{"product_id":"9789819200634","title":"The Least Square Solution to an Overdetermined System Theory and Applications","description":"\u003ch3\u003eSpringerBriefs in Applied Sciences and Technology SpringerBriefs in Mathematical Methods\u003c\/h3\u003e\u003ch1\u003eThe Least Square Solution to an Overdetermined System\u003c\/h1\u003e\u003ch2\u003eTheory and Applications\u003c\/h2\u003e\u003ch3\u003eTakashi Takiguchi\u003c\/h3\u003e\u003cdiv\u003e\u003cb\u003eMathematics \/ Algebra \/ Linear\u003c\/b\u003e\u003c\/div\u003e\u003cbr\u003e\u003cdiv\u003e\n\u003cp\u003eThis book addresses a gap in elementary linear algebra: while solving systems of linear equations with multiple solutions is standard, analyzing overdetermined systems with no solution—common in practical applications—is rarely taught. We develop a theory for such systems using the concept of least-squares solutions, grounded entirely in elementary linear algebra. Unlike approaches based on the Moore–Penrose inverse, which require advanced tools such as singular value decomposition, our method relies only on basic principles yet performs effectively in real-world contexts. Practical applications include non-destructive inspection of concrete structures, GNSS-based position detection, and the implementation of computerized tomography. Designed as a monograph for researchers and educators, this book can also serve as a graduate or advanced undergraduate textbook for students interested in applied mathematics. It is equally suitable for senior undergraduate research projects and for engineers seeking accessible mathematical tools for practical problems.\u003c\/p\u003e\r\n\u003cp\u003e \u003c\/p\u003e\n\u003c\/div\u003e\u003cdiv\u003e\u003cp\u003eTakashi Takiguchi is an associate professor at National Defense Academy of Japan. \u003c\/p\u003e\u003c\/div\u003e\u003cbr\u003e\u003ctable\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublication Date: \u003c\/td\u003e\n\u003ctd\u003e09 July 2026\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePublisher: \u003c\/td\u003e\n\u003ctd\u003eSpringer Nature Singapore\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eImprint: \u003c\/td\u003e\n\u003ctd\u003eSpringer\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eISBN-13: \u003c\/td\u003e\n\u003ctd\u003e9789819200634\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003eFormat: \u003c\/td\u003e\n\u003ctd\u003ePaperback \/ softback\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003ctr\u003e\n\u003ctd\u003ePage Count: \u003c\/td\u003e\n\u003ctd\u003e86\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e","brand":"Springer Nature Singapore","offers":[{"title":"Default Title","offer_id":46918019940492,"sku":"9789819200634","price":143.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9789819200634.jpg?v=1780594729","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9789819200634","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}