{"product_id":"geometrical-landscapes-amir-r-alexander-9780804732604","title":"Geometrical Landscapes: The Voyages of Discovery and the Transformation of Mathematicalpractice","description":"This challenging book argues that a new way of speaking of mathematics and describing it emerged at the end of the sixteenth century. Leading mathematicians like Hariot, Stevin, Galileo, and Cavalieri began referring to their field in terms drawn from the exploration accounts of Columbus and Magellan. As enterprising explorers in search of treasures of knowledge, these mathematicians described themselves as sailing the treacherous seas of mathematics, facing shipwreck on the shoals of paradox, and seeking shelter and refuge on the shores of geometrical demonstrations. Mathematics, formerly praised for its logic, clarity, and inescapable truths, was for them a hazardous voyage in inhospitable geometrical lands. \u003cp\u003e\u003c\/p\u003eSignificantly, many of the same practitioners who promoted the vision of mathematics as heroic exploration also played central roles in developing the most important mathematical innovation of the period--the infinitesimal methods. This was no coincidence: the heroic tales of exploration and discovery helped shape a new form of mathematical practice, complete with new questions, new acceptable answers, and new standards of evidence. It was this new vision of mathematics as a grand adventure that allowed for the development of the new techniques that led to the Newtonian calculus. \u003cp\u003e\u003c\/p\u003eIn demonstrating this, the book moves from real voyages to imaginary ones, from the coasts of the Canadian Arctic to the tropical forests of Guyana, and from the inner structure of matter to the intricacies of the mathematical continuum. Throughout, a common rhetoric and imagery of exploration and discovery run like a thread through these diverse elements and bind them together. \u003cp\u003e\u003c\/p\u003e\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Amir R. Alexander\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 0804732604\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9780804732604\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Stanford University Press\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 07\/29\/2002\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 312\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Hardcover\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 1.20lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.35h x 6.39w x 0.92d\u003cbr\u003e\u003cbr\u003e\u003cb\u003eReview Citation(s): \u003c\/b\u003e\u003cbr\u003e\u003ci\u003eChoice\u003c\/i\u003e 02\/01\/2003 pg. 1003","brand":"Amir R. Alexander","offers":[{"title":"Hardcover","offer_id":43926216245503,"sku":"9780804732604","price":80.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/products\/img_9242c191-fe37-4655-aa03-35792c7c9d7a.jpg?v=1681081844","url":"https:\/\/www.whiterainbookhouse.com\/products\/geometrical-landscapes-amir-r-alexander-9780804732604","provider":"WR Book House","version":"1.0","type":"link"}