No book is perfect. Seasoned users of Watson Fulks Advanced Calculus note three shortcomings:
| Complaint | Workaround | |-----------|-------------| | Outdated notation (e.g., using ( D_k ) instead of ( \partial / \partial x_k )) | Mentally translate; modern notation is easy to overlay in your notes. | | Weak multivariable chain rule explanation | Supplement with Chapter 2 of Vector Calculus by Marsden and Tromba. | | No solution manual for odd problems | Collaborate with others; many solutions are posted on Physics Forums or Math Stack Exchange. | Watson Fulks Advanced Calculus Pdf
One of the standout features of the book is its thorough treatment of the real number system. Rather than taking the properties of real numbers for granted, Fulks constructs them from the ground up, introducing the Completeness Axiom—the cornerstone upon which all of real analysis is built. No book is perfect
Do not open Fulks if you have not mastered: | | No solution manual for odd problems
Fulks includes over 800 exercises, graded by difficulty (A, B, C). Do at least: