eBook Traces and Emergence of Nonlinear Programming, 1st Edition

  • Published By:
  • ISBN-10: 3034804393
  • ISBN-13: 9783034804394
  • DDC: 519.76
  • Grade Level Range: College Freshman - College Senior
  • 434 Pages | eBook
  • Original Copyright 2014 | Published/Released June 2014
  • This publication's content originally published in print form: 2014
  • Price:  Sign in for price



The book contains reproductions of the most important papers that gave birth to the first developments in nonlinear programming. Of particular interest is W. Karush’s  often quoted Master Thesis, which is published for the first time. The anthology includes an extensive preliminary chapter, where the editors trace out the history of mathematical programming, with special reference to linear and nonlinear programming.​

Table of Contents

Front Cover.
Other Frontmatter.
Title Page.
Copyright Page.
1: A Historical View of Nonlinear Programming: Traces and Emergence.
2: A Gradient Method for Approximating Saddle Points and Constrained Maxima.
3: Reduction of Constrained Maxima to Saddle-Point Problems.
4: Constraint Qualifications in Maximization Problems*†.
5: Normality and Abnormality in the Calculus of Variations*.
6: A Theorem of Fritz John in Mathematical Programming.
7: On Conjugate Convex Functions.
8: Programming in Linear Spaces.
9: Extremum Problems with Inequalities as Subsidiary Conditions.
10: Minima of Functions of Several Variables with Inequalities as Side Conditions.
11: Nonlinear Programming.
12: Second Order Conditions for Constrained Minima.
13: An Indirect Sufficiency Proof for the Problem of Lagrange with Differential Inequalities as Added Side Conditions.
14: Lagrange Multipliers Revisited.
15: The Kuhn-Tucker Theorem in Concave Programming.
16: The Problem of Lagrange with Differential Inequalities as Added Side Conditions.
On Linear Inequalities.
Nonlinear Programming: A Historical View.
Recherches Sur La Méthode De Maximis Et Minimis.