{"product_id":"euclidean-distance-matrices-and-their-applications-in-rigidity-theory-9783319978451","title":"Euclidean Distance Matrices and Their Applications in Rigidity Theory","description":"\u003cp\u003e • Author(s): Abdo Y. Alfakih\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Probability \u0026amp; Statistics - General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003eThis 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. \u003cbr\u003e\u003ci\u003eEuclidean Distance Matrices and Their Applications in Rigidity Theory\u003c\/i\u003e 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 our approach. 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.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Hardcover","offer_id":45279141068951,"sku":"9783319978451","price":7994.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783319978451.webp?v=1769292793","url":"https:\/\/atlanticbooks.com\/products\/euclidean-distance-matrices-and-their-applications-in-rigidity-theory-9783319978451","provider":"Atlantic Books","version":"1.0","type":"link"}