The Sages discuss the creation of the first woman from a perspective that views man and woman as two halves of a single entity.
Rabbi Yirmeya ben Elazar said: When the Holy One, blessed be He, created Adam the first person, He created him androgynous. That is what is written: “Male and female He created them” (Genesis 5:2). Rabbi Shmuel bar Nahman said: When the Holy One, blessed be He, created Adam the first person, He created him with two fronts, and He then split him and made for him two backs – one here and one there. Rabbi Yohanan said: Adam and Eve were created at the developmental age of approximately twenty years old. (BereshitRabba 8, 14)