03723cam a2200541Ii 45000010014000000030008000140050017000220060019000390070015000580080041000730400035001140200036001490200033001850200042002180200039002600200043002990200040003420200018003820350022004000350024004220500012004460720025004580720025004830720025005080720015005330820014005481000029005622450134005912640061007252640011007863000023007973360026008203370026008463380036008724900034009085000029009425200917009715050866018885880047027546500031028016500025028326500056028576500035029136500042029488560072029908560102030629990017031649780429203152FlBoTFG20260210180821.0m     o  d        cr cnu|||unuuu191120s2020    flu     ob    001 0 eng d  aOCoLC-PbengerdaepncOCoLC-P  a9780429203152q(electronic bk.)  a0429203152q(electronic bk.)  a9780429511738q(electronic bk. : PDF)  a0429511736q(electronic bk. : PDF)  a9780429515163q(electronic bk. : EPUB)  a0429515162q(electronic bk. : EPUB)  z9780367195571  a(OCoLC)1128095579  a(OCoLC-P)1128095579 4aQA402.5 7aBUSx0490002bisacsh 7aMATx0000002bisacsh 7aMATx0210002bisacsh 7aPB2bicssc04a519.62231 aChallal, Samia,eauthor.10aIntroduction to the theory of optimization in Euclidean space /cSamia Challal, Glendon College-York University, Toronto, Canada. 1aBoca Raton :bCRC Press, Taylor & Francis Group,c[2020] 4c©2020  a1 online resource.  atextbtxt2rdacontent  acomputerbc2rdamedia  aonline resourcebcr2rdacarrier1 aSeries in operations research  a"A Chapman & Hall book."  aIntroduction to the Theory of Optimization in Euclidean Space is intended to provide students with a robust introduction to optimization in Euclidean space, demonstrating the theoretical aspects of the subject whilst also providing clear proofs and applications. Students are taken progressively through the development of the proofs, where they have the occasion to practice tools of differentiation (Chain rule, Taylor formula) for functions of several variables in abstract situations. Throughout this book, students will learn the necessity of referring to important results established in advanced Algebra and Analysis courses. Features Rigorous and practical, offering proofs and applications of theorems Suitable as a textbook for advanced undergraduate students on mathematics or economics courses, or as reference for graduate-level readers Introduces complex principles in a clear, illustrative fashion0 a1. Introduction 1.1. Formulation of some optimization problems 1.2. Particular subsets of Rn 1.3. Functions of several variables 2. Unconstrained Optimization 2.1. Necessary condition 2.2. Classification of local extreme points 2.3. Convexity/concavity and global extreme points 2.4. Extreme value theorem 3. Constrained Optimization-Equality constraints 3.1. Tangent plane 3.2. Necessary condition for local extreme points-Equality constraints 3.3. Classification of local extreme points-Equality constraints 3.4. Global extreme points-Equality constraints 4. Constrained Optimization-Inequality constraints 4.1. Cone of feasible directions 4.2. Necessary condition for local extreme points/Inequality constraints 4.3. Classification of local extreme points-Inequality constraints 4.4. Global extreme points-Inequality constraints 4.5. Dependence on parameters  aOCLC-licensed vendor bibliographic record. 0aMathematical optimization. 0aEuclidean algorithm. 7aBUSINESS & ECONOMICS / Operations Research2bisacsh 7aMATHEMATICS / General2bisacsh 7aMATHEMATICS / Number Systems2bisacsh403Taylor & Francisuhttps://www.taylorfrancis.com/books/9780429203152423OCLC metadata license agreementuhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf  c91832d91831