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Direct Methods in the Calculus of Var..."This book must be recommended both to beginners in variational calculus and to more confirmed specialists in regularity theory of elliptic problems. It will become a reference in the calculus of variations and it contains in one volume of a reasonable size a very clear presentation of deep results." Zentralblatt MATH "It can be recommended for graduate courses or post graduate courses in the calculus of variations, or as reference text." Studia
"This book must be recommended both to beginners in variational calculus and to more confirmed specialists in regularity theory of elliptic problems. It will become a reference in the calculus of variations and it contains in one volume of a reasonable size a very clear presentation of deep results."
Zentralblatt MATH
"It can be recommended for graduate courses or post-graduate courses in the calculus of variations, or as reference text."
Studia Universitatis Babes-Bolyai, Series Mathematica
"The exposition is always clear and self-contained ... therefore this book may serve well as a textbook for a graduate course on the subject. Each chapter is complemented with detailed historical notes and interesting results which may be difficult to find elsewhere."
Mathematical Reviews
This book provides a comprehensive discussion on the existence and regularity of minima of regular integrals in the calculus of variations and of solutions to elliptic partial differential equations and systems of the second order. While direct methods for the existence of solutions are well known and have been widely used in the last century, the regularity of the minima was always obtained by means of the Euler equation as a part of the general theory of partial differential equations. In this book, using the notion of the quasi-minimum introduced by Giaquinta and the author, the direct methods are extended to the regularity of the minima of functionals in the calculus of variations, and of solutions to partial differential equations. This unified treatment offers a substantial economy in the assumptions, and permits a deeper understanding of the nature of the regularity and singularities of the solutions. The book is essentially self-contained, and requires only a general knowledge of the elements of Lebesgue integration theory.
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4.0 ★★★★★
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★★★★★ 5
Quick delivery, Naturally a great and easy gift.
Denomination: 0, Design Name: You're the best. (Animated)
Always a great way to say thank you.
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Reviewed in the United States on June 6, 2026
★★★★★ 5
A Foundling's Felicity
This book or novel or whatever you may deem fit to call it has so many points in its favour that it's difficult to know where to begin. I think a rundown of a few of the myriad of characters that delight me personally might do for starters:
Tom Jones - A young fellow with many "imperfections" if so they may be called, but a robust fellow with a "good heart." Prudence and what is commonly called virtue are not his strong suit - But may I remind the reader that virtue comes from the Latin word for "manliness"- Tom is certainly possessed of the word's etymological origins, if not of its modern usage (particularly in amorous matters)--And a good thing too, or we should have no story here to delight us!
Squire Western- Another rambunctious character, who, for me, typifies all that is Eighteenth Century England. Every time he appeared in this book, whether it was to comment on wenching, wine, or riding to hounds a smirk would immediately cross my face followed invariably by chuckling by the end of the chapter.
Henry Fielding - The author plays as much a part of the book as any of the characters with many prologues and prefaces and etc. For these, and for much of the rest of the book, I might add, the reader who has not had four years of Latin inculcated into him at an English boarding school would do well to buy the Oxford edition, which fully explains all the learned quotes - Also, as one who was thus inculcated but is inclined to laziness, the Oxford edition's notes prove extremely helpful also. Fielding also gives us a lively picture of the literary life of his time, which the Oxford footnotes do a deft job of explaining- In short, buy the Oxford edition.
This review can not be comprehensive. There are simply too many characters to even make a go at encompassing them all. I'm merely describing some of the, to me, more delightful ones.
The book as a whole is simply a joy to read, in its comic descriptions of all who will deign to admit that they are human, and of some priggish sorts who will not so deign. I can put it no better than Fielding Himself at the beginning of Book XV:
"There are a set of religious, or rather moral writers, who teach that virtue is the certain road to happiness, and vice to misery, in this world. A very wholesome and comfortable doctrine, and to which we have but one objection, namely, that is not true."
In short, this is a delightful ramble of a book which, while entertaining the reader not too attached to Sunday School, sheds light on how unvirtuous the virtuous can be, and how kind and good-natured the roguish can be as well as giving us as good a history lesson on the state of affairs in Eighteenth century England (with attention given to the Jacobite Rebellion etc.) as many a "proper" history does.
Who, I ask myself, would not delight in this book? ---Well...for the priggish, there's always Jane Austen.
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Reviewed in the United States on January 24, 2007
★★★★★ 4
The Sidekick in Early-Modern Literature.
Tom Jones is probably the most influential novel in English history, pioneering elements like complex characterization, social criticism and authorial interjection. But you already knew that.
What you want to know is, is this a good book for us in the 21st century. And here, it's not so clear. The dialogue is pretty brisk, and some of the exchanges (the stereotypical Whig Mrs. Western arguing with her Jacobite brother is a particular treat) are actually funny. The latter part of the novel evolves into a farce, with a dozen characters engaged in scheming against one another, while Tom and Sophia helplessly go along. Farce works better in drama, where it has a faster pace, but it's always a welcome mode of comedy. You don't see enough farces.
Some of the characters are evocative (why do I picture Blifil as looking like Ted Cruz?) but some are not: Dowling is just a lawyer, and Mrs. Miller is a good woman, like thousands who have come since, and that's all there is to it. It's not as if every character needs to, or can, be a fully realized person, but the parts of the novel spent with these human plot devices do feel mechanical.
But Mr. Partridge, Tom's traveling companion, is in a different category altogether, and he just poisons the parts of the novel that he features in (chiefly the middle third). Eighteenth Century literature has a depressing reliance on goofy loose-lipped sidekicks: Mr. Partridge, Hugh Strap, Humphrey Clinker, Andrew Fairservice, Friday. Sometimes they're servants, but sometimes they're just stupid friends.
Part of this must be practical: It's difficult to follow a wandering hero (and why are the heroes of these novels always wandering? But that's a different question altogether) without giving him a friend to talk to. Maybe early novelists had a hard time sketching characters who didn't have a way to discuss the ongoing action.
But mostly, I think this is the bad influence of Don Quixote, which was becoming increasingly popular in England during this period. Sancho Panza is OK, and he's certainly the funniest element of that leaden tome. But Mr. Partridge *is* Sancho Panza, cowardice, superstition and all, and one Sancho Panza was more than enough. You know? There's a limited number of things that a silly, selfless, lazy pal can do, and it's hard to read about the same old doofus, yet again.
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Reviewed in the United States on April 28, 2016
★★★★★ 5
Delightful and entertaining
Format: Kindle
314. The History of Tom Jones: a foundling by Henry Fielding (Novel-Audible/E Book-Fiction) 5* I read along with the Audible of the novel which I found a highly delightful and entertaining experience.
The narrator, Bill Homewood, who performed the audio version of the work was excellent doing the various characters as well as the invisible narrator (author) of the story. The Synopsis is as follows:
A foundling of mysterious parentage brought up by Mr. Allworthy on his country estate, Tom Jones is deeply in love with the seemingly unattainable Sophia Western, the beautiful daughter of the neighboring squire—though he sometimes succumbs to the charms of the local girls. When Tom is banished to make his own fortune and Sophia follows him to London to escape an arranged marriage, the adventure begins. A vivid Hogarthian panorama of eighteenth-century life, spiced with danger and intrigue, bawdy exuberance and good-natured authorial interjections, Tom Jones is one of the greatest and most ambitious comic novels in English literature.
It is rather brilliant, and there is no lack of shenanigans as we follow Jones through his history and the reader never knows when and where the author will abruptly go off on a tangent, told in a most eloquent manner, end with a flourish and no doubt tossed his quill down and took a bow. I am either taken in by some farce or thoroughly enchanted by this author. As Fielding is rather the loquacious writer this read comes in Audible time at almost 38 hours or roughly 1,000 pages but worth every minute spent on it.
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Reviewed in the United States on December 19, 2017
★★★★★ 5
An epic nearly 300 years old
Tom Jones is the comical history of a young man who was adopted into a rich family and faces a brother who is against him all while they grow into maturity. It’s kind of like the first part of JoJo’s Bizarre Adventure except with Jonathan and Dio being reversed and with no vampires, but there is a moment where someone gets really scared while watching the ghost in hamlet so there’s at least some notion of the supernatural. Getting into it though, it’s an easy read despite it’s length encompassing 18 books, it’s honestly fascinating that it was able to be written so cleanly considering how many gaps there must of been between these books being written, it reads to us as a consistent narrative, but to imagine the wait and changing times that must have occurred during the duration to the story is really interesting to consider. The role and function of the narrator is probably the only real glimpse of this in narrative as he’s really just talking to us in the first chapter of every book, but the narrator being so clever and charming makes the only thing of interest be him and the relationship we form to him. It’s an incredible experience that I can recommend the entire story for alone. Getting to know the narrator is like talking to an old, reliable friend and it’s worth reading into nearly 300 years on.
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Reviewed in the United States on March 27, 2021
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