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seen Dec 15 '12 at 1:59

Jan
24
comment Should linear algebra and vector calculus from traditional courses be replaced with `geometric algebra`?
So up till now it was only a suspicion that it would also work at universities (perhaps even highschool), but I have never conversed with anyone who witnesses this, confirmation that this can be done is highly nice. Some questions remain: the courses that follow later in the curriculum, they build on these fundaments, are their troubles within the faculty (professors disagreeing with a different notation etc?), are these sidestepped by giving them traditional notation alongside geometric framework? perhaps I'd be pushing it too far if I dare ask if I could get a copy of notes I wont share on?
Jan
24
comment Should linear algebra and vector calculus from traditional courses be replaced with `geometric algebra`?
thanks for this answer, I was suspecting this was done at some universities, sadly not the one Ive been attending... so when I accidentally discovered it (started reading the GA for Computer Science book thinking I picked up a book about algebraic geometry) I was 1 extatic with the geometric reinterpretation of even things I thought I fully understood (like use outer product for solving simultaneous linear equations as you mention, first time I actually saw the parallelogram) but also 2 anger at whatever combination of factors brought me up with traditional "tower of Babel" split framework!
Jan
24
accepted Should linear algebra and vector calculus from traditional courses be replaced with `geometric algebra`?
Jan
23
accepted Can Planck's constant be derived from Maxwell's equations?
Jan
23
comment Axiomatic statistical mechanics
I never said physics is a collection of facts, im saying some books are little but listings of facts
Jan
23
comment Occam's razor on spin statistics theorem?
what does phi(x,x) represent? a wavefunction of a system of 2 particles? what if there are three particles:phi(x,y,z) in general; now what is the symmetry of this system when all positions of particles 1,2,3 are equal? if just 2 are equal? for large N this analysis seems hard, or am I missing something (equivalence, approximation,...)
Jan
23
awarded  Scholar
Jan
23
accepted Occam's razor on spin statistics theorem?
Jan
23
comment Axiomatic statistical mechanics
science without occams razor isnt science but a collection of facts
Jan
23
comment Occam's razor on spin statistics theorem?
thats new information for me, can you tell me how to derive the statistic state distribution from the wavefunctions (step 2 I mentioned...)
Jan
23
comment Axiomatic statistical mechanics
i.e. most statistical mechanics books try too hard to be understood instead of being rigorous which is actually clearer, let the concepts talk for themselves... a kind of semantics for thermodynamics
Jan
23
comment Axiomatic statistical mechanics
please note i'm not talking about hidden truth, just about formal axiomatization, sure the most important parts are widely understood, but formal axiomatic approaches tend to search for one of many possible minimal sets of axioms, while most books are just endless hardly structured listings of examples jumping from one to another and back. compare with latin mathematics in sentences, often using many synonyms for same concept, towards symbolic mathematics of today...
Jan
23
comment Occam's razor on spin statistics theorem?
im not sure if youre really finding the calculation of statistical state distribution from a bunch of [anti]symmetric wavefunctions a trivial exercise, or if you up till now like me were taught to associate halfinteger spin to one statistical distribution and integral spin to another. if its really trivial this part would already help me a lot
Jan
23
comment Occam's razor on spin statistics theorem?
I guess I just dont see how to calculate the statistic for half integer and integer spin... (without remembering that [half]integral represents [fermions]bosons and then selecting the statistic for [fermions]bosons)
Jan
23
comment Can Planck's constant be derived from Maxwell's equations?
@joseph: are you sure his book shares the same title as his article?
Jan
23
comment Can Planck's constant be derived from Maxwell's equations?
heh, im not asking for a free download link, just where it is available to check out the pricing
Jan
23
comment Can Planck's constant be derived from Maxwell's equations?
also: using natural units shoves the value into the fine structure constant no? now you have a dimensionless unexplained constant
Jan
23
comment Can Planck's constant be derived from Maxwell's equations?
I can not find any reference to the book itself :(
Jan
23
comment Can Planck's constant be derived from Maxwell's equations?
for now I only find a relatively short article by Jean Leray with the same title: projecteuclid.org/euclid.bams/1183548218 is this the entire book or should I search harder? thanks for the reference btw!
Jan
23
comment Occam's razor on spin statistics theorem?
are you claiming you cant prove the statistic from the [anti]symmetry of the wavefunction? if so how do you think they are associated, through measured observation alone?