Recently Viewed

New

Mathematical Programming and Control Theory by B. D. Craven 9780412155000

No reviews yet Write a Review
Booksplease Price: £45.92

  Bookmarks: Included free with every order
  Delivery: We ship to over 200 countries from the UK
  Range: Millions of books available
  Reviews: Booksplease rated "Excellent" on Trustpilot

  FREE UK DELIVERY: When You Buy 3 or More Books - Use code: FREEUKDELIVERY in your cart!

SKU:
9780412155000
MPN:
9780412155000
Available from Booksplease!
Global delivery available
Global delivery available
Global delivery available
Global delivery available
Global delivery available
Availability: Usually dispatched within 4 working days

Frequently Bought Together:

Total: Inc. VAT
Total: Ex. VAT

Description

In a mathematical programming problem, an optimum (maxi mum or minimum) of a function is sought, subject to con straints on the values of the variables. In the quarter century since G. B. Dantzig introduced the simplex method for linear programming, many real-world problems have been modelled in mathematical programming terms. Such problems often arise in economic planning - such as scheduling industrial production or transportation - but various other problems, such as the optimal control of an interplanetary rocket, are of similar kind. Often the problems involve nonlinear func tions, and so need methods more general than linear pro gramming. This book presents a unified theory of nonlinear mathe matical programming. The same methods and concepts apply equally to 'nonlinear programming' problems with a finite number of variables, and to 'optimal control' problems with e. g. a continuous curve (i. e. infinitely many variables). The underlying ideas of vector space, convex cone, and separating hyperplane are the same, whether the dimension is finite or infinite; and infinite dimension makes very little difference to the proofs. Duality theory - the various nonlinear generaliz ations of the well-known duality theorem of linear program ming - is found relevant also to optimal control, and the , PREFACE Pontryagin theory for optimal control also illuminates finite dimensional problems. The theory is simplified, and its applicability extended, by using the geometric concept of convex cones, in place of coordinate inequalities.

Springer Book Archives

Book Information
ISBN 9780412155000
Author B. D. Craven
Format Paperback
Page Count 164
Imprint Chapman and Hall
Publisher Chapman and Hall

Reviews

No reviews yet Write a Review

Booksplease  Reviews