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The book is split into two main parts: the first consists of short (but detailed) overviews of the various sub-disciplines of analysis from which results are required to develop later results, and the second part is devoted to developing the theories of the various kinds of special functions. The sheer breadth of topics and material that this book covers is utterly incredible. The major topics covered in the first part of the book are convergence theorems, integration-related theories, series expansions of functions and differential/integral equation theories, each of which are split into two or three chapters. The reader is assumed to be familiar with some of the subjects here and these chapters are intended more as a review, but they are still quite self-contained and will also appeal to those who have not encountered the subjects yet. (I am only 16 and know no more than ODEs and a little real analysis, but I learned some material from this)
The second section, which is really the heart of the book, starts off with a detailed treatment of the fundamental gamma and related functions, followed by a chapter on the famous zeta function and its unusual properties. The book then covers the hypergeometric functions - the focus is on the 1F1 and 2F1 types, being ODE solutions - which are perhaps the cornerstone of this field, followed the special cases of Bessel and Legendre functions. There are a number of ways of developing and teaching the ideas regarding these functions; this book mainly uses the differential equation approach, starting by defining these functions as solutions to ODEs and going from there. There is also a chapter on physics applications (using these functions to solve physics equations), which is sure to please the more applied math readers. The next three chapters are devoted to elliptic functions, covering the theta, Jacobi and Weierstrass types. (one chapter on each) The two remaining chapters are on Mathieu functions and ellipsoidal harmonic functions. Along the way, some additional functions are also sometimes mentioned in the problem sets. (barnes G, appell, and a few others) About the only room for improvement here would be some analyses of named integrals (EI, fresnel, etc.) and inverse functions (lambert W log, inverse elliptics, etc.), and perhaps more on multivariable hypergeometrics, but these things are not a big deal considering how much else appears in here, and I have not really seen any book out there that covers these anyway.
Each chapter has several subsections, usually one on each major theorem or property of the function in question, and these consist of the main discussion and proof, a few corollaries, and a couple of exercises that illustrate the usage of the theorem. At the end of the chapter, some more sets of problems are given; these mostly consist of proving identities and formulas involving the functions, so answers are not needed, but it would be nice if there was a showed-work solutions book available for students. The problems themselves are very well designed and some really require the use of novel methods of proof to obtain the result. The language is a bit in the older style with some unconventional spelling and usage, but it does not detract from the subject material at all (actually, I personally liked this form of writing), and the price is about right.
The only real complaint I have with this book has nothing to do with its content; it is the printing quality. The text font is simply too small in a number of places and also sometimes looks "washed out;" while it is still readable, such a classic gem as this definitely deserves a better effort on the publisher's part. (one of CUP's other works on the same subject, Special Functions by Andrews et al, has much better printing, although is not as good as this in other respects)
For those interested in the field of special functions and looking for something to start off with, A Course of Modern Analysis would be, hands down, my first recommendation. You cannot really do much better than this.
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Polar Dream, the story of her solo walk to the magnetic North Pole with her Inuit dog Charlie is invigorating, with a down to earth humble look at life.
Charlie is loyaly devoted to Helen and saves her life from a polar bear. Polar Dream has been available for ten years. The first edition was excellent and the second edtion is even better with many more photos. I bought 14 books in English, 4 books in German, and one in Dutch for Christmas presents and all recipients are inspired and can't wait for Thayer's next book.
The fast moving, highly descriptive story is sentitive and not afraid to expose vulnerable inner thoughts and feelings.
This is a great book for men and women as proven by my Christmas gift list.
And kudos to wonderful Charlie, Helen's devoted dog-assitant and life saver on the journey.
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Warmly recommended.
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Edmund Wilson has suffered the same fate as the book, which is equally as curious. Of course, he was not as notorious as literary figure as one of his 20th century colleagues, H.L Mencken, who is still largely in print and in vogue, but Wilson so towers over all of his contemporaries that it is indeed mysterious that he has fallen into relative obscurity both as a writer and as a critic, as well. Yet Wilson was truly a renaissance figure, a gifted and talented poet, playwright, novelist, historian, and critical reviewer for a variety of magazines and periodicals such as the New Yorker, Vanity Fair, and The New Republic, a man able to articulate his position with regard to a plethora of social and political issues with great power and verve.
Yet it was in tomes such as this that he achieved his greatest powers of exposition, in this penetrating, quite detailed, and absorbing review of all the chief philosophical, political, social and economic elements of the chief architects of the Soviet revolution. Wilson had been a great student and admirer of the collected works of Karl Marx, and brought his immense intellectual and reporting skills to bear in describing the men, the ideas, and the issues of the so-called October revolution of 1918. It is the single best source of information regarding all of the various components of the massively important revolutionary process, neatly synthesizing the ways in which the various personalities, political circumstances, philosophical predispositions, and historical happenstance combined in the moist unlikely of revolutions in what Karl Marx considered one of the least likely of states, one so rural, so backward, and so vastly composed of uneducated ragged proletariat.
And in this stunning exploration we find new reason to understand and appreciate the power of individual personalities in the historical process, and the way that exceptional figures like Lenin, Trotsky, and Stalin, and the ways in which various aspects of Marxist theory were used and abused in promulgating what would become Soviet socialism's dogmatic approach to creating a worker's paradise. As we thread our way through the particulars of Marxian theory Wilson is so intricately familiar with, we begin to understand his fascination with both Marx's genius and the subtleties of Marx's exposition. Too many of us forget how bastardized and vulgarized the versions of Marxism promulgated by Stalin were, and how much they worked against the inexorable truths Marx found ticking away in the universal time-clock he saw operating behind history's time.
So, too, is Wilson's examination of Lenin a wondrous thing to read through, with his thoughtful if perhaps too sympathetic explanations of Lenin's goals, motives, and frustrations in trying to set the revolution on course and on-mark with the needs of the modern socialist state he envisioned to grow from the original seizure of power. Unfortunately, he never lived to see the radical experiment through to its fruition, nor the fateful poisoning of the spirit of the revolution accomplished by Stalin in his paranoid and sociopathic manipulations and purges. This is an absolutely magnetic reading experience, one that will illustrate just how powerfully and how memorably a writer with extraordinary gifts and an incredible intellectual acumen can be. I highly recommend this book for anyone aspiring to a serious education about the events of the 20th century, of which the Soviet revolution of October 1918 is certainly an extraordinarily important part. Enjoy!
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Anyone who wants to know what it means to be a writer should read this book, regardless of his or her interest in the subject. As night follows from day, those who are interested should read it, as well. It is a perfect illustration for one who believes that how a story is told is ever as important as the story, itself, and who wants to study an example where both are exceptional.
The content will prove valuable to anyone concerned with modern world history.
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In 1987 Edmund White began what became a six-year study of Genet's life and works. The result of that work is this book, Genet, a shining and enduring biography that shares much in common with Starkie's excellent biography of Rimbaud and Ellman's Oscar Wilde.
White read Genet's Our Lady of the Flowers for the first time in 1964. He responded to Genet's "deeper, more extravagant prose," and, in doing so, he experienced a self-liberation as the gay world was presented without apology or explanation and gay men were afforded the experience of seeing their world, not as tacky but as glamorous and poetic. In addition, Genet's affectionate rendering of drag queens helped to elevate their view in the eyes of all.
White, who had tested HIV-positive in 1985, was grateful for the chance to work on the biography as it also afforded him the opportunity to reflect on his own homosexuality, art and literature in a world not yet affected by the AIDS virus, for Genet had inhabited a world and culture prior to the outbreak of AIDS.
In this sensitive biography, White takes us on a journey through the French welfare and prison systems; high society led by Cocteau; café society led by Sartre; and revolutionary movements as well.
In Genet: A Biography, White shows us that Genet's work, like Genet, himself, is a terrain of contradictions, and he spells out both the kindnesses and the cruelty with sincere and translucent clarity.
Genet began life in 1911 as a ward of the state. Raised as an outcast, by a young age he was attempting to come to terms with his sensitive and convulsive nature. At the age of thirteen he began lying and stealing; by fourteen, he was branded a thief, something he accepted with arrogance rather than shame. At fifteen, he was arrested and led, in handcuffs, into the Penitentiary Colony of Mettray.
At Mettray, he worked in the fields and performed naval drills on landlocked ships. By night, however, the prisoners lived by their own code. The handsome, sadistic heterosexual was king, and someone, like Genet, passive and adoring, not only served, but blossomed as a princess and a scribe.
As brutal as life was for Genet in Mettray, he cherished his time there, for he experienced many awakenings within its walls. The time in Mettray also afforded Genet a chance to look inward. What he saw caused him tremendous anguish, for he had to face the realization that he did, indeed, possess all the evil that others had attributed to him. His suffering, however, only made him strong.
Destitute, but free at nineteen, Genet began a decade of wandering through Europe and Africa, passing from one prison to another for one petty crime or another. In 1939, in a prison cell in Fresnes, Genet began his masterpiece, Our Lady of the Flowers. Figuratively, he wrote in martyr's blood, for the book represented a reopening of all his adolescent wounds.
As Genet wrote of his early loves in his cell at Mattray, modern literature found society's most marginal men portrayed, for the first time, without shame or remorse. White clearly points out that Genet never used his writing as a political or psychological forum, yet his books sparked furious debates over censorship in the courts of Europe. What Genet did do was open the door for future writers and, most importantly, confer dignity and understanding on society's least understood and most estranged.
Genet had not set out to do so, but he had created a kind of miracle. Social change began to take place, and the president of France, at Sartre's urging, pardoned Genet of all his crimes. However, as White theorizes, this pardon also stripped Genet of his sacred individuality, his uniqueness, and he fell into a deep depression and ceased all writing.
A relationship with the sculptor, Alberto Giacometti, however, conferred on Genet new meaning and purpose and he said, "every man is every other man, as am I."
Resuming his life as a vagabond, Genet discovered untapped inner resources and a wealth of creative ideas. His importance as a poet emerged.
Genet's last years were filled with suffering, when, addicted to drugs and suffering from cancer, he dedicated himself to the plight of the Palestinians; rootless warriors lacking a champion, much like himself. His final work, Prisoner of Love, is dedicated to these people and to life, itself, and the power of the creative imagination. This was Genet's final miracle: the realization that we are all holy, that we all contain, both the whole and the part, of the divine.
Genet died at the age of seventy-five, on 15 April 1986 in a hotel room in the thirteenth arrondissement of Paris. He is buried in Larache, Morocco and his grave bears only two sun-washed, sparkling white stones. Although Genet's body may lie beneath the Moroccan sand, his spirit still soars, crowned with the blood of his youth and the thorn-studded roses of old age.
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Now there is a 2nd edition! This new and extended edition contains extra chapters about Geoff's amazing cataract surgery projects in the Himalayas and Karakoram.
Also there are new chapters about guiding &, other climbers: George Lowe & Rob Slater (in addition to the part about Lou Reichardt) and some older chapters are updated.
Geoff shows that a life of adventure can be combined with doing great things for others. His cataract project has changed many thousands of people's lives, as they turned from being completely blind to seeing for a few dollars worth of materials and strong determination of Geoff and a few others.
It's hard to say what the biggest adventure is: climbing the east face of Everest or being bitten by a rat while operating in Pakistan without lights, but one thing is sure: "it just doesn't get any better than this".
"Dayenu" & "Kay guarnay" are 2 themes in this book written by an eloquent and smart pragmatic man. Just read it and find out what it means... then head off to your next adventure; who knows, it might just make the world a better place to live in...
But the best thing about this book is that it's available again as it is not to be missed by anyone who has ever felt even the tiniest spark of adventure in his or her brain. Now in paperback, cheaper than ever, but richer than ever as well.
ps: it's 235 pages (not 304 as [stated by Amazon.com]);
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This book has taught me that there is a community of interfaith families out there - and that many, many people make interfaith families work (really well!)
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Assigning a single rating to any book, let alone this one, is an exercise in frustration. Does one go with thematic-informational integration (5 stars), wealth of detail (5 stars), reference potential (5 stars), breadth of scope (4 stars), level of readability (4 stars), or documentation of facts (3 stars, maybe 4)? Or does one consider prose style (2 stars or at best a "C" for "clear"), conciseness, particularly in setting forth the unifying thesis (2), or usefulness as a reference as derived from the quality of the index (sorry, Amazon's system doesn't provide for minus grades)? Or does one demonstrate one of the author's points about egalitarianism by assigning an average (3.6 points), thereby slighting a valuable and frequently fascinating book?
Mr. Contoski has achieved an admirable synthesis from myriad historical and economic facts and observations, adding up to both a moral and a practical affirmation of individual freedom as the source of progress in all its aspects, spiritual, intellectual, and economic. Readers of Ayn Rand will quickly recognize the theme of the mind as the "mover" in human advances. Indeed, the statement of the author's overall theme could be described as "Galt's Speech"-- and indeed, his own "Manifesto of Infividualism" -with supportive facts and without the poetry, but also without Rand's unfortunate shrill moralizing and didacticism. (That being the case, I would have liked to see Rand given a bit of credit in the text.) Without the poetry, however, the thematic statement is very tough going indeed-first because this section is so repetitious and second because Mr. Contoski, obviously by choice, excludes my half of the audience by persistent use of "man" and "men" when in 99.44 percent of the cases "humans" or "people" would serve more accurately and grate less on the millennium-tuned ear. I confess I made it through the theory eventually by reading only the topic sentence of each paragraph.
But sticking with it pays off bigtime. Most of the book-and certainly the most riveting part--is devoted to a once-through-each-type-of-purpose-defeating interventionism from currency manipulation through environmental regulation through education in a staggering demonstration of its counterproductivity in every guise and every sense of the word. Here are facts in profusion. One could wish that more statements had been documented with footnotes (though many have been), and that more had been obtained from primary sources. But as an act of synthesis, "Makers and Takers" is a marvel in its marshalling of the facts that support its thesis. Many of these facts are little known. For example, that private industry spends more annually on training and education than the entire U.S. budget for same--$240 billion versus $210. Or that rain is more acid over the ocean and some uninhabited places. Or that only one kind of asbestos is dangerous. Or the original intent and design of the Electoral College. Or ... If only the index permitted my re-finding more examples in the time I can allot to writing this review.
Lillian R. Rodberg Emmaus, PA lrodberg@hotmail.com
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This is the book that Bjorn Lomberg needs to read to understand why the statistics he understands so well, support a wholly different world view than he still clings to.
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There are an astounding number of facts on health, the environment, industry, education, economics and practically everything classical liberals and libertarians need to refute arguments for increased government control over every aspect of our lives.
In spite of the huge amount of information, it's exceptionally well-organized, and it's also fun reading, with "Ahaas!" on every page. I couldn't put it down. In fact, some of the descriptions of government bungling, unintended consequences and dirty dealing are entertaining enough to make you laugh (or cry) depending on your mood.
I'm going to try again to order several copies for Christmas presents, because I have a few friends who have been seduced by the dark side who could be saved by this book, and a few friends who already "get it" who could use the ammo.