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Classical and modern optimization /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Classical and modern optimization /Guillaume Carlier, Université Paris Dauphine, France.
Author:	Carlier, Guillaume,
Description:	xiii, 371 pages ;24 cm.
Subject:	Mathematical optimization.
ISBN:	9781800610651

Classical and modern optimization /
Carlier, Guillaume,

Classical and modern optimization /Guillaume Carlier, Université Paris Dauphine, France. - xiii, 371 pages ;24 cm. - Advanced textbooks in mathematics,2059-769X.

Includes bibliographical references and index.

Topological 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.

"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"--

ISBN: 9781800610651

CODEN: cam 2200433 i 4500

LCCN: 2021028029

Nat. Bib. No.: GBC1F8169bnb

Nat. Bib. Agency Control No.: 020334628UkSubjects--Topical Terms:

183292
Mathematical optimization.

LC Class. No.: QA402.5 / .C367 2022

Dewey Class. No.: 519.6

Classical and modern optimization /
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245 1 0 $a Classical and modern optimization / $c Guillaume Carlier, Université Paris Dauphine, France.
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490 0 $a Advanced textbooks in mathematics, $x 2059-769X
504 $a Includes bibliographical references and index.
505 0 $a Topological 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"-- $c Provided by publisher.
650 0 $a Mathematical optimization. $3 183292
650 6 $a Optimisation mathématique. $3 916330
776 0 8 $i Online version: $a Carlier, Guillaume. $t Classical and modern optimization $d Hackensack, New Jersey : World Scientific, [2022] $z 9781800610668 $w (DLC) 2021028030
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