HIGHLY Rigorous Treatment of the Trigonometric Functions

[Math Amateur]

I am looking for a rigorous (preferably HIGHLY rigorous) treatment of the trigonometric functions from their definitions through to basic relationships and inequalities through to their differentiation and integration ... and perhaps further ...

Can someone please suggest

(i) an online resource for this ...

(ii) a textbook chapter ...

Peter

 

[Prove It]

What part of Oz are you from Peter? If Melbourne, I can tutor you...

 

[Math Amateur]

What part of Oz are you from Peter? If Melbourne, I can tutor you...

Hi Prove It,

I am from Hobart, Tasmania

Thanks for the kind offer though ...

Peter

 

[Prove It]

Could always be done over Skype though :)

 

[John Harris1]

I am looking for a rigorous (preferably HIGHLY rigorous) treatment of the trigonometric functions from their definitions through to basic relationships and inequalities through to their differentiation and integration ... and perhaps further ...

Can someone please suggest

(i) an online resource for this ...

(ii) a textbook chapter ...

Peter

Hi Peter,
A good resource for free e-books if archive.org. For books on trig, you could look at
https://archive.org/search.php?query=trigonometry

 

[Math Amateur]

Hi Peter,
A good resource for free e-books if archive.org. For books on trig, you could look at
https://archive.org/search.php?query=trigonometry

Thanks for the help, John ... ...

I also found an interesting discussion of

[h=1]The best way to introduce trigonometric functions in a rigorous analysis course
[/h]at Math Stack Exchange ... ...

See

undergraduate education - The best way to introduce trigonometric functions in a rigorous analysis course - Mathematics Educators Stack ExchangePeter