| 书目名称 | Squigonometry: The Study of Imperfect Circles | | 编辑 | Robert D. Poodiack,William E. Wood | | 视频video | | | 概述 | Introduces generalized trigonometric functions through an expanded notion of unit circle.Showcases new results alongside well-established theory.Engages readers with illustrations, projects, and oppor | | 丛书名称 | Springer Undergraduate Mathematics Series | | 图书封面 |  | | 描述 | .This textbook introduces generalized trigonometric functions through the exploration of imperfect circles: curves defined by |.x.|.p. + |.y.|.p. = 1 where .p. ≥ 1. Grounded in visualization and computations, this accessible, modern perspective encompasses new and old results, casting a fresh light on duality, special functions, geometric curves, and differential equations. Projects and opportunities for research abound, as we explore how similar (or different) the trigonometric and .squigonometric. worlds might be...Comprised of many short chapters, the book begins with core definitions and techniques. Successive chapters cover inverse squigonometric functions, the many possible re-interpretations of .π., two deeper dives into parameterizing the squigonometric functions, and integration. Applications include a celebration of Piet Hein’s work in design. From here, more technical pathways offer further exploration. Topicsinclude infinite series; hyperbolic, exponential, and logarithmic functions; metrics and norms; and lemniscatic and elliptic functions. Illuminating illustrations accompany the text throughout, along with historical anecdotes, engaging exercises, and wry humor...Squ | | 出版日期 | Textbook 2022 | | 关键词 | generalized trigonometry introduction; generalized trigonometry textbook; squigonometry; squigonometric | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-031-13783-9 | | isbn_softcover | 978-3-031-13782-2 | | isbn_ebook | 978-3-031-13783-9Series ISSN 1615-2085 Series E-ISSN 2197-4144 | | issn_series | 1615-2085 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 16:49:35
