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Variational Calculus and Optimal Control
John L. Troutman
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Description for Variational Calculus and Optimal Control
Hardback. An introduction to the variational methods used to formulate and solve mathematical and physical problems, allowing the reader an insight into the systematic use of elementary (partial) convexity of differentiable functions in Euclidian space. It helps students directly characterize the solutions for many minimization problems. Series: Undergraduate Texts in Mathematics. Num Pages: 477 pages, biography. BIC Classification: PBKQ; PBMH. Category: (UU) Undergraduate. Dimension: 235 x 155 x 26. Weight in Grams: 851.
Although the calculus of variations has ancient origins in questions of Ar istotle and Zenodoros, its mathematical principles first emerged in the post calculus investigations of Newton, the Bernoullis, Euler, and Lagrange. Its results now supply fundamental tools of exploration to both mathematicians and those in the applied sciences. (Indeed, the macroscopic statements ob tained through variational principles may provide the only valid mathemati cal formulations of many physical laws. ) Because of its classical origins, variational calculus retains the spirit of natural philosophy common to most mathematical investigations prior to this century. The original applications, including the Bernoulli problem ... Read more
Although the calculus of variations has ancient origins in questions of Ar istotle and Zenodoros, its mathematical principles first emerged in the post calculus investigations of Newton, the Bernoullis, Euler, and Lagrange. Its results now supply fundamental tools of exploration to both mathematicians and those in the applied sciences. (Indeed, the macroscopic statements ob tained through variational principles may provide the only valid mathemati cal formulations of many physical laws. ) Because of its classical origins, variational calculus retains the spirit of natural philosophy common to most mathematical investigations prior to this century. The original applications, including the Bernoulli problem ... Read more
Product Details
Format
Hardback
Publication date
1995
Publisher
Springer-Verlag New York Inc. United States
Number of pages
477
Condition
New
Series
Undergraduate Texts in Mathematics
Number of Pages
462
Place of Publication
New York, NY, United States
ISBN
9780387945118
SKU
V9780387945118
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
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