Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

Calculus. --- Mathematics. --- Optimal control. --- Functional analysis --- Calculus of variations --- Mathematical optimization --- Control theory --- Mathematics --- Physical Sciences & Mathematics --- Calculus --- Optimization (Mathematics) --- Optimization techniques --- Optimization theory --- Systems optimization --- Isoperimetrical problems --- Variations, Calculus of --- Functional calculus --- Functional analysis. --- System theory. --- Calculus of variations. --- Mathematical optimization. --- Functional Analysis. --- Calculus of Variations and Optimal Control; Optimization. --- Continuous Optimization. --- Systems Theory, Control. --- Systems theory. --- Mathematical analysis --- Maxima and minima --- Operations research --- Simulation methods --- System analysis --- Functional equations --- Integral equations --- Control theory. --- Systems, Theory of --- Systems science --- Science --- Philosophy

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

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.

Functional analysis --- Numerical methods of optimisation --- Operational research. Game theory --- Mathematics --- Applied physical engineering --- Engineering sciences. Technology --- functies (wiskunde) --- systeemtheorie --- wiskunde --- systeembeheer --- ingenieurswetenschappen --- kansrekening --- optimalisatie

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Philosophy, Medieval --- -Addresses, essays, lectures --- 1 "04/14" --- Medieval philosophy --- Scholasticism --- Filosofie:--Middeleeuwen --- 1 "04/14" Filosofie:--Middeleeuwen --- Philosophy, Medieval - - Addresses, essays, lectures --- -Philosophy, Medieval

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Ships -- Handbooks, manuals, etc --- Shipping -- Handbooks, manuals, etc

Choose an application

• Reference Manager
• EndNote
• RefWorks (Direct export to RefWorks)

Examines both the popular and official views of Australia current in nineteenth century Britain.

Public opinion --- Opinion publique anglaise --- Colonisation - Theory. --- Race relations - Attitudes. --- Colonisation - Ethical issues. --- Australia --- Australie --- Australia --- Australie --- Great Britain. --- History --- Histoire --- Colonization. --- Colonisation.