The Semicircle Law, Free Random Variables, and Entropy (Mathematical Surveys and Monographs)

Book Description

The book treats free probability theory, which has been extensively developed since the early eighties. The emphasis is put on entropy and the random matrix model approach. It is a unique presentation demonstrating the extensive interrelation between the topics. Wigner's theorem and its broad generalizations, such as asymptotic freeness of independent matrices, are explained in detail. Consistent throughout is the parallelism between the normal and semicircle laws. The authors present Voiculescu's multivariate free entropy theory with full proofs and extend the results to unitary operators. Some applications to operator algebras are also given.

Book Description

Examines partitions and covers of graphs and digraphs, latin squares, pairwise balanced designs with prescribed block sizes, ranks and permanents, extremal graph theory, Hadamard matrices and graph factorizations. This book is designed to be of interest to applied mathematicians, computer scientists and communications researchers.

Book Description

Recorded history is a finely-woven magic fabric of intricate lies about events predating the sixteenth century. There is not a single piece of evidence that can be reliably and independently traced back earlier than the eleventh century. This book details events that are substantiated by hard facts and logic, and validated by new astronomical research and statistical analysis of ancient sources.

Customer Reviews:

Calculations are only as good as your numbers.......2007-08-03

Yes, we can all agree that mainstream history is nearly 100% BS due to politics, economics, ego, problems with dating techniques, and various conspiracies. Agreed. But, I've been researching the distinct possibility that human history (in terms of civilizations) are much more ancient than we've been told, so coming across this book was very interesting to me. I wondered how Fomenko could be wrong (if at all) because he is very persuasive in his presentations. Then it dawned on me. If at previous times in prehistory, due to the various catastrophies that are well documented (comets, asteroids, planetary disruptions, plasma discharge, pole reversals, etc) the Earth was in a different position in relation to the sun, different tilt on its axis, different orbit, different rotation (in terms of velocity and DIRECTION), and the continents were in different positions, then would this not cause the ancients to see the sky (constellations) differently? In other words, is Fomenko making erronious assumptions about the physics of the Earth in pre-history, which then corrupt his data with regards to dating the relevant astrology? The last event to seriously disrupt our planet occured roughly 3500 years ago, according to other good researchers, so is it possible Fomenko has been confused by this? The vastly different physics of our planet in the not so distant past may explain this confusion, which is not to say the "mainstream" version of history is correct; on the contrary. I am not an expert in these fields, but wanted to see if this idea could spark discussion.

Pants on fire?.......2007-07-19

Will people ever read before spamming? Yes, Jesuits could not rewrite world history alone, they had help. Anyway, Dr Prof Acad A.Fomenko does not point to jesuits as the driving force of world wide history manipulation in published volumes 1,2,3;, actually he barely mentions the poor devils. Check it with 'Search inside' feature, please. China is rarely mentioned either, in fact, Dr Fomenko is completely eurocentric. Right, his theory contradicts all mainstream schools of history, because in their actual state they are all built on blatantly erroneus chronology. You don't need a mysterious cabal (conspiracy) to falsify history, the falsification is its modus operandi. It is inherent to history(ians) to falsify (distort) events, as it is inherent to humans to boast as it is inherent to power (authority) to legimize itself by referrring to glorious past made to its own order. Dr Prof Fomenko and team have identified scores of instances of such manipulation in Russian, European, etc.. history, and delivered valid statistical proof thereof. His own 'reconstruction' is completely another story. Forget c14 as a valid method of dating. W.Libby has initially discovered a brilliant method of INDEPENDENT dating. Too bad, c14 method has become a joke after a forced marrige with dendrochronology with consensual chronological scale inbuilt. Radiocarbon method can't stand blind tests, but is so very productive as a rubberstamp.

Accepted History & Chronology Must Be Changed. .......2007-04-09

There is no doubt that history as most know it is a sham, & institution's version of History both University & Church is fradulent & inaccurate. Everything was established with an agenda, The real "Dark Ages" are now when we have access to incredible amounts of information past authorities & more important 'common folk' didn't have but our institutions & educators are slow to evolve because of what has ignorantly & arrogantly been taught for too long. This is on many subjects not just Chronology.

For anyone to question "Why would a Mathematician have anything credible to say of History?" The answer is from Dr. Fomenko's preface in the book: "It would be worthwhile to remind the reader that in the XVI-XVII century Chronology was considered to be a subdivision of Mathematics." These volumes could possibly be some of the most important works to date & should be read by everyone with an interest in History, especially professors & educators who have a duty to the public. I have read both books & must say that 'Chronology 1' has some very eye opening & revolutionary information. Even if these volumes are part true the implications are profound & opens the doors to further investigations & questions which must be done. I speak several different lanquages & must say the logic Dr. Fomenko uses with "inflection" of words & words being read from left to right in one region & right to left in another then written backwards, the removal of vowels & get down to basics of words, or different cities & locations having the same name etc. is correct. Vowel usage has always been optional & varied, actually complicating linquistics & study. The first thing one has to understand is that words never had a fixed spelling in history like we do now, the spelling of words was mutable & regional, as well as names & titles of people were vast, varied & changed, NOTHING WAS FIXED or understood linear. Matters of Life & Death as well as financial profiteering yesterday & today were & are made with ignorant, illogical & conspiratorial views of history & reality, it's time people get closer to the Truth & society collectively grow up.

Very Interesting.......2007-03-07

It is a good proposal and I believe it will mature into something even better in the future. I think it deserves to be read.

History as Science Fiction.......2007-01-10

Anatoly Fomenko has written a very intriguing book, full of pictures, charts, and computer 'proof' of his thesis: backwards of AD900 we don't really know what happened or when. Between AD900 and AD1600 there is more certainty, but there is still a lot of fuzzy ground, and things don't get reliable until we get past the 1600's where the printing press made it very difficult for the perpetrators of this timeline manipulation to change anything that had been committed to print. The Dark Ages did not happen. Books were burned for a reason. One organization has doubled the actual length of its existence by expanding the real chronology. Read why.

I had always wondered why Christ died about AD33 and yet men waited until the 11th century to form the Knights Templar, the Cathars, etc and go after the Holy Land by force. Why the 1000 year gap? Turns out there wasn't more than a 10-12 year gap and he proves it using astronomy. This also implies that the planet is not as old as we have been told, and current Christian and other creationist scientists are already championing that idea without being aware of Fomenko's book. The two groups, creationist scientists and the Russian mathematical analysts corroborate each other. Fascinating.

Of course, all this flies in the face of what we have been told traditionally is the 'proper' chronology of western civilization, and most readers will experience 'cognitive dissonance' in reading this book. It means that our history going backwards from AD1600 becomes progressively more incorrect and unreliable until it cannot be trusted at all... in the space of 700-800 years.

Naturally, the curious, open-minded reader will want to know WHO did this, WHY, and did any of the events we think of as really ancient ever happen?
Dr. Fomenko is a respected scientist/mathematician at Moscow State University who has already answered these questions to the satisfaction of his initially skeptical colleagues. Most of them are now believers, a few still refuse to believe (the usual diehards), and of course the western press has ignored Fomenko's work -- for obvious reasons when you read the book. The ones who perpetrated this chronology ruse have a lot to answer for. They are still with us. That's why this book is a well-kept secret.

I gave the book a 4-star rating because I was unable to check out some of his claims; those I checked were as he said. But if even 1/3 of his claims are true, this punches a big hole in what we think is our history, the meaning of western civilization, our educational process (for repeating the ruse as gospel), and the trustworthiness of the organization that perpetrated this ruse, well-intentioned or not.

This book relates to current research into a Young Earth paradigm, to John Keel's discoveries about our planet, and Fr Malachi Martin's insights (in his now out-of-print books). We are indeed sheep who are manipulated and kept ignorant -- for a reason. While knowing what these men have to say may be the "booby prize" (as in: 'what can you do with this knowledge?'), it will provide interesting reading. Didn't someone say: "...and the Truth will set you free."?? For you to judge if this book contains the truth.

Socialism: An Economic and Sociological Analysis

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A must read for students of economics AND sociology!
The book that turned F.A. Hayek from socialism
A Towering Intellectual Achievement
Truly a Masterpiece
A Tour de Force Defense of Capitalism

Socialism: An Economic and Sociological Analysis
Ludwig von Mises , and Ludwig von Mises
Manufacturer: Liberty Fund
ProductGroup: Book
Binding: Paperback

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The Fatal Conceit: The Errors of Socialism (The Collected Works of F. A. Hayek)

ASIN: 0913966630

Customer Reviews:

A must read for students of economics AND sociology!.......2007-05-23

Mises' Socialism is, perhaps, the most sociologically and economically "sound" theoretical attack on socialism to date. Happily, Dr. Mises' general position has been promulgated in economic journals since the post-war generation, and is the topic of the still relevant "calculation debate." It is not so pleasant that the insights of Mises are largely ignored by the sociology profession (probably because most sociologists continue to be prepossessed by Marxian materialism). However, sociologists who are seduced by the Marxian doctrine will be interested in this theoretical work because it asserts that social life can only be completely transformed, for the worst, under a centrally planned socioeconomic system. Further, Mises' erudition is manifest as he demolishes the work of Karl Marx and other utopians.

The central insight in this text for sociology is that "socialism" must manufacture an "artificial market." That is, a non-private property based market economy where managers will be given incentives in order to perform as private private owners who do business in a socioeconomic system analgous to "rational capitalism." This implication of an overhaul of social institutions (e.g., legal and monetary institutions) is a trenchant one. Hence, the idea of socialism is largely a sociopolitical problem, and one must move outside the perimeters of economic theory in order to address them. And Mises does just that!

The economic and sociological acumen in this work makes the price a steal. I must add, however, that more social scientists outside of economics need to read this tome because one cannot truly understand "society" without an understanding of economics.

The book that turned F.A. Hayek from socialism.......2007-05-10

Does anything else need to be said?

A Towering Intellectual Achievement.......2006-04-27

October 25th 1817- The Bolsheviks stage a coupe in Petrograd and overthrow the Kerensky regime. For the first time ever Marxists seize control of a major nation. It will be several years before the Bolsheviks overwhelm their opponents within Russia. However, one question demands an answer. Will it work? Can socialism at least match the results of capitalism? The full answer to this question came in 1922- the year that Mises published Socialism, an Economic and Sociological Analysis. Here Mises proved that socialism must fail.

Why must socialism fail? The simple answer is because it lacks private ownership and a market for the means of production. As Mises put it "where there is no market there is no price system, and where there is no price system there can be no economic calculation". The full answer has several parts. First, economic calculation requires functioning financial markets. Second, economic calculation requires actual rivalry in markets. Third, economic calculation requires entrepreneurial alertness to profit opportunities. With these three elements in place monetary calculation of private profit reflects true economic costs. As Mises put it economic calculation "is essentially a matter for the capitalists- the capitalists who buy and sell stocks and shares, who make loans and recover them, who make deposits in the banks and draw them out of the banks again, who speculate in all kinds of commodities". Perpetually changing economic conditions mean that- "it is above all necessary that capital should be withdrawn from particular lines of production, from particular undertakings and concerns and should be applied in other lines of production, in other undertakings and concerns". Speculation in financial markets directs resources to the most urgent consumer demands because the most profitable ventures satisfy consumer demand at the least economic cost. Socialism fails because it lacks speculation that takes place only with entrepreneurial rivalry and exchange in financial markets.

The issue of economic calculation is economic, but Mises also inquired into the political and psychological reasons behind the socialist movement. He also discusses historical and cultural issues. Socialism is a full-scale treatise, comparable to Smith's Wealth of Nations. Some might think that a book from 1922 might have lost its relevance, but this is untrue. Mises explained principles that are as valid today as they were originally. In fact, Socialism is more relevant today than many recent books on economics. This is because Mises dealt with the real life problems of a dynamic economy, while much of modern economics focuses on static models that apply only to imaginary economic conditions.

Socialism is not only Mises' best book; it is one of the greatest works ever written on social theory. Mises addressed vital issues with penetrating analysis and delivered profound results. All those who are serious about political economy should read this book, but only after having read Menger's Principles of Economics, and before reading Hayek's Road to Serfdom. Those who are less ambitious should read a shorter book by Mises- Liberalism in the Classical Tradition. In any case, Socialism is a towering intellectual achievement. Were its arguments more widely understood many of the tragedies of 20th century state socialism might have been avoided. This book remains important today because it explains why we live in an age of unprecedented prosperity, and how we can achieve further progress. To put it simply Socialism is as indispensable to intellectual development as property rights are to economic development.

Truly a Masterpiece.......2005-05-28

This is THE definitive work on the impracticality, impossibility and immorality of socialism. Von Mises, who observed socialism first hand before having to flee his home in Europe, and who lived through the age of great collectivist experiments, has written a simply devastating critique. The (supposed) reader below who wrote the review entitled "Propogating Utopian Fallacies", obviously either has not read the book, or completely misunderstood the entire thing. A more ignorant review of this book can hardly be imagined. He makes several dubious assumptions in his review and attributes them to Von Mises. He makes statements like, "Mises doesn't understand," or "Mises believes" and then proceeds to use these statements to try to refute the idea of free markets. He also fails to apply his own logical excercises to himself. For example he states that if Mises were consistent, he would have rejected all government and not just some collectivist programs. Yet the reviewer seems to be a believer in a half-way system where markets are mixed with socialism, "democracy", and government intervention. I guess he must have a monopoly on believing that governments should do some things and leave others to the anarchy of the market. Anyone familair with the rest of Mises's works and with free market and libertarian theory in general can't help but laugh at the claims he makes. This reviewer clearly does not understand property rights based, modern anarchist theory (as opposed to the Rage Against the Machine variety which he makes reference to), nor does he understand this book. The claims he makes in the last paragraph of his reveiw are so outlandish and naive that they do not even warrant a response. An important lesson can be gained here though. Without some prior (correct) understanding of concepts like markets, anarchy, liberty, the true nature of government, and without some understanding of logical processes, it is easy to fall prey to such overly-simplified arguments. I would recommend along with this book, also reading other books by authors such as Mises, Murray Rothbard, Henry Hazlitt, and F.A. Hayek.

A Tour de Force Defense of Capitalism.......2005-03-11

It is truly unfortunate that Von Mises is perhaps the most overlooked 20th Century champion of free market capitalism. His brilliant observations have heavily influenced the momentous (and much more revered) works of Friedrich Hayek, as well as subsequent scholars such as Murray Rothbard, Milton Friedman, Thomas Sowell, and others. Von Mises is the one who towers over almost every other laissez-faire economist (except Adam Smith and few others). His insightful formulations devastated the incessant obfuscations of the socialists and demonstrated, once and for all, the comparative benefits of a free market system.

At the heart of SOCIALISM is the argument that economic calculation is impossible without a free market. Von Mises effectively drove home the need for a market price in order to regulate the supply and demand of human society. Recent proposals for socialized medicine completely deny this importance of the price system: if the price of medicine (for consumers) is zero, the demand will be astronomical, and the doctors and other medical personnel will not be capable of effectively meeting such demand. Few proponents of "universal health care" ever address this concern, which colorfully evidences their lack of interest in -- or understanding of -- Von Mises' penetrating contentions.

"The market is a democracy in which every penny gives a right to vote. . . . Every individual is free to disagree with an election campaign or of the market process. But in a democracy he has no other means to alter things than persuasion. If a man were to say: 'I do not like the mayor elected by majority vote; therefore I ask government to replace him by the man I prefer,' one would hardly call him a democrat. But if the same claims are raised with regard to the market, most people are too dull to discover the dictatorial apirations involved." (p. 490) Von Mises had the presence of mind to fully discern the tyrannical motivations behind most calls for a collectivist arrangement. He knew that the grotesque desires of the elite would inevitably eclipse the true inclinations of man. More than an economic dissertation, SOCIALISM was an expression of human justice, as illuminated by the deference the author paid to the individual autonomy of the common man. Respect for the personal choices of others is, after all, the defining characteristic of freedom.

Regardless of the self-serving configurations of the statists and their innumerable followers, the free market works, as evidenced by the fact that even the poor feely partake in such a system and usually enjoy a much higher standard of living than even the average citizen in socialist nations. As the American federal government continues to expand at an alarming rate, we would do well as a society to better familiarize ourselves with the philosophies of Von Mises and his progeny. Reading SOCIALISM would be a start in the right direction. Those of us who have already surveyed the book should recommend it to as many thoughtful (and open-minded) people as we know. Day by day, one person at a time, we can begin to recover and restore our devotion to liberty as a society. As the author of this tremendous book well knew, the voluntary exchange of a free market will almost always be more efficient and preferable than the coercive force of government. The hollow promises of a big, active, all-intrusive state will always lure a great percentage of our soicety -- most of them well-meaning, but averse to logic and evidence -- yet such dreams always provide the essential fuel for despotism. A return to our federalist roots (in which the states are sovereign entities rather than ineffectual subsidiaries of the federal government) and to the free market principles of Smith and Von Mises would serve us well in our on-going struggle against state-sponsored tyranny.

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SOCIALISM AN ECONOMIC AND SOCIOLOGICAL ANALYSIS

Manufacturer: Jonathan Cape
ProductGroup: Book
Binding: Hardcover
ASIN: B000GR78C0

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Socialism: An Economic and Sociological Analysis
Ludwig Von Mises
Manufacturer: Yale University Press
ProductGroup: Book
Binding: Hardcover
ASIN: B000Q9CMWO

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Socialism;: An economic and sociological analysis
Mises Von
Manufacturer: J. Cape
ProductGroup: Book
Binding: Unknown Binding

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Socialism: an Economic and Sociological Analysis

Manufacturer: Yale University Press
ProductGroup: Book
Binding: Hardcover
ASIN: B000EAC8TM

Product Description

The classic demolition of socialism; a new edition, enlarged with an epilogue.

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Socialism;: An economic and sociological analysis,
Ludwig Von Mises
Manufacturer: J. Cape
ProductGroup: Book
Binding: Unknown Binding

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Socialism an Economic and Sociological Analysis
Ludwig von Mises
Manufacturer: J. Cape
ProductGroup: Book
Binding: Paperback
ASIN: B000OP29SW

Socialism: an Economic and Sociological Analysis: New Edition, Enlarged With an Epilogue

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Socialism: an Economic and Sociological Analysis: New Edition, Enlarged With an Epilogue
Ludwig Von Mises
Manufacturer: Yale University Press
ProductGroup: Book
Binding: Hardcover
ASIN: B000IY1MQY

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Socialism;: An economic and sociological analysis;
Ludwig Von Mises
Manufacturer: Jonathan Cape
ProductGroup: Book
Binding: Unknown Binding

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