Calculation of Variations
Ch MacCluer

For senior level and graduate courses in Calculus of Variations and/or Control Theory, in math or engineering departments. This is the first truly up-to-date treatment of calculus of variations-and the first to incorporate a simple introduction to key concepts such as optimization, optimal control, bang-bang, Pontryagin's maximum principle, or LQ control design. All material is introduced using simple, easily understood applications that are worked and reprised several times throughout. Flexible presentation-can be used for a variety of courses. Chapters 1-7 form a leisurely undergraduate semester course; Chapter 8 is at a strong senior level; Chapters 9-11 are more abstract and appropriate for graduate courses. A large number of exercises, ranging widely in difficulty-includes starred exercises that are appropriate for graduate students. Detailed exercises-gives students a broader, "big picture" perspective that makes the material less overwhelming, and gives instructors more versatility to shape their course. Accessible introduction to Lagrangian mechanics-helps students appreciate the origin of much of the mathematics they are taught in other courses. Special "Project" exercises-can be used as term papers in capstone courses; many deal with the history of mathematics. Standards of calculus stated and proved in the appendices-covers Picard's theorem, implicit function theorem, divergence theorem. A useful, stand-alone discussion of MATLAB ("MATLAB Cookbook") in the appendices. A clear introduction to weak/strong sufficiency. Solutions to most exercises available from the author upon request.

Informacje dodatkowe o Calculation of Variations:

Wydawnictwo: angielskie
Data wydania: b.d
Kategoria: Popularnonaukowe
ISBN: 978-0-13-142383-1
Liczba stron: 0