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This second edition of a very popular two-volume work presents a
thorough first course in analysis, leading from real numbers to
such advanced topics as differential forms on manifolds; asymptotic
methods; Fourier, Laplace, and Legendre transforms; elliptic
functions; and distributions. Especially notable in this course are
the clearly expressed orientation toward the natural sciences and
the informal exploration of the essence and the roots of the basic
concepts and theorems of calculus. Clarity of exposition is matched
by a wealth of instructive exercises, problems, and fresh
applications to areas seldom touched on in textbooks on real
analysis. The main difference between the second and first editions
is the addition of a series of appendices to each volume. There are
six of them in the first volume and five in the second. The
subjects of these appendices are diverse. They are meant to be
useful to both students (in mathematics and physics) and teachers,
who may be motivated by different goals. Some of the appendices are
surveys, both prospective and retrospective. The final survey
establishes important conceptual connections between analysis and
other parts of mathematics. The first volume constitutes a complete
course in one-variable calculus along with the multivariable
differential calculus elucidated in an up-to-date, clear manner,
with a pleasant geometric and natural sciences flavor.
This second English edition of a very popular two-volume work
presents a thorough first course in analysis, leading from real
numbers to such advanced topics as differential forms on manifolds;
asymptotic methods; Fourier, Laplace, and Legendre transforms;
elliptic functions; and distributions. Especially notable in this
course are the clearly expressed orientation toward the natural
sciences and the informal exploration of the essence and the roots
of the basic concepts and theorems of calculus. Clarity of
exposition is matched by a wealth of instructive exercises,
problems, and fresh applications to areas seldom touched on in
textbooks on real analysis. The main difference between the second
and first English editions is the addition of a series of
appendices to each volume. There are six of them in the first
volume and five in the second. The subjects of these appendices are
diverse. They are meant to be useful to both students (in
mathematics and physics) and teachers, who may be motivated by
different goals. Some of the appendices are surveys, both
prospective and retrospective. The final survey establishes
important conceptual connections between analysis and other parts
of mathematics. This second volume presents classical analysis in
its current form as part of a unified mathematics. It shows how
analysis interacts with other modern fields of mathematics such as
algebra, differential geometry, differential equations, complex
analysis, and functional analysis. This book provides a firm
foundation for advanced work in any of these directions.
"Part mystery, part Southern gothic, and wholly original, Cook's
debut novel establishes her as an author to watch....[and] for fans
of Celeste Ng and Joshilyn Jackson. " â Booklist Her brother's
letters reveal everythingâif only he'd written one to her. Alice
always thought she'd see her brother again. Rob ran away when he
was fifteen, with so many years left to find his way home. But his
funeral happened first. Eight years later she has to clear out her
childhood home in Georgia, and the memories come flooding in,
bringing with them an autopsy report showing her family's
liesâand sealed, addressed letters from Rob. In a search for
answers to questions she's always been afraid to ask, Alice
delivers the letters. Each dares her to open her eyes to her
family's secrets and the ghosts of her own past. But it's the last
letter, addressed to her brother's final home in New Orleans, that
will force her to choose if she'll let the trauma break her or
finally bring her home. Everything I Never Told You meets The Night
Olivia Fell set against a vivid Southern backdrop, How to Bury Your
Brother is the highly-discussable story of a sister coming to terms
with her brother's life and death.
A collection of new essays treating the most important aspects of
the work of the most famous late Romantic, Heinrich Heine. As the
most prominent German-Jewish Romantic writer, Heinrich Heine
(1797-1856) became a focal point for much of the tension generated
by the Jewish assimilation to German culture in a time marked by a
growing emphasis on the shared ancestry of the German Volk. As both
an ingenious composer of Romantic verse and the originator of
modernist German prose, he defied nationalist-Romantic concepts of
creative genius that grounded German greatness in an idealist
tradition of Dichter und Denker. And as a brash, often reckless
champion of freedom and social justice, he challenged not only the
reactionary ruling powers of Restoration Germany but also the
incipient nationalistideology that would have fateful consequences
for the new Germany--consequences he often portended with a
prophetic vision born of his own experience. Reaching to the heart
of the `German question,' the controversies surrounding Heine have
been as intense since his death as they were in his own lifetime,
often serving as an acid test for important questions of national
and social consciousness. This new volume of essays by scholars
from Germany, Britain, Canada, and the United States offers new
critical insights on key recurring issues in his work: the
symbiosis of German and Jewish culture; emerging nationalism among
the European peoples; critical views of Romanticism and modern
philosophy; European culture on the threshold to modernity; irony,
wit, and self-critique as requisite elements of a modern aesthetic;
changing views on teleology and the dialectics of history; and
final thoughts and reconsiderations from his last, prolonged years
in a sickbed. Contributors: Michael Perraudin, Paul Peters, Roger
F. Cook, Willi Goetschel, Gerhard Hoehn, Paul Reitter, Robert C.
Holub, Jeffrey Grossman, Anthony Phelan, Joseph A. Kruse, and
George F. Peters. Roger F. Cook is Professor of German at the
University of Missouri, Columbia.
This second English edition of a very popular two-volume work
presents a thorough first course in analysis, leading from real
numbers to such advanced topics as differential forms on manifolds;
asymptotic methods; Fourier, Laplace, and Legendre transforms;
elliptic functions; and distributions. Especially notable in this
course are the clearly expressed orientation toward the natural
sciences and the informal exploration of the essence and the roots
of the basic concepts and theorems of calculus. Clarity of
exposition is matched by a wealth of instructive exercises,
problems, and fresh applications to areas seldom touched on in
textbooks on real analysis. The main difference between the second
and first English editions is the addition of a series of
appendices to each volume. There are six of them in the first
volume and five in the second. The subjects of these appendices are
diverse. They are meant to be useful to both students (in
mathematics and physics) and teachers, who may be motivated by
different goals. Some of the appendices are surveys, both
prospective and retrospective. The final survey establishes
important conceptual connections between analysis and other parts
of mathematics. This second volume presents classical analysis in
its current form as part of a unified mathematics. It shows how
analysis interacts with other modern fields of mathematics such as
algebra, differential geometry, differential equations, complex
analysis, and functional analysis. This book provides a firm
foundation for advanced work in any of these directions.
A searing Southern story about confronting the difference between
the family you're born into and the family you choose, from the
acclaimed author of How to Bury Your Brother Lex fled Memphis years
ago, making ends meet with odd jobs teaching English around the
world. She only returns when she has no choice, when her godmother
presents her with a bargain she can't refuse. Lex has never
understood her mother, who died tragically right before Lex's
college graduation, but now she's got a chance to read her
journals, to try and figure out what sent her mother spiraling all
those years ago. The Memphis that Lex inhabits is more bourbon and
bbq joint than sweet tea on front porches, and as she pieces
together the Memphis her mother knew, seeing the lure of the world
through her mother's lush writing, she must confront more of her
own past and the people she left behind. Once all is laid bare, Lex
must decide for herself: What is the true meaning of family?
This second edition of a very popular two-volume work presents a
thorough first course in analysis, leading from real numbers to
such advanced topics as differential forms on manifolds; asymptotic
methods; Fourier, Laplace, and Legendre transforms; elliptic
functions; and distributions. Especially notable in this course are
the clearly expressed orientation toward the natural sciences and
the informal exploration of the essence and the roots of the basic
concepts and theorems of calculus. Clarity of exposition is matched
by a wealth of instructive exercises, problems, and fresh
applications to areas seldom touched on in textbooks on real
analysis. The main difference between the second and first editions
is the addition of a series of appendices to each volume. There are
six of them in the first volume and five in the second. The
subjects of these appendices are diverse. They are meant to be
useful to both students (in mathematics and physics) and teachers,
who may be motivated by different goals. Some of the appendices are
surveys, both prospective and retrospective. The final survey
establishes important conceptual connections between analysis and
other parts of mathematics. The first volume constitutes a complete
course in one-variable calculus along with the multivariable
differential calculus elucidated in an up-to-date, clear manner,
with a pleasant geometric and natural sciences flavor.
This softcover edition of a very popular two-volume work
presents a thorough first course in analysis, leading from real
numbers to such advanced topics as differential forms on manifolds,
asymptotic methods, Fourier, Laplace, and Legendre transforms,
elliptic functions and distributions. Especially notable in this
course is the clearly expressed orientation toward the natural
sciences and its informal exploration of the essence and the roots
of the basic concepts and theorems of calculus. Clarity of
exposition is matched by a wealth of instructive exercises,
problems and fresh applications to areas seldom touched on in real
analysis books.
The first volume constitutes a complete course on one-variable
calculus along with the multivariable differential calculus
elucidated in an up-to-day, clear manner, with a pleasant geometric
flavor.
Like all of Vladimir Arnold's books, this book is full of geometric insight. Arnold illustrates every principle with a figure. This book aims to cover the most basic parts of the subject and confines itself largely to the Cauchy and Neumann problems for the classical linear equations of mathematical physics, especially Laplace's equation and the wave equation, although the heat equation and the Korteweg-de Vries equation are also discussed. Physical intuition is emphasized. A large number of problems are sprinkled throughout the book, and a full set of problems from examinations given in Moscow are included at the end. Some of these problems are quite challenging! What makes the book unique is Arnold's particular talent at holding a topic up for examination from a new and fresh perspective. He likes to blow away the fog of generality that obscures so much mathematical writing and reveal the essentially simple intuitive ideas underlying the subject. No other mathematical writer does this quite so well as Arnold.
Probabilistic risk analysis aims to quantify the risk caused by high technology installations in situations where classical statistical analysis is difficult or impossible. This book discusses the fundamental notion of uncertainty, its relationship with probability, and the limits to the quantification of uncertainty. Drawing on extensive experience in the theory and applications of risk analysis, the authors focus on the conceptual and mathematical foundations underlying the quantification, interpretation and management of risk. They cover standard topics as well as important new subjects such as the use of expert judgment and uncertainty propagation.
As the most prominent German-Jewish Romantic writer, Heinrich Heine
(1797-1856) became a focal point for much of the tension generated
by the Jewish assimilation to German culture in a time marked by a
growing emphasis on the shared ancestry of the German Volk. As both
an ingenious composer of Romantic verse and the originator of
modernist German prose, he defied nationalist-Romantic concepts of
creative genius that grounded German greatness in an idealist
tradition of Dichter und Denker. And as a brash, often reckless
champion of freedom and social justice, he challenged not only the
reactionary ruling powers of Restoration Germany but also the
incipient nationalist ideology that would have fateful consequences
for the new Germany--consequences he often portended with a
prophetic vision born of his own experience. Reaching to the heart
of the German question, ' the controversies surrounding Heine have
been as intense since his death as they were in his own lifetime,
often serving as an acid test for important questions of national
and social consciousness. This new volume of essays by scholars
from Germany, Britain, Canada, and the United States offers new
critical insights on key recurring issues in his work: the
symbiosis of German and Jewish culture; emerging nationalism among
the European peoples; critical views of Romanticism and modern
philosophy; European culture on the threshold to modernity; irony,
wit, and self-critique as requisite elements of a modern aesthetic;
changing views on teleology and the dialectics of history; and
final thoughts and reconsiderations from his last, prolonged years
in a sickbed. Contributors: Michael Perraudin, Paul Peters, Roger
F. Cook, Willi Goetschel, Gerhard Hohn, Paul Reitter, Robert C.
Holub, Jeffrey Grossman, Anthony Phelan, Joseph A. Kruse, and
George F. Peters. Roger F. Cook is professor of German at the
University of Missouri, Columbia.
What do people think it's like living with an over-sexed, ginger
pumpkin, two mad humans and a cast of feline misfits? Forget about
caring cats and hero cats; Evie is a bad cat with a bad cat's view
of life. She is small, smart and black and lived wild until she was
caught by the lumpy old cat rescuer who ended up adopting her.
Evie's Diary reveals her contempt for her fellow felines and for
her humans, the Earth Mother and Poor Roger, who are no match for
Evie's manipulative little brain. Evie finds herself living with a
weird array of felines, including Benjamin Wobble, a porky ginger
boy with mobility problems, Bella, a Persian resembling a hairy
beetroot and the ancient, fur-covered coathanger, Bonnie Bun-Bun.
Evie has harsh things to say about these creepy cats that suck up
to the humans in return for goodies and cuddles, but has a grudging
admiration for the wild cats that rampage around the garden. The
Earth Mother is involved in rescuing unwanted cats and kittens on
behalf of the local Cats Protection Branch and Evie delights in
tormenting the numerous waifs and strays. Occasionally, she is
impressed by the appalling behaviour of these temporary residents,
such as Frank, the blue-eyed vandal that imprisons the Earth Mother
in the garage, and Griselda, the gorgeous girl that specialises in
remodelling people's faces. The real worry, of course, is the power
exercised by such a dreadful cat over the Earth Mother and Poor
Roger, proving once and for all that humans are well down the
pecking order and should just be grateful that cats like Evie
condescend to share their lives... Evie's Diary is a humorous work
of adult fiction, narrated from a rescue cat's point of view, that
will appeal to feline lovers everywhere. Author Heather Cook has
been inspired by James Herriot's All Creatures Great and Small.
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