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This book is a collection of many mathematical discoveries that have occurred down through the centuries. Some have significant applications, but most would be excellent fits within the definition of recreational mathematics. Topics such as patterns in numbers, mathematical games and mathematics for enjoyment are covered. Problems for examination and clarification are interspersed throughout the chapters with solutions at the end of the chapter. It is an ideal book for those who are interested in mathematics as a subject to explore for the purity of expression. As is pointed out in the text, there is a finality found in mathematics that exists nowhere else. Once something is proven and the proof is completely verified, the theorem is then an absolute truth. The level of difficulty is such that a solid background in algebra is the only requirement for understanding what is being described.
While the level of student performance in mathematics at all levels is often depressing, it is gratifying to see so many popular mathematics books being published. It is clear that there is a solid market for such material, which uplifts the spirits of all who appreciate the beauty and power of math. Reading this book will help place you in that category if you are not already a member.
Published in Journal of Recreational Mathematics, reprinted with permission.
The book is a very detailed and deep look at all branches of mathematics, and a very good look at many different curiosities and bewilderments. D.G. Wells starts with a brief look at triangles, numbers, and patterns and goes on to talk about the enjoyment of mathematics and certainty and proof. In between, he ventures into the world of mathematical games, the most famous of which is Conway's Game of Life. He also talks of modeling the universe, or at least certain aspects of it, using mathematics - and using mathematics to search for the truth. He concludes with a "mathematical adventure," where you, the reader, travels through a series of linked frames exploring a certain mathematical curiousity.
I recommend this book for teenagers developing an interest in mathematics, but also for those who think that mathematics can't be interesting, and even for math teachers - so that they can take a look at their work and all its wonderful applications.
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For those familiar with CBW, the story about dangling a deception such as Nerve Agent GJ, is intreging. GJ is not chemically identified, but presented as a protential Nerve Agent that would have required considerable efforts in binary weapons technology to ever be of any use. The author contends that this deception might have inadvertently lead the Soviets to create their Novichok class of agents. The discussion of GJ leads one to suspect it was a relative of the GV-series, such as Nerve Agent GP (GP11, or GV).
In the context of GJ, the author reveals that there were actually many more agents than just the familiar GA, GB, GD, GE, and GF. There G-series actually went all the way down to GH (isopentyl sarin). The treatment of Nerve Agents is conversational, and suits the purpose of his book.
David Wise made many interviews and performed as an investigative journalist to deliver a story that up to now has not been told. It does reveal the cultures of the people of the time, and is suggestive of many areas of future historic investigation.
The details of surveillance and spycraft are fascinating because they are so mundane but in their context seem so strange. This story demonstrates so many of the critical factors in running a counter intelligence operation: the importance of selecting the right agent (in this case Joe Cassidy), the necessity of patience and letting some things slip away in order to keep after the big thing, the chess like thinking of move and countermove in planning operations, the never-quite-sure aspects of whom to trust and what is real or what is a plant, and the role of just plain dumb luck. It isn't like Hollywood, but in many ways is more strange than a movie. If you tried to put some of this stuff in a movie people would complain that it was too far fetched. Yet this is all real.
The book also has some rather chilling information on Nerve Agents, which was the whole point of this many year effort by the FBI and other government agencies. It also has a lot of fascinating information on the devices of spy tradecraft including hollow rocks, rollover cameras, dead drops, micro dots, secret writing, and more.
Because the book is so well written it is a rather easy read. This is a real achievement because of the complexity of the story, but David Wise has long experience as a skilled reporter and writer about intelligence work and knows how to tell these tales. I recommend this book to everyone because it is just plain interesting, because I believe we should keep the reality and sacrifices of the Cold War in our collective memory, and because real people paid with their lives for our security.
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P> But like Tad Szulc's "To Kill the Pope," this volume has not answered many of the questions surrounding Opus Dei and Hanssen's affiliation with that flagellic cult. Thus if one follows the money paid Hanssen, one finds that it leads directly to Opus Dei coffers, e.g. tuition payments of Hanssen's children to attend the Opus Dei schools, Oakcrest for his girls, and the Heights for the boys. It is illustrative that this Catholic convert was told by his confessor to turn over his early Soviet payments to Mother Theresa, of Christopher Hitchens' "The Missionary Position" repute. The Nobel Prize winning nun also had Charles Keating and Baby Doc as sources of funds. Hanssen's wife agreed that this was an appropriate penance for his sins of expionage on behalf of "godless" Communism.
Opus Dei's prelature even stepped in to urge Hanssen's wife not to make no statements about her husband since that might delay its founder's elevation to sainthood by John Paul II.
Louis Freeh, head of the FBI was a fellow parishioner of Hanssen's which may explain why other FBI Opus Dei acolytes were hesitant to pursue a member of Opus Dei Study Center or Catholic Information Center, which was staffed by an Opus Dei priest, Rev. C. John Mc Closkey, and located a short distance from the J. Edgar Hoover headquarters. Other fellow parishioners were Justices Scalia and Thomas.
So yet another paradox needs to be added to Joan Estruch's "Saints & Schemers: Opus Dei and its Paradoxes" to join Jack Dunn's "The Vatican Boys: A Novel about Church Corruption."
A.M.D.G.
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As long as the book focuses on long-term research and trends, it is on solid ground. But the authors are quick to move into conjecture, based on no proof. That is where you are in danger with this book.
The section on short-selling is particularly naive. It makes it sound like you can always cover a short with only a 20 percent loss. Not!
The small cap investing advice is good up to a point. The authors totally ignore research that shows vastly better returns from small-cap growth stock investing at times when small-cap growth stocks are cheapest relative to the p/e ratios of the large cap stocks.
On the dividend-based Dow investing, the authors miss the most important point. Each of the techniques for buying "the dogs of the Dow" has quickly become obsolete in the past. Back testing provides great historical returns, and lousy future returns in this area.
On the most important point, how to use on-line investing to be more successful, the book is almost totally silent.
This book gives the impression to me of being written by inexperienced people who do not have the background to understand what they are thinking about. Through the index fund discussion, though, this is an outstanding and accurate book. It just dives off the deep end without enough swimming lessons in the other areas.
In an overpriced market like the current one, following the Motley Fool theories could make a fool out of you. If you want to try this Motley Fool approach, my advice would be to limit yourself to 10% of your stock investing. With experience, the Motley Fool approach will undoubtedly improve. Remember that fewer than 1 in 10 new techniques for investing work well thruogh an entire market cycle, which is another reason why mutual fund managers have problems.
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This *may* be the first significant book written about the major changes the Internet is (and will be) causing among the important minority of people who constitute The Wired World. It's not a business book (though aspiring entrepreneurs would learn some valuable lessons from it), nor is it a "how to" guide. The work is philosophical, sociological, but fun accessible to any reader that has interacted with other people or companies on the web or in a newsgroup. Weinberger's language tends to be simple, and sometimes colorful (e.g., "Knowledge started out fat and chewy", before launching into descriptions of opinions on knowledge from the Bible and Heraclitus).
I don't agree with the author on all his conclusions. And I'm not sure that readers who are widely-read on the social effects of computer networking will not know already many of his explanations.
But there's more valuable, insightful thinking in the first chapter of this book than in any other half-dozen Internet books you could name. If you're interested in how the Internet is changing our institutions and our way of relating to each other, and in what directions this might lead in the future should consider this lively and fun book.
When I started reading Small Pieces, my first thought was "Nice speculation, but how do you know the first-person web is the best web?" Then it hit me: This is not a prescription for how we *should* do Internet, it's a detailed survey of the who, how and why of those who do. David challenges the pundits and frustrates the gurus of web design, but to dismiss him is to discount the grammar of a civil defense warning: Like it or not, Small Pieces is how it is in the online world.
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Brown's charming tale is greatly bolstered by the color-saturated illustrations of David Diaz. These have a lovely, soft 1930s look that reminds me very much of the illustrations in the original Raggedy Ann and Andy books. I especially like the way Diaz pulls back his perspective on the last page so that you really see why the little scarecrow boy feels, happily, that all is right with the world.
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