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"Vertigo" begins with an historical figure, in this case Marie Henri Beyle, better known to literary history as Stendhal. In the opening section ("Beyle, or Love is a Madness Most Discreet"), our third person narrator relates certain of the amorous adventures of Beyle during his travels in Italy, beginning with his first arrival in that country at the age of seventeen as a soldier in Napoleon's army. The year is 1800 and the historical record is drawn from Beyle's own notes of his experience, written more than three decades later at the age of 53. As if foreshadowing the vertiginous unreliability of the narrative to follow, the narrator (Sebald?) relates as follows: "The notes in which the 53-year-old Beyle, writing during a sojourn at Civitavecchia, attempted to relive the tribulations of those days afford eloquent proof of the various difficulties entailed in the act of recollection."
The third person narrative shifts, in the second section, to a first person relation of travels in Austria and Italy by our narrator beginning in the year 1980. It is an unreliable narrative, confounding dream and reality, past and present, in a text that seems to have a mysterious, underlying hermeticism. Thus, while aimlessly wandering the dark streets of Vienna, the narrator often thought he saw someone he knew walking ahead of me. "On one occasion, in Gonzagagasse, I even thought I recognized the poet Dante, banished from his hometown on pain of being burned at the stake." Similarly, in the dark, misty, maze-like streets of Venice, "there sat, and in fact very nearly lay, a man in a worn green loden coat whom I immediately recognized as King Ludwig II of Bavaria."
In a remarkable, resonant passage that writes another layer on the palimpsest of literary renderings of Venice, Sebald writes: "As you enter into the heart of that city, you cannot tell what you will see next or indeed who will see you the very next moment. Scarcely has someone made an appearance than he has quit the stage by another exit. These brief exhibitions are of an almost theatrical obscenity and at the same time have an air of conspiracy about them, into which one is drawn against one's will. If you walk behind someone in a deserted alleyway, you have only to quicken your step slightly to instill a little fear into the person you are following. And equally, you can feel like a quarry yourself. Confusion and ice-cold terror alternate."
In Venice, too, the narrator muses on the dark history of the Doge's Palace, reflecting, in particular on the early nineteenth century writings of the German Franz Grillparzer and on one of the victims of the harsh justice carried out in that palace, Giacomo Casanova. Grillparzer, a lawyer, ponders that "the resolutions passed here by the Council of State must be mysterious, immutable and harsh." It is a thought that brings to mind Kafka's "The Trial", among other things, and it is not surprising that, in the next breath, the reader learns that Casanova's memoir of his imprisonment in the Doge's Palace was first published in, of all places, Prague.
From here, the narrative shifts once again to the third person, this time in a section entitled "Dr. K Takes the Waters at Riva." It is, again, a purportedly historical narrative of Franz Kafka's trip in 1913 from Prague to Vienna and then on to Italy, where he visits Venice, Verona and Riva, a city on the shores of Lake Garda. Kafka's journeys mirror those of the narrator in the second section of the book and the dreamlike repetitions, doublings, doppelgangers which re-occur throughout "Vertigo" provide a deeply entwined narrative for the careful reader. Thus, in a passage that, in some sense, is a trope for the entire text, Kafka stands on the porch of the Pellegrini Chapel in Verona, a place where the narrator himself related he had stood in 1980 in the previous section of the book: "When Doctor K. stood in the porch once again, on the threshold between the dark interior and the brightness outside, he felt for a moment as if the selfsame church were replicated before him, its entrance fitting directly with that of the church he had just left, a mirroring effect he was familiar with from his dreams, in which everything was forever splitting and multiplying, over and again, in the most terrifying manner."
From Kafka's 1913 experiences, the final section of Vertigo relates the narrator's return in November, 1987, to his childhood home in the Tyrol. It is the most introspective and personal section of "Vertigo," but still remains tied to the text that has gone before, resonating with themes, enigmas and uncertainties that make "Vertigo" a puzzle-palace of literary and historical renderings.
I could say much more about "Vertigo," tie many more passages and themes together, make a plethora of textual allusions and connections. This would do nothing more, however, than demonstrate the richness of Sebald's imagination, the density of his writing, the dream-like dislocations and uncertainties of his original and unclassifiable literary enterprise. If you read no other book this year, read "Vertigo" or "The Emigrants" or "The Rings of Saturn"; just be sure to read at least one of W. G. Sebald's books because you will not be disappointed.
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Unfortunately I bought the book with the intention of using it as a reference for implementing such features as CSG and kinematics. The book itself is not a particularly good text on the subjects, partly due to the weak English used, and partly due to the majority of the book being devoted to describing the use of the library. The two subjects I was looking for were among the better described in the book.
If you're looking for a completely written "bookware" geometry library you'll probably be completely happy. However, be aware the if you're looking to implement the effects described yourself, the best way to learn is by reading the source (which there is plenty of).
There are plenty of good graphics programming sites with better explanations than here on the web for free. However there are few libraries as complete. The book's price is also reasonable, considering the ammount charged by some bookware authors.
WARNING: The authors started programming the library in PASCAL. They used the p2c translator to create the C code for some 'older' parts of the code. Also the older parts are written in GERMAN. This is what I find the only flaw in this book, because it makes it harder to read it in some cases.
I'm looking forward to version 2.0 of this book which is probably released somewhere in spring 2001.
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I think it's safe to say that an actual live demonstration of yoga, along with instructions tailored to you personally will always be preferable to an 'instruction manual', but as far as books go, I've yet to see a better guide.
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Anyways, Patanjali's aphorisms are worth the time in any form and I shall thank any author who spent his time to bring them to more of us, different introductions will appeal to different people.
It was okay, I guess.
So what happened? Well, frankly, although the biographical information on Georg Cantor and Kurt Goedel is pretty good and the mathematical history is reliable, there's no real meat in the discussions of either infinity or the Kabbalah. Every time I thought Aczel was really going to get rolling and make a profound connection, he sort of petered out and changed the subject.
It's too bad, because Aczel really does have an important point lurking in here: the mathematics of infinity really does provide a window into the Ein Sof, and there probably is a connection (both historical and deeper) between the Kabbalistic and the Cantorian uses of the Hebrew letter alef. I'd have enjoyed some more thorough exposition, even at an elementary level, of both sides of this equation.
But for that, the reader will have to look (for infinity) to Rudy Rucker's _Infinity and the Mind_ or (slightly more elementary) Eli Maor's _To Infinity and Beyond_, or (for the rest) to any of numerous sources on Kabbalah. This book is only about a quarter-inch deep.
On the plus side, though, I will say that this isn't a bad book for somebody who has never encountered the subject(s) before. Just don't expect a lot of specificity; Aczel usually doesn't offer much more than vague allusions.