When I learnt programming (back in early 2000s) the textbook said C is a high level 3rd generation language with 4th gen languages being something higher (I don't remember what examples were given specifically). This is back when the java applets and action script for flash were the hot things. How I miss the days without the world being cursed by JS.
I would also like to add some of the higher level features available in most assembly languages.
Memory management. You can define variables, for example, a string one containing "Hello, world!" and the compiler will correctly allocate required memory and you don't need to know its address while writing the code, you just reference the variable.
Code labels. If you want to do a conditional or unconditional jump, you need to know the address of the code you want to reach. But, obviously, every change you make to your code base will change the memory layout of your binary. Asembly provides code labels. You can think of them like function names.
Assembly allows you to reference 3rd party libraries without knowing exact function entry addresses. You just use function names like you would with C or any other language.
Modern assembly languages have even more higher level features, like macros support. And some are even hardware agnostic, like intermediate representation assembly language used in LLVM.
When the gp's book says that C is a third generation language: I would guess the first generation is Fortran and the second generation contains ALGOL and BCPL. C was heavily influenced by BCPL. (get it? C comes after B)