abel s theorem in problems and solutions based on the lectures of professor v i arnold kluwer international series in engineering computer scienc

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Abel S Theorem In Problems And Solutions

Author : V.B. Alekseev
ISBN : 9781402021862
Genre : Mathematics
File Size : 72. 72 MB
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Do formulas exist for the solution to algebraical equations in one variable of any degree like the formulas for quadratic equations? The main aim of this book is to give new geometrical proof of Abel's theorem, as proposed by Professor V.I. Arnold. The theorem states that for general algebraical equations of a degree higher than 4, there are no formulas representing roots of these equations in terms of coefficients with only arithmetic operations and radicals. A secondary, and more important aim of this book, is to acquaint the reader with two very important branches of modern mathematics: group theory and theory of functions of a complex variable. This book also has the added bonus of an extensive appendix devoted to the differential Galois theory, written by Professor A.G. Khovanskii. As this text has been written assuming no specialist prior knowledge and is composed of definitions, examples, problems and solutions, it is suitable for self-study or teaching students of mathematics, from high school to graduate.

Lunar Outpost

Author : Erik Seedhouse
ISBN : 0387097473
Genre : Technology & Engineering
File Size : 65. 91 MB
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Lunar Outpost provides a detailed account of the various technologies, mission architectures, medical requirements and training needed to return humans to the Moon within the next decade. It focuses on the means by which a lunar outpost will be constructed and also addresses major topics such as the cost of the enterprise and the roles played by private companies and individual countries. The return of humans to the surface of the Moon will be critical to the exploration of the solar system. The various missions are not only in pursuit of scientific knowledge, but also looking to extend human civilization, economic expansion, and public engagement beyond Earth. As well as NASA, China’s Project 921, Japan’s Aerospace Exploration Agency, Russia, and the European Space Agency are all planning manned missions to the Moon and, eventually, to Mars. The Ares-I and Ares-V are the biggest rockets since the Saturn V and there is much state-of-the-art technology incorporated into the design of Orion, the spacecraft that will carry a crew of four astronauts to the Moon. Lunar Outpost also describes the human factors, communications, exploration activities, and life support constraints of the missions.

Quantitative Wirtschaftsforschung

Author : Ernst Helmstädter
ISBN : STANFORD:36105035677959
Genre : Economics
File Size : 80. 52 MB
Format : PDF
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