|
Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis
|
Buy Now
Functional Analysis, Calculus of Variations and Optimal Control (Hardcover, 2013 ed.)
Loot Price: R2,190
Discovery Miles 21 900
|
|
|
Functional Analysis, Calculus of Variations and Optimal Control (Hardcover, 2013 ed.)
Series: Graduate Texts in Mathematics, 264
Expected to ship within 10 - 15 working days
|
Functional analysis owes much of its early impetus to problems that
arise in the calculus of variations. In turn, the methods developed
there have been applied to optimal control, an area that also
requires new tools, such as nonsmooth analysis. This self-contained
textbook gives a complete course on all these topics. It is written
by a leading specialist who is also a noted expositor. This book
provides a thorough introduction to functional analysis and
includes many novel elements as well as the standard topics. A
short course on nonsmooth analysis and geometry completes the first
half of the book whilst the second half concerns the calculus of
variations and optimal control. The author provides a comprehensive
course on these subjects, from their inception through to the
present. A notable feature is the inclusion of recent, unifying
developments on regularity, multiplier rules, and the Pontryagin
maximum principle, which appear here for the first time in a
textbook. Other major themes include existence and Hamilton-Jacobi
methods. The many substantial examples, and the more than three
hundred exercises, treat such topics as viscosity solutions,
nonsmooth Lagrangians, the logarithmic Sobolev inequality, periodic
trajectories, and systems theory. They also touch lightly upon
several fields of application: mechanics, economics, resources,
finance, control engineering. Functional Analysis, Calculus of
Variations and Optimal Control is intended to support several
different courses at the first-year or second-year graduate level,
on functional analysis, on the calculus of variations and optimal
control, or on some combination. For this reason, it has been
organized with customization in mind. The text also has
considerable value as a reference. Besides its advanced results in
the calculus of variations and optimal control, its polished
presentation of certain other topics (for example convex analysis,
measurable selections, metric regularity, and nonsmooth analysis)
will be appreciated by researchers in these and related fields.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!
|
You might also like..
|
Welcome to Loot.co.za!
Sign in / Register |Wishlists & Gift Vouchers |Help | Advanced search
