Book Recommendations in Multivariable Calculus

[Wrichik Basu]

I am almost on the verge of completing single-variable Calculus, and I've got a book on the same by I. A. Maron. So, after getting a good grip on single-variable Calculus, I want to start with multivariable.

Can anyone recommend me good books on multivariable Calculus with which I could begin, and some more with good problems?

 

[PeroK]

I am almost on the verge of completing single-variable Calculus, and I've got a book on the same by I. A. Maron. So, after getting a good grip on single-variable Calculus, I want to start with multivariable.

Can anyone recommend me good books on multivariable Calculus with which I could begin, and some more with good problems?

You could always start here:

http://tutorial.math.lamar.edu/

 

[Wrichik Basu]

You could always start here:

http://tutorial.math.lamar.edu/

Online tutorials are very good, but any books?

 

[PeroK]

Online tutorials are very good, but any books?

If I had a book to recommend, I would have recommended a book.

 

[Wrichik Basu]

If I had a book to recommend, I would have recommended a book.

Anyways, thank you.

 

[mathwonk]

Maybe Edwards and Penney? Hard to know what kind of book you want. there are so many with so many different appropaches and levels of abstraction. Courant is a classic and for a more theoretical treatment I liked Fleming, Calculus of several variables. I A Maron seems like just a problem book.

 

[Wrichik Basu]

Maybe Edwards and Penney? Hard to know what kind of book you want. there are so many with so many different appropaches and levels of abstraction. Courant is a classic and for a more theoretical treatment I liked Fleming, Calculus of several variables. I A Maron seems like just a problem book.

I A Maron is used only as a problem book after learning Calculus.

 

[Buffu]

Do you know linear algebra ?

 

[mathwonk]

if you tell us what book you learned single variable calculus and whether you liked it we could suggest a similar several variables book. or as often happens the same author may have a several variables book you could look at on your own. or are you looking for something with a different approach from your single variables book. or re you looking for a problem book in several variables?

 

[Wrichik Basu]

Do you know linear algebra ?

Linear algebra is a vast discipline; if you tell me a few topics, I may be able to say whether I've studied them.

 

[Wrichik Basu]

if you tell us what book you learned single variable calculus and whether you liked it we could suggest a similar several variables book. or as often happens the same author may have a several variables book you could look at on your own. or are you looking for something with a different approach from your single variables book. or re you looking for a problem book in several variables?

I will surely name the book, but I know you'll not know it. I'm from Kolkata, India. Here, there is a famous book named "Higher Mathematics" by S. N. De. The book is very ideal for learning single variable Calculus at preliminary level, and hosts a good deal of exercises also.

I'm looking for a book from where I can learn multivariable Calculus, and also practice a few problems.

 

[mathwonk]

well you are still not giving me much to go on. I have already suggested 3 good books. Have you tried to look them up? Another one is the several variables calculus book by Lang.

https://www.amazon.com/dp/0387964053/?tag=pfamazon01-20here is another excellent one:

https://www.amazon.com/Calculus-Vector-Functions-Richard-Williamson/dp/013112367X/ref=sr_1_1?s=books&ie=UTF8&qid=1496613815&sr=1-1&keywords=williamson,+crowell,+trotter

 

[Wrichik Basu]

well you are still not giving me much to go on. I have already suggested 3 good books. Have you tried to look them up? Another one is the several variables calculus book by Lang.

https://www.amazon.com/dp/0387964053/?tag=pfamazon01-20here is another excellent one:

https://www.amazon.com/Calculus-Vector-Functions-Richard-Williamson/dp/013112367X/ref=sr_1_1?s=books&ie=UTF8&qid=1496613815&sr=1-1&keywords=williamson,+crowell,+trotter

Edwards and Penney I've ordered for, and Lang and the other one I'll buy next week probably.

Thank you for the recommendations.

 

[mathwonk]

if you are willing to ask some of my Indian friends, they may know more about your books and may give better recommendations.

here is one, a famous indian algebraic geometer, S. Ramanan, of TIFR and Chennai Institute:

http://www.cmi.ac.in/people/fac-profile.php?id=sramanan

 

[mr.tea]

When I studied multivariable, I really liked Apostol Calculus,vol. 2. I really liked his exposition. Also the book by Williamson, Crowell, Trotter, as mathwonk said, is indeed fabulous.
By the way, since people tend to buy books, it will be quite easy to borrow a good book from the library for the whole semester, so you can save a lot of your money.

 

[Wrichik Basu]

When I studied multivariable, I really liked Apostol Calculus,vol. 2. I really liked his exposition. Also the book by Williamson, Crowell, Trotter, as mathwonk said, is indeed fabulous.
By the way, since people tend to buy books, it will be quite easy to borrow a good book from the library for the whole semester, so you can save a lot of your money.

My semester is long to come, and it's a 2 year time after which I can call it semester. I'm in school currently, class XI, and my school library has no books on this topic.

 

[mr.tea]

My semester is long to come, and it's a 2 year time after which I can call it semester. I'm in school currently, class XI, and my school library has no books on this topic.

The books mentioned above are quite good, and you can't really go wrong with them. You can always supplement it with nice and visual examples from the web, such as Paul's Online Math Notes(http://tutorial.math.lamar.edu/Classes/CalcIII/MultiVrbleFcns.aspx), and mathinsight. Try to learn it and visualize the theory and problems as much as you can.

 

[Buffu]

Apostol Calculus,vol. 2

How is the printing quality of that book ?

 

[Wrichik Basu]

How is the printing quality of that book ?

Means? I got the book online here:

Removed by mentor due to copyright infringement.

 

[Buffu]

Means? I got the book online here:

Then as you can see it is not very readable.

 

[Wrichik Basu]

Then as you can see it is not very readable.

Why, I can read it well, because I've already read several books of this type of print (which I had inherited from my grandfather).

It's not that bad. Although I've not gone through the text, if you are concerned about the font and print, it's OK with me.

 

[Buffu]

Why, I can read it well, because I've already read several books of this type of print (which I had inherited from my grandfather).

It's not that bad. Although I've not gone through the text, if you are concerned about the font and print, it's OK with me.

Yes you are correct it is not quite as bad as the printed book in library but I still noticed some missing characters and ugly operators.

 

[Wrichik Basu]

Yes you are correct it is not quite as bad as the printed book in library but I still noticed some missing characters and ugly operators.

These prints always have some of these problems, but you have to work with them if you want to save money

 

[mr.tea]

How is the printing quality of that book ?

The paperback which is sold by Wiley India? I wish I knew. Apostol for 15 pounds per volume sounds nice! Although there are some reviews that says the print quality is not really good.

Means? I got the book online here:

This is also a great source for free books. You can find there some great books, and it's free(and legal)!

 

[Wrichik Basu]

This is also a great source for free books. You can find there some great books, and it's free(and legal)!

I've downloaded several books from there, including D. J. Griffiths books.

 

[mr.tea]

I've downloaded several books from there, including D. J. Griffiths books.

You can find there tons of classics, it's just unbelievable!

 

[Buffu]

The paperback which is sold by Wiley India? I wish I knew. Apostol for 15 pounds per volume sounds nice! Although there are some reviews that says the print quality is not really good.

No it was the hardcover. I think it was the bad boy of the lot.
Wiley India is known for spewing all the stuff in India in the form of cheap paperbacks. I don't get the reason for making cheap low quality books.

 

[mr.tea]

No it was the hardcover. I think it was the bad boy of the lot.
Wiley India is known for spewing all the stuff in India in the form of cheap paperbacks. I don't get the reason for making cheap low quality books.

I used the hardcover from our library(quite a lot I can say), both volumes, second edition, and I don't remember anything bad with the printing quality.
They try to make it affordable, which is a good thing indeed. However, they should also keep the printing quality suitable for humans. Dover should give them a few lessons...

 

[smodak]

Means? I got the book online here:

https://archive.org/details/in.ernet.dli.2015.135841

I am not sure that this book is made legally available on archive.

 

[berkeman]

Thread closed for Moderation...

I am not sure that this book is made legally available on archive.

The legality of that website is under review by the Mentors. If anybody has information on their copyright policy, please send me a Private Message (click on my Avatar and Start a Conversation). Thank you.

 

[Wrichik Basu]

Thread closed for Moderation...

The legality of that website is under review by the Mentors. If anybody has information on their copyright policy, please send me a Private Message (click on my Avatar and Start a Conversation). Thank you.

I request the mentors to delete appropriate posts. I never knew that the website was illegal, I thought they had obtained permission from copyright holders for free distribution of books.