| 书目名称 | Recurrent Sequences | | 副标题 | Key Results, Applica | | 编辑 | Dorin Andrica,Ovidiu Bagdasar | | 视频video | | | 概述 | Appropriate for math olympiad competitors; Contains challenging problems and solutions.Teaches techniques and facts that are central to mathematics.Presents a diverse range of state-of-the-art topics | | 丛书名称 | Problem Books in Mathematics | | 图书封面 |  | | 描述 | .This self-contained text presents state-of-the-art results on recurrent sequences and their applications in algebra, number theory, geometry of the complex plane and discrete mathematics. It is designed to appeal to a wide readership, ranging from scholars and academics, to undergraduate students, or advanced high school and college students training for competitions. The content of the book is very recent, and focuses on areas where significant research is currently taking place. Among the new approaches promoted in this book, the authors highlight the visualization of some recurrences in the complex plane, the concurrent use of algebraic, arithmetic, and trigonometric perspectives on classical number sequences, and links to many applications. It contains techniques which are fundamental in other areas of math and encourages further research on the topic. The introductory chapters only require good understanding of college algebra, complex numbers, analysis and basic combinatorics.For Chapters 3, 4 and 6 the prerequisites include number theory, linear algebra and complex analysis. .The first part of the book presents key theoretical elements required for a good understanding of | | 出版日期 | Textbook 2020 | | 关键词 | recurrent sequences; linear recurrence; geometric patterns; complex plane; integer sequences; combinatori | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-030-51502-7 | | isbn_softcover | 978-3-030-51504-1 | | isbn_ebook | 978-3-030-51502-7Series ISSN 0941-3502 Series E-ISSN 2197-8506 | | issn_series | 0941-3502 | | copyright | Springer Nature Switzerland AG 2020 |
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发表于 2025-3-21 18:21:45
