For non-homogeneous ordinary differential equations, i was taught that you always had to use the method of annihilators if the right hand side was either cos(x), sin(x), exp(x), a polynomial function or the product and sum of any of these functions. For functions like sec(x)=1/cos(x) the...
I looked up Goldstein's book, and it seems to me that it takes the Lagrangian and Hamiltonian path to mechanics. I am actually looking for a book on Newtonian mechanics since i don't really like University Physics, plus Goldstein's book is over 100 dollars brand new and almost 100 for a used...
Can anyone comment on the difficulty level of this book? The one by Daniel Kleppner and Robert J Kolenkow.
https://www.amazon.com/dp/0521198216/?tag=pfamazon01-20
I've been thinking of buying it and studying from it, but reading the Amazon reviews has me thinking i should stay away from it...
i have two linear algebra books
one is basic computation, more geared towards engineers since its also a differential equations book
its differential equations and linear algebra by stephen w. goode and scott a. annin
not much of a fan of the book, but for what its aimed for i'd say it does a...
well i forgot to mention it would be my 4th
the other three are from philosophy, humanities, and english courses, so if i do take another one then itll be from a course that'll be more related to my major
will it still matter a lot even though they arent part of my major?
im currently taking a 1st semester calc based physics class, basically just mechanics
i have an upcoming exam next friday, and depending on how well i do, I've considered dropping if i do really bad
im a math major at a CC and I've talked to a university representative about withdrawals and...
i would say you should definitely try self studying and trying to place higher for math, because if your community college is anything like mine, you might have a hard time getting the math or physics classes you need.
so can i just say since the zero vector is in the span of any set of vectors and v_(n+1) is not in the span of all the vectors before it then v_(n+1) is not the zero vector??
if that's correct then c_(n+1) must equal zero thus showing that all the vectors are linearly independent
Homework Statement
Suppose v_1,v_2,v_3,...v_n are vectors such that v_1 does not equal the zero vector
and v_2 not in span{v_1}, v_3 not in span{v_1,v_2}, v_n not in span{v_1,v_2,...v_(n-1)}
show that v_1,v_2,v_3,...,V_n are linearly independent.
Homework Equations
linear independence...
the other stuff will be A/V where A is the amount of chemical and V is the volume of water in the tank
when setting up the differential equation you leave A alone since that is what were trying to solve for
for V, you take initial amount of volume+(rate in-rate out)*t
where rate in and rate...
thanks hallsofivy
looking back into my book I am not even sure if its the distributive law that fails
my book says VS8 fails which is for a,b of elements in F(field) and each element x in V
(a+b)x=ax+bx, is this the distributive law? it doesn't look like the one you posted hallsofivy...
nevermind i just checked my work again and i think i figured it out
for associativity we end up with
(a_1+b_1+c_1,a_2-b_2-c_2) on the left side while the right side gives us
(a_1+b_1+c_1,a_2-b_2+c_2)
which aren't equal, so this shows associativity of addition fails right?
im going to...
Homework Statement
let S={(a_1,a_2):a_1,a_2 \in \mathbb{R}} For (a_1,a_2),(b_1,b_2)\in{S} and c\in\mathbb{R} define (a_1,a_2)+(b_1,b_2)=(a_1+b_1,a_2-b_2) and c(a_1,a_2)=(ca_1,ca_2).
show that this is not a vector space
Homework Equations
vector space axioms
The Attempt at a...
saw this article today, i was going to post it on PF but i forgot, glad to see it popped up though
i think a lot of kids who are failing at algebra just don't care about the subject, and because of that they would rather just fail than have to put in the time to get a decent grade
but then...