Error-Correcting Codes and Finite Fields (Oxford Applied Mathematics and Computing Science Series)

Book Description

This book provides the reader with all the tools necessary to implement modern error-processing schemes. It assumes only a basic knowledge of linear algebra and develops the mathematical theory in parallel with the codes. Central to the text are worked examples which motivate and explain the theory. The book is in four parts. The first introduces the basic ideas of coding theory. The second and third parts cover the theory of finite fields and give a detailed treatment of BCH and Reed-Solomon codes. These parts are linked by their use of Euclid's algorithm as a central technique. The fourth part is devoted to Goppa codes, both classical and geometric, concluding with the Skorobogatov-Vladut error processor. A special feature of this part is a simplified (but rigorous) treatment of the geometry of curves.

Customer Reviews:

Highly recommended, excellent for self study.......2006-03-19

I have used this book for self study of the subject of error correction coding and I find it excellent. It is clear and well organized, with easy language and good examples all along. It does not require a professional mathematician to understand even the most subtle passages.
I read it in conjuction with Todd Moon's other book on Error Correction Coding (also an excellent choice) and although Pretzel's book is much shorter and without examples of hardware, I much appreciated its style and structure.
It would be nice if the author would publish an up-to-date errata of the several printing mistakes.

Clear and intuitive.......2003-06-18

Overall an excellent book on coding theory. Pretzel discusses fundamental codes for error correction such as hamming codes, BCH codes and Reed-Solomon codes. His presentation of finite fields is excellent. He does not simply slap equations down but leads you by way of examples and intuition and then applies them towards the construction of BCH and Reed-Solomon codes. This is an excellent book on coding theory.

Very useful book for computer sciences........1999-11-17

This book have a good introduction of basic coding theory. Very interesting the Z/2 fields and the polynomial arithmetic. This book is used at University of Salamanca, 5th of Ingenieria Informatica.

Algorithmic Number Theory: 4th International Symposium, ANTS-IV Leiden, The Netherlands, July 2-7, 2000 Proceedings (Lecture Notes in Computer Science)

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Algorithmic Number Theory: 4th International Symposium, ANTS-IV Leiden, The Netherlands, July 2-7, 2000 Proceedings (Lecture Notes in Computer Science)

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ASIN: 3540676953

Book Description

This book constitutes the refereed proceedings of the 4th International Algorithmic Number Theory Symposium, ANTS-IV, held in Leiden, The Netherlands, in July 2000.The book presents 36 contributed papers which have gone through a thorough round of reviewing, selection and revision. Also included are 4 invited survey papers. Among the topics addressed are gcd algorithms, primality, factoring, sieve methods, cryptography, linear algebra, lattices, algebraic number fields, class groups and fields, elliptic curves, polynomials, function fields, and power sums.

Algorithmic Number Theory: 5th International Symposium, ANTS-V, Sydney, Australia, July 7-12, 2002. Proceedings (Lecture Notes in Computer Science)

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Algorithmic Number Theory: 5th International Symposium, ANTS-V, Sydney, Australia, July 7-12, 2002. Proceedings (Lecture Notes in Computer Science)

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ASIN: 3540438637

Book Description

This book constitutes the refereed proceedings of the 5th International Algorithmic Number Theory Symposium, ANTS-V, held in Sydney, Australia, in July 2002.The 34 revised full papers presented together with 5 invited papers have gone through a thorough round of reviewing, selection and revision. The papers are organized in topical sections on number theory, arithmetic geometry, elliptic curves and CM, point counting, cryptography, function fields, discrete logarithms and factoring, Groebner bases, and complexity.

Algorithmic Number Theory: 7th International Symposium, ANTS-VII, Berlin, Germany, July 23-28, 2006, Proceedings (Lecture Notes in Computer Science)

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Algorithmic Number Theory: 7th International Symposium, ANTS-VII, Berlin, Germany, July 23-28, 2006, Proceedings (Lecture Notes in Computer Science)

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This book constitutes the refereed proceedings of the 7th International Algorithmic Number Theory Symposium, ANTS 2006, held in Berlin, Germany in July 2006.

The 37 revised full papers presented together with 4 invited papers were carefully reviewed and selected for inclusion in the book. The papers are organized in topical sections on algebraic number theory, analytic and elementary number theory, lattices, curves and varieties over fields of characteristic zero, curves over finite fields and applications, and discrete logarithms.

Algorithmic Number Theory: Third International Symposium, ANTS-III, Portland, Orgeon, USA, June 21-25, 1998, Proceedings (Lecture Notes in Computer Science)

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Algorithmic Number Theory: Third International Symposium, ANTS-III, Portland, Orgeon, USA, June 21-25, 1998, Proceedings (Lecture Notes in Computer Science)

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ASIN: 3540646574

Book Description

This book constitutes the refereed proceedings of the Third International Symposium on Algorithmic Number Theory, ANTS-III, held in Portland, Oregon, USA, in June 1998.The volume presents 46 revised full papers together with two invited surveys. The papers are organized in chapters on gcd algorithms, primality, factoring, sieving, analytic number theory, cryptography, linear algebra and lattices, series and sums, algebraic number fields, class groups and fields, curves, and function fields.

Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 16th International Symposium, AAECC-16, Las Vegas, NV, USA, February 20-24, 2006, Proceedings (Lecture Notes in Computer Science)

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Applied Algebra, Algebraic Algorithms and Error-Correcting Codes: 16th International Symposium, AAECC-16, Las Vegas, NV, USA, February 20-24, 2006, Proceedings (Lecture Notes in Computer Science)

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ASIN: 3540314237

Book Description

This book constitutes the refereed proceedings of the 16th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-16, held in Las Vegas, NV, USA in February 2006.

The 25 revised full papers presented together with 7 invited papers were carefully reviewed and selected from 32 submissions. Among the subjects addressed are block codes; algebra and codes: rings, fields, and AG codes; cryptography; sequences; decoding algorithms; and algebra: constructions in algebra, Galois groups, differential algebra, and polynomials.

Arithmetic of Finite Fields: First International Workshop, WAIFI 2007, Madrid, Spain, June 21-22, 2007, Proceedings (Lecture Notes in Computer Science)

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Arithmetic of Finite Fields: First International Workshop, WAIFI 2007, Madrid, Spain, June 21-22, 2007, Proceedings (Lecture Notes in Computer Science)

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ASIN: 3540730737

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This book constitutes the refereed proceedings of the First International Workshop on the Arithmetic of Finite Fields, WAIFI 2007, held in Madrid, Spain in June 2007.

The 27 revised full papers presented were carefully reviewed and selected from 94 submissions. The papers are organized in topical sections on structures in finite fields, efficient implementation and architectures, efficient finite field arithmetic, classification and construction of mappings over finite fields, curve algebra, cryptography, codes, and discrete structures.

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Cryptography and Coding

Manufacturer: Springer
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ASIN: 354066887X

Book Description

This book constitutes the refereed proceedings of the 7th IMA Conference on Cryptography and Coding held in Cirencester, UK, in December 1999.The 35 revised full papers presented were carefully reviewed and selected for inclusion in the proceedings. Among the topics covered are error-correcting coding, arithmetic coding for data compression and encryption, image coding, biometric authentication, broadcast channel access, graph and trellis decoding, turbo codes, convolution codes, Reed Solomon codes, elliptic curve cryptography, primality testing, finite-field arithmetic, and cryptographic protocols.

Finite Fields: Theory and Computation (Mathematics and Its Applications)

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Finite Fields: Theory and Computation (Mathematics and Its Applications)
I.E. Shparlinski
Manufacturer: Springer
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Binding: Hardcover

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ASIN: 0792356624

Book Description

This book provides an exhaustive survey of the most recent achievements in the theory and applications of finite fields and in many related areas such as algebraic number theory, theoretical computer science, coding theory and cryptography. Topics treated include polynomial factorization over finite fields, the finding and distribution of irreducible primitive and other special polynomials, constructing special bases of extensions of finite fields, curves and exponential sums, and linear recurrent sequences. Besides a general overview of the area, its results and methods, it suggests a number of interesting research problems of various levels of difficulty. The volume concludes with an impressive bibliographical section containing more than 2300 references.
Audience: This work will be of interest to graduate students and researchers in field theory and polynomials, number theory, symbolic computation, symbolic/algebraic manipulation, and coding theory.

Public Key Cryptography -- PKC 2004: 7th International Workshop on Theory and Practice in Public Key Cryptography, Singapore, March 1-4, 2004 (Lecture Notes in Computer Science)

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Public Key Cryptography -- PKC 2004: 7th International Workshop on Theory and Practice in Public Key Cryptography, Singapore, March 1-4, 2004 (Lecture Notes in Computer Science)

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ASIN: 3540210180

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This book constitutes the refereed proceedings of the 7th International Workshop on Theory and Practice in Public Key Cryptography, PKC 2004, held in Singapore in March 2004.

The 32 revised full papers presented were carefully reviewed and selected from 106 submissions. All current issues in public key cryptography are addressed ranging from theoretical and mathematical foundations to a broad variety of public key cryptosystems.

Book Description

Drawing directly on her own unhappy experiences, Anne Bronte's first-person narrative describes the almost unbelievable pressures endured by nineteenth-century governesses - the isolation, the frustration, and the insensitive and sometimes cruel treatment meted out by employers and their families. Distinguished by its sharp, often ironic observation of middle-class social behaviour, this deeply personal novel also touches on religious belief, moral responsibility, and individual integrity and its survival. Using the text of the definitive Clarendon edition, this volume also incorporates Anne Bronte's previously unpublished manuscript revisions.

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Agnes Grey is undoubtedtedly a deeply personal novel, in which Anne Bronte views on the 'contemporary' issue of the treatment of governesses, as well as her passionate religious sympathies, find very deliberate expression; but she also touches on issues of moral behaviour, moral responsibility, and individual integrity and its survival.

Customer Reviews:

An un happy governess's diary.......2007-08-25

As much as I love Tenant of Wildfell Hall I can't say that I loved this work as much. If anything it does give the reader a good insight to the miserable life governess endured. However, if the coachman was to write a book, or day labour of those times were to write a book, I can't imagine that their lot in life was much fairer. So the complaint is the same complaint that holds true today: rich people have it so easy. But of course upon closer inspection, the grass isn't always greener on the other side. Rosalie learns this lesson well. Though the book picks up after Rosalie's "coming out", the story I'm most interested in, Agnes and Edward feel more like a rush job within the last seven pages of the novel. I wanted to know about them than whole chapters of a sermon from a temporarily blind person. In all, I feel this a very padded story, since Agnes doesn't really go through an metamorphis and she requires the man of her heart with no effort at all and any chancy spirited adventures. Overall: Wildfell will remain my favorite from this author.

"My House is Desolate Yet, Miss Grey...".......2007-04-16

Poor Anne Bronte. Her legacy will forever be overshadowed by the greater success of her elder sisters; Charlotte Bronte, the author of "Jane Eyre", and Emily Bronte, who gave the world "Wuthering Heights". I would love to be able to say that Anne is the hidden gem of the Bronte family, but the fact is that her work is simply not as good as that of her sisters'. She writes vividly and sympathetically, but ultimately her stories are rather forgettable, especially when compared with the trials and tribulations of Jane Eyre and the violent and passionate love affair between Heathcliff and Catherine in "Wuthering Heights" (okay, I'll admit it - it's my favourite book. I'm hopelessly biased).

Anne Bronte's most famous book "Agnes Grey", is without the timeless appeal of her sisters' novel, since it is a novel meant for her contemporary Victorian audience, one that underlined the trials and difficulties faced by governesses of the time. At this point in British history, economical and social problems had driven many young women to seek employment as governesses, and because of the influx of potential governesses, families could naturally whittle down the price of a teacher for their children (Charlotte Bronte for example, had to accept twenty pounds a year for her services as a governess). Being one of the first novels to address the hardships and indignities faced by governesses, Anne Bronte's book provided a valuable window into this world; and it did this so well in fact that one critic said of the author: "he must have bribed some governess very largely...to reveal to him the secrets of her prison house, or, he must have devoted extraordinary powers of observation and discovery to the elucidation of the subject."

In this critic's defense, Anne (along with her sisters) published their books under masculine pen names, but it is a testimony to her skill that the conditions of the governess were captured so vividly. Being a governess herself (with many similarities to her title character, as we shall see in a moment), Anne was in the prime position to `spill the beans' on the plight of the governess. By today's standards "Agnes Grey" provides a vivid and interesting history on this aspect of life in Bronte's time period, but it is more valued for its glimpses into the Bronte sisters' lives than its compelling story.

Agnes Grey is the story of a young heroine who - because of her family's financial struggles - advertises herself out as a governess. Stepping out into the world from a life surrounded by a loving family is trial enough, but Agnes is looking forward to achieving her independence and helping her family in its time of need. She is sadly disillusioned, as her new position in the Bloomfield household is not at all what she expected. The children are unruly and spoilt, the house servants are unfriendly and the master and the mistress hold Agnes responsible for their children's wild behaviour. Her second position is only moderately better; treated as little more than a servant; she is only gradually accepted by her two new charges: the flirtatious Rosalie and the tomboyish Matilda Murray. Her only spark of light is the sensible young curate Mr Weston, a man whom Rosalie is determined to add to her list of conquests before her upcoming marriage is made public...

The similarities between Agnes and Anne's lives are numerous: both are the youngest and adored little sisters of their families (and although all but one of Agnes's siblings are dead, six were born - the same as Anne's family), both had two positions as a governess at two different households and were unfairly dismissed for incompetence from the first one, both are the daughters of North England clergymen, and both are nineteen when they take up their first post. What makes Agnes especially unique in the large canon of literary governesses (of which she was one of the first), is that she is actively enthusiastic about going out into the world and earning money - a trait that is admittedly coupled with a real need to help her family, but one which is rare (most book-governesses are forced reluctantly into their positions). Agnes's situation as the adored little sister of the Grey family is akin to Anne's own place in her family (a position that scholars now believe Anne rebelled against), perhaps accounting for the unique characteristic of Agnes's initial desire to become as a governess - that she actively goes out in search of a job, rather than being helplessly driven to it solely by poverty.

There is nothing wrong with Bronte's writing technique - her language is crisp and concise, her heroine realistic and sympathetic, and her social commentary on the plight of the young unmarried Victorian woman's chances at a career is as thought-provoking as ever (though naturally a bit dated by today's standards). The problem lies with the story itself, which is somewhat uneventful. Bronte is particularly good in capturing the frustrations of being governess to a pack of ungrateful children; their naughty behaviour, their disinterestedness and the unfair treatment accorded to her by her employees, but ultimately nothing is done with it. Because it is predominantly an exposition on the requirements and hardships of governesses, we never really get any satisfactorily comeuppance to any of Agnes's pupils, save one, whose unhappy marriage is almost *too* tragic. Anne Bronte's novel is more didactic than that of her sisters', as Agnes is a paragon of virtue and patience in the face of ongoing frustration. Yes, her temper is worn at times, but she is remarkable in her ability to withhold her emotions and keep in place her calm exterior. Just once I would have liked one of the little brats to get slapped! Also, I don't think I'm alone in thinking that Agnes's romance with Mr Weston is a little flat - we never really get to know him very well, and Agnes's falling in love with him is as much a leap of faith on his perceived goodness then any real meeting of minds and hearts.

But "Agnes Grey" is certainly worth the read, for the historical insight as well as a comparative text for Anne Bronte's second novel, the much more rich and accomplished "The Tenant of Wildfell Hall."

The Tenant of Wildfell Hall (Oxford World's Classics)

A charming, simple tale of Victorian England.......2007-04-02

This was a simple, albeit enjoyable tale of Agnes Grey, a younger daughter who seeks her way in the world employed as a governess. I understand this tale is based upon Ms. Bronte's own experiences and brings to light the snobbery of the upper class along with the often degrading way that the servants are treated by the same.

The first family literally has the children from h***, the second family being not quite as abusive, but still treat the servants as second class people. The young Misses Murray are self centered and thoughtless, particularly the elder (who gets what she deserves in the end).

I have been reading a book called the Selected Works of the Bronte sisters, and it's been interesting to compare the sisters' writing styles. Anne's is much closer to Charlotte's, with the gorgeous flowing prose, but not quite so littered with the large words and the smattering of french.

Well worth your time checking out for a pleasant, short read.

Charming.......2007-03-26

A delightful little book waiting to be enjoyed by fans of the Bronte sisters' after they have read their more famous books. Not as sweeping a story as Tenant of Wildfell Hall but deserving in it's own right. Anne is a new discovery of mine and I like her just as well as Charlotte and Emily! Her style of writing draws you in. At the end of Agnes Grey, she writes that she could go on further but will end the story here. I found myself wishing she would go on further.

Insights into the Victorians.......2006-12-31

The youngest of the three literary Brontë sisters, Anne was the first to die, within only two years of the publication of Agnes Grey and one year of the publication of The Tenant of Wildfell Hall. In this edition, Angeline Goreau's introduction offers valuable insights into the relationships among the Brontë siblings, Anne's personality without the distortion of Charlotte's lens, and the conditions prevalent in Victorian England that inspired the writing of Agnes Grey.

For her first novel, Brontë chose to write about the social topic she knew best--life as an underpaid, unempowered, unappreciated governess. Her story, which begins, "All true histories contain instruction," closely parallels her own experience as governess to two families of overindulged, undisciplined, disrespectful children. She "candidly lay[s] before the public what I would not disclose to the most intimate friend."

At times, Agnes Grey is hard to read, not because of the Victorian language and conventions, but because Brontë's unadorned, dispassionate writing style coolly conveys the monstrosity and heartlessness of the children for whom she has responsibility without power and of their distantly doting parents. When the cruel, sadistic Tom Bloomfield, age 7, tries to torture and kill a nest of baby birds and Agnes intervenes, spoiling his "fun," his mother coldly tells her, "You seem to have forgotten that the creatures were all created for our convenience . . . I think a child's amusement is scarcely to be weighed against the welfare of a soulless brute." Through her portrayal of Tom, Brontë makes it clear who in her opinion is the "soulless brute" and how he came to become one. Meanwhile, Tom, his sister Mary Ann, and their parents foil Agnes's every attempt to perform her duties, including the teaching of morals.

Agnes's next family, the Murrays, are somewhat tolerably by comparison, although she is expected to, in her words, "study and strive to amuse and oblige, instruct, refine, and polish, with the least possible exertion on their part, and no exercise of authority on mine." In the Murray household, Agnes is subjected to a form of social snobbery and disdain from which her background, manners, and education do not exempt her. All that matters to the wealthy and privileged Murrays is that she is the hired help, to be controlled, ignored, bullied, or snubbed at their whim.

Agnes becomes a governess against her family's wishes so that she can help them out of their financial straits. When her illusions about molding the minds, hearts, and souls of her charges are taught away in chapters titled, "First Lessons in the Art of Instruction" and "A Few More Lessons," Agnes does not continue her ignominious career out of economic necessity; in fact, her family refuses to accept her financial assistance. She continues to work from a sense of pride; she does not want to admit to her family, and perhaps to herself, the personal and emotional cost of her own "instruction."

Given Brontë's purpose in writing Agnes Grey, there are some difficulties with the novel. First, Agnes's distress is primarily emotional, yet surely the masses of underpaid governesses suffered from poverty and from the hopelessness of escaping it. As Goreau notes, there were so many single women vying for governess positions that the employers could pay these vulnerable women next to nothing in wages, even taking deductions for laundry. Charlotte Brontë herself was paid 20 pounds per year at her final post, with 4 pounds deducted for washing. This deprivation, and the lifelong sense of despair that must have come with it, is not evident in Agnes Grey.

The novel also becomes sidetracked from its purpose when Agnes develops an interest in the new curate, Edward Weston. Toward the end, Agnes Grey is transformed from a novel about governesses and Victorian family life into a weak, undramatic love story that is too drawn out. The Anne Brontë who hid her feelings from the domineering Charlotte does not reveal them even through Agnes. While Charlotte's Jane Eyre and Emily's Wuthering Heights seethe with the drama and passion of unhealthy relationships, Agnes Grey plods through the development of an uninspired one.

The strength of Agnes Grey lies in its characterizations of Victorian country society and the people who inhabit it. Their materialism, which reaches its apex here in the unhappily married Rosalie Murray; their wanton wastefulness; their view of nature as subservient to the whims of man; and their hypocrisy and recasting of God into man's image are the easily recognized precursors to many 20th-century attitudes. Despite its faults and facile ending, Agnes Grey is a tiny but honest glimpse into the Victorian world that preceded ours. Angelina Goreau's informative introduction, with its generous helping of quotations, makes this edition especially worthwhile.

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Agnes Grey (Penguin Popular Classics)
Agnes Bronte
Manufacturer: Penguin Books
ProductGroup: Book
Binding: Paperback

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ASIN: 0140621083

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Agnes Grey (Thrift Edition)
Anne Bronte
Manufacturer: Dover Publications
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ASIN: 0486451216

Book Description

First published in a volume that also contained her sister's Wuthering Heights, Brontë's daring first novel was hailed as "the most perfect prose narrative in English literature" by famed Irish novelist George Moore. Originally quite scandalous and drawing from the author's own troubled life, this biting social commentary exposes the hardships of a governess's life.

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Agnes Grey
Anne Brontë
Manufacturer: Adamant Media Corporation
ProductGroup: Book
Binding: Paperback

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Agnes Grey
Anne Bronte
Manufacturer: The Folio Society
ProductGroup: Book
Binding: Hardcover

Agnes Grey (Barnes & Noble Classics Series) (Barnes & Noble Classics)

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Agnes Grey (Barnes & Noble Classics Series) (Barnes & Noble Classics)
Anne Bronte
Manufacturer: Barnes & Noble Classics
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The Tenant of Wildfell Hall (Oxford World's Classics)

ASIN: 1593083238

Book Description

Written when women—and workers generally—had few rights in England, Agnes Grey exposes the brutal inequities of the rigid class system in mid-nineteenth century Britain. Agnes comes from a respectable middle-class family, but their financial reverses have forced her to seek work as a governess. Pampered and protected at home, she is unprepared for the harsh reality of a governess’s life. At the Bloomfields and later the Murrays, she suffers under the snobbery and sadism of the selfish, self-indulgent upper-class adults and the shrieking insolence of their spoiled children. Worse, the unique social and economic position of a governess—“beneath” her employers but “above” their servants—condemns her to a life of loneliness.

Less celebrated than her older sisters Charlotte and Emily, Anne Bronte was also less interested in spinning wildly symbolic, romantic tales and more determined to draw realistic images of conditions in Victorian England that need changing. While Charlotte’s Jane Eyre features a governess who eventually and improbably marries her employer, Agnes Grey deals with the actual experiences of middle-class working women, experiences Anne had herself endured during her hateful tenure as a governess.

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Agnes Grey
Anne Bronte
Manufacturer: Oxford Univ Press
ProductGroup: Book
Binding: Hardcover

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Agnes Grey
Anne Bronte
Manufacturer: Paperbackshop.Co.UK Ltd - Echo Library
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ASIN: 1846371295

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Agnes Grey
Anne Bronte
Manufacturer: Book-of-the-month Club
ProductGroup: Book
Binding: Hardcover

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Agnes Grey

Manufacturer: Trident Press International
ProductGroup: Book
Binding: Paperback
ASIN: 1582791805

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