = sup{a_n: n is in the natural numbers}
If we can show that, then it will...
Go do ALL QUESTIONS in Michael Spivak's "Calculus". Then go do ALL QUESTIONS in "Vector Calculus, Linear Algebra, and Differential Forms: A Unified Approach" by John Hubbard and Barbara Burke Hubbard.
You should be fine and ready to kill Real Analysis. In fact, your level of mathematical...
When you've complete the math degree, did you feel like you got your education's worth and money's worth?
I have a few goals in mind that i would like to complete in math:
Start from axioms and build up geometry
Construct the real numbers
know what's happening in calculus in a deeper...
Re: textbook or online website with A TON OF EPSILON DELTA PROOFS?!
I'm looking for somethijng a bit easier. well alot easier.. But i'll definitely check it out. Something that first year math majors are expected to do. I also have average intelligence.
I don't do well by just reading a proof and internalizing it. I need problems to solve and would LOVE to internalize epsilon delta proofs by practicing 100s of them. It's how I got decent at integrals. It's how anybody gets good at math and music and in general your craft right?
I Don't know a...
NO YOU FOOL! Take it! And i hope that was sarcasm on your last part too... TAKE THE DAM JOB BECAUSE EXPERIENCE >NOTHING!
You can do physics field any other time but right now you should get a job!
Is it weird that my school's real analysis is a course on topology and metric space? I'm only first year but that's what my calculus teacher told me when i asked what real analysis was. He told me the course content for real analysis course at my school was metric space and topology.
I keep on...
I'm actually in mathematics now. But i'm finding that it's just pure mathematics. I want a more applied approach to it than just proving things day in and day out.
One of my life goals is to really just learn how a computer works. I want to learn all the mathematics it takes to understand how a computer works, i want to know the history of it, i want to basically go back to first principles of how a computer works and understand how it evolved into it's...
No i raelly don't think AP calculus has epsilon delta proofs or much proofs at all for that matter. I've never been in an AP calculus course but it's just not going to be the same as the course i've listed.
The calculus link that i've given is a full year course. You have to take it for 2...
If you come to carleton, you'll have to take a first year calculus and algebra class.
here's a sample of what we're doing now in algebra
http://people.math.carleton.ca/~mezo/math1102.html << teaching this class this term.
http://people.math.carleton.ca/~mezo/math1002.html << he doesn't teach...