书目名称 | Computer Algebra | 副标题 | An Algorithm-Oriente | 编辑 | Wolfram Koepf | 视频video | | 概述 | Balances theoretical and practical aspects with an implementation-oriented approach.Guides readers through numerous hands-on tutorials to build practical skills and algorithmic thinking.Supports three | 丛书名称 | Springer Undergraduate Texts in Mathematics and Technology | 图书封面 |  | 描述 | .This textbook offers an algorithmic introduction to the field of computer algebra. A leading expert in the field, the author guides readers through numerous hands-on tutorials designed to build practical skills and algorithmic thinking. This implementation-oriented approach equips readers with versatile tools that can be used to enhance studies in mathematical theory, applications, or teaching. Presented using .Mathematica. code, the book is fully supported by downloadable sessions in .Mathematica., .Maple., and .Maxima....Opening with an introduction to computer algebra systems and the basics of programming mathematical algorithms, the book goes on to explore integer arithmetic. A chapter on modular arithmetic completes the number-theoretic foundations, which are then applied to coding theory and cryptography. From here, the focus shifts to polynomial arithmetic and algebraic numbers, with modern algorithms allowing the efficient factorization of polynomials. The final chapters offer extensions into more advanced topics: simplification and normal forms, power series, summation formulas, and integration...Computer Algebra. is an indispensable resource for mathematics and computer | 出版日期 | Textbook 2021 | 关键词 | Computer algebra textbook; Computer algebra reference; Maple algebra; Mathematica algebra; Maxima algebr | 版次 | 1 | doi | https://doi.org/10.1007/978-3-030-78017-3 | isbn_softcover | 978-3-030-78019-7 | isbn_ebook | 978-3-030-78017-3Series ISSN 1867-5506 Series E-ISSN 1867-5514 | issn_series | 1867-5506 | copyright | Springer Nature Switzerland AG 2021 |
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