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008 210731s2022 nju ob 001 0 eng
010 _a 2021028030
020 _a9781944660529 (Pbk)
020 _z9781800610651
_q(hardcover)
020 _z9781800610866
_q(paperback)
040 _aDLC
_beng
_erda
_cIISERB
_dDLC
042 _apcc
050 0 0 _aQA402.5
082 0 0 _a519.6 C194C
_223
100 1 _aCarlier, Guillaume.
_930181
245 1 0 _aClassical and modern optimization
_cGuillaume Carlier, Université Paris Dauphine, France.
260 _aSingapore:
_bWorld Scientific,
_c2024.
263 _a2110
300 _axiii, 371p.
490 0 _aAdvanced textbooks in mathematics,
_x2059-769X
504 _aIncludes bibliographical references and index.
505 0 _aTopological and functional analytic preliminaries -- Differential calculus -- Convexity -- Optimality conditions for differentiable optimization -- Problems depending on a parameter -- Convex duality and applications -- Iterative methods for convex minimization -- When optimization and data meet -- An invitation to the calculus of variations.
520 _a"The quest for the optimal is ubiquitous in nature and human behavior. The field of mathematical optimization has a long history and remains active today, particularly in the development of machine learning. Classical and Modern Optimization presents a self-contained overview of classical and modern ideas and methods in approaching optimization problems. The approach is rich and flexible enough to address smooth and non-smooth, convex and non-convex, finite or infinite-dimensional, static or dynamic situations. The first chapters of the book are devoted to the classical toolbox: topology and functional analysis, differential calculus, convex analysis and necessary conditions for differentiable constrained optimization. The remaining chapters are dedicated to more specialized topics and applications. Valuable to a wide audience, including students in mathematics, engineers, data scientists or economists, Classical and Modern Optimization contains more than 200 exercises to assist with self-study or for anyone teaching a third- or fourth-year optimization class"--
650 0 _aMathematical optimization.
_930182
776 0 8 _iPrint version:
_aCarlier, Guillaume.
_tClassical and modern optimization
_dHackensack, New Jersey : World Scientific, [2022]
_z9781800610651
_w(DLC) 2021028029
906 _a7
_brip
_corignew
_d1
_eecip
_f20
_gy-gencatlg
942 _2ddc
_cBK
999 _c10299
_d10299