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The goal of this work is to present the principles of functional
analysis in a clear and concise way. The first three chapters of
Functional Analysis: Fundamentals and Applications describe the
general notions of distance, integral and norm, as well as their
relations. The three chapters that follow deal with fundamental
examples: Lebesgue spaces, dual spaces and Sobolev spaces. Two
subsequent chapters develop applications to capacity theory and
elliptic problems. In particular, the isoperimetric inequality and
the Polya-Szego and Faber-Krahn inequalities are proved by purely
functional methods. The epilogue contains a sketch of the history
of functional analysis, in relation with integration and
differentiation. Starting from elementary analysis and introducing
relevant recent research, this work is an excellent resource for
students in mathematics and applied mathematics.
Many boundary value problems are equivalent to Au=O (1) where A: X
---+ Y is a mapping between two Banach spaces. When the problem is
variational, there exists a differentiable functional 0 and e E X
such that lIell > rand inf"
Willem's book is devoted to minimax theorems and their applications
to partial differential equations. Presenting basic minimax
theorems in a simple and unified way, this book may serve as a
textbook for advanced graduate students in partial differential
equations.
This textbook presents the principles of functional analysis in a
clear and concise way. The first three chapters describe the
general notions of distance, integral, and norm, as well as their
relations. Fundamental examples are provided in the three chapters
that follow: Lebesgue spaces, dual spaces, and Sobolev spaces. Two
subsequent chapters develop applications to capacity theory and
elliptic problems. In particular, the isoperimetric inequality and
the Polya-Szego and Faber-Krahn inequalities are proved by purely
functional methods. The epilogue contains a sketch of the history
of functional analysis in relation to integration and
differentiation. Starting from elementary analysis and introducing
relevant research, this work is an excellent resource for students
in mathematics and applied mathematics. The second edition of
Functional Analysis includes several improvements as well as the
addition of supplementary material. Specifically, the coverage of
advanced calculus and distribution theory has been completely
rewritten and expanded. New proofs, theorems, and applications have
been added as well for readers to explore.
This book explores interconnections between voyage narratives and
travel plays in a period of intense foreign relations and the
incipient colonization of the New World. Eminent Renaissance
scholars use historical inquiry and textual analysis to offer
readings of narrative and dramatic texts, envisaged both in the
context of the period and from the far-reaching perspective of
Britain's cultural history. Plays like The Spanish Tragedy, Doctor
Faustus, Eastward Ho! or The Tempest - itself the subject of three
chapters - are discussed alongside relatively obscure works. The
plays are never approached as mere cultural documents. The
underlying assumption is that the theatre is not reducible to a
medium for conflicting ideologies but should be viewed as a
privileged site of various meanings, of roads leading in several
directions.
George Lyman Kittredge's insightful editions of Shakespeare have
endured in part because of his eclecticism, his diversity of
interests, and his wide-ranging accomplishments--all of which are
reflected in the valuable notes in each volume. The plays in the
New Kittredge Shakespeare series retain their original Kittredge
notes and introductions, changed or augmented only when some
modernization seems necessary. These new editions also include
introductory essays by contemporary editors, notes on the plays as
they have been performed on stage and film, and additional student
materials. These plays are being made available by Focus Publishing
with the permission of the Kittredge heirs.
Early Modern Drama in Performance is a collection of essays in
honor of Lois Potter, the distinguished author of five monographs,
including most recently The Life of William Shakespeare (2012), and
numerous articles, edited collections, and editions. This
collection's emphasis on Shakespearean and early modern drama
reflects the area for which Potter is most widely known, as a
performance critic, editor, and literary scholar. The essays by a
diverse group of scholars who have been influenced by Potter
address recurring themes in her work: Shakespeare and
non-Shakespearean early modern drama, performance history and
theatre practice, theatrical performance across cultures, play
reviewing, and playreading. What unifies them most, though, is that
they carry on the spirit of Potter's work: her ability to meet a
text, a performance, or a historical period on its own terms, to
give scrupulous attention to specific details and elegantly show
how these details generate larger meaning, and to recover and
preserve the fleeting and the ephemeral.
This book explores interconnections between voyage narratives and
travel plays in a period of intense foreign relations and the
incipient colonization of the New World. Eminent Renaissance
scholars use historical inquiry and textual analysis to offer
readings of narrative and dramatic texts, envisaged both in the
context of the period and from the far-reaching perspective of
Britain's cultural history. Plays like The Spanish Tragedy, Doctor
Faustus, Eastward Ho! or The Tempest - itself the subject of three
chapters - are discussed alongside relatively obscure works. The
plays are never approached as mere cultural documents. The
underlying assumption is that the theatre is not reducible to a
medium for conflicting ideologies but should be viewed as a
privileged site of various meanings, of roads leading in several
directions.
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