Introduction to Vertex Operator Superalgebras and Their Modules (Mathematics and Its Applications)

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This book presents a systematic study on the structures of vertex operator superalgebras and their modules. Related theories of self-dual codes and lattices are included, as well as recent achievements on classifications of certain simple vertex operator superalgebras and their irreducible twisted modules, constructions of simple vertex operator superalgebras from graded associative algebras and their anti-involutions, self-dual codes and lattices.
Audience: This book is of interest to researchers and graduate students in mathematics and mathematical physics.

Introduction to Subfactors (London Mathematical Society Lecture Note Series)

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Introduction to Subfactors (London Mathematical Society Lecture Note Series)
V. Jones , and V. S. Sunder
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Paperback

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ASIN: 0521584205

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Subfactors, a subject of considerable research activity for about fifteen years, are known to have significant relations with other fields such as low dimensional topology and algebraic quantum field theory. The authors present a new pictorial approach to subfactors in addition to discussions of basic principles. This book provides an important introduction to the subject and is aimed at students with only a little familiarity with the theory of Hilbert space and other newcomers to the field.

An Introduction to Operator Algebras (Studies in Advanced Mathematics)

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An Introduction to Operator Algebras (Studies in Advanced Mathematics)
Kehe Zhu
Manufacturer: CRC
ProductGroup: Book
Binding: Hardcover

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An Introduction to Operator Algebras is a concise text/reference that focuses on the fundamental results in operator algebras. Results discussed include Gelfand's representation of commutative C*-algebras, the GNS construction, the spectral theorem, polar decomposition, von Neumann's double commutant theorem, Kaplansky's density theorem, the (continuous, Borel, and L8) functional calculus for normal operators, and type decomposition for von Neumann algebras. Exercises are provided after each chapter.

Functional Analysis: An Introduction (Graduate Studies in Mathematics)

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Functional Analysis: An Introduction (Graduate Studies in Mathematics)
Yuli Eidelman , Vitali Milman , and Antonis Tsolomitis
Manufacturer: American Mathematical Society
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Binding: Hardcover

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Analysis (Graduate Studies in Mathematics)
Real Analysis: Measure Theory, Integration, and Hilbert Spaces (Princeton Lectures in Analysis)
Fourier Analysis (Graduate Studies in Mathematics) (Graduate Studies in Mathematics)
Functional Analysis (Springer Classics in Mathematics)
Riemannian Geometry

ASIN: 0821836463

Book Description

This textbook provides an introduction to the methods and language of functional analysis, including Hilbert spaces, Fredholm theory for compact operators, and spectral theory of self-adjoint operators. It also presents the basic theorems and methods of abstract functional analysis and a few applications of these methods to Banach algebras and the theory of unbounded self-adjoint operators.

The text corresponds to material for two semester courses (Part I and Part II, respectively) and is essentially self-contained. Prerequisites for the first part are minimal amounts of linear algebra and calculus. For the second part, some knowledge of topology and measure theory is recommended. Each of the 11 chapters is followed by numerous exercises, with solutions given at the end of the book.

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Dirac operators play an important role in several domains of mathematics and physics, for example: index theory, elliptic pseudodifferential operators, electromagnetism, particle physics, and the representation theory of Lie groups. In this essentially self-contained work, the basic ideas underlying the concept of Dirac operators are explored. Starting with Clifford algebras and the fundamentals of differential geometry, the text focuses on two main properties, namely, conformal invariance, which determines the local behavior of the operator, and the unique continuation property dominating its global behavior. Spin groups and spinor bundles are covered, as well as the relations with their classical counterparts, orthogonal groups and Clifford bundles. The chapters on Clifford algebras and the fundamentals of differential geometry can be used as an introduction to the above topics, and are suitable for senior undergraduate and graduate students. The other chapters are also accessible at this level so that this text requires very little previous knowledge of the domains covered. The reader will benefit, however, from some knowledge of complex analysis, which gives the simplest example of a Dirac operator. More advanced readers---mathematical physicists, physicists and mathematicians from diverse areas---will appreciate the fresh approach to the theory as well as the new results on boundary value theory.

Introduction to Banach Algebras, Operators, and Harmonic Analysis (London Mathematical Society Student Texts)

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Introduction to Banach Algebras, Operators, and Harmonic Analysis (London Mathematical Society Student Texts)
H. Garth Dales , Pietro Aiena , Jörg Eschmeier , Kjeld Laursen , and George A. Willis
Manufacturer: Cambridge University Press
ProductGroup: Book
Binding: Hardcover

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Based on lectures given at an instructional course, this volume enables readers with a basic knowledge of functional analysis to access key research in the field. The authors survey several areas of current interest, making this volume ideal preparatory reading for students embarking on graduate work as well as for mathematicians working in related areas.

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This work has arisen from lecture courses given by the authors on important topics within functional analysis. The authors, who are all leading researchers, give introductions to their subjects at a level ideal for beginning graduate students, and others interested in the subject. The collection has been carefully edited so as to form a coherent and accessible introduction to current research topics. The first chapter by Professor Dales introduces the general theory of Banach algebras, which serves as a background to the remaining material. Dr Willis then studies a centrally important Banach algebra, the group algebra of a locally compact group. The remaining chapters are devoted to Banach algebras of operators on Banach spaces: Professor Eschmeier gives all the background for the exciting topic of invariant subspaces of operators, and discusses some key open problems; Dr Laursen and Professor Aiena discuss local spectral theory for operators, leading into Fredholm theory.

Infinite Matrices and their Finite Sections: An Introduction to the Limit Operator Method (Frontiers in Mathematics)

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Infinite Matrices and their Finite Sections: An Introduction to the Limit Operator Method (Frontiers in Mathematics)
Marko Lindner
Manufacturer: Birkhäuser Basel
ProductGroup: Book
Binding: Paperback

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ASIN: 3764377666

Elementary Introduction to the Theory of Pseudodifferential Operators (Studies in Advanced Mathematics Series)

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Elementary Introduction to the Theory of Pseudodifferential Operators (Studies in Advanced Mathematics Series)
Xavier Saint Raymond
Manufacturer: CRC
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Binding: Hardcover

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ASIN: 0849371589

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In the 19th century, the Fourier transformation was introduced to study various problems of partial differential equations. Since 1960, this old tool has been developed into a well-organized theory called microlocal analysis that is based on the concept of the pseudo-differential operator. This book provides the fundamental knowledge non-specialists need in order to use microlocal analysis. It is strictly mathematical in the sense that it contains precise definitions, statements of theorems and complete proofs, and follows the usual method of pure mathematics. The book explains the origin of the theory (i.e., Fourier transformation), presents an elementary construcion of distribution theory, and features a careful exposition of standard pseudodifferential theory. Exercises, historical notes, and bibliographical references are included to round out this essential book for mathematics students; engineers, physicists, and mathematicians who use partial differential equations; and advanced mathematics instructors.

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Introduction to Local Spectral Theory
Kjeld B. Laursen , and Michael M. Neuman
Manufacturer: Oxford University Press, USA
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Binding: Hardcover

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ASIN: 0198523815

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Modern local spectral theory is built on the classical spectral theorem, a fundamental result in single-operator theory and Hilbert spaces. This book provides an in-depth introduction to the natural expansion of this fascinating topic of Banach space operator theory, whose pioneers include Dunford, Bishop, Foias, and others. Assuming only modest prerequisites of its readership, it gives complete coverage of the field, including the fundamental recent work by Albrecht and Eschmeier which provides the full duality theory for Banach space operators. It is highlighted by many characterizations of decomposable operators, and of other related, important classes of operators, as well as an in-depth study of their spectral properties, including identifications of distinguished parts, and results on permanence properties of spectra with respect to several types of similarity. Also found is a thorough and quite elementary treatment of the modern single- operator duality theory; this theory has many applications, both to general issues of classification and to such celebrated problems as the invariant subspace problems. A long chapter - almost a book in itself - is devoted to the use of local spectral theory in the study of spectral properties of multipliers and convolution operators. Another one describes its connections to automatic continuity theory. Written in a careful and detailed style, it contains numerous examples, many simplified proofs of classical results, and extensive references. It concludes with a list of interesting open problems, suitable for continued research.

An Introduction to Metric Spaces and Fixed Point Theory

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An Introduction to Metric Spaces and Fixed Point Theory
Mohamed A. Khamsi , and William A. Kirk
Manufacturer: Wiley-Interscience
ProductGroup: Book
Binding: Hardcover

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ASIN: 0471418250

Book Description

Presents up-to-date Banach space results.
* Features an extensive bibliography for outside reading.
* Provides detailed exercises that elucidate more introductory material.

Felix Holt, the Radical (Penguin Classics)
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Felix Holt: Riveting tale of labor disputes; a love story and a mystery told in Eliot's unique style

Underrated

The Political Novel

Felix Holt - A Literary Hero to Fall in Love with...

Incomparable

Felix Holt, the Radical (Penguin Classics)
George Eliot , and Lynda Mugglestone
Manufacturer: Penguin Classics
ProductGroup: Book
Binding: Paperback

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Romola (Penguin Classics)

Scenes of Clerical Life (Penguin Classics)

Daniel Deronda (Penguin Classics)

Adam Bede (Penguin Classics)

The Lifted Veil: Brother Jacob (Oxford World's Classics)

ASIN: 0140434356

Product Description

Two men vying for the hand of Esther, a young woman of charm and virtue, are Felix Holt, an idealistic young artisan, and Harold Transome, the intelligent heir to an estate. She is drawn to Holt yet has dreams of marrying into a life of refinement.

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Felix Holt: Riveting tale of labor disputes; a love story and a mystery told in Eliot's unique style.......2006-07-26

George Eliot (Mary Ann Evans) was a great English novelist of
the Victorian period. Her list of classics is impressive:
"Scenes from Clerical Life'; "Adam Bede"; "The Mill on the Floss"
Middlemarch" and "Daniel Deronda" are among the greatest novels
ever written in the English Language.
Felix Holt tells the story of a radical candidate for Parliament. He has become a watchmaker; cares for his mother
and courts Esther Lyon the sophisticated daughter of a poor
minister. Esther is also courted by Harold Transome who like
Holt is also a Radical candidate for Parliament. Harold is rich, 35, a widower with a young son. Holt is young, fiery and idealistic.
The most interesting character in the novel is Mrs. Transome who has secrets to keep. She is well drawn by Eliot.
In addition to the love story is the tale of an inheritance.
This tangled delve into old documents is complex and may lose
some readers.
The tale climaxes with a working man's revolt and other suprises for the interested reader. The book is not as long as
some of her novels but does hold one's interest.
This is not Eliot's best novel but it is worth reading.

Underrated.......2004-02-19

George Eliot is an acquired taste. If one were to pick up only one of her books it would probably be "The Mill on the Floss", "Silas Marner" or "Middlemarch" and with any one of those might come frustration with Eliot's myriad of plots (not to mention her tendency for being a bit wordy). But I found "Felix Holt", for all its political twists and turns, to be the most accessible of Eliot's books. This accessibility can be attributed to two of the finest characters ever created: Mrs. Transome and Ester Lyon. I would say that the character of Mrs. Transome ranks up there with Emma Bovary in terms of literary creation and chapters 42 and 49 (I don't want to give away the story) are absolutely cinematic. I truly love this book.

The Political Novel.......2003-03-12

Felix Holt occupies a middle-tier in the critical estimation of Eliot's novels. It is often disparaged as the "political novel," or alternatively "the one where the legal subplot is way too complicated."

At first, this seems unfair. The early introduction of Mrs. Transome is a showstopper, heroine Esther Lyon fascinates, and the detailed evocation of 19th century rural politics is through Eliot's narrative magic made riveting.

But things do go awry in the second half. A big problem is Felix himself: an idealization of a political view rather than a detailed character, the reader loves him rather less than Eliot seems to intend. The legal schenanigans are intriguing, but the tortuous plot machinations through which Felix comes to be imprisoned are near ridiculous. And finally, Esther experiences her moral conversion rather too quickly and tidily, coming to seem just a sketch for Gwendolyn Harleth in the later Daniel Deronda. Indeed, by book's end the most compelling plot thread standing is that of the unfortunate Mrs. Transome.

But to say a book isn't as good as Daniel Deronda isn't much of a criticism. For all its faults, Felix Holt is filled with excellent characters, a strong story, and unparalled insight into both 19th century England and the more universal collisions of morality and politics.

Felix Holt - A Literary Hero to Fall in Love with..........2001-12-27

This is my 4th novel by George Eliot (after "Adam Bede", "Middlemarch" and "The Mill on the Floss") and it has become my favourite along with "Middlemarch". "Felix Holt" is so marvelously written and gave me many hours of reading pleasure - I can't understand why it's not as highly acclaimed or well-known as Eliot's other novels.

If you're a fan of Victorian literature, then you mustn't miss this brilliant work. The story's set in the 1830s and is 1/3 focused on politics (i.e. a fascinating insight into the electioneering process and the fight for a Parliamentary seat between the Torys and the Radicals), 1/3 on family and sensational issues (e.g. illegitimacy, dispute over who has the legitimate claim on the wealthy estates of the Transome family and plenty of blackmail, manipulation and betrayals) and 1/3 devoted to a love triangle.

George Eliot wrote so eloquently and beautifully that many times I find myself re-reading a particular phrase in order to saviour its beautiful words. Each chapter also starts with either a beautiful poem or some well-chosen lines from Shakespeare/the Classics. Here's a favourite of mine from Chapter 45 (a poem by Eliot):

"We may not make this world a paradise
By walking it together with clasped hands
And eyes that meeting feed a double strength.
We must be only joined by pains divine,
Of spirits blent in mutual memories".

I confess that above all, it is the suspense over the touching love story that kept me turning the pages very quickly. The hero is Felix Holt, a passionate, idealistic young man who studies medicine but chooses to quit midway and forgo a comfortable future as a doctor in favour of leading the more righteous life (in his opinion) of an ordinary, poor workingman because of his scorn for wealth and its corrupting powers. Felix is described as honest, brusque, generous and highly intelligent. He's got "wild hair", dresses simple and to his own liking e.g. not wearing a cravat "like all the other gentlemen", and sometimes looks like a "barbarian". He patronizes no one and is rather unpopular in the town of Treby Magna where the story takes place. His political views are Radical (i.e. more severe than the Liberals) but his main concerns are for the well-being of the working class and especially the future of their children. (Read the excellent "Address to Working Men by Felix Holt" which comes after the Epilogue). Felix's good intentions land him in great trouble with the law later on when a massive riot breaks out among the drunk working class directly after the election and Felix is wrongly accused of being the leader of the mob.

Early on in the novel, Felix is introduced to the heroine, Esther Lyon (the beautiful daughter of a poor chapel minister) whose vanity and high-bred manner he scorns. He rebukes and lectures her constantly in that straight-forward and honest manner of his because he cares to improve her views on what are truly the important things in life. Esther dislikes him utterly at first... she cannot understand why Felix doesn't admire her beauty and graceful manners like other young men do. Esther is vain and proud (at least, initially) and has always dreamed of leading a better life, with fineries and beautiful clothes and servants to do her bidding. And Felix Holt is definitely not her idea of a lover! But Esther is not unkind or ungenerous - she loves her father dearly and treats everyone well. Gradually, she begins to see the true nature of Felix's character and noble aims, and holds him in great esteem, despite his outward looks and manners. But Felix has declared never to marry and if he were ever to fall in love, he would just "bear it and not marry" (preferring to "wed poverty"). Later in the novel, Esther is courted by the rich and handsome Harold Transome whose initial reason for wooing her is to save his family estates. But he doesn't count on falling in love with her subsequently.

Who does Esther ends up with finally: Felix or Harold? But take it from me that the romantic scenes between Felix and Esther are the most passionate and heart-wrenching I've ever come across in a classic literature - with many kisses and hugs amidst pure longing and despair, and scenes filled with beautifully spoken words of affection which brought tears to my eyes.

For many, many reasons, "Felix Holt" makes for a most brilliant read. I urge you not to miss it.

Incomparable.......2000-05-21

Some might say nothing can equal Middlemarch as Eliot's greatest work but I think that even if Felix Holt doesn't rank alongside it in literature, it should be given at least an equal status.

The novel deals with provincial politics in nineteenth century England through the mouthpiece of one of the best male protagonists ever drwan in literature by a female writer. As in all her books, Eliot is sharp in her details, the satire is poignant and she doesn't miss out on humor. Feminism takes a different turn here, with telling criticisms on the way females were brought up at that time and in many third world countries, still are brought up.

Eliot is never bitter, never hopeless, yet always realistic and idealistic with this difference: she doesn't let it get out of control. Fear not: mawkish is the last thing this book is. Some details might seem to be superfluous but it adds up to showing the literary prowess of this great woman, and is very helpful in letting you understand the real stuff going on at that time. A good, very well-written socio-political novel, that depicts the atmosphere of its time with more accuracy than many other books I've read.

Eliot does have the most amazing ability to get into her characters' minds. although this book is an all rounder in the sense that it comments on most social issues, the two main intimate themes of the books are personal to the central character, Felix, the most "alive" hero of nineteenth century literature: his politics and his love interest, in herself a very compelling and subtly drwan character.

Book Description

Felix Holt, austere, idealistic, and passionate, is pitted against the self-satisfied local landlord Harold Transome in this story set in a Midland borough at the time of the Great Reform Bill of 1832. Every class of society is included in Eliot's vivid picture of political ferment.

Customer Reviews:

Perfect reading for an election year.......2000-11-09

I've heard a lot of moaning this year about how democracy is dead and how much better things were in the good old days. Eliot's unromantic view of human nature is the perfect cure for all that. As she tells it, people were dumb, and cunning, and selfish back then - just as they are today. The biggest difference was that most people weren't allowed to vote: "universal suffrage" was about as beyond-the-pale then as gay marriage is today.

Here's the TV preview version: _Felix Holt_ is a lively mix of barroom treating, soapbox preachers, riots, bribery, "irregularities," and a courtroom scene with a shocking finale! One caveat: readers spoiled on modern pap may find this novel difficult going. But it's worth it.

Wonderful novel of 19th century society........1999-06-23

Felix Holt combines themes of political responsibility and social concern amidst the background of a community that is facing problems involved with the rapid industrialization of the country. Eliot depicts a village caught in a battle between tradition and progressivism. The characters who make up this struggle are brilliantly portrayed. There is even a sweet romantic twist to the story that renders it even more enjoyable. Eliot gives one the impression that in order for society to make advances for the good of all, some people must willingly give up the prosperity and status that accompanies a largely capitalistic state. It is through such noble acts that those less fortunate can gain a voice in a system that constantly represses them. This is the major theme of this incredible novel.

FELIX HOLT - The Radical - with - JUBAL and other poems; and - THE SPANISH GYPSY

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FELIX HOLT - The Radical - with - JUBAL and other poems; and - THE SPANISH GYPSY
George (Mary Ann Evans) Eliot
Manufacturer: Belford Clarke
ProductGroup: Book
Binding: Hardcover
ASIN: B000HP8KMI

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FELIX HOLT The Radical
George Eliot
Manufacturer: no date circa 1900 Lovell, Coryell & Co., NY Oxford Edition
ProductGroup: Book
Binding: Hardcover

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Felix Holt : The Radical

Manufacturer: John B. Alden
ProductGroup: Book
Binding: Hardcover

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FELIX HOLT THE RADICAL
George Eliot
Manufacturer: Wm. l. Allison Company
ProductGroup: Book
Binding: Hardcover

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FELIX HOLT THE RADICAL
ELIOT
Manufacturer: COLLINS CLEAR-TYPE
ProductGroup: Book
Binding: Hardcover
ASIN: B000SAAM00

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Felix Holt The Radical
George Eliot
Manufacturer: Kessinger Publishing
ProductGroup: Book
Binding: Paperback

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Felix Holt, when he entered, was not in an observant mood; and when, after seating himself, at the minister's invitation, near the little table which held the work-basket, he stared at the wax-candle opposite to him, he did so without any wonder or consciousness that the candle was not of tallow. But the minister's sensitiveness gave another interpretation to the gaze which he divined rather than saw; and in alarm lest this inconsistent extravagance should obstruct his usefulness, he hastened to say.

Felix Holt the Radical (The Personal Edition of George Eliot's Works)

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Felix Holt the Radical (The Personal Edition of George Eliot's Works)
George Eliot
Manufacturer: Doubleday, Page & Co
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Binding: Hardcover

Felix Holt the Radical. (Novels of George Eliot )

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Felix Holt the Radical. (Novels of George Eliot )
George Eliot
Manufacturer: William Blackwood
ProductGroup: Book
Binding: Paperback
ASIN: B000VZ3CEK

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