{"product_id":"9781118626306","title":"Nonlinear Programming: Theory and Algorithms","description":"\u003cb\u003eCOMPREHENSIVE COVERAGE OF NONLINEAR PROGRAMMING THEORY AND ALGORITHMS, THOROUGHLY REVISED AND EXPANDED\u003c\/b\u003e \u003cp\u003e\u003ci\u003eNonlinear Programming: Theory and Algorithms\u003c\/i\u003e—now in an extensively updated Third Edition—addresses the problem of optimizing an objective function in the presence of equality and inequality constraints. Many realistic problems cannot be adequately represented as a linear program owing to the nature of the nonlinearity of the objective function and\/or the nonlinearity of any constraints. The \u003ci\u003eThird Edition\u003c\/i\u003e begins with a general introduction to nonlinear programming with illustrative examples and guidelines for model construction.\u003c\/p\u003e \u003cp\u003eConcentration on the three major parts of nonlinear programming is provided:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eConvex analysis with discussion of topological properties of convex sets, separation and support of convex sets, polyhedral sets, extreme points and extreme directions of polyhedral sets, and linear programming\u003c\/li\u003e \u003cli\u003eOptimality conditions and duality with coverage of the nature, interpretation, and value of the classical Fritz John (FJ) and the Karush-Kuhn-Tucker (KKT) optimality conditions; the interrelationships between various proposed constraint qualifications; and Lagrangian duality and saddle point optimality conditions\u003c\/li\u003e \u003cli\u003eAlgorithms and their convergence, with a presentation of algorithms for solving both unconstrained and constrained nonlinear programming problems\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eImportant features of the \u003ci\u003eThird Edition\u003c\/i\u003e include:\u003c\/p\u003e \u003cul\u003e \u003cli\u003eNew topics such as second interior point methods, nonconvex optimization, nondifferentiable optimization, and more\u003c\/li\u003e \u003cli\u003eUpdated discussion and new applications in each chapter\u003c\/li\u003e \u003cli\u003eDetailed numerical examples and graphical illustrations\u003c\/li\u003e \u003cli\u003eEssential coverage of modeling and formulating nonlinear programs\u003c\/li\u003e \u003cli\u003eSimple numerical problems\u003c\/li\u003e \u003cli\u003eAdvanced theoretical exercises\u003c\/li\u003e \u003c\/ul\u003e \u003cp\u003eThe book is a solid reference for professionals as well as a useful text for students in the fields of operations research, management science, industrial engineering, applied mathematics, and also in engineering disciplines that deal with analytical optimization techniques. The logical and self-contained format uniquely covers nonlinear programming techniques with a great depth of information and an abundance of valuable examples and illustrations that showcase the most current advances in nonlinear problems.\u003c\/p\u003e","brand":"Wiley","offers":[{"title":"Default Title","offer_id":48065906147569,"sku":"9781118626306","price":158.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0674\/5433\/7265\/files\/9781118626306_p0.jpg?v=1776790598","url":"https:\/\/shop.barnesandnoble.com\/products\/9781118626306","provider":"Barnes \u0026 Noble","version":"1.0","type":"link"}