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Most of the book concentrates on real-valued functions of a single (real) variable. There is a gradual and careful development of the ideas, with helpful explanations of elementary matters that are often skipped in other books. For instance, prior to the chapter on limits of sequences, the book has a chapter on estimation and approximation, discussing algebraic laws governing inequalities, giving examples of how to use these laws, and developing techniques for bounding sequences and for approximating numbers. Proofs involving "epsilons" and "arbitrarily large n" make their first appearance here.
The overall presentation of the book is carefully thought out. Each chapter is broken up into small sections, and each section emphasizes one principle idea or theorem. The proofs of the main theorems are lovely, and give both intuitive explanations and rigorous details. Genuinely interesting examples and problems illuminate the key ideas. Each chapter contains a mix of problems: "questions" that help students test their grasp of the main points of each section, "exercises" that are intermediate in scope, and more difficult "problems". (A solutions manual is available for instructors from the publisher.)
The careful explanations, even of "elementary" matters, and two appendices on sets, numbers, logic, and methods of argumentation, make the book suitable for a first analysis course in which students have had no prior exposure to proofs. There is ample material for a one-semester, or in some cases a one-year, course.
In summary, I believe that this is the best introductory real analysis book on the market. Students and instructors alike will find it a joy to read.
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Sid Bernstein promoted the biggest stars in show biz to the heights of their careers. But is was Sid who put his own career on the line and brought the Beatles to America. Sid Bernstein changed the course of society!
An amazing story! "It's Sid Bernstein Calling!" is the book you should be reading right now!
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Of special merit, amongst his huge output, are the so-called Barsetshire ("clerical") novels, and the so-called Palliser ("political") novels. Of the former, the last and longest is "The Last Chronicle of Barset". Not only are there fresh concerns, complications and current affairs introduced here, but there are also fond and final appearances of people and places encountered in the earlier Barsetshire novels. Everybody's favourite literary virago, Mrs Proudie, is again denouncing and dominating everybody. Trollope even contrives to create a character who has the temerity to say to her, "Peace, Woman!"
There are the innumerable characters of marriageable age, whose names are perhaps more memorable than their characters, whose charming dialogues and relationship problems are deftly laid out and interwoven. Above all, there is master story-teller Anthony Trollope, admitting finally that for him Barset has been a real place, a place where he as been induced to wander too long by his "love of old friendships, and by the sweetness of old faces".
Superb TV and radio adaptations of Trollope's Barsetshire novels have appeared in recent years. His novels read aloud well, too, and audio cassette readings, some of them unabridged, can provide endless hours of rich listening pleasure.
This novel is also one of the darkest that Trollope wrote. The moral dilemma in which Crawley finds himself would seem to belong more readily to the world of Dostoevsky than Victorian England.
Can this novel be read on its own, without reading the novels that precede it? Yes, but I do feel that it is best read after working through the other books in the series first. This is hardly an unfortunate situation, since all the books in the series are superb (with the exception of the first novel, THE WARDEN, which, while nice, is merely a prelude to the far superior five novels that came after it). Many of the characters in THE LAST CHRONICLE appeared first as characters in the other novels, and the central character of the book, Crawley, himself appeared earlier.
Trollope is...one of the most entertaining writers the English language has produced. At this point I have read around 20 of his novels, and fully intend to read more. But of all his books, this one might be his finest. The only two that I feel are close to the same level are his incredible books THE WAY WE LIVE NOW and HE KNEW HE WAS RIGHT (possibly the finest work on excessive jealousy since OTHELLO). Anyone who loves the English novel owes it to him or herself to read as many of these volumes as possible. My recommendation would be to read first the six novels in the Barsetshire Chronicles, and then to move on to the other two novels I mentioned. If still hooked, then try his other major series of novels, variously known as the Political novels or the Palliser novels or the Parliamentary novels, which begin with CAN YOU FORGIVE HER?
"The Last Chronicle of Barset" is surely one of the most successful and satisfying of the whole Barset and Palliser series, illustrating perhaps better than any of the former Trollope's admirable gift for creating multi-dimensional characters that are as recognizable to us today as they were in his time.
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"There is an openness in this teaching to an authentic universalism that is rare in Jewish sources. All the tongues of humanity praise G*d, each in their own distinctive way but as part of the universal chorus. The Moses who "created openings, gates of Torah" in all the places and tongues of the world is not like the religiously imperialistic missionary who translates his own Bible into all the languages and thus rejoices at the spread of G*d's word. Here the "openings" have to come from within those languages and the cultures that are an inseparable part of them. If we understand that there is really but one G*d and listen to the prophet who says: "Everywhere incense and sacrifice are offered to My name" (Mal. 1:11), we will begin to understand our task as participants in and listeners to the truly universal human chorus."
The Gerer rebbe points out the real Torah was the innermost utterance of Hashem which created the universe. Everything in the universe is manifestation of Hashem. Even the Hebrew Torah itself is a "clothing" on top of the original Torah - a kind of translation, if you will.
One can only marvel at the succinct style and unique vision of this great spiritual master. While studying the Sefat Emet, I am struck by the spiritual poverty of this generations Torah leaders.
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It's also entertaining to read about my favorite celebrities and how actively involved they are in protecting our four-legged friends! Many of these big names share heartwarming, personal experiences with us, as well as adorable photos from their private albums.
This book is an absolute "must-have" for anyone having a special place in their heart for animals!
Bennett has facts and data EVERYONE can use. There's info on where to stay when travelling with your pets, charities that aren't charitable to animals, how students can refuse to dissect animals in school, what to do about unwelcome wildlife "guests" in your home, and so much more. I could go on and on. I can't say enough good about this book. This one is terrific!