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HISTORY
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Visual Geometry and Topology
Geometry and topology are strongly motivated by the visualization of ideal objects that have certain special characteristics. A clear formulation of a specific property or a logically consistent proof of a theorem often comes only after the mathematician has correctly "seen" what is going on. These pictures which are meant to serve as signposts leading to mathematical understanding, frequently also contain a beauty of their own. The principal aim of this book is to narrate, in an accessible and fairly visual language, about some classical and modern achievements of geometry and topology in both intrinsic mathematical problems and applications to mathematical physics. The book starts from cla...
History: fiction or science?. Chronology 1
The author contends that all generaly accepted historical chronology prior to the 16th century is inaccurate, often off by many hundreds or even thousands of years. Volume 1 of a proposed seven volumes.
Mathematical Impressions
Soviet mathematician Fomenko augments his technical books and papers with visual impressions of mathematical concepts, often reminiscent of Escher, and with allusions to Breughel and Durer. Over 80 reproductions, a few in color, are accompanied by the artist's explanation of the mathematical principles being suggested. Annotation copyrighted by Book News, Inc., Portland, OR
The Issue With Tamerlane
Tamerlane Sword of Islam alias Alexader the GreatBrief consensual history version: the utmost warlord Tamerlane or Timur the Lame (1336 - 1405) was a Turco-Mongol conqueror. He led military campaigns across Western, South and Central Asia, the Caucasus and southern Russia, and emerged as the most powerful ruler in the Muslim world after defeating the Mamluks of Egypt and the Ottoman Empire. Tamerlane founded of the Timurid Empire in Persia and Central Asia.Timur tried to restore the Mongol Empire and justified his Iranian, Mamluk, and Ottoman campaigns as a re-imposition of legitimate Mongol control over lands taken by usurpers. In the course of his numerous campaigns that span from Russia t...
Topological Modeling for Visualization
The flood of information through various computer networks such as the In ternet characterizes the world situation in which we live. Information worlds, often called virtual spaces and cyberspaces, have been formed on computer networks. The complexity of information worlds has been increasing almost exponentially through the exponential growth of computer networks. Such nonlinearity in growth and in scope characterizes information worlds. In other words, the characterization of nonlinearity is the key to understanding, utiliz ing and living with the flood of information. The characterization approach is by characteristic points such as peaks, pits, and passes, according to the Morse theory. ...
Crusades and Exoduses
Why and when the Crusades? The Christianity originated in the Byzantine Empire in XII century as Oriental Orthodox Catholic religion that went in the XII - XV centuries through the subsequent splits, mutations into the competing Orthodox, Catholic, Western, Eastern and Oriental Christianity, Mithraism, Judaism, Buddism, and Islam. Crusades of 1189-1192 AD and 1199-1204 AD to Jerusalem-Constantinople were military operations under the banner of Christianity by the followers and relatives of Jesus idem Emperor Andronicus killed during a religious mutiny. Crusades have ended with the Sack of Constantinople in 1204. Crusades provoked a counter reaction of Islam that by XIII century started to mo...
Dating the Passion
Drawing on computistical and astronomical sources from late antiquity to the Renaissance, this book demonstrates how pre-modern Christian attempts to determine the principal dates of the life of Jesus played an essential role in the development of historical chronology.
Homotopical Topology
This textbook on algebraic topology updates a popular textbook from the golden era of the Moscow school of I. M. Gelfand. The first English translation, done many decades ago, remains very much in demand, although it has been long out-of-print and is difficult to obtain. Therefore, this updated English edition will be much welcomed by the mathematical community. Distinctive features of this book include: a concise but fully rigorous presentation, supplemented by a plethora of illustrations of a high technical and artistic caliber; a huge number of nontrivial examples and computations done in detail; a deeper and broader treatment of topics in comparison to most beginning books on algebraic topology; an extensive, and very concrete, treatment of the machinery of spectral sequences. The second edition contains an entirely new chapter on K-theory and the Riemann-Roch theorem (after Hirzebruch and Grothendieck).
The Issue with Russian Tartary
Delicate Europe escapes from the Evil Great Tartary The consensual world history was manufactured in Europe in XVI-XIX centuries with political agenda of powers of that period on the basis of erroneous clerical chronology elaborated by Jesuits Joseph Justus Scaliger and Dionysius Petavius. Who controls the past controls the future. Who controls the present controls the past. -- George Orwell, 1984 ⦁By the middle of XVI th century the prime political agenda of Europe that reached superiority in Sciences and Technologies, but was still inferior militarily to the Evil Empire of Eurasia, was to free Europe. ⦁The concerted effort of European aristocracy, black and white Catholic clergy, Prote...
