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#101 Re: Dark Discussions at Cafe Infinity » Learning mathematics fast » 2014-05-10 08:22:54
If you do not plan on doing the problems, "Basic Mathematics" is easily doable in a week with a couple of hours each day. I suggest you complement "Basic Mathematics" with "Geometry" by Lang and the NCERT books, at the very least.
I ordered basic mathematics and geometry together so I will do. I might not go through the NCERt books so much. I will only do basic problems at first. I might go through tougher problems after learning the material.
#102 Re: Dark Discussions at Cafe Infinity » Learning mathematics fast » 2014-05-10 08:09:12
Then it will take you longer, but doable in a few months.
Are you at least planning to do lots of problems afterwards?
Which books are you planning to use?
Books
Basic Mathematics
Understanding pure mathematics - D. W. S Thorning
websites
mathisfun.com
video tutorials
www.examsolutions.net
www.m4ths.com
#103 Re: Dark Discussions at Cafe Infinity » Learning mathematics fast » 2014-05-10 08:05:24
Hi;
I presumed that since you were out of school and did not have a job yet, you would be doing 10+ hours a day, which is why I mentioned that I did that material in a similar plan in a week.
<-- can't focus more than 90 minutes unless it's a video game. 
hence I do 3 hours max. I think I do 7 hours a week right now. That and I have other responsibilities like jobsearching to do. I will probably be forced to do some work soon.
#104 Re: Dark Discussions at Cafe Infinity » Learning mathematics fast » 2014-05-10 06:56:57
I went through all that material in a week. After that, I did lots and lots of problems and went through the material rigorously.
.
Either you were studying like 10 hours a day or you're smarter than you try to appear. 
I plan to go through all of that in 4-6 months. If I manage to do it faster I will be very happy.
#105 Dark Discussions at Cafe Infinity » Learning mathematics fast » 2014-05-09 10:31:39
- PatternMan
- Replies: 24
Thank you bobbym for stating how important memorization is. Memorization has a bad rap but it's good. The reason it's bad is because people memorize the procedure and rules rather than understanding the underpinnings. They memorize the surface material. It is like a kid that memorizes and follows a recipe to make a cake vs a person that knows how to make cakes. The memorizer will follow the procedure not really understanding anymore than that. The cake maker will know why he uses the materials he does. The first knows "how", the second knows "why".
I think I have a new method to learn Mathematics very fast by doing less problems, but more memorizing and thinking. I actually want to start a challenge at the end of June to see how much I can learn in a period of time. It will be high school math stuff.
Algebra & Functions
Trigonometry
Sequences & Series
Coordinate Geometry
Algebra & Series
Differentiation
Integration
#106 Re: Dark Discussions at Cafe Infinity » How has mathematics enriched your life? » 2014-05-07 10:47:24
What Nehushtan said is true. Having a mathematics degree makes you look smart and looking smart does "enrich" your life. Of course, I am sure it is not the only or the primary reason.
lol yes other people's perception of you is half the battle. When people see a math degree, especially if it's from a prestigious university then they assume you're smart and will be more likely to give you a mentally challenging job.
#107 Re: Help Me ! » How do write a proof? » 2014-05-05 10:29:17
Okay I wont worry right now but I want to start writing proofs in a year or so.
#108 Re: Help Me ! » How do write a proof? » 2014-05-05 08:08:50
Hmm..... Since there is no generally accepted way to prove something, what is considered a bad proof? Or what types of proofs are likely not to be accepted?
#109 Re: Introductions » Why I'm here » 2014-05-02 10:06:21
My copy of:
Basic Mathematics - Serge Lang
Geometry - Serge Lang
should arrive within 2 weeks. I'll probably go through them quickly and be done by mid - end of June. If I'm still passionate in the summer I'll finish the other buy and finish the other two. After that I'll either try move on to Spivak or revise all the basics. I need to have near mastery of everything upto the end of the 6th form curriculum because I plan to take the STEP exam next year. They cover pure mathematics, mechanics, and statistics.
#110 Re: Help Me ! » How do write a proof? » 2014-05-01 09:16:30
thank you! Also do you know of any link for writing geometric proofs? For sides, angles, vectors etc?
#111 Help Me ! » How do write a proof? » 2014-05-01 08:48:54
- PatternMan
- Replies: 9
I have started doing some questions that ask you to show or prove something. In algebra they ask me to prove that some types of numbers have a common pattern. You usually end up setting up an expression and equation then factoring. However there are geomtric questions that ask you to prove things about vectors, shapes, congruency, similar triangles etc. My problem is that usually there are multiple ways to do this. Actually I don't really know how to write the notation properly. I will be able to tell myself wether it is something but I'm not sure if the proof is rigorous enough. I want to know specifically what they want or not. Because there are several ways to prove and your method isn't always there as an answer.
#112 Re: Help Me ! » Help? » 2014-04-25 05:26:16
A friend sent the question to me so I don't know how it was made. I just drew the right angle triangle in ms paint.
#113 Re: Introductions » Why I'm here » 2014-04-24 14:29:52
Ah. That's fine. Learn as much as you can now and then move on to the advanced level later. Just a word of caution that you will need more mathematical knowledge (likely) than you can attain from the books you are using prior to pursuing a math or physics degree (which is what you are plannin to do).
I should have more money for books later. Will those books you recommended suffice as enough mathematics education before a degree though?
#114 Re: Introductions » Why I'm here » 2014-04-24 13:48:06
How are you doing with it?
I haven't been on for a while. I'm just going through geometry. I never did much of it. I am covering geometry and trigonometry together but not from the same book. I have been covering polygons, circle theoroms, trig ratios sin + cos rule, vectors etc. Once I am used to basic geometry and trig then going to check coordinate geometry. I'm rushing through at the moment but I plan to loop back on the material and go through harder questions. The questions I'm doing are generally easy and are just there to learn how to apply the rules properly. When I loop back on the material I'll hopefully cover questions like these and AMC ones.
http://www.mathisfunforum.com/viewtopic.php?id=20857&p=2
I haven't actually been using the books you recommended because I'm really tight on money right now. So I'm just using the subpar books from the library even if they don't give me a great understanding. Basic understanding is better than none for now.
#115 Re: Help Me ! » Help? » 2014-04-24 10:49:19
It is hard to write the solution here so I'll just explain.
Area of the biggest semi circle minus the area of the two smaller semicircles. Once you cancell down you get 1/4 pi AD times DB
Then:
You have now have a right angled triangle by the inscribed angle rule. You can now apply pythagorus theorem.
AB^2 = AC^2 + CB^2 Now AC is the hypotenuse of triangle ACD
CB is the hypotenuse of triangle CDB
So AB^2 = AD^2 + CD^2 + CD^2 + DB^2
AB^2= AD^2 + 2CD^2 + DB^2
bla bla bla
2AD x DB = 2CD^2
AD x DB = CD^2
so replace AD x DB by CD^2
#116 Re: Help Me ! » Help? » 2014-04-24 10:41:18
Where did you draw this also?
#117 Re: Help Me ! » Help? » 2014-04-24 10:40:05
See diagram below.
Your diagram is a special case where ADB is a diameter. => chord CE is bisected by ADB so CE = DE.
b
How do you write out the notation like this? I think I have another solution that works.
#118 Help Me ! » Help? » 2014-04-23 06:11:55
- PatternMan
- Replies: 40
You are seeing 3 semi circles and one whole circle. what is the area of the shaded region in terms CD?
#119 Re: Dark Discussions at Cafe Infinity » Are you is forever alone? » 2014-04-06 11:48:19
I mean you must be joking since you said "I" to not liking mathematics.
Nope, I do not like it, I love it.
Pedantic as I am, you are.
#120 Re: Dark Discussions at Cafe Infinity » Are you is forever alone? » 2014-04-06 08:37:56
I mean you must be joking since you said "I" to not liking mathematics.
#121 Re: Dark Discussions at Cafe Infinity » Are you is forever alone? » 2014-04-06 01:49:47
Blasphemy!
Hmmm.
While common definitions of loneliness describe it as a state of solitude or being alone, loneliness is actually a state of mind. Loneliness causes people to feel empty, alone and unwanted. People who are lonely often crave human contact, but their state of mind makes it more difficult to form connections with other people.
Loneliness, according to many experts, is not necessarily about being alone.
You must be joking.
#122 Re: Dark Discussions at Cafe Infinity » Are you is forever alone? » 2014-04-05 13:58:58
Anyone here who doesn't like maths say I!
I!
PatternMan;
Having a girl or not will in no way prevent you from feeling lonely.
Blasphemy!
#123 Re: Dark Discussions at Cafe Infinity » Are you is forever alone? » 2014-04-05 12:13:48
I have a steady relationship. I am pretty sure girls usually like fairly intelligent men (or in my case, children).
um... do you spend like 3 hours a day doing maths or anything? I remember most girls I dated used to deter me from any of my hobbies unless they liked it too or it made money.
#124 Re: Dark Discussions at Cafe Infinity » Are you is forever alone? » 2014-04-05 11:55:49
Hi PatternMan;
Maybe they are not trying hard enough.
and you definitely like it if you're on here.
Who says?
Anyone here who doesn't like maths say I!
#125 Dark Discussions at Cafe Infinity » Are you is forever alone? » 2014-04-05 09:10:25
- PatternMan
- Replies: 65
I'm not classifying you as a nerd but most the nerds I knew never had many relationships with women. Most never really had a girlfriend. I knew a few that studied Computer Science and got a girlfriend generally but it's not as common as with other guys I knew. People that like mathematics are considered nerdy and you definitely like it if you're on here.