This book presents a graduate-level course on modern algebra. It can be used as a teaching book – owing to the copious exercises – and as a source book for those who wish to use the major theorems of algebra. The course begins with the basic combinatorial principles of algebra: posets, chain conditions, Galois connections, and dependence theories. Here, the general Jordan–Holder Theorem becomes a theorem on interval measures of certain lower semilattices. This is followed by basic courses on groups, rings and modules; the arithmetic of integral domains; fields; the categorical point of view; and tensor products. Beginning with introductory concepts and examples, each chapter proceeds gradually towards its more complex theorems. Proofs progress step-by-step from first principles. Many interesting results reside in the exercises, for example, the proof that ideals in a Dedekind domain are generated by at most two elements. The emphasis throughout is on real understanding as opposed to memorizing a catechism and so some chapters offer curiosity-driven appendices for the self-motivated student.
The classical geometries of points and lines include not only the projective and polar spaces, but similar truncations of geometries naturally arising from the groups of Lie type. Virtually all of these geometries (or homomorphic images of them) are characterized in this book by simple local axioms on points and lines. Simple point-line characterizations of Lie incidence geometries allow one to recognize Lie incidence geometries and their automorphism groups. These tools could be useful in shortening the enormously lengthy classification of finite simple groups. Similarly, recognizing ruled manifolds by axioms on light trajectories offers a way for a physicist to recognize the action of a Lie group in a context where it is not clear what Hamiltonians or Casimir operators are involved. The presentation is self-contained in the sense that proofs proceed step-by-step from elementary first principals without further appeal to outside results. Several chapters have new heretofore unpublished research results. On the other hand, certain groups of chapters would make good graduate courses. All but one chapter provide exercises for either use in such a course, or to elicit new research directions.
This book presents a graduate-level course on modern algebra. It can be used as a teaching book – owing to the copious exercises – and as a source book for those who wish to use the major theorems of algebra. The course begins with the basic combinatorial principles of algebra: posets, chain conditions, Galois connections, and dependence theories. Here, the general Jordan–Holder Theorem becomes a theorem on interval measures of certain lower semilattices. This is followed by basic courses on groups, rings and modules; the arithmetic of integral domains; fields; the categorical point of view; and tensor products. Beginning with introductory concepts and examples, each chapter proceeds gradually towards its more complex theorems. Proofs progress step-by-step from first principles. Many interesting results reside in the exercises, for example, the proof that ideals in a Dedekind domain are generated by at most two elements. The emphasis throughout is on real understanding as opposed to memorizing a catechism and so some chapters offer curiosity-driven appendices for the self-motivated student.
The classical geometries of points and lines include not only the projective and polar spaces, but similar truncations of geometries naturally arising from the groups of Lie type. Virtually all of these geometries (or homomorphic images of them) are characterized in this book by simple local axioms on points and lines. Simple point-line characterizations of Lie incidence geometries allow one to recognize Lie incidence geometries and their automorphism groups. These tools could be useful in shortening the enormously lengthy classification of finite simple groups. Similarly, recognizing ruled manifolds by axioms on light trajectories offers a way for a physicist to recognize the action of a Lie group in a context where it is not clear what Hamiltonians or Casimir operators are involved. The presentation is self-contained in the sense that proofs proceed step-by-step from elementary first principals without further appeal to outside results. Several chapters have new heretofore unpublished research results. On the other hand, certain groups of chapters would make good graduate courses. All but one chapter provide exercises for either use in such a course, or to elicit new research directions.
A Contemporary Classics hardcover edition of Nobel Prize-winner Ernest Hemingway’s landmark first novel—both a tragic love story and a searing group portrait of hapless American expatriates drinking, dancing, and chasing their illusions in post–World War I Europe. The Sun Also Rises tracks the Lost Generation of the 1920s from the nightclubs of Paris to the bullfighting arenas of Spain. The man at its center, world-weary journalist Jake Barnes, is burdened both by a wound acquired in the war and by his utterly hopeless love for the extravagantly decadent Lady Brett Ashley. When Jake, Brett, and their friends leave Paris behind and converge in Pamplona for the annual festival of the running of the bulls, tensions among the various rivals for Brett’s wayward affections build to a devastating climax. Ernest Hemingway, who was awarded the Nobel Prize in Literature in 1954, has exerted a lasting influence on fiction in English. His signature prose style, tersely powerful and concealing more than it reveals, arguably reached its apex in this modernist masterpiece. “His lean, terse style is one of the monumental achievements of twentieth-century prose . . . Hemingway modeled a way to build sentences and paragraphs that vibrated with emotion . . . In The Sun Also Rises he achieved an imaginative insight into his own illusions and disillusions that goes beyond the surfaces of the Jazz Age to the welter of feelings wrapped up in being lost.” —from the Introduction by Nicholas Gaskill Everyman's Library pursues the highest production standards, printing on acid-free cream-colored paper, with full-cloth cases with two-color foil stamping, decorative endpapers, silk ribbon markers, European-style half-round spines, and a full-color illustrated jacket.
Ernest Hemingway, (1899 – 1961) was an American novelist and short-story writer, awarded the Nobel Prize for Literature in 1954. He was noted both for the intense masculinity of his writings and for his adventurous and widely publicized life. A consummately contradictory man, Hemingway achieved a fame surpassed by few, if any, American authors of the 20th century. The virile nature of his writing, which attempted to re-create the exact physical sensations he experienced in wartime, big-game hunting, and bullfighting, in fact masked an aesthetic sensibility of great delicacy. Men Without Women (1927) is the second collection of short stories written by Hemingway. The volume consists of 14 exciting stories covering subjects such as: bullfighting, boxing, prizefighting, infidelity, divorce, and death. The stories: "The Killers", "Hills Like White Elephants", and "In Another Country" are among Hemingway's better works.
One of Hemingway's finest novels, A FAREWELL TO ARMS was published in 1929 when the author was at the height of his power, It draws on his own experiences serving with the Italins in World War One when he was severely wounded in action and awarded the Croce de Guerra. This is a vivid portrait of men at war which also explores their deeper responses to the cruetly and heroism of Battle
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