{"product_id":"9781462825448","title":"The Algebraic Solutions to Minimum and Maximum Problems","description":"This book is a how-to-do booklet. The geometric problems have the answers to each max and min solution.  The high school and community college student should verify each solution by using values before and after that are close to the answers. A knowledge of only algebra avoids the use of calculus. This approach shows how algebraic formulae can be created. The use of a dimensionless multiplier is the way to avoid the use of calculus. The number of calculations is made easier with the use of a programmable calculator or a computer using some programmable language.","brand":"Xlibris Corporation","offers":[{"title":"Default Title","offer_id":47143834419440,"sku":"9781462825448","price":9.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781462825448_p0.jpg?v=1763678830","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781462825448","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}