# Recent content by kramer733

1. ### Can't do this supremum question

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?
2. ### 3 part sup/inf question

This is from NL Carother's Real analysis. Question 2 of chapter 1
3. ### Can't do this supremum question

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...
4. ### Guidance to advanced Calculus

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...
5. ### Programs Question about the math degree (for those who have completed it)

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...
6. ### Studying Textbook or online website with Epsilon-Delta Proofs?

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.
7. ### Studying Textbook or online website with Epsilon-Delta Proofs?

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...
8. ### Engineering Can I get back into science/engineering after leaving?

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!
9. ### Background for Analysis and Topology

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...

1. yes you can 2.depends on what you want. Take my words with a grain of salt. I'm in 1st year haha.
11. ### Engineering Which Engineer Actually Uses the Most Math?

Then take the math courses.
12. ### Programs Which major do i take if i want to learn how a computer works?

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.
13. ### Programs Which major do i take if i want to learn how a computer works?

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...