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Convex Functions, Monotone Operators and Differentiability
These notes start with an introduction to the differentiability of convex functions on Banach spaces, leading to the study of Asplund spaces and their intriguing relationship to monotone operators (and more general set-values maps) and Banach spaces with the Radon-Nikodym property. While much of this is classical, some of it is presented using streamlined proofs which were not available until recently. Considerable attention is paid to contemporary results on variational principles and perturbed optimization in Banach spaces, exhibiting their close connections with Asplund spaces. An introductory course in functional analysis is adequate background for reading these notes which can serve as the basis for a seminar of a one-term graduate course. There are numerous excercises, many of which form an integral part of the exposition.
The War of the Rebellion: v. 1-53 [serial no. 1-111] Formal reports, both Union and Confederate, of the first seizures of United States property in the southern states, and of all military operations in the field, with the correspondence, order and returns relating specially thereto. 1880-1898. 111 v
Official records produced by the armies of the United States and the Confederacy, and the executive branches of their respective governments, concerning the military operations of the Civil War, and prisoners of war or prisoners of state. Also annual reports of military departments, calls for troops, correspondence between national and state governments, correspondence between Union and Confederate officials. The final volume includes a synopsis, general index, special index for various military divisions, and background information on how these documents were collected and published. Accompanied by an atlas.
Lectures on Choquet's Theorem
A well written, readable and easily accessible introduction to "Choquet theory", which treats the representation of elements of a compact convex set as integral averages over extreme points of the set. The interest in this material arises both from its appealing geometrical nature as well as its extraordinarily wide range of application to areas ranging from approximation theory to ergodic theory. Many of these applications are treated in this book. This second edition is an expanded and updated version of what has become a classic basic reference in the subject.
The Mountaineer
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