{"product_id":"euclidean-distance-matrices-and-their-applications-in-rigidity-theory-von-abdo-y-alfakih","title":"Euclidean Distance Matrices and Their Applications in Rigidity Theory","description":"\n                                This book offers a comprehensive and accessible exposition of Euclidean Distance Matrices (EDMs) and rigidity theory of bar-and-joint frameworks. It is based on the one-to-one correspondence between EDMs and projected Gram matrices. Accordingly the machinery of semidefinite programming is a common thread that runs throughout the book. As a result, two parallel approaches to rigidity theory are presented. The first is traditional and more intuitive approach that is based on a vector representation of point configuration. The second is based on a Gram matrix representation of point configuration. \n                \n                \u003cbr\u003e\n                                \n                \u003ci\u003eEuclidean Distance Matrices and Their Applications in Rigidity Theory\u003c\/i\u003e\n                                 begins by establishing the necessary background needed for the rest of the book. The focus of Chapter 1 is on pertinent results from matrix theory, graph theory and convexity theory, while Chapter 2 is devoted to positive semidefinite (PSD) matrices due to the key role these matrices play in ourapproach. Chapters 3 to 7 provide detailed studies of EDMs, and in particular their various characterizations, classes, eigenvalues and geometry. Chapter 8 serves as a transitional chapter between EDMs and rigidity theory. Chapters 9 and 10 cover local and universal rigidities of bar-and-joint frameworks. This book is self-contained and should be accessible to a wide audience including students and researchers in statistics, operations research, computational biochemistry, engineering, computer science and mathematics.\n            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783030074173\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e\u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9783319978451\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9783030074173","offer_id":39423032000605,"sku":"9783030074173","price":96.29,"currency_code":"EUR","in_stock":true},{"title":"Hardcover - 9783319978451","offer_id":32915914850397,"sku":"9783319978451","price":117.69,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/7f4ce797-9dd5-4401-9f04-74f0313f922a.jpg?v=1772170736","url":"https:\/\/shop.autorenwelt.de\/products\/euclidean-distance-matrices-and-their-applications-in-rigidity-theory-von-abdo-y-alfakih","provider":"Autorenwelt Shop","version":"1.0","type":"link"}