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Book Review: The Manga Guide to Linear Algebra
Vectors, matrices, and eigenvalues, oh my! The Manga Guide series’ triumphant return to the fertile and abstract realms of mathematics is, to this reader, most welcome and not a little overdue. This is not to say that previous forays into the physical-, life-, and computer sciences were at all unsuccessful. But even on their worst day, these real-world subjects are not nearly so difficult to penetrate as, say, set theory or integral calculus. And this is coming from a card-carrying math geek.
The wonderful and beautiful thing about this series is in its ability to come at complex and foreign topics from a sideways angle. I’m still amazed at the unusual points of reference the book authors find to bring the reader into some notoriously difficult topics – explaining onto and one-to-one functions in terms of restaurant orders, for example. The highly visual nature of the comic medium also serves as an anchor in what might otherwise be a text-heavy topic.
The manga scenario wrapped around all this math draws on a number of classic tropes, and not only from the realm of manga. Reiji is working hard as the newest student in his university karate club, a membership he paid for by agreeing to tutour his sensei’s sister in linear algebra. He’s the proverbial 98-pound weakling with a good heart, and it’s as good a reason as any to have two young people flirt and talk about matrix multiplication.
Of eight chapters, the first six are laid out as groundwork before the “real” linear algebra topics in the last two. The fundamentals in chapter two include reiviews of (or introductions to) set theory, some basic mathematical logic, and functional relationships. Following this are two chapters covering matrices, and two more on vectors (in a matrix interpretation). Only then are we able to tackle the true topics of the book title, linear transformations, eigenvectors, and eigenvalues.
It may sound like a hodgepodge, but it’s not. Each chapter builds carefully on the previous one. No calculus and only some basic algebra, trigonometry, and co-ordinate geometry are needed before reading this book. But the topics are tough for a newbie. This is university-level mathematics and requires a lot of practice problems before it will sink in for most readers.
The example problems in the text are great, but there are only a few. As with all books in the series, The Manga Guide to Linear Algebra is best utilized in conjunction with a thick textbook, chock-full of additional practice exercises. Much like earning a black belt, the road to mathematical mastery requires many hours of practice and perhaps more than a few forehead smacks on nearby slabs of wood.
(No Starch Press, 2012)
Reprinted with permission from The Sleeping Hedgehog
Copyright (2012) The Sleeping Hedgehog
Tuesday Links (07/31/12)
Five Men Agree To Stand Directly Under An Exploding Nuclear Bomb: “Watching this film, there are many things to wonder (and worry) about, but one of the stranger moments is how the bomb bursts in complete silence. We see a sudden white flash. It makes the soldiers flinch. Then there’s a pause, a pregnant quiet that lasts for a beat, then another and then — there’s a roar.”
Batman: Plutocrat: “Superman (for example) fights intergalactic dictators, evil monopolists, angry generals, and dark gods, i.e. symbols of abusive authority. Batman fights psychotics, anarchists, mob bosses, the mentally ill, and environmentalists, i.e. those who would overthrow the status quo. Superman fights those who would impose their version of order on the world. Batman fights those who would unbalance the order Batman himself imposes on Gotham.”
Dinosaur Comics Presents McDonald’s Presents the Olympic Games: “Perhaps you’ve forgotten Coca-Cola, THE OFFICIAL SUGARED AND COLOURED BEVERAGE OF MCDONALD’S PRESENTS THE OLYMPIC GAMES?? You want a sculpted gold-medal body? Have you tried exercising? Sure, maybe. But have you tried CHUGGING A COKE?”
Tuesday Links (07/17/12)
Drunk History Volume Six: Tesla versus Edison, as explained by a drunk historian.
Pipe Dreams: Coolest instrument ever.
Happy Birthday Harrison Ford: Can you guess how old he is?
Tuesday Links (06/05/12)
Genre in the Mainstream: The New Yorker’s Science Fiction Issue: “In the end, when Eustace Tilley holds up his monocle to a rocketship, the analysis is awesome, readable, and makes you feel smarter. But Eustace Tilley can sadly, not build a convincing rocketship.”
A tale of openness and secrecy: The Philadelphia Story: “Attempting to control the spread of nuclear weapons by controlling scientific information would be fruitless. . . . Because they had not been part of the Manhattan Project in any way, they were under no legal obligation to maintain secrecy; they were simply informed private citizens. In the fall of 1945, they tried to figure out the technical details behind the bomb.”
Tuesday Links (05/29/12)
Why Nikola Tesla was the greatest geek who ever lived: An Oatmeal comic.
Nikola Tesla Wasn’t God and Thomas Edison Wasn’t the Devil: The Forbes response.
I wrote a response to the Forbes article about my Tesla comic: The response to the response.
Could a Rendezvous with Rama Movie Capture the Wonder of the Book?: A comic critique.
Tuesday Links (05/08/12)
The Only Thing That Can Stop This Asteroid is Your Liberal Arts Degree: “I don’t need some pencilneck with four Ph.D’s, one-thousand hours of simulator time, and the ability to operate a robot crane in low-Earth orbit. I need someone with four years of broad-but-humanities-focused studies, three subsequent years in temp jobs, and the ability to reason across multiple areas of study.”
The Most Astounding Fact: By Neil Degrasse Tyson, poet of the stars, with illustrations.
The Most Dangerous Gamer: But is it art? The perennial gaming debate.
Care2 Blog Weekly Roundup (04/21/12)
Earth Month:
Care2 Blog Weekly Roundup (04/14/12)
Book Review: Physics of the Future
Michio Kaku is a physicist and science popularizer, taking a page each from the books of Neil DeGrasse Tyson and fellow string theorist, Brian Greene. He’s written several popular science books on the wacky and wonderful words of relativity, quantum mechanics, and string theory. His last book, however, Physics of the Impossible, was a departure from branes and n-dimensional space. He used fictional technologies like teleportation, time travel, and Star Trek’s phasers as jumping off points for the known physics of today.
That book turned into a Science Channel program of the same name, and the approach was successful enough that he’s done something similar this time around. In Physics of the Future, however, there is a clear, unifying theme. Though he still offers somewhat of a grab bag of physics, drawing on all different areas based on what’s interesting right now, it’s all geared towards answering one question: what are the next hundred years going to look like?
Kaku looks at basically every technology or technological field that is a) integral to our lives, and b) likely to undergo serious changes in the next few generations. There’s a chapter on the future of computing, a separate one on artificial intelligence, nanotechnology, medicine, energy, and space travel. Each chapter has an introduction, a vision of the near future (until 2030), mid-century (2030-2070), and the far future (2070-2100).
The last two chapters, the future of wealth and the future of humanity, are less about any specific technology than the specific changes to our economic, social, and legal systems as a result of these technological changes. The end of wealth, for example, is about our transition to a more and more information-based economy throughout the world, and how we will need a new economic system with the end of scarcity (though he points out certain things will remain scarce, primarily knowledge workers whose labour can’t be automated).
The text is very readable, any number of sections could be essentially lifted from the book and used as feature articles in Popular Science or Discover. For all I know, selected excerpts have indeed seen magazine stands. Kaku is careful not to get bogged down too much in the science behind these technologies. The book’s audience are technology geeks, futurists — most of us, in fact, of the digital age. It’s for the curious layperson, not just the educated layperson. No physics education required
Speaking as someone who has some education in physics, this is nevertheless refreshing. Kaku could have screwed things up by doing too much — trying to give a detailed grounding in the physics when the book is really about how the technology will affect our lives. Having spoken to three hundred scientists at the leading edge of their fields, I’ve no doubt he took enough notes for a dozen technical volumes. But he resists the temptation to ramble, considering societal consequences in broad strokes while avoiding technical trivia.
And that’s the beauty of this book. It’s deep in insights but not bogged down in details. The result is a fast read that you’ll continue thinking about long after you’ve finished the book. Time will tell which predictions hit the mark. But it gives all of us something to look forward to, whether we expect to experience Kaku’s epilogic “day in the life in 2100” or not.
Reprinted with permission from The Sleeping Hedgehog
Copyright (2012) The Sleeping Hedgehog