I mean, there's two ways you can go. There's high school level problem solving texts and then there's college level math.
If they're looking for interesting high school level math problems, then I'd look into Art of Problem Solving series (the two texts at the bottom). There's also Problem Solving Strategies by Engel, which is also an excellent book. If they're looking into some accessible "higher level" (meaning, proof-based) math, I'd suggest number theory. Niven has an excellent treatment of introductory number theory.
As far as introductory college level math goes, you could always hand them a multivariable calculus, linear algebra or differential equations book. As far as recommendations go, Axler has a pretty good treatment of linear algebra if you already have some background, Apostol's series on calculus (vol. 1 and vol. 2) has a more theoretical approach to single and multi variable calculus (it's more advanced than high school calculus, but not quite an undergraduate analysis text), and Birkhoff/Rota's differential equations book has an advanced approach to differential equations probably not for high schoolers. If you don't think they'll be scared by rigor, you could always refer them to Little Rudin, which is pretty much the standard for an undergraduate real analysis class. If you're looking for an analysis book that isn't ridiculously overpriced, I've heard about this one but I've never actually read it. For a pretty readable treatment of algebra (a.k.a. modern algebra or abstract algebra), see Artin. For a more theoretical approach (less recommended for high schoolers I guess), see MacLane/Birkhoff.
That's because Runge-Kutta is a well known method. You can even find an algorithm on Wikipedia. For the speaker's audience, this is common knowledge - it's covered in basic differential equations classes (or numerical methods classes) - and it's boring to go over the details. People aren't going to his talk to revisit elementary concepts. If you don't know the basic concepts required to understand his talk and aren't even willing to look it up on Wikipedia, stop going to talks.
RTFA:
'My next step is to talk to manufacturers to see if they will build a working prototype,' Yuan said. "If the design works in a real test stage, I want to find a company to manufacture and market it.""
Yeah maybe, just maybe, his friend doesn't play games. You know, I think most working adults use their computers for something other than video games. I know it's strange to you, but eventually you'll find said uses as well.
Your reply is exactly why Linux has not gained market share. Who are you to dictate HOW I should use my computer? Some kind of nazi? Come up with a super easy GUI solution instead of telling the guy to fuck off and sending him to mercy of the OEMs.
You can't possibly expect to be able to install any operating system without sufficient knowledge about how hard drive partitioning works. It gets worse with windows: do you think the fdisk Windows (XP) provides has a better UI than the GUI on the Ubuntu LiveCD? Windows assumes it's the first OS you're installing on the system. It has no GUI for partition management. You have no idea what you're talking about. There is no easy solution - a computer cannot read your mind and determine how you want your partitions.
Funny how Linux people dictate MORE than Microsoft ever done to its users. Specially when someone is asking "Why can't I" usually he/she gets the answer "You don't need to" instead of actual help. And funny how he actually "can handle" "this" with windows and not Linux. Funny how you tell him to go to OEMs instead of admitting Windows is easier and stronger in this matter since the user can do it "there" and not "here".
If you are unable to accept the default configuration presented to you but unwilling to acquire the knowledge required to modify that configuration... what do you expect?
Score me -1, what the fuck do I care. My IQ is probably higher than 90% of you... god damn Linux religious zealots.
How old are you? You haven't made a single reasonable claim/argument yet.
to make or break what I'm sure were many of the applicants' dreams
When your dreams rely on something as unpredictable as college admissions, then you shouldn't be surprised when they are broken. Except for IMO winners and the like, no one should expect to get into MIT, no one should plan their lives around getting into MIT, and no one should feel particularly angry when rejected by MIT.
I didn't apply to MIT, but I know a lot of people who did. Think about how horrible and betrayed they must feel that the dean of admissions didn't even go to college herself!
I also know people that were rejected from MIT and none of them really care quite as much as you. Her resume falsifications didn't lead to their rejection/acceptance. The admissions process is much more than just her.
However, her blatant abuse of the system and extensive lying and hypocrisy simply drive me crazy.
Blatant abuse? I think you're really over-hyping this. She lied about her degree to get into a position that didn't require one. Other than that, she seems to have worked her way up from there within the bounds of the system. You seem to make the implication that because she falsified her resume (one single event), her entire career has been nothing but corruption and abuse, with ill self-interested intentions. That seems like a logical fallacy (hasty generalization) to me.
I honestly don't see why people are making such a big deal out of this. Most people that got into MIT are feeling really bad for her and want her to stay. You think she's a terrible corrupt individual. Most of the staff at MIT do not feel negatively toward her at all. Her resignation was more of a necessity. In the end though, nothing really terrible came out of her lying. There are other lies with very negative consequences that I think are more worthy of your outrage.
And it wasn't just pure math problems that are on the list either.
I know, but you said "all" (problems would become trivial). That's really where I disagree.
A non-mathematician has no shot at proving FLT or Poincare or the Riemann hypothesis.
It seems like all you have to offer is your opinion that, "aha!!!! I found something whose discovery time can't be shortened at all!" Hey -- good for you.
I provided an example to demonstrate a point. There are many problems which money (or wealth) have very limited effect in solving (and at the same time many where the effect is significant).
I understand your point, and for conventional research, funding is very important. But in the case of FLT (and nonapplied mathematics or any field where the practical applications are not immediately obvious), money (or wealth) is a not large factor at all. Large monetary prizes have been offered for FLT but they came up with nothing for centuries. Perelman was not motivated by the monetary award from CMI. And in my opinion, if all the world's resources were devoted to proving the Collatz conjecture, we still wouldn't have a proof within the next decade (and that's a conservative estimate).
Very funny, but I actually consider that the most important question of all, because if you know the answer to that, you can generate the wealth necessary to trivially solve all of the others.
Money didn't prove Fermat's Last Theorem.
A lot of the time it takes more than money; it takes insight, ingenuity, and devotion. Money helps because then more people are trying to solve the problem, but it doesn't make it trivial.
Hm, I would rather lose my privacy to the government than to everyone including the government.
But I can see where you're going. A video of me smoking pot at a street corner is clearly of no interest to the public but possibly of interest to the government.
But that has more to do with the fact that surveillance cameras are always recording whereas personal cameras record at selective moments.
I mean, if the government publicly posted all their surveillance footage, I don't think it would make it any better (for me at least).
When the US invades Mexico and Canada and tortures anyone who does not submit by publicly cutting off their family's members heads, I'll agree with you.
What I'm wondering is, what does a hypothetical situation in which the United States invades Mexico and Canada and tortures/beheads Mexicans and Canadians have to do with documented actions that the United States has carried out in the past?
The United States of America carried out one of the most successful genocides in the history of mankind. How many American Indians (Native Americans) do you know?
It was funded by private donations. From Wikipedia, As of 31 Oct 2006, $23.8 million has been raised in donations and the museum is expected to open in the spring of 2007.
I know this has been said, but I also agree with parent. While Gmail might not have as many features as the new Yahoo mail beta, it runs very smoothly on low end computers whereas Yahoo mail won't load at all. Even on my reasonably modern computer, Yahoo mail beta slows down my browser.
Many of the features Yahoo gives are available in mail clients (e.g. Thunderbird). Gmail provides POP3 service, whereas Yahoo does not (you have to pay for it). That alone causes me to prefer Gmail over Yahoo mail.
I've got a question: I installed that extension and I'm trying to figure out what caused the leak. For example, I get this when I go to google and close the tab:
handleEvent
function (e) { InstallAC(f, f.q, f.btnG, "search", "en); }
Am I the only one that has problem hearing the girl in Daredevil? Hopefully they fix that for the actual ad or no one's going to know what the hell the ad was about
Slashdot Mirror
I mean, there's two ways you can go. There's high school level problem solving texts and then there's college level math.
If they're looking for interesting high school level math problems, then I'd look into Art of Problem Solving series (the two texts at the bottom). There's also Problem Solving Strategies by Engel, which is also an excellent book. If they're looking into some accessible "higher level" (meaning, proof-based) math, I'd suggest number theory. Niven has an excellent treatment of introductory number theory.
As far as introductory college level math goes, you could always hand them a multivariable calculus, linear algebra or differential equations book. As far as recommendations go, Axler has a pretty good treatment of linear algebra if you already have some background, Apostol's series on calculus (vol. 1 and vol. 2) has a more theoretical approach to single and multi variable calculus (it's more advanced than high school calculus, but not quite an undergraduate analysis text), and Birkhoff/Rota's differential equations book has an advanced approach to differential equations probably not for high schoolers. If you don't think they'll be scared by rigor, you could always refer them to Little Rudin, which is pretty much the standard for an undergraduate real analysis class. If you're looking for an analysis book that isn't ridiculously overpriced, I've heard about this one but I've never actually read it. For a pretty readable treatment of algebra (a.k.a. modern algebra or abstract algebra), see Artin. For a more theoretical approach (less recommended for high schoolers I guess), see MacLane/Birkhoff.
That's because Runge-Kutta is a well known method. You can even find an algorithm on Wikipedia. For the speaker's audience, this is common knowledge - it's covered in basic differential equations classes (or numerical methods classes) - and it's boring to go over the details. People aren't going to his talk to revisit elementary concepts. If you don't know the basic concepts required to understand his talk and aren't even willing to look it up on Wikipedia, stop going to talks.
RTFA:
'My next step is to talk to manufacturers to see if they will build a working prototype,' Yuan said. "If the design works in a real test stage, I want to find a company to manufacture and market it.""
Because a grand total of 0 Republican senators and 1 Republican representative voted against it?
Because it was sponsored by a "Democrat" from Texas and two Republicans?
Because 28 out of 51 senate Democrats voted against it and 128 out of 233 house Democrats voted against it?
Because the proposed amendment to remove Telco immunity was sponsored by Democrats?
You know who created this mess? The individual congressmen who voted for the amendment.
Yeah maybe, just maybe, his friend doesn't play games. You know, I think most working adults use their computers for something other than video games. I know it's strange to you, but eventually you'll find said uses as well.
Your reply is exactly why Linux has not gained market share. Who are you to dictate HOW I should use my computer? Some kind of nazi? Come up with a super easy GUI solution instead of telling the guy to fuck off and sending him to mercy of the OEMs.
You can't possibly expect to be able to install any operating system without sufficient knowledge about how hard drive partitioning works. It gets worse with windows: do you think the fdisk Windows (XP) provides has a better UI than the GUI on the Ubuntu LiveCD? Windows assumes it's the first OS you're installing on the system. It has no GUI for partition management. You have no idea what you're talking about. There is no easy solution - a computer cannot read your mind and determine how you want your partitions.
Funny how Linux people dictate MORE than Microsoft ever done to its users. Specially when someone is asking "Why can't I" usually he/she gets the answer "You don't need to" instead of actual help. And funny how he actually "can handle" "this" with windows and not Linux. Funny how you tell him to go to OEMs instead of admitting Windows is easier and stronger in this matter since the user can do it "there" and not "here".
If you are unable to accept the default configuration presented to you but unwilling to acquire the knowledge required to modify that configuration... what do you expect?
Score me -1, what the fuck do I care. My IQ is probably higher than 90% of you... god damn Linux religious zealots.
How old are you? You haven't made a single reasonable claim/argument yet.
The results of that poll are skewed though. It's an internet poll. There's no way the Republicans are actually nominating Ron Paul.
When your dreams rely on something as unpredictable as college admissions, then you shouldn't be surprised when they are broken. Except for IMO winners and the like, no one should expect to get into MIT, no one should plan their lives around getting into MIT, and no one should feel particularly angry when rejected by MIT.
I didn't apply to MIT, but I know a lot of people who did. Think about how horrible and betrayed they must feel that the dean of admissions didn't even go to college herself!
I also know people that were rejected from MIT and none of them really care quite as much as you. Her resume falsifications didn't lead to their rejection/acceptance. The admissions process is much more than just her.
However, her blatant abuse of the system and extensive lying and hypocrisy simply drive me crazy.
Blatant abuse? I think you're really over-hyping this. She lied about her degree to get into a position that didn't require one. Other than that, she seems to have worked her way up from there within the bounds of the system. You seem to make the implication that because she falsified her resume (one single event), her entire career has been nothing but corruption and abuse, with ill self-interested intentions. That seems like a logical fallacy (hasty generalization) to me.
I honestly don't see why people are making such a big deal out of this. Most people that got into MIT are feeling really bad for her and want her to stay. You think she's a terrible corrupt individual. Most of the staff at MIT do not feel negatively toward her at all. Her resignation was more of a necessity. In the end though, nothing really terrible came out of her lying. There are other lies with very negative consequences that I think are more worthy of your outrage.
That's not neologism. That's just stupidity.
What if you converted all your music to FLAC?
A non-mathematician has no shot at proving FLT or Poincare or the Riemann hypothesis. It seems like all you have to offer is your opinion that, "aha!!!! I found something whose discovery time can't be shortened at all!" Hey -- good for you.
I provided an example to demonstrate a point. There are many problems which money (or wealth) have very limited effect in solving (and at the same time many where the effect is significant).
I understand your point, and for conventional research, funding is very important. But in the case of FLT (and nonapplied mathematics or any field where the practical applications are not immediately obvious), money (or wealth) is a not large factor at all. Large monetary prizes have been offered for FLT but they came up with nothing for centuries. Perelman was not motivated by the monetary award from CMI. And in my opinion, if all the world's resources were devoted to proving the Collatz conjecture, we still wouldn't have a proof within the next decade (and that's a conservative estimate).
Money didn't prove Fermat's Last Theorem.
A lot of the time it takes more than money; it takes insight, ingenuity, and devotion. Money helps because then more people are trying to solve the problem, but it doesn't make it trivial.
Hm, I would rather lose my privacy to the government than to everyone including the government.
But I can see where you're going. A video of me smoking pot at a street corner is clearly of no interest to the public but possibly of interest to the government.
But that has more to do with the fact that surveillance cameras are always recording whereas personal cameras record at selective moments.
I mean, if the government publicly posted all their surveillance footage, I don't think it would make it any better (for me at least).
Is YouTube not a "centralized organization?"
You don't need a warrant to watch a video on YouTube.
What I'm wondering is, what does a hypothetical situation in which the United States invades Mexico and Canada and tortures/beheads Mexicans and Canadians have to do with documented actions that the United States has carried out in the past?
Are you trying to claim that wanting to kill people is equivalent to actually doing it?
The United States of America carried out one of the most successful genocides in the history of mankind. How many American Indians (Native Americans) do you know?
It was funded by private donations. From Wikipedia,
As of 31 Oct 2006, $23.8 million has been raised in donations and the museum is expected to open in the spring of 2007.
I'm running it on Windows. I've noticed improved memory usage. I've had no crashes or problems.
Many of the features Yahoo gives are available in mail clients (e.g. Thunderbird). Gmail provides POP3 service, whereas Yahoo does not (you have to pay for it). That alone causes me to prefer Gmail over Yahoo mail.
I just bypass it. How to bypass WGA
I've got a question: I installed that extension and I'm trying to figure out what caused the leak. For example, I get this when I go to google and close the tab: handleEvent function (e) { InstallAC(f, f.q, f.btnG, "search", "en); }
Am I the only one that has problem hearing the girl in Daredevil? Hopefully they fix that for the actual ad or no one's going to know what the hell the ad was about