Euler's Gem

Apr. 4th, 2009 08:28 pm
stoutfellow: My summer look (Summer)
Euler's Gem, by David S. Richeson, is itself a gem, easily the most interesting piece of nonfiction I've read this year. It centers itself on a famous equation discovered by Leonhard Euler, but reaches back to the Pythagorean era and forward to the early twentieth century in tracing out its genealogy. Though there is a fair amount of mathematics (most of it accessible even to the mathematical dilettante), Richeson's primary interest is in the history of the idea, which intertwines fascinatingly with any number of major strands of mathematical thought.

The gem of the title is this. Consider a polyhedron: a tetrahedron, a cube, a pyramid, name your favorite. Count the number of vertices (V), of edges (E), and of faces (F). You'll find that the following formula holds: V - E + F = 2. (For the cube, for example, there are 8 vertices, 12 edges, and 6 faces; 8 - 12 + 6 = 2.)

The story of this equation roams in time from ancient Greece to the early twentieth century, and touches upon many important areas of mathematics: we visit the bridges of Königsberg, explore the four-color map theorem, and link Euler's result to subjects ranging from spherical trigonometry through differential geometry (my beloved Gauss-Bonnet theorem puts in an appearance) and knot theory to, ultimately, twentieth-century algebraic topology. (Euler would not recognize it, perhaps, but the core ideas of this recondite field rest squarely in his work, and specifically this equation.) Mathematicians from ancient Greece to modern-day Russia appear - the famous (Archimedes, Gauss, Poincaré), the obscure (Thomas Harriot, Simon Lhuilier, Johann Listing), and the simply odd (Charles Dodgson, AKA Lewis Carroll). It's a fascinating and mind-expanding history, showing the interconnections between seemingly disparate areas and the erratic way in which concepts develop. (The stories of the concepts "polyhedron" and "edge" are particularly interesting.) If you have any interest in the history of ideas, especially mathematical ideas, this is an excellent book.
stoutfellow: (Winter)
I first became aware of Sophie B. Hawkins after hearing her sing "As I Lay Me Down". I enjoyed the song enough to take a chance on buying her Whaler album, and after that Wilderness as well. I'll discuss those albums in some detail under the cut.

Split Decision )

Codex Alera

Nov. 2nd, 2008 08:22 pm
stoutfellow: (Ben)
I'm currently reading Jim Butcher's Cursor's Fury, the third book in the Codex Alera series. (The first two are Furies of Calderon and Academ's Fury.) I've been meaning to talk about the books for a while, but something just struck me, prompting me to write.

The series is fantasy, set in a quasi-Roman society. There are hints that this is not an accident, that the Alerans are, in fact, descended from Romans transplanted to another world. Many of the structures of that society are familiar on that basis: the organization of the army, some of the governmental structures, and so forth. There are differences as well: some parts of Aleran territory are rather thinly settled, and society there is structured like a cross between the old American frontier and early feudalism. More to the point, the Alerans are not the only inhabitants of the land. There are at least three other races, all more or less hostile to them - although something of a rapprochement with the nomadic Marat seems to be developing.

Again - this is a fantasy, after all - there is magic. Specifically, the world is alive with elemental spirits, called "furies", which can be persuaded, coerced, or even befriended. Everyone has some talent for this; the most powerful are likely to rise high in the military or the government. There are furies corresponding to fire, earth, air and water, of course, and also to metal and wood. (There may be others; those are the types which have been mentioned.) They offer more than the obvious abilities; water furies, for instance, have healing talents. The result is an intricate and well-balanced magic system.

Everyone has some talent - except one of the central characters, Tavi. He has no furycraft, and must get by purely on wits and physical skill. Wits he has, in abundance; physical skill, he acquires as the series progresses. He comes to the notice of the Aleran ruler early on, and demonstrates his worth repeatedly. To be honest, he reminds me of Miles Vorkosigan. He doesn't have Miles' specific debilities, nor his specific advantages, but he has enough of each on his own, and there is something Miles-ish about his style.

I don't want to make too much of this. Butcher isn't even close to Bujold in wordcraft. (Sometimes his word choices make me wince.) Still, it's an entertaining series. If you've read any of Butcher's Harry Dresden books, you know his authorial style, and the general tone - dark, shot with a bit of humor, and full of those who will not quit, no matter how beat up they are or how long the odds.

[Thanks, again, to [livejournal.com profile] kattsune, who introduced me to the series.]
stoutfellow: My summer look (Summer)
I recently finished reading Geoffrey Nunberg's Going Nucular. Nunberg is a regular at Language Log; the book is a collection of short essays on "language, politics, and culture in confrontational times", as the subtitle puts it. Some of them are rather dry, but many raise unexpected insights and some of them sparkle.

The general topic is not words themselves, but the ways in which they are used, and the way these change. The change in the connotations of the word "plastic"; the misunderstandings between the West and the Islamic world over the meanings of the words "crusade" and "jihad"; the curious inversion whereby it became possible to speak of a "pro-government protest"; the peculiar freight belonging to the word "Gallic"; these are among the things Nunberg discusses. He talks about the connotations of the word "face" (as in "save" or "lose"); about the words we use in discussing matters of race; and about the words "liberal" and "leftist", and the strange relationship between them in USAn political discourse. He points out the fact that the phrase "on the up and up" has two different meanings, and that most people use it with one and are completely unaware of the other. He complains about those who complain about language (and, so often, know next to nothing about the subject) - and then complains about language himself, though with a gently self-mocking tone. He discusses the disappearance of line drawings and photographs from dictionaries (and oh, I do remember the glorious prints in my family's old two(massive)volume dictionary!), and drily comments (of the word "lucubration") that "[w]hen William F. Buckley, Norman Mailer, and the editors of the New York Review of Books have all lost their grip on the meaning of a word, maybe we should think about putting it out to pasture". He defends the word "ain't", sketches the nature and origins of the pronunciation "nucular", and complains about songs whose titles are adverbs in "-ly", and generally has a grand time of things.

A good book; not all that weighty, in the sum of things, but a fun read for lovers of words.
stoutfellow: (Ben)
I'm only about halfway through Bethine Church's A Lifelong Affair, but I'm already prepared to recommend it.

Bethine Church is the widow of Idaho Senator Frank Church. She came from a political family herself - her father and uncle each served a term as Governor of Idaho - and played a major role in her husband's career. (He used to joke that Idaho had three Senators, Bethine being the third.) A Lifelong Affair is her autobiography, and she comes across as feisty and funny - quite a bit like Molly Ivins, in the gusto with which she lived and writes. She drove like a maniac - her father once advised her never to lose momentum, and she took it to heart, in driving and in life - and wasn't shy about defending her family, verbally or physically. (On one occasion, when journalist Rowland Evans spoke dismissively of Frank Church's role in passing a civil rights bill, she says she had to fight hard against the temptation to push him into the pool. Instead, she verbally lambasted him, earning his enmity for the rest of her husband's career. She shows no particular regret for this.)

If you're interested in the politics of the Senate between 1956 and 1980 or in the reminiscences of a shrewd and vibrant Idahoan woman, or if you just want something to partly fill the gap Molly Ivins' death left, I think you'll like this book.
stoutfellow: (Winter)
To clarify, if it's necessary, these are the books that I read for the first time in 2007 that I enjoyed the most, or got the most out of. I don't think any of them were actually published in '07.

The List )

Asante

Nov. 9th, 2007 12:43 pm
stoutfellow: (Winter)
I just finished my hundredth book of the year, Robert Edgerton's The Fall of the Asante Empire. It's an interesting book, but it wasn't quite what I was hoping for. The Asante have interested me for a while now; some time back, I read something which suggested that, had they evaded British conquest, the Asante empire might have had a good shot at modernizing, a la Meiji Japan. There are obvious differences between the two empires, such as the degree of literacy, but still, it makes for an interesting what-if.

Unfortunately, Edgerton's book is primarily concerned with the military aspects of nineteenth-century Asante history, and what I'd really like to get is economic and cultural information. There is some of that here, but it serves only to tantalize. I'll have to browse the bibliography to see if there's anything there which would fill the bill better.

Edgerton's account of the wars between Britain and the Asante is, as I said, interesting; at the beginning of the 1800s, the two armies fought at near-parity, and even in the final battles, late in the century, the Asante had opportunities to seriously damage the British forces. (Given that the British were also heavily embroiled in South Africa and in China, this might have been enough to dissuade them from continuing the fight.) He mentions, more or less in passing, the slow disintegration of the Asante polity over this time period, but doesn't give enough detail about the causes of that disintegration - unless it is to be attributed entirely to repeated defeats by the British and economic strangulation by their (British-supported) Fante rivals.

I want to know more.
stoutfellow: My summer look (Summer)
In a previous post, after a Vernor Vinge marathon, I described a recurring theme in his work, involving betrayal, deception, and subversion. I've recently read two more of his novels, the early work Tatja Grimm's World and this year's Hugo winner, Rainbow's End, and I can say that the same themes recur in both of those, although to a lesser extent in the earlier novel.

It occurs to me now that one way of looking at Vinge's stories is as suspensers, more specifically stories of espionage. I'm not that familiar with the genre - I've read some of Helen MacInnes' Cold War novels and a couple of early works by Tom Clancy - but the focus on plotting (in the nonliterary sense) seems to be a central element. Is it coincidence that so many figures in Vinge's novels are in government, and specifically in the security services - the military, the police, intelligence? The drawing of... call them civilians... into the struggle, the choices they face, and the sometimes crucial role they play in the denouement is another common plot element. Now, Vinge is less Manichaean than MacInnes or Clancy; the plots in his stories are more complex, and people on both (or all) sides engage in them; and, of course, there is always the strong sfnal element; but I think it would be fair to trace at least part of his literary ancestry to that genre.

It was reading Rainbow's End that led me to this conclusion; this novel is, among other things, quite clearly a suspenser, and good of its type. The setting is on Earth, some twenty years from now, and the Singularity is clearly on its way. With the increase in power available to each individual, there is a serious and rising risk of racial extinction, and several of the characters (including the chief villain) are engaged in efforts to head off that possibility. The "civilians" I alluded to above include several schoolchildren (in their late teens) and a number of older people who have not been able to keep pace with accelerating change. (One of them, at least, has the excuse of being a recovering Alzheimer's patient.)

How does it compare with Vinge's earlier works? Well, I didn't find it as entertaining as A Fire Upon the Deep or A Deepness in the Sky. Granted, I have a taste for space opera, but I think there's more to my reaction than that. One of Vinge's strengths is his ability to evoke sensawunda - of current authors I'm familiar with, only Greg Bear is his superior in that area - and Rainbow's End doesn't quite achieve that. (YGBM is a disturbing threat, but scarcely a new idea; Poul Anderson used it to great effect in the short story "I Tell You, It's True", some thirty years ago.) Beyond that, the story isn't as intricate as in the earlier novels; it's fairly clear, relatively early, what the main players are doing, and Vinge springs no great surprises.

I'm not saying Rainbow's End isn't a good story. It is; Vinge still spins an entertaining yarn, and manages to give a great deal of detail without over-obvious infodumps. (He also mocks himself rather adroitly at one point.) I'm also not saying it didn't deserve the Hugo; I haven't read any of the other nominees, so I'm in no position to comment on that. It's just that... it's a good, satisfying read, but I was expecting more from him.

H. G. Wells

Sep. 2nd, 2007 06:53 pm
stoutfellow: My summer look (Summer)
During [livejournal.com profile] mbernardi's visit last month, we stopped in at Piece of Mind, a little bookstore about half a mile from my home, which I had never before been to. Among the books I picked up there was a copy of H. G. Wells' The Invisible Man. I finished reading it a day or two ago, and that prompts me to put down a few thoughts about Wells.

HGW and Me )
stoutfellow: My summer look (Summer)
Peter Spufford's Power and Profit: The Merchant in Medieval Europe is not an easy read. It's pretty hefty, for one thing - more than 400 quarto pages, not counting endmatter. It's also rather dense. My first attempt to read it foundered somewhere in the first chapter, after which I set it aside for a year or so. But if you're interested in how things work in human society, and how modern Europe began to come to be, reading this book is rewarding. Details under the cut.

Medieval Commerce )

The book is, as I say, very dense, and the details can be overwhelming, but overall I found it very much worth reading.
stoutfellow: (Ben)
The Welsh folksinger Mary Hopkin isn't well-remembered in the States any more, I think. (I didn't know her name myself until a few years ago; the memory of one of her hits and the help of a British LMB listie led me to her.) She had only two hits Stateside, both in the late '60s, though she was more successful in the UK. What I know of her comes largely from her Those Were the Days album, and I'll discuss some of the tracks from that album under the cut.

Mary Hopkin )
stoutfellow: My summer look (Summer)
Nicholas Ostler's Empires of the Word is rather different from other books of linguistics that I've read. Make no mistake, it is a book of linguistics; though Ostler rarely dips into the technical jargon of the field, he does not hesitate to do so when appropriate. But Ostler approaches the field in a rather new way. (He is not alone in this approach; he mentions, in the text and the bibliography, several other authors following the same track. But it was new to me.)

Imperial Languages )

Oddments

Aug. 11th, 2007 07:24 pm
stoutfellow: My summer look (Summer)
Some - many? - years ago, I joined a book club called the Library of Science. Its offerings were what the name suggests, and over time I have purchased quite a number of books from them. Not too many years ago, the club was purchased by Scientific American, and renamed the Scientific American Book Club. In my judgment, the club (like the magazine it is now named for) has deteriorated, and I am no longer inclined to remain with it. However....

Like many such clubs, SABC offers Bonus Points; every purchase of a book at regular club price earns points, which may be used to buy further books at a lower price. Needless to say, I've piled up a lot of Bonus Points, and my personal ideal of thrift demands that I use them. So, for the past while, every time the catalog has arrived I've leafed through it, looking for something to expend Bonus Points on. These are, almost by definition, impulse buys; I've obtained a number of books that I wouldn't have looked for but whose descriptions looked interesting.

One of these, and the real topic of this post, is Evolution of Fossil Ecosystems, by Paul Selden and John Nudds, which I review under the cut.

Snapshots )
stoutfellow: My summer look (Summer)
I've said on several occasions that I regard Queen of Angels as Greg Bear's masterpiece. I'd like to put some flesh on that opinion, under the cut. I'll try to avoid serious spoilers.

Blessed are the single-hearted )

Legacy

Jul. 12th, 2007 07:16 pm
stoutfellow: (Murphy)
A few days ago, my copy of Lois McMaster Bujold's The Sharing Knife: Legacy arrived, and naturally enough I devoured it quickly. My initial reaction is one of provisional disappointment. I liked the story well enough, but it did not enthrall me as many of her previous books have; I felt no urge to immediately reread the book as I did with Mirror Dance, with Memory, with A Civil Campaign and The Curse of Chalion. My disappointment is only provisional, however. The book is, after all, the second of a projected four, and though it is intended to form a whole with the previous volume, still, there is enough up in the air that my opinion may be changed retroactively. More, including spoilers, under the jump.

Legacy )
stoutfellow: My summer look (Summer)
Christopher Frayling's Mad, Bad and Dangerous?: The Scientist and the Cinema is an exploration of the presentation of scientists in the movies; it's fairly interesting, if for no other reason than the categorization of types and the connections between them. More under the cut.

Mwahaha! )
stoutfellow: (Murphy)
I've finished reading the Theodore Sturgeon anthology The Ultimate Egoist and, sad to say, my overall reaction is "meh". There are a few jewels in the set, but most of the collection is forgettable.

In one sense, this is unsurprising. These are stories from the very beginning of Sturgeon's career. Some of them were never previously published, but were found among Sturgeon's effects after his death, and - for the most part - that they were not published is unsurprising.

It took Sturgeon quite a while to discover his gift for science fiction and fantasy. Most of the stories in this collection are mainstream: there are love stories, mostly insipid ("Permit Me My Gesture" is, perhaps, an exception), and a number of tales derived from Sturgeon's experience as a merchant seaman. Some of the latter are entertaining, such as "Mailed Through a Porthole", but still, there's not a lot there.

Even among the F/SF stories, some are duds. "Ether Breather" and its sequel "Butyl and the Breather" are intended to be humorous, but the humor is, well, sitcommy. (This isn't unusual in the SF of the thirties, in my experience, but that doesn't really make it more interesting.) The best stories in the collection are more in the direction of horror: "Bianca's Hands", "He Shuttles", "It" - the last being the progenitor of DC Comics' "Swamp Thing" series, but, to my eyes, quite a bit more disturbing. The title story, unfortunately, was a disappointment, if only because I've seen the gimmick too often. Solipsism taken seriously may have been daring and original when Sturgeon wrote the story, but not today.

Oh, well. I am a completist, after all, which justifies purchasing this book, but I'll be expecting more from the next volume. At least it'll include "Microcosmic God".

Oh, yes: there are three forewords, written by Ray Bradbury, Arthur Clarke, and Gene Wolfe. They're better than many of the stories...

Addendum: Huh. Putting the book away, I noticed the other Sturgeon anthology I own, The Golden Helix. I took it down and looked at the table of contents; there, right in the middle, was "The Ultimate Egoist".

I guess "forgettable" was the right word.
stoutfellow: Joker (Default)
Sylvie and Bruno is Lewis Carroll's longest work; it was originally published in two parts, each of which is roughly as long as the Alice books combined. It's an odd book, a melange of disparate and, sad to say, discordant elements. There is Carrollian whimsy, complete with fairies, two über-cute children, a couple of absurd Professors, silly songs and talking animals. There are political machinations, discourses on science and mathematics, meditations on Christianity, a touch of satire, a light romance and a large dollop of melodrama.

Unfortunately, it's not a very good book. There's a reason why it's less well known than the Alice books or "The Hunting of the Snark": it simply doesn't hold together well. The whimsy never reaches the level of the Alice books; the depiction of the children is infected with the Victorian propensity for child-worship; the shifts between Fairy-Land and 19th century England are disconcerting; and the resolution is an over-hasty attempt to make everything Come Out Right.

Still, I don't regret taking the time and effort to read it. Embedded in the dross are lumps of gold, or at least high-grade copper ore. In addition to the discussion of free fall I quoted earlier, there is an impromptu demonstration of the properties of the Möbius strip and the Klein bottle. There is a brief meditation on the shortcomings of punctuation and the uses of white space. Some of the philosophical passages are thought-provoking (though some are simply sophomoric), and the silly songs are, if not on a par with, say, "The Walrus and the Carpenter", entertaining enough. The discussion of dinner-table conversation, and the techniques adopted in Mein Herr's homeland to encourage it, is hilarious.

I think the best I can say, in rating Sylvie and Bruno, is to call it an interesting failure.
stoutfellow: Joker (Default)
One of the local stations is showing episodes of Farscape on Sundays. Today, they showed the episode "The Ugly Truth", which was Farscape's Rashomon episode: Talyn destroys a Plokavian vessel and then skedaddles, leaving most of Moya's crew holding the bag when more Plokavians show up. Various crewmembers are interrogated about the events on Talyn just prior to the attack. It's not one of the better episodes, but there's a plot point which interests me: I think the writers may have made a strategic error in one of their choices. To spare non-'Scapers, the discussion is under the cut.

To Be Or Not To Be )
stoutfellow: (Ben)
As far as content goes, the songs of the Guess Who are unremarkable. (When they try for significance - "Guns, Guns, Guns" - they generally achieve pretension, and lose their actual merits.) As far as I can make out, in "No Sugar Tonight" the singer is upset because the girl he likes, and who likes him, won't break up with her jock boyfriend. This is not exactly the stuff of tragedy. Still, I enjoy the song a great deal; I think it's my favorite song from the "Greatest Hits" album I bought back in January.

I've mentioned before that, listening to some Spanish-language singers (notably Shakira), I simply treat the singer's voice as a musical instrument, paying little attention to the meanings of the words. (The fact that my Spanish is too rusty to follow fast-paced lyrics makes this easier...) Something like that applies to this song as well. There is a passage towards the end of the song in which the voices of the two singers separate in an interesting way. The lead singer stays within a narrow melodic range, and his words are heavily and regularly stressed; the second voice soars and circles around the lead, with greater melodic range but less variation in stress. The best way I can describe it is to say that it's the vocal equivalent of, say, a drum-and-sax duet, and, so interpreted, it's quite enjoyable to listen to:
Lonely feeling
Jock says yes and I believe him
Deep inside
When we talk about the things I say
Find a corner
She hasn't got the faith or the guts to leave him
Where I can hide
When they're standing in each other's way
Silent footsteps
You're driven back now to places you've been to
Crowding me
You wonder what you're gonna find
Sudden darkness
You know you've been wrong and it won't be long
But I can see
Before you leave 'em all far behind
(The second voice is italicized.)

Similar comments apply to quite a few of GW's songs: "Hand Me Down World", "No Time", "Share the Land", "These Eyes", "Laughing"... "Star Baby" and "Follow Your Daughter Home" are also fun, but rather disturbing when you think about them. ("Star Baby" is about a celebrity, and sounds rather stalkerish; "Follow Your Daughter Home" takes the form of advice to a father and seems to be satiric, but attitudes have changed enough that it could be half-serious...)

I can enjoy a song, or an album, for its form (if the content isn't completely dull) or for its content (if the form is adequate); the best music scores well on both counts. (Some groups, like Wilson Phillips, score badly on both counts, and Michael Bolton's inability to do anything but wail poisons everything he touches.) This album falls into the first category; not great, but generally enjoyable listening.

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