Dynamics Statistics And Projective Geometry Of Galois Fields

Author : Vladimir Igorevich Arnolʹd
Publisher :
ISBN 13 : 9780511992483
Total Pages : 92 pages
Book Rating : 4.83/5 ( download)

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Download or read book Dynamics, Statistics and Projective Geometry of Galois Fields written by Vladimir Igorevich Arnolʹd and published by . This book was released on 2014-05-14 with total page 92 pages. Available in PDF, EPUB and Kindle. Book excerpt: V. I. Arnold reveals some unexpected connections between Galois fields and other apparently unrelated theories.

Author : V. I. Arnold
Publisher : Cambridge University Press
ISBN 13 : 1139493442
Total Pages : 91 pages
Book Rating : 4.44/5 ( download)

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Download or read book Dynamics, Statistics and Projective Geometry of Galois Fields written by V. I. Arnold and published by Cambridge University Press. This book was released on 2010-12-02 with total page 91 pages. Available in PDF, EPUB and Kindle. Book excerpt: V. I. Arnold reveals some unexpected connections between such apparently unrelated theories as Galois fields, dynamical systems, ergodic theory, statistics, chaos and the geometry of projective structures on finite sets. The author blends experimental results with examples and geometrical explorations to make these findings accessible to a broad range of mathematicians, from undergraduate students to experienced researchers.

Author : Ingemar Bengtsson
Publisher : Cambridge University Press
ISBN 13 : 1107026253
Total Pages : 637 pages
Book Rating : 4.54/5 ( download)

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Download or read book Geometry of Quantum States written by Ingemar Bengtsson and published by Cambridge University Press. This book was released on 2017-08-18 with total page 637 pages. Available in PDF, EPUB and Kindle. Book excerpt: This new edition describes the space of quantum states and the theory of quantum entanglement from a geometric perspective.

Author : V. I. Arnold
Publisher : American Mathematical Soc.
ISBN 13 : 0821894161
Total Pages : 158 pages
Book Rating : 4.63/5 ( download)

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Download or read book Experimental Mathematics written by V. I. Arnold and published by American Mathematical Soc.. This book was released on 2015-07-14 with total page 158 pages. Available in PDF, EPUB and Kindle. Book excerpt: One of the traditional ways mathematical ideas and even new areas of mathematics are created is from experiments. One of the best-known examples is that of the Fermat hypothesis, which was conjectured by Fermat in his attempts to find integer solutions for the famous Fermat equation. This hypothesis led to the creation of a whole field of knowledge, but it was proved only after several hundred years. This book, based on the author's lectures, presents several new directions of mathematical research. All of these directions are based on numerical experiments conducted by the author, which led to new hypotheses that currently remain open, i.e., are neither proved nor disproved. The hypotheses range from geometry and topology (statistics of plane curves and smooth functions) to combinatorics (combinatorial complexity and random permutations) to algebra and number theory (continuous fractions and Galois groups). For each subject, the author describes the problem and presents numerical results that led him to a particular conjecture. In the majority of cases there is an indication of how the readers can approach the formulated conjectures (at least by conducting more numerical experiments). Written in Arnold's unique style, the book is intended for a wide range of mathematicians, from high school students interested in exploring unusual areas of mathematics on their own, to college and graduate students, to researchers interested in gaining a new, somewhat nontraditional perspective on doing mathematics. In the interest of fostering a greater awareness and appreciation of mathematics and its connections to other disciplines and everyday life, MSRI and the AMS are publishing books in the Mathematical Circles Library series as a service to young people, their parents and teachers, and the mathematics profession. Titles in this series are co-published with the Mathematical Sciences Research Institute (MSRI).

Author : Laruelle Sophie
Publisher : World Scientific
ISBN 13 : 9813231149
Total Pages : 368 pages
Book Rating : 4.46/5 ( download)

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Download or read book Market Microstructure In Practice (Second Edition) written by Laruelle Sophie and published by World Scientific. This book was released on 2018-01-18 with total page 368 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book exposes and comments on the consequences of Reg NMS and MiFID on market microstructure. It covers changes in market design, electronic trading, and investor and trader behaviors. The emergence of high frequency trading and critical events like the"Flash Crash" of 2010 are also analyzed in depth. Using a quantitative viewpoint, this book explains how an attrition of liquidity and regulatory changes can impact the whole microstructure of financial markets. A mathematical Appendix details the quantitative tools and indicators used through the book, allowing the reader to go further independently. This book is written by practitioners and theoretical experts and covers practical aspects (like the optimal infrastructure needed to trade electronically in modern markets) and abstract analyses (like the use on entropy measurements to understand the progress of market fragmentation). As market microstructure is a recent academic field, students will benefit from the book's overview of the current state of microstructure and will use the Appendix to understand important methodologies. Policy makers and regulators will use this book to access theoretical analyses on real cases. For readers who are practitioners, this book delivers data analysis and basic processes like the designs of Smart Order Routing and trade scheduling algorithms. In this second edition, the authors have added a large section on orderbook dynamics, showing how liquidity can predict future price moves, and how High Frequency Traders can profit from it. The section on market impact has also been updated to show how buying or selling pressure moves prices not only for a few hours, but even for days, and how prices relax (or not) after a period of intense pressure. Further, this edition includes pages on Dark Pools, Circuit Breakers and added information outside of Equity Trading, because MiFID 2 is likely to push fixed income markets towards more electronification. The authors explore what is to be expected from this change in microstructure. The appendix has also been augmented to include the propagator models (for intraday price impact), a simple version of Kyle's model (1985) for daily market impact, and a more sophisticated optimal trading framework, to support the design of trading algorithms. Contents: Monitoring the Fragmentation at Any ScaleUnderstanding the Stakes and the Roots of FragmentationOptimal Organizations for Optimal TradingAppendix A: Quantitative AppendixAppendix B: Glossary Readership: Graduate and research students of financial markets and quantitative finance, Regulators and policy makers, practitioners. Keywords: Market Microstructure;Finance;Financial Markets;Market Liquidity;Financial Regulation;MiFID;Reg NMS;ESMAReview: Reviews of the First Edition: “Lehalle and Laruelle bring [their] experience to bear on every aspect of the discussion, as well as deep quantitative understanding. The resulting book is a unique mixture of real market knowledge and theoretical explanation. There is nothing else out there like it, and this book will be a central resource for many different market participants.” Robert Almgren President and Cofounder of Quantitative Brokers, New York “Charles' and Sophie's book on markets microstructure will improve our knowledge and consequently help us to tweak these potentiometers. In promoting better education, this book is at the roots of restoring trust in the markets.” Philippe Guillot Executive Director, Markets Directorate Autorité des marchés financiers (AMF), Paris “This book pro

Author :
Publisher :
ISBN 13 :
Total Pages : 644 pages
Book Rating : 4.85/5 ( download)

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Download or read book Russian Mathematical Surveys written by and published by . This book was released on 2008 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : Michiel Hazewinkel
Publisher : Springer Science & Business Media
ISBN 13 : 9400903650
Total Pages : 743 pages
Book Rating : 4.54/5 ( download)

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Download or read book Encyclopaedia of Mathematics written by Michiel Hazewinkel and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 743 pages. Available in PDF, EPUB and Kindle. Book excerpt: This ENCYCLOPAEDIA OF MATHEMATICS aims to be a reference work for all parts of mathe matics. It is a translation with updates and editorial comments of the Soviet Mathematical Encyclopaedia published by 'Soviet Encyclopaedia Publishing House' in five volumes in 1977-1985. The annotated translation consists of ten volumes including a special index volume. There are three kinds of articles in this ENCYCLOPAEDIA. First of all there are survey-type articles dealing with the various main directions in mathematics (where a rather fine subdivi sion has been used). The main requirement for these articles has been that they should give a reasonably complete up-to-date account of the current state of affairs in these areas and that they should be maximally accessible. On the whole, these articles should be understandable to mathematics students in their first specialization years, to graduates from other mathematical areas and, depending on the specific subject, to specialists in other domains of science, en gineers and teachers of mathematics. These articles treat their material at a fairly general level and aim to give an idea of the kind of problems, techniques and concepts involved in the area in question. They also contain background and motivation rather than precise statements of precise theorems with detailed definitions and technical details on how to carry out proofs and constructions. The second kind of article, of medium length, contains more detailed concrete problems, results and techniques.

Author : Pierre Guillot
Publisher : Cambridge University Press
ISBN 13 : 1108421776
Total Pages : 309 pages
Book Rating : 4.75/5 ( download)

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Download or read book A Gentle Course in Local Class Field Theory written by Pierre Guillot and published by Cambridge University Press. This book was released on 2018-11 with total page 309 pages. Available in PDF, EPUB and Kindle. Book excerpt: A self-contained exposition of local class field theory for students in advanced algebra.

Author : University of Western Ontario
Publisher :
ISBN 13 :
Total Pages : 138 pages
Book Rating : 4.40/5 ( download)

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Download or read book Announcement written by University of Western Ontario and published by . This book was released on 1956 with total page 138 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Author : William Thomson Baron Kelvin
Publisher :
ISBN 13 :
Total Pages : 606 pages
Book Rating : 4.86/5 ( download)

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Download or read book Principles of Mechanics and Dynamics written by William Thomson Baron Kelvin and published by . This book was released on 1962 with total page 606 pages. Available in PDF, EPUB and Kindle. Book excerpt: