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Titlebook: Selection Tests in Number Theory for Mathematical Olympiads; Corneliu Mănescu-Avram Textbook 2024 The Editor(s) (if applicable) and The Au

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发表于 2025-3-21 17:54:15 | 显示全部楼层 |阅读模式
书目名称Selection Tests in Number Theory for Mathematical Olympiads
编辑Corneliu Mănescu-Avram
视频video
概述Gathers selection tests in number theory proposed to national IMO teams.Covers tests administered in various countries from 1968 to 2024.Ideal as preparation material for students aiming to compete in
丛书名称Problem Books in Mathematics
图书封面Titlebook: Selection Tests in Number Theory for Mathematical Olympiads;  Corneliu Mănescu-Avram Textbook 2024 The Editor(s) (if applicable) and The Au
描述.This book gathers carefully chosen selection tests proposed to IMO (International Mathematical Olympiad) teams across many countries. Offering a blend of original solutions and adaptations by the author, this work is chronologically organized and provides a unique insight into the evolution of this mathematical contest. The proposed problems touch on topics such as the Chinese remainder theorem, Diophantine equations, Fermat‘s theorem, Euler‘s theorem, perfect squares, sequences of integers, and Pythagorean triples, to name a few. A meticulously crafted index helps the reader navigate through the topics with ease. This book serves as an invaluable preparation tool for both aspiring students and those passionate about mathematics alike..
出版日期Textbook 2024
关键词number theory; mathematical olympiads; math competitions; IMO; chinese remainder theorem; Diophantine equ
版次1
doihttps://doi.org/10.1007/978-3-031-59742-8
isbn_softcover978-3-031-59744-2
isbn_ebook978-3-031-59742-8Series ISSN 0941-3502 Series E-ISSN 2197-8506
issn_series 0941-3502
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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Textbook 2024heorem, perfect squares, sequences of integers, and Pythagorean triples, to name a few. A meticulously crafted index helps the reader navigate through the topics with ease. This book serves as an invaluable preparation tool for both aspiring students and those passionate about mathematics alike..
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the underlying theory accessible to a wider audience. The book assumes a knowledge only of basic calculus, matrix algebra, and elementary statistics. The emphasis is on methods and the analysis of data sets. The logic and tools of model-building for stationary and nonstationary time series are devel
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5. The spectral representation of a stationary time series {..} essentially decomposes {..} into a sum of sinusoidal components with uncorrelated random coefficients. In conjunction with this decomposition there is a corresponding decomposition into sinusoids of the autocovariance function of {..}.
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Corneliu Mănescu-Avramstate-space models with applications to time series of count data, exponential smoothing, the Holt-Winters and ARAR forecasting algorithms, transfer function models and intervention analysis. Brief introductions are also given to cointegration and to nonlinear, continuous-time and long-memory models
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