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001446409 001__ 1446409
001446409 003__ OCoLC
001446409 005__ 20230310003956.0
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001446409 008__ 220504s2022\\\\sz\a\\\\ob\\\\001\0\eng\d
001446409 019__ $$a1312714597$$a1312806699$$a1313891717
001446409 020__ $$a9783030947859$$q(electronic bk.)
001446409 020__ $$a3030947858$$q(electronic bk.)
001446409 020__ $$z9783030947842$$q(print)
001446409 020__ $$z303094784X
001446409 0247_ $$a10.1007/978-3-030-94785-9$$2doi
001446409 035__ $$aSP(OCoLC)1313909071
001446409 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dYDX$$dEBLCP$$dOCLCF$$dUKAHL$$dOCLCQ
001446409 049__ $$aISEA
001446409 050_4 $$aQA639.5
001446409 08204 $$a516/.08$$223/eng/20220504
001446409 1001_ $$aMordukhovich, B. Sh.$$q(Boris Sholimovich),$$eauthor.$$1https://isni.org/isni/0000000116115230
001446409 24510 $$aConvex analysis and beyond.$$nVolume I,$$pBasic theory /$$cBoris S. Mordukhovich, Nguyen Mau Nam.
001446409 24630 $$aBasic theory
001446409 264_1 $$aCham, Switzerland :$$bSpringer,$$c2022.
001446409 300__ $$a1 online resource (1 volume) :$$billustrations (black and white, and color).
001446409 336__ $$atext$$btxt$$2rdacontent
001446409 337__ $$acomputer$$bc$$2rdamedia
001446409 338__ $$aonline resource$$bcr$$2rdacarrier
001446409 4901_ $$aSpringer series in operations research and financial engineering
001446409 504__ $$aIncludes bibliographical references and index.
001446409 5050_ $$aFundamentals -- Basic theory of convexity -- Convex generalized differentiation -- Enhanced calculus and fenchel duality -- Variational techniques and further subgradient study -- Miscellaneous topics on convexity -- Convexified Lipschitzian analysis -- List of Figures -- Glossary of Notation and Acronyms -- Subject Index.
001446409 506__ $$aAccess limited to authorized users.
001446409 520__ $$aThis book presents a unified theory of convex functions, sets, and set-valued mappings in topological vector spaces with its specifications to locally convex, Banach and finite-dimensional settings. These developments and expositions are based on the powerful geometric approach of variational analysis, which resides on set extremality with its characterizations and specifications in the presence of convexity. Using this approach, the text consolidates the device of fundamental facts of generalized differential calculus to obtain novel results for convex sets, functions, and set-valued mappings in finite and infinite dimensions. It also explores topics beyond convexity using the fundamental machinery of convex analysis to develop nonconvex generalized differentiation and its applications. The text utilizes an adaptable framework designed with researchers as well as multiple levels of students in mind. It includes many exercises and figures suited to graduate classes in mathematical sciences that are also accessible to advanced students in economics, engineering, and other applications. In addition, it includes chapters on convex analysis and optimization in finite-dimensional spaces that will be useful to upper undergraduate students, whereas the work as a whole provides an ample resource to mathematicians and applied scientists, particularly experts in convex and variational analysis, optimization, and their applications.
001446409 588__ $$aDescription based on print version record.
001446409 650_0 $$aConvex geometry.
001446409 650_0 $$aConvex functions.
001446409 655_0 $$aElectronic books.
001446409 7001_ $$aNguyen, Mau Nam,$$eauthor.$$1https://isni.org/isni/0000000430438281
001446409 77608 $$iPrint version:$$aMordukhovich, B. Sh. (Boris Sholimovich).$$tConvex analysis and beyond. Volume I, Basic theory.$$dCham : Springer, 2022$$z9783030947842$$w(OCoLC)1308729389
001446409 830_0 $$aSpringer series in operations research.
001446409 852__ $$bebk
001446409 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-94785-9$$zOnline Access$$91397441.1
001446409 909CO $$ooai:library.usi.edu:1446409$$pGLOBAL_SET
001446409 980__ $$aBIB
001446409 980__ $$aEBOOK
001446409 982__ $$aEbook
001446409 983__ $$aOnline
001446409 994__ $$a92$$bISE