All listings for this product
Best-selling in Non-Fiction Books
Save on Non-Fiction Books
- AU $90.88Trending at AU $93.26
- AU $28.71Trending at AU $30.90
- AU $52.98Trending at AU $79.02
- AU $26.88Trending at AU $29.42
- AU $16.99Trending at AU $22.22
- AU $36.48Trending at AU $41.31
- AU $30.95Trending at AU $33.19
About this product
- DescriptionOptimization is everywhere. It is human nature to seek the best option among all that are available. Nature, too, seems to be guided by optimization|many laws of nature have a variational character. Among geometric gures in the plane with a xed perimeter, the circle has the greatest area. Such isoperim- ric problems involving geometric gures date back to ancient Greece. Fermat's principle, discovered in 1629, stating that the tangent line is horizontal at a minimum point, seems to have in uenced the development of calculus. The proofs of Rolle's theorem and the mean value theorem in calculus use the Weierstrass theorem on the existence of maximizers and minimizers. The - troduction of the brachistochrone problem in 1696 by Johann Berulli had a tremendous impact on the development of the calculus of variations and in uenced the development of functional analysis. The variational character of laws of mechanics and optics were discovered in the seventeenth and ei- teenth centuries. Euler and Lagrange forged the foundations of the calculus of variations in the eighteenth century. In the nineteenth century, Riemann used Dirichlet's principle, which has a variational character, in his investigations in complex analysis. The simplex method for linear programming was disc- ered shortly after the advent of computers in the 1940s, and in uenced the subsequent development of mathematical programming. The emergence of the theory of optimal control in the 1950s was in response to the need for contr- ling space vehicles and various industrial processes.
- Author(s)Osman Guler
- PublisherSpringer-Verlag New York Inc.
- Date of Publication01/10/2006
- SubjectScience & Mathematics: Textbooks & Study Guides
- Series TitleGraduate Texts in Mathematics
- Series Part/Volume Numberv. 258
- Place of PublicationNew York, NY
- Country of PublicationUnited States
- ImprintSpringer-Verlag New York Inc.
- Content Notebiography
- Weight1810 g
- Width156 mm
- Height234 mm
- Spine25 mm
- Format DetailsLaminated cover
This item doesn't belong on this page.
Thanks, we'll look into this.