Recent content by MechanicalEngr

Hi all. I went ahead and ordered the analysis book by Brand, it was only 10 bucks. How about the Marsden and Tromba book? Is it rigourous and proof oriented? Thanks.

Wow. i think I see it now! Is this correct: If one examines the definition of the open ball, it must be in the context of a particular set... or else it is not sensible. The precise definition of an open ball of radi r centered at p(element of E) in the set E would be the set... {x(ELEMENT...

I must be overlooking something! Given a metric space (E,d), the improper subset E is open in E. How? Here is my understanding: 1) We call a set S(subset of E) open iff for all x(element of S) there exist epsilon such that an open ball of radi epsilon centered about s is wholly contained in...

Hi. I have heard that the marsden and Tromba book is not very rigorous. Is this true? I seek a vector book that is something proof intensive. I took vector analysis b4 with a book called vector calculus by Susan colley, I am looking for something more rigorous than this. Anyone read vector...

Meant pde, damn iPad!

Recommend book to follow "Introduction to Analysis" by Rosenlicht I am trying to build a great foundation in analysis before moving into functional analysis, ode and tensor calc( planning on graduate school in computational fluid mechanics ). I love the style of Rosenlichts text. What's the...

IMHO, I think that rudin may have proven this in this way b/c he found it to be more elegant. When I took analysis, I proved it in the following way... Which is much more of a derivation than a proof , loosely... The cs inequality is True in a vector space, so... Given two vectors a and b, the...

Of course it doesn't, lol. It should be harder than basket weaving 101. You think you are at a disadvantage b/c of this?

You won't avoid math in any engineering field. I would recommend that you forget about aerospace as an undergrad, as ME is much more versatile. If you were to study engineering as a graduate student in Aerospace/ME concentrated in fluids/thermal science, your math skills would need to be of the...

IMHO, anything resembling vector analysis is a big plus, you will be confronting tensors head on in that specialization, intro to PDE would be huge plus... also, I wouldn't discount programming, your whole world will revolve around mathematical modeling( with cpu ). I'd take math and programing...

I love math pure math, and of course it is not truly a waste of time for an engineering/science major. I feel as if the extra pure math I have under my belt will be really beneficial in graduate studies. As far as pure/applied math and chem, don't see why not. However, if I were you and I wanted...

Here's my own proof I did in a vector analysis course I took. Cheers.

I picked ME bc I believe applied mechanics to me the most spectacular application of math. I like ME bc I have some natural intuition for problems I encounter. Either is a good choice, both have great career prospects.

Double major is a real time suck in engineering. Too may classes. I believe science degrees have a lot more free electives, In the flow sheet at UKY, you literally have 1 elective. Also, after taking two real analysis classes and a vector analysis class, I can say that it won't help you in your...

I agree, a huge range exist. There are many ME's employed as research scientist at national labs for example. I was at Ames National lab last summer where my mentor, an ME, was a fluid dynamicist. Of course this is basically AE. Fluids/Thermal Sciences and Computational Mechanics as GRADUATE...