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.

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.