Calculus Spivak's Calc Book: Preparing for Calc 3?

[Rijad Hadzic]

I've taken Calc 1 and Calc 2 at community college, but I'm looking to strengthen my foundation. I found his book free on google. Will his book also get me through Calc 3 though?

 

[The Bill]

No, Spivak only overs single-variable calculus. He covers it in a nicer way than the typical texts, but doesn't cover what a typical calculus 3 course does.

 

[Rijad Hadzic]

No, Spivak only overs single-variable calculus. He covers it in a nicer way than the typical texts, but doesn't cover what a typical calculus 3 course does.

What would you recommend for calc 3 that's of similar rigor?

 

[fresh_42]

What would you recommend for calc 3 that's of similar rigor?

These are a good alternative:
https://openstax.org/subjects

 

[mathwonk]

i recommend going through spivak before attacking a calc 3 book at the same level. Spivak is miles above whatever you have probably taken calc 1,2 from. another option is to go through Apostol volumes 1 and 2 which does cover calc of several variables. Or Courant, vols 1,2. for an older style but very strong presentation.

 

[Buffu]

What would you recommend for calc 3 that's of similar rigor?

Analysis on Manifolds by James Munkres.

 

[MidgetDwarf]

A good alternative to Spivak, but less rigorous, would be Moise calculus. This is recommend for the average student. You can later jump to Shilov's Analysis book.

 

[mathwonk]

Incidentally, Mike earns his living primarily from sales of this book, so I would encourage you to actually buy a copy. Many copies are available online for not that great a price, considering the value therein. E.g.

https://www.abebooks.com/servlet/Bo...michael+spivak&cm_sp=snippet-_-srp1-_-title26