History: Fiction or Science? (Chronology, No. 1)
Average customer rating: 4.5 out of 5 stars
  • Calculations are only as good as your numbers
  • Pants on fire?
  • Accepted History & Chronology Must Be Changed.
  • Very Interesting
  • History as Science Fiction
History: Fiction or Science? (Chronology, No. 1)
Anatoly Fomenko
Manufacturer: Mithec
ProductGroup: Book
Binding: Paperback

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ASIN: 2913621058

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:

3 out of 5 stars 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.

5 out of 5 stars 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.

5 out of 5 stars 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.

5 out of 5 stars 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.

4 out of 5 stars 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.
Linear Processes in Function Spaces: Theory and Applications (Lecture Notes in Statistics)
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    Linear Processes in Function Spaces: Theory and Applications (Lecture Notes in Statistics)
    D. Bosq
    Manufacturer: Springer
    ProductGroup: Book
    Binding: Paperback

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    ASIN: 0387950524

    Book Description

    The main subject of this book is the estimation and forecasting of continuous time processes. It leads to a development of the theory of linear processes in function spaces.The necessary mathematical tools are presented in Chapters 1 and 2. Chapters 3 to 6 deal with autoregressive processes in Hilbert and Banach spaces. Chapter 7 is devoted to general linear processes and Chapter 8 with statistical prediction. Implementation and numerical applications appear in Chapter 9. The book assumes a knowledge of classical probability theory and statistics. Denis Bosq is Professor of Statistics at the University of Paris 6 (Pierre et Marie Curie). He is Chief-Editor of Statistical Inference for Stochastic Processes and of Annales de l'ISUP, and Associate Editor of the Journal of Nonparametric Statistics. He is an elected member of the International Statistical Institute, and he has published about 100 papers or works on nonparametric statistics and five books including Nonparametric Statistics for Stochastic Processes: Estimation and Prediction, Second Edition (Springer, 1998).
    An Introduction to Hilbert Space
    Average customer rating: 4.5 out of 5 stars
    • GOOD for control theory theory
    • A Tantalizing Introduction to Hilbert Space
    • Very Clear,short and useful
    • An unusually readable book on Hilbert space
    • Concise and accurate introduction to Hilbert space
    An Introduction to Hilbert Space
    N. Young
    Manufacturer: Cambridge University Press
    ProductGroup: Book
    Binding: Paperback

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    5. Introduction to Hilbert Spaces with Applications Introduction to Hilbert Spaces with Applications

    ASIN: 0521337178

    Book Description

    This textbook is an introduction to the theory of Hilbert spaces and its applications. The notion of a Hilbert space is a central idea in functional analysis and can be used in numerous branches of pure and applied mathematics. Dr. Young stresses these applications particularly for the solution of partial differential equations in mathematical physics and to the approximation of functions in complex analysis. Some basic familiarity with real analysis, linear algebra and metric spaces is assumed, but otherwise the book is self-contained. The book is based on courses given at the University of Glasgow and contains numerous examples and exercises (many with solutions). The book will make an excellent first course in Hilbert space theory at either undergraduate or graduate level and will also be of interest to electrical engineers and physicists, particularly those involved in control theory and filter design.

    Customer Reviews:

    5 out of 5 stars GOOD for control theory theory.......2002-10-02

    This book is good to any control engineer who wants to know the background theory of optimization and robust control, but read read an analysis book first.

    4 out of 5 stars A Tantalizing Introduction to Hilbert Space.......2002-02-27

    Young has done an admirable job at presenting some really beautiful and useful aspects of Hilbert spaces in a manner comprehendable for advanced undergraduates. After reading the book and reflecting on the experience, I'm somewhat amazed at the amount of nice ideas that were presented in such a compact text. The book cannot be compared with more rigorous and comprehensive texts such as Rudin, but you still get all the fundamentals of Hilbert space plus some wonderful applications.

    I must strongly disagree with the reader from Sao Paolo who says that chapters 12 and 13 are poorly motivated. These chapters are crucial for the final theorem of the book in chapter 16. Parrott's Theorem in chapter 12 is the key to the foundational Nehari's theorem of chapter 15. Chapter 13 explores Hardy spaces which are the setting place for the major theorem of Adamyan, Arov, and Krein in chapter 16. In fact, I found the movement of ideas from chapter 12 to chapter 16 to be marvelously compelling. These chapters have extreme importance for theoretically oriented control engineers.

    Only a modicum of real and complex analysis is necessary to understand the book. Knowledge of measure theory is not required.

    5 out of 5 stars Very Clear,short and useful.......2000-10-20

    The first eleven chapters are an excellent introduction to functional analysis . Both Hilbert and Banach spaces are introduced carefully. Then there are two short chapters on orthogonal expansions and classical fourier series and then linear operators are studied. From the point of view of a person who is interested in applications to physics and engineering one can say that the book is well motivated mainly because is so compact and because of the many notes on applications. Chapters nine , ten and eleven on Green's functions and eigenfunctions expansions are extremely good. Chapters twelve and thirteen are poorly motivated from the point of view of applications.Finally chapters fourteen to sixteen try to exhibit the applications to complex analysis of operator theory and be helpfull to eletrical engineers.I think the book fails in this. So the ten first chapters of the book are excellent . The remaining less so

    5 out of 5 stars An unusually readable book on Hilbert space.......2000-06-12

    An unusually readable book on Hilbert space. Very clean notation and very detailed proofs. There are also numerous diagrams. There are also answers to selected problems, but no detailed solutions. If you own one book on Hilbert space, or even functional analysis, this should be it. The author takes great pains to illustrate the ideas involved, not just pound out the theorems.

    4 out of 5 stars Concise and accurate introduction to Hilbert space.......2000-01-14

    I found this book a concise, well written and accurate introduction to linear algebra. Although some fellow students told me they found it too dry, I had no problem with that.
    History: Fiction or Science? Chronology 2 (Chronology)
    Average customer rating: 5 out of 5 stars
    • Check and see
    • Suprise! Suprise!
    • Prescient St Augustine?
    • Something of a disappointment
    • Romulus courts Helen, Paris founds Rome, Moses goes to Troy..
    History: Fiction or Science? Chronology 2 (Chronology)
    Anatoly T Fomenko
    Manufacturer: Delamere Resources LLC
    ProductGroup: Book
    Binding: Paperback

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    ASIN: 2913621066

    Product Description

    `History: Fiction or Science? Chronology 2` is the second volume of the most explosive and astounding tractate on history ever written - however, every theory it contains, no matter how unorthodox, is backed by rock solid scientific data. The book is easy and pleasant to read; it is well-illustrated, contains hundreds of charts, graphs and illustrations, copies of ancient manuscripts, and countless facts attesting to the falsity of the chronology used nowadays. You will be amazed to discover: - That the chronology universally accepted today and taken for granted is simply wrong; - That ALL methods of dating of ancient sources and artefacts known today are erroneous or non-exact; - That there is not a single document that could be reliably dated earlier than the XIth century; The Author refers to the Middle Ages as the “Antiquity” and proves mutual superimposition of the Second and the Third Roman Empire, both of which become identified as the respective kingdoms of Israel and Judah. Furthermore, he asserts that the famous reform of the Occidental Church in the XI century by “Pope Gregory Hildebrand” was the reflection of the XII century reforms of Byzantine emperor Andronicus who in his turn identifies with Jesus Christ. The Trojan war counted by Homer happened only as late as of the XIII century A.D. and the great poet actually lived in XIV century A.D. No stone in history of Antiquity is left unturned. Literally. This book is the beginning of a major correction to the chronology we live with.

    Customer Reviews:

    5 out of 5 stars Check and see.......2007-06-21

    I don't care what other people say of this book. Those affirmig it's fake, they hadn't ever read it. Or have some special reasons to do so. "Living is easy with eyes closed, misunderstanding all you see..." This book won't make you feel comfortable. It'll make you feel free. It'll make you feel you're "not the only one" to feel you'd been lied to for centuries.

    5 out of 5 stars Suprise! Suprise!.......2007-03-22

    Here is a serie of books which turns "the whole world" upside down. I learned a lot of it and I hope that a new book from A.T. Fomenko will follow very quick. A absolute must for everybody who is interested in history or even a little bit from it.

    5 out of 5 stars Prescient St Augustine?.......2006-02-05

    We can so far divide the New Chronology into the following three parts:

    a) The verifiable theory that proves consensual chronology wrong with the aid of astronomy, statistics and mathematics;

    b) The new chronology hypothesis based on a new understanding of known historical facts and the most likely logical explanation of the most obvious inconsistencies inherent in the official version of history;

    c) The history conjectures, that is experimental historical reconstructions based on assumptions that the authors believe to make sense in the light of their research and linguistic parallels - void of ironclad factual support to date.

    Fomenko's theory complies with the most rigid scientific standards as a whole:

    It gives a coherent explanation of what we already know.

    - It is consistent: independent lines of inquiry all lead to the same conclusion.

    - The predictions it makes are confirmed empirically.

    Fomenko goes by the following axioms:

    - Chronology is the basis of history;

    - Human evolution has always been linear, gradual and irreversible;

    - The "cyclic" nature of human civilization is a myth, likewise all the gaps, duplicates, "dark ages" and "renaissances" that we know from consensual history;

    - The accumulation of geographical knowledge as reflected in cartography is a gradual and irreversible process;

    - The chronological distance between a given manuscript and the events described therein is proportional to the amount of distortions it contains;

    - There is no "useless" information in authentic ancient sources.

    Why the mainstream historians do not shower mathematician Academician Dr.Prof Fomenko with thanks and laurels?

    The Russians:

    Because Fomenko asserts that there was no such thing as the Tartar and Mongol invasion followed by three centuries of slavery, providing a formidable body of documental evidence to prove his assertion. The so-called "Tartars and Mongols" were the actual ancestors of the modern Russians, living in a bilingual state with Arabic spoken as freely as Russian. The ancient Russian state was governed by a double structure of civil and military authorities. The hordes were actually professional armies with a tradition of lifelong conscription (the recruitment being the so-called "blood tax"). Their "invasions" were punitive operations against the regions that attempted tax evasion. Fomenko proves that Russian history as we know it today is a blatant forgery concocted by a host of German scientists brought to Russia by the usurper dynasty of the Romanovs, whose ascension to the throne was the result of coup d'état, charged with the mission of making their reign look legitimate. Fomenko proves Ivan the Terrible to be a collation of four rulers, no less. They represented the two rival dynasties - the legitimate rulers and the ambitious upstarts. The winner took it all! Over some 30 years of controversy, Russian historians have made a most remarkable transition - they were initially accusing the young mathematician Fomenko of anticommunist dissident activity and attempts to deface the historical legacy of Soviet Russia; nowadays the middle-aged mathematician is accused of adhering to "pro-communist Russian nationalism" and defacing the proud historical legacy of Great Russia.

    The Westerners:

    Because Fomenko blows consensual Russian history to smithereens, successfully removing a crucial cornerstone from underneath the otherwise impeccable edifice of World History. Fomenko adds insult to injury, wiping out one by one the Ancient Rome (the foundation of Rome in Italy is dated to the XIV century A. D.), the Ancient Greece and its numerous poleis, which he identifies as the mediaeval crusader settlements on the territory of Greece, and the Ancient Egypt (the pyramids of Giza become dated to the XI-XV century A. D. and identified as the royal cemetery of the Global "Mongolian" Empire, no less). The civilization of the Ancient Egypt is irrefutably dated to the XII-XV century A. D. with the aid of the ancient Egyptian horoscopes cut in stone. He was the first one to decipher and date all such horoscopes, coming up with mediaeval dates in every case. English historians rage at the suggestion that the history of Ancient England was de facto a Byzantine import transplanted to the English soil by the fugitive Byzantine nobility. To reward the English historians who consider themselves the true scribes of World History, the cover of the present book portrays Tintoretto's Jesus Christ crucified on the Big Ben.

    The Chinese:

    Because Fomenko wipes out the Ancient History of China outright. No such thing. Full point. The compilation of the so-called Ancient Chinese History is reliably datable to the XVII-XVIII century only. It is perfectly recognizable as the Ancient European history, reworked and transcribed in hieroglyphs as yet another historical transplantation, this time performed on the Chinese soil by the loving Jesuit hands. The Chinese are the next in line to go berserk. Chinese history is inevitably bound to get both more ancient and more eventful, proportionally to the growing involvement of China in the world affairs. Chinese historians will keep on finding valid proof of prehistoric Chinese spaceflights until the Politburo orders them to shut up.

    The Arabs:

    Too bad. Islam with all its key figures is datable to XV-XVI century A. D. Arabic historians may find consolation in the crucial historical role of the Ottoman Empire in the XVI-XVII century. The trouble is that this empire was initially a Christian state, with Hagia Sophia identifiable as Temple of Solomon, according to Fomenko! We can only guess if the acquisition of Alexander the Great (a Macedonian and a Christian) as the founder of the Muslim World Empire will make Fomenko's theories more acceptable to the Arabic mainstream. He certainly does not spare any holy cows at all, claiming The Stone of Qa'Aba in Mecca to contain the lost Arch of the Covenant.

    The Divinity:

    Despite of reiterated statement that his theory is all about chronology and not Religion, Fomenko stirs up a whole condominium of wasp nests. His collection of anathemas, fatwa, and other condemnations from all parties concerned is already considerable. Little wonder, considering that the history of religions à la Fomenko looks as follows: the pre-Christian period (before the XI century and JC), Bacchic Christianity (XI-XII century, before and after JC), JC Christianity (XII-XVI century) and its subsequent mutations into Orthodox Christianity, the Catholicism, Islam, Buddhism, and so on.

    According to Fomenko we know strictly NOTHING about the events that predate the X century A. D.

    St Augustin was prescient when he spoke unto us: "be wary of mathematicians, particularly when they speak the truth."





    4 out of 5 stars Something of a disappointment.......2005-09-09

    After having read the first volume of this expected series of 7 volumes I was triggered by the thesis of these authors that ancient Greek and Roman history did in fact take place in the Middle Ages. So I started studying medieval history of the Middle East - also known as Islamic history - to find out if the opponents of the ancient Greeks and Romans - the Acheamenid Persians, Sassanids, Scythians, Egyptians, etc. - also have their duplicates in medieval history. My search was disappointing: none of the many medieval Islamic dynasties seemed to correspond to the ancient middle eastern rulers.

    However, I did find a close correspondence between Herodotus' Persian kings and medieval events:

    - the defeat and capture of an Anatolian king - the Lydian Croesus - by the Persian conqueror Cyrus is identical to the defeat and capture of another Anatolian king - sultan Bayezid - by the Asian/Mongol conqueror Tamerlane;
    - the Persian conquest of Egypt by the cruel tyrant Cambyses reds almost exactly as the Ottoman conquest of Egypt by Selim the Grim (note the nickname!);
    - Darius the Lawgiver of the Persian Empire looks very much alike to Sulayman the Magnificent, the Lawgiver in Islamic history;
    - Xerxes, whose main claim to fame is to be defeated by the Greeks at the naval battle of Salamis, looks like Selim II (the Sot) whose main claim to fame is to be defeated by a Spanish-Italian alliance at the naval battle of Lepanto.

    I should have expected Fomenko et al. to arrive at similar conclusions, however, they claim that the Persian kings are the alter egos of the Angevin kings of Sicily whose biographies do not contain the exploits of the Persian kings.

    The similiarities I indicate lead to the conclusion that Herodotus must have written his Histories at the close of the 16th century. But this is extremely late, given that Herodotus is "the Father of History", so therefore all other "ancient" histories must have been fabricated even later. Yet, the founders of modern chronology - Scaliger and Petavius - laid their foundations also at the close of the 16th century and had the full corpus of ancient histories already at their disposal.

    It seems to me that Fomenko has to address these inconsistencies, maybe in the forthcoming 5 volumes?

    Another critique of their book is that the correspondencies between different rulers are often based on a superficial comparison of the biographies; upon a more thorough comparison many details appear that do not correspond at all.

    Finally, the authors rely heavily on the works of Gregorovius (1821-1891!!) - his medieval histories of Rome and Athens - as the source of medieval history; these works are - at least in the West - hoplessly outdated and have been superceded by more up-to-date works (for instance, Julius Norwich's trilogy on Byzantine history is not even cited).

    5 out of 5 stars Romulus courts Helen, Paris founds Rome, Moses goes to Troy.........2005-07-30


    If you agree with Fomenko that Roman chronology is basically the foundation of the entire edifice of global chronology; you would also certainly agree that despite its numerous gaps and inconsistencies, Roman history is the best-documented field of ancient history, and thus a reference scale. But how well is the actual date of the Eternal City's foundation known?

    Firstly, Rome is supposed to have been founded by the Trojans who had to flee after the fall of Troy. Some claim Rome to have been founded by Aeneas and Ulysses shortly after Troy had fallen; others are of the opinion that there was an entire dynasty that ruled for 500 years between the fall of Troy and the foundation of Rome.

    Well, that's just an innocent 500 years long misunderstanding compared with what heretic Fomenko says, asserts, proves in his second volume: Second Roman Empire, Third Roman Empire, Biblical Kingdom of Israel, Biblical Kingdom of Judah, Holy Roman Empire are stories about basically same events, written from different points of view at different times. The underlying events have actually taken place during xii-xv cy. These histories have been written and perfected by multitude of highly talented humanist and clerical writers of xiii-xvi cy disguised as "ancients" with glorious names like Homer, Pluto, Thucydides etc..Chronology 2.0 beta..

    Historians are kindly invited to report the bugs.
    Convergence of Probability Measures (Wiley Series in Probability and Statistics)
    Average customer rating: 5 out of 5 stars
    • THE BOOK on WEAK CONVERGENCE
    Convergence of Probability Measures (Wiley Series in Probability and Statistics)
    Patrick Billingsley
    Manufacturer: Wiley-Interscience
    ProductGroup: Book
    Binding: Hardcover

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    3. Testing Statistical Hypotheses (Springer Texts in Statistics) Testing Statistical Hypotheses (Springer Texts in Statistics)
    4. Diffusions, Markov Processes and Martingales (Cambridge Mathematical Library) Diffusions, Markov Processes and Martingales (Cambridge Mathematical Library)
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    ASIN: 0471197459

    Book Description

    A new look at weak-convergence methods in metric spaces-from a master of probability theory In this new edition, Patrick Billingsley updates his classic work Convergence of Probability Measures to reflect developments of the past thirty years. Widely known for his straightforward approach and reader-friendly style, Dr. Billingsley presents a clear, precise, up-to-date account of probability limit theory in metric spaces. He incorporates many examples and applications that illustrate the power and utility of this theory in a range of disciplines-from analysis and number theory to statistics, engineering, economics, and population biology. With an emphasis on the simplicity of the mathematics and smooth transitions between topics, the Second Edition boasts major revisions of the sections on dependent random variables as well as new sections on relative measure, on lacunary trigonometric series, and on the Poisson-Dirichlet distribution as a description of the long cycles in permutations and the large divisors of integers. Assuming only standard measure-theoretic probability and metric-space topology, Convergence of Probability Measures provides statisticians and mathematicians with basic tools of probability theory as well as a springboard to the "industrial-strength" literature available today.

    Customer Reviews:

    5 out of 5 stars THE BOOK on WEAK CONVERGENCE.......1998-07-16

    A classic, will survive through the ages as long as Real Analysis and Probability are studied by students the world over. You need it to get a fundamental grounding in Probability Theory
    Gaussian Hilbert Spaces (Cambridge Tracts in Mathematics)
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      Gaussian Hilbert Spaces (Cambridge Tracts in Mathematics)
      Svante Janson
      Manufacturer: Cambridge University Press
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      ASIN: 0521561280

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      Statistical Analysis of Environmental Space-Time Processes (Springer Series in Statistics)
      Average customer rating: 4 out of 5 stars
      • Analysis techniques for spatially distributed data
      Statistical Analysis of Environmental Space-Time Processes (Springer Series in Statistics)
      Nhu D. Le , and James V. Zidek
      Manufacturer: Springer
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      ASIN: 0387262091

      Book Description

      This book provides a broad introduction to the fascinating subject of environmental space-time processes; addressing the role of uncertainty. Within that context, it covers a spectrum of technical matters from measurement to environmental epidemiology to risk assessment. It showcases non-stationary vector-valued processes, while treating stationarity as a special case. The contents reflect the authors’ cumulative knowledge gained over many years of consulting and research collaboration. In particular, with members of their research group, they developed within a hierarchical Bayesian framework, the new statistical approaches presented in the book for analyzing, modeling, and monitoring environmental spatio-temporal processes. Furthermore they indicate new directions for development.

      This book contains technical and non-technical material and it is written for statistical scientists as well as consultants, subject area researchers and students in related fields. Novel chapters present the authors’ hierarchical Bayesian approaches to:

      - spatially interpolating environmental processes

      - designing networks to monitor environmental processes

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      - incorporating risk assessment

      In addition, they present a comprehensive and critical survey of other approaches, highlighting deficiencies that their method seeks to overcome. Special sections marked by an asterisk provide rigorous development for readers with a strong technical background. Alternatively readers can go straight to the tutorials supplied in chapter 14 and learn how to apply the free, downloadable modeling and design software that the authors and their research partners have developed.

      Customer Reviews:

      4 out of 5 stars Analysis techniques for spatially distributed data.......2007-04-23

      This is a chatty discussion of mathematical techniques for analyzing sampled spatially distributed data.

      I found it quite accessible. It included advances in classical techniques occurring since I last studied geostatistics. The issue of estimating extremes is openly discussed if not completely laid to rest.

      Bottom line: I liked it and found it useful.
      Between Necessity and Probability: Searching for the Definition and Origin of Life (Advances in Astrobiology and Biogeophysics)
      Average customer rating: 5 out of 5 stars
      • An interesting book about a fundamental question
      Between Necessity and Probability: Searching for the Definition and Origin of Life (Advances in Astrobiology and Biogeophysics)
      Radu Popa
      Manufacturer: Springer
      ProductGroup: Book
      Binding: Hardcover

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      ASIN: 3540204903

      Book Description

      This study investigates the major theories of the origins of life in the light of modern research with the aim of distinguishing between the necessary and the optional and between deterministic and random influences in the emergence of what we call ‘life.’ Life is treated as a cosmic phenomenon whose emergence and driving force should be viewed independently from its Earth-bound natural history. The author synthesizes all the fundamental life-related developments in a comprehensive scenario, and makes the argument that understanding life in its broadest context requires a material-independent perspective that identifies its essential fingerprints.

      Customer Reviews:

      5 out of 5 stars An interesting book about a fundamental question.......2004-11-08

      How did life originate? Well, it's a wide open question. As Popa tells us, an explanation that is missing a critical step won't do. There are plenty of clues. But Popa shows us that there are still many approaches to putting the clues together.

      There are plenty of approaches that are being pursued today. Popa tells us about many of them. Still, let's remind ourselves of some of them. One is to look for fossil evidence and DNA evidence of our earliest ancestors. Say that these turn out to be hyperthermophiles. Use that information, as well as the stability properties of RNA and DNA, to deduce the environment life originated in. A second idea is to look at the way we synthesize RNA (or DNA) today. Use that information to speculate about how the first RNA and DNA evolved. A third idea is to look at the self-assembly properties of entities for clues. A fourth idea is to note the similarity of ATP and the nucleic acid adenine. Assume this is no coincidence! A fifth idea is to do all sorts of experiments with collections of monomers and see if they arrange themselves into replicating strings. A sixth idea is to concentrate on computer simulations of all this. Computer simulations of the origin of replication show that there are some dangers, such as the "selfish RNA catastrophe," the "short-circuit catastrophe," the "population collapse catastrophe," and simply the risk of too many replication errors. Draw conclusions from the fact that these hazards were successfully avoided. A seventh idea is to at least answer the question of what came first, replication, metabolism, or cellularization. And so on. It seems that there is a great deal we aren't at all sure of.

      Popa starts with the issue of the issue of the development of cellularization, metabolism, and replication. He asserts that since all are needed for life, they must have evolved together, not serially. He states that the ATP coincidence probably is unimportant, with ATP's use as an energy carrier being a late development. And he takes on the mathematical modelers by stating that they generally omit first order effects by not tracing the energy flow and the degradation of the evolving entities.

      The issues Popa dwells on most are the energy sources, bioinformation, chirality, and the origin of specificity (as opposed to "metabolism" or "homeostasis"). Of these, the part on chirality was the most interesting to me. Popa discusses the implication that life's chirality implies the existence of some large-scale chiral driver, such as rotating vortices or asymmetries in right and left circularly polarized light.

      There's also quite a bit of useful material about the definition of life. Popa is right to make the point that "life" and "living entities" are not at all synonymous.

      Anyway, it is an interesting book about a tough problem: I'm glad I can just read about it and don't have to solve it!
      Metric Spaces of Non-Positive Curvature (Grundlehren der mathematischen Wissenschaften)
      Average customer rating: 1 out of 5 stars
      • Fine book, don't order it from Amazon
      • Not yet shipped
      Metric Spaces of Non-Positive Curvature (Grundlehren der mathematischen Wissenschaften)
      Martin R. Bridson , and André Haefliger
      Manufacturer: Springer
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      3. Polynomial Representations of GL_n: with an Appendix on Schensted Correspondence and Littelmann Paths (Lecture Notes in Mathematics) Polynomial Representations of GL_n: with an Appendix on Schensted Correspondence and Littelmann Paths (Lecture Notes in Mathematics)

      ASIN: 3540643249

      Book Description

      This book describes the global properties of simply-connected spaces that are non-positively curved in the sense of A. D. Alexandrov, and the structure of groups which act on such spaces by isometries. The theory of these objects is developed in a manner accessible to anyone familiar with the rudiments of topology and group theory: non-trivial theorems are proved by concatenating elementary geometric arguments, and many examples are given. Part I is an introduction to the geometry of geodesic spaces. In Part II the basic theory of spaces with upper curvature bounds is developed. More specialized topics, such as complexes of groups, are covered in Part III. The book is divided into three parts, each part is divided into chapters and the chapters have various subheadings. The chapters in Part III are longer and for ease of reference are divided into numbered sections.

      Customer Reviews:

      1 out of 5 stars Fine book, don't order it from Amazon.......2006-08-17

      I have ordered this book from Amazon more than FIVE MONTHS ago, every 6-7 weeks they send a computer generated email apologizing for the delay. Also their customer service is unable to provide a firm date for delivery.

      1 out of 5 stars Not yet shipped.......2006-08-01

      I was asked in an email promotion to review this book. It was supposed to arrive a week ago, but it still has not shipped. It would be nice if Amazon would pay attention to getting items shipped before they asked for a review.
      Random Point Processes in Time and Space (Springer Texts in Electrical Engineering)
      Average customer rating: Not rated
        Random Point Processes in Time and Space (Springer Texts in Electrical Engineering)
        Donald L. Snyder , and Michael I. Miller
        Manufacturer: Springer
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        1. An Introduction to the Theory of Point Processes, Volume 1 An Introduction to the Theory of Point Processes, Volume 1

        ASIN: 0387975772

        Book Description

        This senior graduate level textbook is the second revised edition of the textbook "Random Point Processes", written by D.L. Snyder and published in 1975. Its main thrust is point processes on multidimensional spaces, especially to processes in two dimensions. This reflects the tremendous increase that has taken place in the use of point-process models for the description of data from which images of objects of interest are formed in a wide variety of scientific and engineering disciplines. Research done by the authors at the Biomedical Computer Laboratory at Washington University has led to newly developed models for position emission tomography and electron-microscopic autoradiography. All the applications which the authors have been involved are examples of nonparametric density estimation, which provides the major motivation for new results on constrained estimation techniques. For these applications, the use of unconstrained maximum-likelihood estimation fails because the estimates are not consistent in the statistical sense; they do not converge, with increasing amounts of data, towards the quantity being estimated. Regularization of the estimates is, therefore, absolutely essential, and knowledge of this subject is crucial.

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