{"product_id":"the-trachtenberg-speed-system-of-basic-mathematics-1","title":"The trachtenberg speed system of basic mathematics by Jakow Trachtenberg |Rudolph McShane| Ann Cutler [rare books]","description":"\u003ch3 data-start=\"197\" data-end=\"216\" class=\"\"\u003eBook Summary\u003c\/h3\u003e\n\u003cp data-start=\"218\" data-end=\"296\" class=\"\"\u003e\u003cspan class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"\u003eThe book systematically presents various methods for high-speed arithmetic, including:\u003c\/span\u003e\u003c\/p\u003e\n\u003cul data-start=\"298\" data-end=\"964\"\u003e\n\u003cli data-start=\"298\" data-end=\"404\" class=\"\"\u003e\n\u003cp data-start=\"300\" data-end=\"404\" class=\"\"\u003eRapid Multiplication: \u003cspan class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"\u003eTechniques for multiplying large numbers efficiently.\u003c\/span\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"406\" data-end=\"534\" class=\"\"\u003e\n\u003cp data-start=\"408\" data-end=\"534\" class=\"\"\u003eSpeed Multiplication (\"Two-Finger\" Method): \u003cspan class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"\u003eA unique approach that simplifies multiplication processes.\u003c\/span\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"536\" data-end=\"646\" class=\"\"\u003e\n\u003cp data-start=\"538\" data-end=\"646\" class=\"\"\u003eAddition and Subtraction: \u003cspan class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"\u003eStrategies to perform these operations swiftly.\u003c\/span\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"648\" data-end=\"742\" class=\"\"\u003e\n\u003cp data-start=\"650\" data-end=\"742\" class=\"\"\u003eDivision: \u003cspan class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"\u003eMethods to divide numbers quickly and accurately.\u003c\/span\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"744\" data-end=\"854\" class=\"\"\u003e\n\u003cp data-start=\"746\" data-end=\"854\" class=\"\"\u003eSquares and Square Roots: \u003cspan class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"\u003eTechniques to calculate squares and square roots with ease.\u003c\/span\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003cli data-start=\"856\" data-end=\"964\" class=\"\"\u003e\n\u003cp data-start=\"858\" data-end=\"964\" class=\"\"\u003eAlgebraic Descriptions: \u003cspan class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"\u003eTheoretical underpinnings and logical explanations of the methods.\u003c\/span\u003e\u003c\/p\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003cp data-start=\"966\" data-end=\"1044\" class=\"\"\u003e\u003cspan class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"\u003eThese techniques are designed to be intuitive and can be performed mentally, making them accessible to individuals without advanced mathematical backgrounds.\u003c\/span\u003e\u003c\/p\u003e\n\u003ch3 data-start=\"1051\" data-end=\"1074\" class=\"\"\u003eAbout the Author\u003c\/h3\u003e\n\u003cp data-start=\"1076\" data-end=\"1314\" class=\"\"\u003e\u003cspan class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"\u003e\u003cstrong\u003eJakow Trachtenberg\u003c\/strong\u003e (1888–1951) was a Russian-born engineer and mathematician.\u003c\/span\u003e \u003cspan class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"\u003eAfter fleeing Russia following the Bolshevik Revolution, he settled in Germany.\u003c\/span\u003e \u003cspan class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"\u003eDuring World War II, Trachtenberg was imprisoned in Nazi concentration camps, where he developed his system of rapid mental arithmetic.\u003c\/span\u003e \u003cspan class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"\u003eHis methods were created under extreme conditions, demonstrating his resilience and ingenuity.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp data-start=\"1145\" data-end=\"1239\" class=\"\"\u003e\u003cstrong data-start=\"1145\" data-end=\"1159\"\u003eAnn Cutler\u003c\/strong\u003e: \u003cspan class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"\u003eA translator who worked on making Trachtenberg's methods accessible to English-speaking audiences.\u003c\/span\u003e\u003c\/p\u003e\n\u003cp data-start=\"1243\" data-end=\"1342\" class=\"\"\u003e\u003cstrong data-start=\"1243\" data-end=\"1262\"\u003eRudolph McShane\u003c\/strong\u003e: \u003cspan class=\"relative -mx-px my-[-0.2rem] rounded px-px py-[0.2rem] transition-colors duration-100 ease-in-out\"\u003eAnother translator who contributed to bringing Trachtenberg's system to a wider audience.\u003c\/span\u003e\u003c\/p\u003e","brand":"Clapping Pages","offers":[{"title":"Used","offer_id":45156566663354,"sku":"2E1OQECHU-Used","price":29.0,"currency_code":"AED","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0713\/5576\/0826\/files\/trrrt.jpg?v=1758033349","url":"https:\/\/clappingpages.com\/products\/the-trachtenberg-speed-system-of-basic-mathematics-1","provider":"Clapping Pages","version":"1.0","type":"link"}