Multivariable Calculus Books

Question

I am an undergraduate student currently taking a course in Multivariable Calculus. Long story short, I took a hiatus from doing any sort of serious mathematics for a couple of years, and now that I am back I am finding it difficult to pick up where I left off.

The "textbook" that we are using is more of a collection of notes, lacking any sort of practice problems, other than in-text, usually trivial proofs, and I find that the practice problems posted (usually about 5-10 per week) are insufficient practice for me.

I am posting to see if any of you have suggestions for a good multivariable calculus textbook that has clear and detailed explanations, and lots of practice problems.

Any suggestions are greatly appreciated.

Answer 1

Try

• A Course in Multivariable Calculus and Analysis by Ghorpade, Sudhir R., Limaye, Balmohan V. [Springer link]
• Calculus. Vol 2 ., Multi Variable Calculus and Linear Algebra, with Applications to Differential Equations and Probability by Tom M Apostol (Pdf !)

Answer 2

See Calculus with Analytic Geometry by George Finlay Simmons. A student friendly book with many relevant exercises.