Description

Book Synopsis
Optimization Theory is an active area of research with numerous applications; many of the books are designed for engineering classes, and thus have an emphasis on problems from such fields. Covering much of the same material, in this volume there is less emphasis on coding and detailed applications as the intended audience is more mathematical.

Table of Contents
  • Classical algorithms: Efficient multiplication, I
  • Efficient multiplication, II
  • Introduction to linear programming: Introduction to linear programming
  • The canonical linear programming problem
  • Symmetries and dualities
  • Basic feasible and basic optimal solutions
  • The simplex method
  • Advanced linear programming: Integer programming
  • Integer optimization
  • Multi-objective and quadratic programming
  • The traveling salesman problem
  • Introduction to stochastic linear programming
  • Fixed point theorems: Introduction to fixed point theorems
  • Contraction maps
  • Sperner's lemma
  • Brouwer's fixed point theorem
  • Advanced topics: Gale-Shapley algorithm
  • Interpolating functions
  • The four color problem
  • The Kepler conjecture
  • Index
  • Bibliography.

    Mathematics of Optimization How to do Things

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      A Hardback by Steven J. Miller

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        Book details

        Publisher American Mathematical Society
        Published 30 January 2018
        ISBN-13 9781470441142
        978-1470441142
        ISBN-10 1470441144

        Description

        Book Synopsis
        Optimization Theory is an active area of research with numerous applications; many of the books are designed for engineering classes, and thus have an emphasis on problems from such fields. Covering much of the same material, in this volume there is less emphasis on coding and detailed applications as the intended audience is more mathematical.

        Table of Contents
        • Classical algorithms: Efficient multiplication, I
        • Efficient multiplication, II
        • Introduction to linear programming: Introduction to linear programming
        • The canonical linear programming problem
        • Symmetries and dualities
        • Basic feasible and basic optimal solutions
        • The simplex method
        • Advanced linear programming: Integer programming
        • Integer optimization
        • Multi-objective and quadratic programming
        • The traveling salesman problem
        • Introduction to stochastic linear programming
        • Fixed point theorems: Introduction to fixed point theorems
        • Contraction maps
        • Sperner's lemma
        • Brouwer's fixed point theorem
        • Advanced topics: Gale-Shapley algorithm
        • Interpolating functions
        • The four color problem
        • The Kepler conjecture
        • Index
        • Bibliography.

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