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...
Like what are the big conjectures or problems that if proven will yield great results in mathematics? Where is topology and abstract algebra now? Is analysis finished? Is linear algebra finished? Is 2d geometry finished? At the frontier of mathematics, what are the most important questions that...
I've often wondered this myself. Is it just a convention? Is it because in a way, all the orders of operation are just "addition" ? addition is addition, subtraction is adding negative numbers, multiplying is addition, dividing is multiplying.
But then if this were true, it would only work...
I currently have a c- or something in my year long introductory to calculus and analysis (proof based) and i'm still on the road to becoming a statistician. I don't think marks matter as much for me. I know a few people in statistics canada and i'm social. I just need to do decent enough to get...
Like are we talking about just as well as a mathematician or does he have to know the properties of structure in math that he's studying. Not really the rigour but more like what properties it has and what it can do.
Re: who wants to be a mathematician?
No it's because i felt like i've never had true passion in life. I don't want to live in a life without passion. I feel like i'm going nowhere.
Re: who wants to be a mathematician?
I`m no math nerd at all .. althought i wish i was. I do brazilian jiu jitsu and mma recreationally. I also started doing salsa recreationally as well. I feel like math is more of a recreational activity for me as well. I don`t know where i`m going at in my...
Re: Question about "if and then" statements. IE implication statements.
Thanks for the verification. Now here's another question that i'm confused about.
The question states the following:
Let f(x) = 1/(x?2) and c = 3.
If x>2, prove that |f(x) - f(3)| <|x^2 - 9|/36.
if |x-3|<δ...
Question about "if and then" statements. IE implication statements.
1. Homework Statement
When something is for example asking for:
if |x-3|<δ, prove that |x+3| <δ + k (where k is a constant)
are they supposing it's true? Like are they giving you a hypothesis? How do implication...
So far i haven't found math to be very abstract at all. At first i thought it was all about the graphs and trying to understand the graphs. But then i learnt about functions and mappings. From there, i realized it was a well defined area and the graphs don't matter at all. It's not abstract at...
Thanks. Read it over. But i'm really looking for a site with just A BUNCH of problems so i can get more practice on them. Would anybody know of such sites?
oh wait nvm. Sorry but i meamnt to say that
We need that:
lim f(x)-f(c)=0.
x->c
However we have:
lim f(x)-f(c). It doesn't equal zero.
x->c
I'm just confused.