Math Book for All Levels: From Beginner to University

[kent davidge]

(sorry for my poor english.) is there a math book for learning mathematics from the beginning until university level, like there's University Physics for physics?

 

[fresh_42]

(sorry for my poor english.) is there a math book for learning mathematics from the beginning until university level, like there's University Physics for physics?

Could you be a little more precise? From the beginning is a vast region. Also university level might strongly depend on what you intend to study there. And if your English is poor, what would be a preferred language?

 

[jedishrfu]

Not that I'm aware of. I've seen a Schaums Outline that covers much of undergraduate math in one book:

https://www.amazon.com/dp/0071635408/?tag=pfamazon01-20

and there's the Arfken and Weber reference:

https://www.amazon.com/dp/B010IKN24M/?tag=pfamazon01-20

or the Boaz:

https://www.amazon.com/dp/0471198269/?tag=pfamazon01-20

and lastly the free Prof Nearing reference:

http://www.physics.miami.edu/~nearing/mathmethods/mathematical_methods-three.pdf

There's also the MathIsPower4U.com website with a large collection of free videos on high school to undergraduate level math.

 

[kent davidge]

fresh_42 by beginning I mean from pre algebra to what you learn in the high school

jedishrfu those books are so hard for me

 

[fresh_42]

fresh_42 by beginning I mean from pre algebra to what you learn in the high school

jedishrfu those books are so hard for me

Sorry, in this area I don't have enough knowledge about english book markets.

 

[George Jones]

I mean from pre algebra to what you learn in the high school

This is covered in the first 300 to 400 pages of this pedagogical book,

https://www.amazon.com/dp/0831133279/?tag=pfamazon01-20

The remaining 900 pages (1200 pages in total!) covers mathematics from the first two years of university.

 

[jedishrfu]

This is covered in the first 300 to 400 pages of this pedagogical book,

https://www.amazon.com/dp/0831133279/?tag=pfamazon01-20

The remaining 900 pages (1200 pages in total!) covers mathematics from the first two years of university.

Stroud looks pretty good. It uses the self-teaching problem at a time approach with the answer at the start of the next problem.

Another one with a historical bent is Jan Gullberg's tome:

https://www.amazon.com/dp/039304002X/?tag=pfamazon01-20

 

[kent davidge]

George Jones
jedishrfu
great books

someone knows a good book which I can learn what are series, factorial, what are natural numbers, rational numbers, geometric and arithmetic progressions, ... ? i.e. a book which starts from the beginning of the math

 

[geoffrey159]

I suggest middle school + high school textbooks. The fundamental set of knowledge is here (except for series which is a university level topic). I recently read an excellent middle school level textbook (not in english unfortunately) and I really enjoyed myself. In particular, I did learn things that I forgot in geometry and arithmetics, and I found many interesting problems. I discovered that some adults with upper level scientific education could not solve middle school level problems, which was a real surprise.