Are the ancient Egyptian writing and hieroglyphics the same thing?
Not exactly. Not all Egyptian writing was hieroglyphic, and not
all hieroglyphic writing was Egyptian.
Hieroglyphics is a general term for picture-based writing
systems, and the ancient Egyptians were not the only people to
invent such a system. Ancient Mayan and Luwian (a language of Asia
Minor) were also written using hieroglyphs (which looked very
different from the Egyptian kind).
At the same time, the ancient Egyptians had other writing
systems. Hieratic, a form of cursive writing using ink on papyrus,
existed alongside hieroglyphics from the very beginning. Another
cursive form of writing, demotic, later developed from hieratic.
Ultimately all of these writing systems were replaced by the Coptic
alphabet, which was derived from the Greek alphabet.