Traces and Emergence of Nonlinear Programming

Editors: Giorgi, Giorgio, Kjeldsen, Tinne Hoff (Eds.)

  • The book offers for the first time a collection of the basic historical papers on nonlinear programming  
  • The book includes a full version of the famous Master Thesis of William Karush (1939), where the main theorem of nonlinear programming appeared for the first time  
  • The book provides a useful history of mathematical programming​
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Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-0348-0439-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-3-0348-0438-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.​

Reviews

From the book reviews:

“The present volume has collected the classical papers that laid down the foundations of nonlinear optimizations. … The book is invaluable for those who would like to see the origin of nonlinear programming. It is very helpful for teachers and students of the field.” (Péter Hajnal, Acta Scientiarum Mathematicarum (Szeged), Vol. 80 (1-2), 2014)


Table of contents (19 chapters)

  • A Historical View of Nonlinear Programming: Traces and Emergence

    Giorgi, Giorgio (et al.)

    Pages 1-43

  • A Gradient Method For Approximating Saddle Points and Constrained Maxima

    Arrow, Kenneth J. (et al.)

    Pages 45-60

  • Reduction of Constrained Maxima to Saddle-Point Problems

    Arrow, Kenneth J. (et al.)

    Pages 61-80

  • Constraint Qualifications in Maximization Problems

    Arrow, Kenneth J. (et al.)

    Pages 81-97

  • Normality and Abnormality in the Calculus of Variations

    Bliss, Gilbert A.

    Pages 99-110

Buy this book

eBook $69.99
price for USA (gross)
  • ISBN 978-3-0348-0439-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $99.00
price for USA
  • ISBN 978-3-0348-0438-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Traces and Emergence of Nonlinear Programming
Editors
  • Giorgio Giorgi
  • Tinne Hoff Kjeldsen
Copyright
2014
Publisher
Birkhäuser Basel
Copyright Holder
Springer Basel
eBook ISBN
978-3-0348-0439-4
DOI
10.1007/978-3-0348-0439-4
Hardcover ISBN
978-3-0348-0438-7
Edition Number
1
Number of Pages
XVI, 434
Topics