{"product_id":"9781419733635","title":"Beast Rider: A Boy's Journey Beyond the Border","description":"Systems of polynomial equations play an important role in many scientific applications. But it is often rather complex and time-consuming to find all -real and complex- solutions. This book describes an efficient algorithm, which uses eigenvalues to compute all solutions of a given system of polynomial equations. For this, the theory of Gröbner bases is combined with numerical linear algebra. Also, a comparison to the performance of existing algorithms is given. Furthermore, a new algorithm to compute the primary decomposition of a zero-dimensional ideal and an algorithm to compute the number of real respectively complex roots of a system of polynomial equations using the quadratic form is delineated. All described algorithms are implemented in the computer algebra system SINGULAR.","brand":"Amulet Books","offers":[{"title":"Default Title","offer_id":47046189285616,"sku":"9781419733635","price":17.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781419733635_p0.jpg?v=1763729946","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781419733635","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}