Recent content by MJC684

Yea thanks bro I'll definitely check those lectures out.

Because people on this foum are always recommending Spivak to beginners and claim they worked through it before they had finished the standard calc sequence I always felt like maybe I wasn't cut out for Mathematics due to the fact I was no where near ready to attack it meaningfully. Am I the...

Alright sounds good. Linear Algebra it is then.

I actually have the Spivak calculus text at home collecting dust on my shelf because at my skill level I felt that the enormous amount of time at it would take me to work through a single chapter of spivak would be better spent on something not quite as rigorous but I could completely wrong. I...

Oh yea I've seen this book in the stacks at school. I could definitely use some help with induction. I'll have to check it out. Thanks man.

I'd like to study math on my own at home so that it will make me a better student of mathematics. I am in college and have recently finished Calc II. I got an A in both calc 1 and 2 but yet I am unsatisfied with my knowledge and skill with the subject. My goal is to prepare myself for the...

Questions on a "modern" theory of the differential from a gem of an old Calc text I discovered a gem of an multivariable calculus text from the 60s called "Modern Multidimensional Calculus" by M. E. Munroe. First off is anyone familiar with this text by any chance? It presents variables and...

Homework Statement (u X v) X w = u X (v X w) Iff (u X w) X v = 0 Homework Equations (u X v) = -(v X u) The Attempt at a Solution I know that I am supposed to prove this by proving P --> Q and Q --> P I know that if (u X w) X V = 0 then (u X w) is a scalar multiple of v. How...

I was wondering if anyone knew of a text or website that has a very indepth explanation of the triangle inequality and its variations really just how to apply it with limit proofs. I mean i understand it in terms of a triangle as no one side can be longer than the sum of the two other sides...

i actually have that book by allendoefer - Principles of Mathematics. The chapter on logic does look interesting. I'm gald i bought it

I've had someone else recommend the same book to me moonpirate. I'll have to check it out.

Also, do you guys feel that concentrating on getting a feel for writing proofs at the this stage in the game (precalculus) is the right move? Or should I be devoting the majority of my time to mastering trig and analytic geometry, mathematical induction, sequences, series, sigma notation etc. ...

yea I have heard similar things about the velleman book. So do you guys think that working through an actual intro to proof writing text is the right way to go? Or is there some other method I should start out with?

Does anyone know of any good precaluclus-level books that are good for learning how to write basic proofs? I have a lot of very nice 1960-early 70s era texts that ask for proofs in the majority of the exercises but the problem is that not only do I not know how to write proofs, but there are no...

I have the Velleman book. I'll have to see if I can get those two other texts you mentioned. Any other advice?