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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

Hi;

What kind of math are you doing?

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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I'm learning algebra and geometry right now. I planned to learn from the basics all the way to the advanced levels, I'm done with the basics now...

*Last edited by Chris2 (2014-04-23 00:37:11)*

Science is a way of thinking much more than it is a body of knowledge.

- Carl Sagan

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

It is not a book but you might check out

and click on algebra and then geometry.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

I am not the author, MIF is. He also is the creator of the forum. I do not think he will convert it to a book but any user can download it page by page and probably convert to a pdf.

**In mathematics, you don't understand things. You just get used to them.Of course that result can be rigorously obtained, but who cares?Combinatorics is Algebra and Algebra is Combinatorics.**

**Online**

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,556

Which algebra? Abstract algebra or the high-school one?

For abstract algebra:

Aluffi - Algebra: Chapter 0

Artin - Algebra

Dummit, Foote - Abstract Algebra

Fraleigh - A First Course in Abstract Algebra

Gallian - Contemporary Abstract Algebra

Gilbert - Elements of Modern Algebra

Herstein - Topics in Algebra

Hungerford - Algebra

Isaacs - Algebra: A Graduate Course

Jacobson - Basic Algebra

Kaplansky - Fields and Rings

Knapp - Advanced Algebra

Knapp - Basic Algebra

Lang - Algebra

Lang - Undergraduate Algebra

If you mean high school level algebra and geometry:

Lang - Basic Mathematics

Loney - Plane Trigonometry

Loney - The Elements of Coordinate Geometry

Sullivan - Intermediate Algebra

Thompson - Geometry for the Practical Man

Lang - Geometry

Gelfand - Algebra

Then there are the Singapore math books, the Indian NCERT books and the Art of Problem Solving series.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

For physics I do heartily recommend the Giancoli book. As a mater of fact I used for practicing math problem solving.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,556

Hmm... I found all algebra-based physics books to be nonsensical, mainly because all of it is memorization. He/she can go through something like Giancoli, but if I were him I would wait a bit and learn calculus and then move on to The Feynman Lectures or Kleppner * Kolenkow.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

Memorization is been getting a bad name lately perhaps a bit undeserved. Where would any of us be if we went to bed tonight and forgot everything we have ever learned? Without a memory we can not build on what is already known.

I found his book to be excellent practice for problem solving in the real world. Taught me how to use trig and then vectors and finally DE's. Granted you should move on when you can.

We both are using the same line in our signature. It means that even a Von Neuman sometimes has to just memorize the technique without understanding it well. I have to do it more because I am less talented then he is. For instance I can use a PSLQ a lot easier than I can explain it.

My second line in my signature is from Gauss who often had the answer before he had the math! Over here it is not uncommon to be given the answer and to have to come up with a method, sort of back engineering things.

I would suggest the the OP hang in here for awhile and work so we can see where he is at.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,556

What I mean is blindly memorizing formulas without no knowledge of where it came from, derivation, proof etc. Without no justification at all, it becomes history, not science. Of course, memorization is very important since we have to memorize certain things.

How did you learn differential equations from an algebra-based physics book?

*Last edited by ShivamS (2014-04-23 02:27:22)*

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

Actually that is a funny story. I never was very good at sticking to the curriculum. I use the math that I know which is usually different then the test or the chapter in the book. I solved lots of his problems using what I knew rather than what he may have intended.

Funny thing was that some teachers would mark me wrong if I did not do it the way they had just taught. or if I used another branch of math that was different then what the subject of the course was.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,556

Well that's you, the exceptional bobbym.

Most people just see formula, take 10 minutes to memorize and then plug numbers in. It is not possible to derive those physics forumulae (most of them anyway) without calculus and beyond.

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

Hi;

Exceptional? No. Different? Yes. The hardest thing about the world is surviving when you are different.

Most people just see formula, take 10 minutes to memorize and then plug numbers in.

You are right about that, that is not math at all.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

Thanks for the suggestion guys, the thing is I'm still in middle school and also I'm sleeping in class because I had gone through my textbooks already that's why I need a book to read from...

Science is a way of thinking much more than it is a body of knowledge.

- Carl Sagan

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

Try daydreaming rather than sleeping. It activates the brain to produce delta waves.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

The books that you had suggested me to buy came today, and they are all in very good conditions. I'm so going to buy from Better World Books again.

Science is a way of thinking much more than it is a body of knowledge.

- Carl Sagan

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

Yikes, I will not see you for years.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

You will be too busy reading.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

But when I'm stuck I'll ask it here, so you should be seeing me for years to come.

*Last edited by Chris2 (2014-06-25 00:19:17)*

Science is a way of thinking much more than it is a body of knowledge.

- Carl Sagan

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 87,240

Hmmm, perhaps decades. See you later.

Of course that result can be rigorously obtained, but who cares?

Combinatorics is Algebra and Algebra is Combinatorics.

**Online**

Rasnick Halliday

'And fun? If maths is fun, then getting a tooth extraction is fun. A viral infection is fun. Rabies shots are fun.'

'God exists because Mathematics is consistent, and the devil exists because we cannot prove it'

'You have made another human being happy. There is no greater accomplishment.' -bobbym

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**ShivamS****Member**- Registered: 2011-02-07
- Posts: 3,556

It's great that you bought the textbooks, but why do you have two Precalculus books? Sullivan is enough.

Agnishom wrote:

Rasnick Halliday

Not the best of it's kind...

*Last edited by ShivamS (2014-06-25 01:36:13)*

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