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Titlebook: Symmetry; A Mathematical Explo Kristopher Tapp Textbook 2021Latest edition Springer Nature Switzerland AG 2021 Cayley table.Euclidean space

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发表于 2025-3-21 17:47:55 | 显示全部楼层 |阅读模式
书目名称Symmetry
副标题A Mathematical Explo
编辑Kristopher Tapp
视频video
概述Stretches the imagination of math and non-math majors alike by exploring symmetry across the built and natural world.Supports instructors with a complete set of animated lecture slides prepared by the
丛书名称Texts for Quantitative Critical Thinking
图书封面Titlebook: Symmetry; A Mathematical Explo Kristopher Tapp Textbook 2021Latest edition Springer Nature Switzerland AG 2021 Cayley table.Euclidean space
描述.This textbook invites readers to explore the properties of objects that we effortlessly recognize as symmetrical. From the human body, to elaborate artworks and abstract networks, symmetry is ubiquitous in the world around us; it is essential to function and beauty across the built and natural world. By developing mathematical language to describe symmetry, this textbook equips readers to explore symmetries with precision, illuminating commonalities across art and science..Beginning with an exploration of intuitive notions of symmetry, the author introduces the algebraic structure of groups by examining rotations and reflections. Topics that follow include the classification of two-dimensional patterns, the Platonic solids, and a study of real and prime numbers. This second edition features numerous new examples and exercises, “Elements of Mathematics” sections that more closely examine mathematical tools, and optional content that offers opportunities for extension. Figures are woven into the presentation throughout, with many illustrations now offered in motion as integrated video content...Symmetry. suits a wide audience, demanding no mathematical training past high school basi
出版日期Textbook 2021Latest edition
关键词Cayley table; Euclidean space; Euler characteristic; Platonic solid; Pythagorean Theorem for liberal art
版次2
doihttps://doi.org/10.1007/978-3-030-51669-7
isbn_softcover978-3-030-51671-0
isbn_ebook978-3-030-51669-7Series ISSN 2523-8647 Series E-ISSN 2523-8655
issn_series 2523-8647
copyrightSpringer Nature Switzerland AG 2021
The information of publication is updating

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ve been identified and are discussed in detail in this chapter. Waking activities predominantly exchanged for less sleep (i.e., working, traveling, socializing and communicating, grooming, and watching TV) are also discussed. The relationships between social factors and insufficient sleep demonstrat
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Kristopher Tappve sleepiness, and insomnia. The challenge is that the phenotype data are quite limited. Moreover, the UK Biobank has large numbers of relatively healthy subjects so the prevalence of any specific disorder is low. This approach has been complemented by development of large biobanks based on specific
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Kristopher Tappgins, a “sleeping partner”, one that we can nickname the .Schlafroman. or “sleep-novel”, whose quiet absorption in the wordlessness and passivity of human slumber subtly complicates the imperatives of self-awareness and purposive action that traditionally govern the novel. .978-3-030-09183-5978-3-319-75253-2
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Kristopher Tappeping disorder. Even if ADHD is truly present, sleep problems may make ADHD symptoms worse and treatment may not work as effectively as possible if comorbid sleeping problems are not being addressed. Treating sleep disorders in children with ADHD can help improve or even eliminate symptoms and bette
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