Approaches to Singular Analysis: A Volume of Advances in Partial Differential Equations (Operator Theory: Advances and Applications / Advances in Partial Differential Equations)

Book Description

The purpose of this publication is to present, in one book, various approaches to analytic problems that arise in the context of singular spaces. It is based on the workshop "Approaches to Singular Analysis" which was held at the Humboldt University Berlin in April 1999.
The book contains articles by workshop participants as well as invited contributions. The former are expanded versions of talks given at the workshop; they offer introductions to various pseudodifferential calculi and discussions of relations between them. In addition, a limited number of invited papers from mathematicians who have made significant contributions to this field are included.

Asymptotic Analysis for Integrable Connections With Irregular Singular Points (Lecture Notes in Mathematics)

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Asymptotic Analysis for Integrable Connections With Irregular Singular Points (Lecture Notes in Mathematics)
Hideyuki Majima
Manufacturer: Springer
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Binding: Paperback

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Control of distributed singular systems
Jacques Louis Lions
Manufacturer: Gauthier-Villars
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Binding: Unknown Binding

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ASIN: 2040157484

Differential Equations on Singular Manifolds: Semiclassical Theory and Operator Algebras (Mathematical Topics, Vol 15)

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Differential Equations on Singular Manifolds: Semiclassical Theory and Operator Algebras (Mathematical Topics, Vol 15)
Bert-Wolfgang Schulze , B. Iu Sternin , and V. E. Shatalov
Manufacturer: John Wiley & Sons
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Binding: Hardcover

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Book Description

In the book, new methods in the theory of differential equations on manifolds with singularities are presented. The semiclassical theory in quantum mechanics is employed, adapted to operators that are degenerate in a typical way. The degeneracies may be induced by singular geometries, e.g., conical or cuspidal ones. A large variety of non-standard degenerate operators are also discussed.
The semiclassical approach yields new results and unexpected effects, also in classical situations. For instance, full asymptotic expansions for cuspidal singularities are constructed, and nonstationary problems on singular manifolds are treated. Moreover, finiteness theorems are obtained by using operator algebra methods in a unified framework. Finally the method of characteristics for general elliptic equations on manifolds with singularities is developed in the book.

The Dirichlet Problem for Parabolic Operators With Singular Drift Terms (Memoirs of the American Mathematical Society)

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The Dirichlet Problem for Parabolic Operators With Singular Drift Terms (Memoirs of the American Mathematical Society)
Steve Hofmann , and John L. Lewis
Manufacturer: American Mathematical Society
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Binding: Mass Market Paperback

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Evolution Equations, Feshbach Resonances, Singular Hodge Theory (Mathematical Topics, 16)

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Evolution Equations, Feshbach Resonances, Singular Hodge Theory (Mathematical Topics, 16)

Manufacturer: Wiley-VCH Verlag GmbH
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Binding: Hardcover

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Book Description

Evolution equations describe many processes in science and engineering, and they form a central topic in mathematics. The first three contributions to this volume address parabolic evolutionary problems: The opening paper treats asymptotic solutions to singular parabolic problems with distribution and hyperfunction data.
The theory of the asymptotic Laplace transform is developed in the second paper and is applied to semigroups generated by operators with large growth of the resolvent. An article follows on solutions by local operator methods of time-dependent singular problems in non-cylindrical domains.
The next contribution addresses spectral properties of systems of pseudodifferential operators when the characteristic variety has a conical intersection. Bohr-Sommerfeld quantization rules and first order exponential asymptotics of the resonance widths are established under various semiclassical regimes.
In the following article, the limiting absorption principle is proven for certain self-adjoint operators. Applications include Hamiltonians with magnetic fields, Dirac Hamiltonians, and the propagation of waves in inhomogeneous media.
The final topic develops Hodge theory on manifolds with edges; its authors introduce a concept of elliptic complexes, prove a Hodge decomposition theorem, and study the asymptotics of harmonic forms.

Geometric Theory of Singular Phenomena in Partial Differential Equations (Symposia Mathematica)

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Geometric Theory of Singular Phenomena in Partial Differential Equations (Symposia Mathematica)

Manufacturer: Cambridge University Press
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Binding: Hardcover

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Book Description

This book gathers together papers from a workshop held in Cortona, Italy. The contributions come from a group of outstanding mathematicians and together they cover the most recent advances in the geometric theory of singular phenomena of partial differential equations occurring in real and complex differential geometry. This volume will be of great interest to all those whose research interests lie in real and complex differential geometry, partial differential equations, and gauge theory.

hp-Finite Element Methods for Singular Perturbations (Lecture Notes in Mathematics)

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hp-Finite Element Methods for Singular Perturbations (Lecture Notes in Mathematics)
Jens M. Melenk
Manufacturer: Springer
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Binding: Paperback

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ASIN: 3540442014

Book Description

Many partial differential equations arising in practice are parameter-dependent problems that are of singularly perturbed type. Prominent examples include plate and shell models for small thickness in solid mechanics, convection-diffusion problems in fluid mechanics, and equations arising in semi-conductor device modelling. Common features of these problems are layers and, in the case of non-smooth geometries, corner singularities. Mesh design principles for the efficient approximation of both features by the hp-version of the finite element method (hp-FEM) are proposed in this volume. For a class of singularly perturbed problems on polygonal domains, robust exponential convergence of the hp-FEM based on these mesh design principles is established rigorously.

The Method of Layer Potentials for the Heat Equation in Time-Varying Domains (Memoirs of the American Mathematical Society)

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The Method of Layer Potentials for the Heat Equation in Time-Varying Domains (Memoirs of the American Mathematical Society)
John L. Lewis , and Margaret A. M. Murray
Manufacturer: Amer Mathematical Society
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Binding: Paperback

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Recent years have seen renewed interest in the solution of parabolic boundary value problems by the method of layer potentials, a method that has been extraordinarily useful in the solution of elliptic problems. This book develops this method for the heat equation in time-varying domains. In the first chapter, Lewis and Murray show that certain singular integral operators on $L^p$ are bounded. In the second chapter, they develop a modification of the David buildup scheme, as well as some extension theorems, to obtain $L^p$ boundedness of the double layer heat potential on the boundary of the domains. The third chapter uses the results of the first two, along with a buildup scheme, to show the mutual absolute continuity of parabolic measure and a certain projective Lebesgue measure. Lewis and Murray also obtain $A_\infty$ results and discuss the Dirichlet and Neumann problems for a certain subclass of the domains.

A new class of singular integral equations and its application to differential equations with singular coefficients

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A new class of singular integral equations and its application to differential equations with singular coefficients
L. G Mikhailov
Manufacturer: Wolters-Noordhoff
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Binding: Unknown Binding

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Book Description

This first volume of The Library of America's complete prose works of Herman Melville includes three romances of the South Seas. "Typee" and "Omoo," based on the young Melville's experiences on a whaling ship, are exuberant accounts of the idyllic life among the "cannibals" in Polynesia. They remained his most popular works well into the 20th century. "Mardi" ("the world" in Polynesian) is a mixture of love story, adventure, and political allegory, set on a mythical Pacific island, that looks forward to the complexities of "Moby-Dick." Together, these three romances give early evidence of the genius and daring that make Melville the master novelist of the sea and a precursor of modernist literature. Two companion volumes--"Herman Melville: Redburn, White-Jacket, Moby-Dick" and "Herman Melville: Pierre, Israel Potter, The Piazza Tales," "The Confidence Man, Uncollected Prose, and Billy Budd" complete this edition of Melville's prose.

Customer Reviews:

The first Library of America book I read.......2007-08-29

Back a few years ago, I bought the entire series of Library of America books, some 173 books, each with as many as 1,600 small-print pages. Typically, each volume contains several books (say novels) by an author.

The quality of the writing they have selected is marvelous. There are very few "dogs". Below are my ratings of all the stuff I've read so far (a miniscule fraction of the total library), along with, of course, my completely nonsensical (often sports or pop culture) author nicknames.

And they keep sending me new books faster than I can read the existing ones...

Practically all that I've read ranges from good to fantastic, and I stop reading ones I don't like, so almost all of the books cited below are worthy by my standards. No stars means good, * means especially good, ** means great, and I think I also gave one or two books ***. The numbers are the series # of the book out of the 173 published so far.

A book of Henry James' fiction (not in the LOA series) that I read about 3 years ago got me started on this quest, a supplement to my quest of playing the entire history of baseball via APBA.

1. Herman "Franks" Melville: Typee* ("Idyllic") 316 pps
1. Herman "Franks" Melville: Omoo ("Picks up where Typee left off") 330 pps

2. Nathaniel "Nate the Skate" Hawthorne: Assorted Stories ("Some hard to follow") 301 pps

4. Harriet "and Ozzy" Beecher Stowe: Uncle Tom's Cabin** ("Uncle Tom is no 'Uncle Tom'") 520 pps

5. Mark "Shania" Twain: The Adventures of Tom Sawyer* ("Hilarious moments for a different kind of Tom") 216 pps

10. Nathaniel "Nate the Skate" Hawthorne: Fanshawe* ("Young scholar, romance, skullduggery") 114 pps

6. Jack "Gene" London: The Call of the Wild ("Savage") 86 pps
6. Jack "Gene" London: White Fang* ("Roger Vick-type dog-fighting
action") 198 pps

8. William Dean "Bailey" Howells: A Foregone Conclusion* ("Gripping, intricate romance") 172 pps
8. William Dean "Bailey" Howells: A Modern Instance ("Marriage gone awry in repressed times") 418 pps

11. Francis "Shibe" Parkman: Pioneers of France in the New World** ("What it was REALLY like") 330 pps
11. Francis "Shibe" Parkman: The Jesuits in North America* ("More of these accurate depictions") 382 pps

14. Henry "Don" Adams: Democracy** ("Real politics 1800's-style")

16. Washington "Dr. J" Irving: Early writings ("Boring at times") 87 pps

18. Stephen "Whooping" Crane: Maggie: A Girl of the Streets ("Fascinating but grim") 74 pps
18. Stephen "Whooping" Crane: The Red Badge of Courage* ("True face of war") 134 pps

19. Edgar "Teletubbie" Poe: Assorted Stories ("Truly weird") 188 pps

29. Henry "Edgeron" James: Washington Square* ("Plain woman trapped") 190 pps

30. Edith Wharton "School": The House of Mirth* ("Reese Witherspoon plays role in movie") 348 pps

33. Frank "Chuck" Norris: Vandover and the Brute ("Wolf-man emerges") 260 pps
33. Frank "Chuck" Norris: McTeague** ("Greed prevails") 312 pps

35. Willa "Thrilla" Cather: Assorted stories ("Oblique") 76 pps

36. Theodore "Early" Dreiser: Sister Carrie** ("Young lives go opposite directions") 456 pps

37. Benjamin "Joe" Franklin Assorted Writings* ("Brilliant satire") 87 pps

39. Flannery "Father" O'Connor: Wise Blood ("Liked better at 25") 132 pps

55. Richard "Gary" Wright: Lawd Today!** ("Unforgettable humor, violence") 220 pps

59. Sinclair "Jerry" Lewis: Main Street* ("Small-town USA") 486 pps

69. "Ornery" Sarah Orne Jewett: Deephaven* ("Atmospheric")

72. John "Franken" Steinbeck: The Pastures of Heaven** ("Modern Gothic") 170 pps

74. Zora Neale "Zorro" Hurston: Jonah's Gourd Vine ("Black preacher")

97. James "I think I'm going" Baldwin: Go Tell it on the Mountain ("Conversion experience") 216 pps

101. Eudora "The Explorer" Welty: The Robber Bridegroom ("Ridiculous fairy tale") 88 pps

103. Brockden "Les" Brown: Wieland* ("Early Gothic chills") 228 pps

111. Henry "Etta" James: Assorted Stories 1864-74** ("Consistently compelling") 430 pps

117. F. Scott "Ella" Fitzgerald: This Side of Paradise* ("Ultimately sublime") 252 pps

126. Dawn "Boog" Powell: Dance Night* ("Small-town romance in 1920's") 204 pps

134. Paul "Super" Bowles: The Sheltering Sky* ("Sophisticates lost in Africa") 252 pps

148. James T. "Turk" Farrell: Young Lonigan* ("Coming of age in tough streets") 176 pps

164. William Faulkner "Pontiac, Buick, GMC Trucks": Soldier's
Pay*** ("Unique, gripping") 256 pps
164. William Faulkner "Pontiac, Buick, GMC Trucks": Mosquitos** ("Indescribable romp") 284 pps
164. William Faulkner "Pontiac, Buick, GMC Trucks": Flags in the Dust ("Doomed family") 336 pps
164. William Faulkner "Pontiac, Buick, GMC Trucks": The Sound and the Fury ("Bewildering") 268 pps

The Growth of a Seeker.......2000-11-18

Among the early products of the wonderful Library of America Series were three volumes devoted to the novels of Herman Melville. This volume consists of Melville's first three novels, Typee(1846), Omoo(1847) and Mardi (1849)

Melville's novels are based, more or less loosely, on his life at sea. The first two novels describe voyages to the Marquesas and to Tahiti. They are filled with lush descriptions of scenery, and tales of adventure. Of the two, Typee is filled with encounters with cannibals and Polynesian maidens while Omoo presents a wider canvas of characters and scenes. Both books emphasize the sexual openness and relative simplicity of Polynesian life as compared to life in the United States and both books are critical as well of attempts to Christianize the islanders. These are not unusual themes today and probably were not as radical in the 1840s as one might suppose. The stories are well told and the descriptions alluring. These books made Mellville's reputation as a young writer.

Mardi, however, is the gem of this collection. Its relationship to the earlier novels can be analogized, say, to the relationship between the young Beethoven's first symphony on the one hand and the growth of language and thought in the second and third symphonies on the other hand. Melville prefaces the book with the note that his first two books were fact-based but were received with "incredulity" while Mardi was pure romance and "might be recieved for a verity." (Little likelihood of that)

The book as in a baroque, ornate, and bravado style that Melville would bring to completion in Moby Dick. It is an allegory involving the search for Yillah, a strange, mthical maiden, through the seas of Mardi -- Polynesian for "the world". The narrator is accompanied by King Media, by the philosopher Babbalanja, the singer Yoomi, and the historian Mohi. There are many wonderfully exasperating discussions. They wander far and wide in search of Yillah and in there wandering we here many religious allegories and many depictions of the Europe and United States of Melville's own time. There are shadowy maidens, villans, long scenes in the empty wide ocean, and pages of Melvillian thought and bluster.

The book is high American romanticism and presents a religious and personal quest by the narrator that resounds of similar quests by many in our own day. For example, there is a famous unfinished novel of the religious quest called Mount Analogue by a French writer, Duhamel, which fits quite compactly into just a few chapters of Mardi. Mardi is a long, maddenlingly difficult book but worth the effort.

Book Description

Melville's continuing adventures in the South Seas—now for the first time in Penguin Classics

Following the commercial and critical success of Typee, Herman Melville continued his series of South Sea adventure-romances with Omoo. Named after the Polynesian term for a rover, or someone who roams from island to island, Omoo chronicles the tumultuous events aboard a South Sea whaling vessel and is based on Melville's personal experiences as a crew member on a ship sailing the Pacific. From recruiting among the natives for sailors to handling deserters and even mutiny, Melville gives a first-person account of life as a sailor during the nineteenth century filled with colorful characters and vivid descriptions of the far-flung locales of Polynesia.

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Beginning Melville - a charming start to a literary career.

Omoo does wander

Melville's second novel...

Omoo
Herman Melville
Manufacturer: Dover Publications
ProductGroup: Book
Binding: Paperback

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Similar Items:

Typee: A Peep at Polynesian Life (Penguin Classics)

In the South Seas (Penguin Classics)

Mardi and a Voyage Thither: Volume Three (Melville)

Redburn: His First Voyage, Being the Sailor-Boy, Confessions and Reminiscences of the Son-of-a-Gentleman, In the Merchant Service (Penguin English Library)

South Sea Tales (Oxford World's Classics)

ASIN: 0486408736

Book Description

A failed mutiny lands the narrator in a Tahitian jail where he and his companion are treated with curiosity and kindness. After their eventual release, the two embark on a series of adventures as they work at odd jobs, view traditional rites and customs on the island, and contrive an audience with the Tahitian queen.

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It was the middle of a bright tropical afternoon that we made good our escape from the bay. The vessel we sought lay with her main-topsail aback about a league from the land, and was the only object that broke the broad expanse of the ocean.

Customer Reviews:

Beginning Melville - a charming start to a literary career........2005-06-09

The word that keeps coming to mind as I think about this book is "charming". Melville was in a good mood when he wrote "Omoo", no doubt enjoyed looking back on a very pleasurable period of his still-young life. While it is true that "Omoo" wasn't nearly as successful as "Typee" had been, it is still an impressive work for a young man in his mid-twenties.

I enjoyed his portraits of the people he meets, and especially of his doctor friend, "Long Ghost". His descriptions of Polynesian life and the historical context are quite interesting. And it's funny: Melville had very good sense of humor, displays it throughout "Omoo".

While the book is mainly a picaresque story of adventure, recounting the details of daily life in an exotic setting, and is a much happier book than "Typee", there are a few scenes that preview Melville's later narrative power. Here is the "Julia" in a tropical Pacific gale:

"Under such a press of canvas, and with the heavy sea running, the barque, diving her bows under, now and then shipped green glassy waves, which, breaking over the head-rails, fairly deluged that part of the the ship, and washed clear aft."

And here is a glimpse of the brooding quality of his later work:

"But my meditations were soon interrupted by a gray, spectral shadow cast over the heaving billows. It was the dawn, soon followed by the first rays of the morning. They flashed into view at one end of the arched night, like - to compare great things with small - the gleamings of Guy Fawkes's lantern in the vaults of the Parliament House. Before long, what seemed a live ember rested for a moment on the rim of the ocean, and at last the blood-red sun stood full and round in the level East, and the long sea-day began."

But these are very isolated examples. By and large, "Omoo" is a great contrast with Melville's other books. It is a light, easy, and amusing read. Highly recommended for Melville fans.

Helpful critical works on Melville:

Newton Arvin - "Herman Melville"
D.H. Lawrence -"Studies in Classic American Literature".
F.O. Matthiessen - "American Renaissance"

Note: This particular edition is from the Northwestern-Newberry Edition of Melville's works, and is an MLA Approved Text. As such, it is authoritative, but it lacks an explanatory introduction, which may be a slight drawback.

Omoo does wander.......2001-03-21

This book can be read on its own even though it is the sequel to TYPEE. There are 82 short chapters that cover life on a whaler and various experiences on the island of Tahiti as well as surrounding islands. We get a feel for life on a whaler and for life on the islands and how foreigners, especially missionaries, influenced the natives for the worse.

Omoo means a rover or one who wanders from island to island. Thus the title fits the feel of the narrative, but also points out a shortcoming as the book roves too much. We are taken from situation to situation a bit too abruptly. There are many characters and events that are introduced, but usually only on a superficial level. I would have liked more in-depth analysis from Melville as many of the characters were just that--characters. Also there are many, for me, unknown nautical terms used that made the reading hard work.

However, enough of the stories give you the sense of being "omoo", especially in a time vastly different from our own, that I recommend the book, even with the many sections that make you plod.

Melville's second novel..........2000-07-18

is an excellent travel memoir (partially fictionalized) in the same vein as Typee.

Typee struck me most by its pictorial quality and sumptuous imagery. In Omoo, however, Melville shores up his powers of characterization, creating a fine supporting cast of individuals.

If you are only familiar with Melville's later work, you will be surprised by the wry sense of humor Melville flashes throughout. Detailed descriptions of practical jokes, drunken brawls, and cultural faux-pas will make you smile, and sometimes laugh out loud. Certain passages are actually a riot!

Also, in this novel (as compared to Typee), Melville's intrusions into the narrative are less glaring than they are in the previous novel. Yes, some of the diversions take the steam out of the narrative, as in Typee, but these diversions oftentimes give necessary exposition to illuminate characters' motivations.

The beginning of the novel effectively captures the claustrophobic atmosphere aboard a whaling ship, and the crew are indeed a motley lot.

Book Description

In one corner, upon a large native couch, elevated upon posts, reclined a nymph; who, half-veiled in her own long hair, had yet to make her toilet for the day. She was the daughter of Po-Po; and a very beautiful little daughter she was; not more than fourteen; with the most delightful shape--like a bud just blown; and large hazel eyes. They called her Loo; a name rather pretty and genteel, and therefore quite appropriate; for a more genteel and lady-like little damsel there was not in all Imeeo.

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OMOO
HERMAN MELVILLE
Manufacturer: L.C.PAGE & COMPANY
ProductGroup: Book
Binding: Hardcover

Product Description

THE AUTHOR'S STATED INTENTION IS TO DESCRIBE HIS EXPERIENCES DURING HIS VOYAGE TO POLYNESIA. AS BEFITS THE AUTHOR, THE TITLE OF THE WORK--OMOO--IS BORROWED FROM THE DIALECT OF THE MARQUESAS ISLANDS, WHERE, AMONG OTHER USES, THE WORD SIGNIFIES A ROVER, OR RATHER, A PERSON WANDERING FROM ONE ISLAND TO ANOTHER."

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Omoo
Herman. Illustrated By Reynolds Stone. Introduction By Van Wyck Brooks Melville
Manufacturer: Limited Editions Club
ProductGroup: Book
Binding: Hardcover
ASIN: B000QXRKV8

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Omoo
Herman Melville
Manufacturer: HERITAGE PRESS
ProductGroup: Book
Binding: Hardcover

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Omoo
Herman Melville
Manufacturer: Hodder and Stoughton
ProductGroup: Book
Binding: Unknown Binding

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Omoo
Herman Melville
Manufacturer: EASTON PRESS
ProductGroup: Book
Binding: Hardcover

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Omoo
Reynolds] Melville, Herman [Stone
Manufacturer: Limited Editions Club
ProductGroup: Book
Binding: Hardcover
ASIN: B000KVVJDQ

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