{"product_id":"discrete-convex-analysis-9781611972559","title":"Discrete Convex Analysis","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003e\u003cem\u003eDiscrete Convex Analysis\u003c\/em\u003e is a novel paradigm for discrete optimization that combines the ideas in continuous optimization (convex analysis) and combinatorial optimization (matroid\/submodular function theory) to establish a unified theoretical framework for nonlinear discrete optimization. The study of this theory is expanding with the development of efficient algorithms and applications to a number of diverse disciplines like matrix theory, operations research, and economics.\u003cbr\u003e\u003cbr\u003eThis self-contained book is designed to provide a novel insight into optimization on discrete structures and should reveal unexpected links among different disciplines. It is the first and only English-language monograph on the theory and applications of discrete convex analysis.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003e\u003cul\u003e\n\u003cli\u003eList of Figures\u003c\/li\u003e\n\u003cli\u003eNotation\u003c\/li\u003e\n\u003cli\u003ePreface\u003c\/li\u003e\n\u003cli\u003eChapter 1: Introduction to the Central Concepts\u003c\/li\u003e\n\u003cli\u003eChapter 2: Convex Functions with Combinatorial Structures\u003c\/li\u003e\n\u003cli\u003eChapter 3: Convex Analysis, Linear Programming, and Integrality\u003c\/li\u003e\n\u003cli\u003eChapter 4: M-Convex Sets and Submodular Set Functions\u003c\/li\u003e\n\u003cli\u003eChapter 5: L-Convex Sets and Distance Functions\u003c\/li\u003e\n\u003cli\u003eChapter 6: M-Convex Functions\u003c\/li\u003e\n\u003cli\u003eChapter 7: L-Convex Functions\u003c\/li\u003e\n\u003cli\u003eChapter 8: Conjugacy and Duality\u003c\/li\u003e\n\u003cli\u003eChapter 9: Network Flows\u003c\/li\u003e\n\u003cli\u003eChapter 10: Algorithms\u003c\/li\u003e\n\u003cli\u003eChapter 11: Application to Mathematical Economics\u003c\/li\u003e\n\u003cli\u003eChapter 12: Application to Systems Analysis by Mixed Matrices\u003c\/li\u003e\n\u003cli\u003eBibliography\u003c\/li\u003e\n\u003cli\u003eIndex.\u003c\/li\u003e\n\u003cli\u003e\u003cul\u003e\u003c\/ul\u003e\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"Society for Industrial \u0026 Applied Mathematics,U.S.","offers":[{"title":"Default Title","offer_id":50578260787543,"sku":"9781611972559","price":136.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9781611972559.jpg?v=1746098576","url":"https:\/\/bookcurl.com\/products\/discrete-convex-analysis-9781611972559","provider":"Book Curl","version":"1.0","type":"link"}