Final answer:
The book written by Betty Friedan that ignited the contemporary women's movement in 1963 is 'The Feminine Mystique.' It challenged societal expectations of women as homemakers and advocated for gender equality and women's rights.
Step-by-step explanation:
The book written by Betty Friedan that ignited the contemporary women's movement in 1963 and permanently transformed the social fabric of the United States and countries around the world is The Feminine Mystique. In this book, Friedan challenged the societal expectations of women as homemakers and argued for gender equality and women's rights. The publication of The Feminine Mystique marked the popular emergence of second-wave feminism and played a significant role in raising awareness about systemic sexism and advocating for women's liberation.