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Recurrent Sequences: Key Results, Applications, and Problems

Recurrent Sequences: Key Results, Applications, and Problems

Paperback

Series: Problem Books in Mathematics

AlgebraGeneral Mathematics

ISBN10: 3030515044
ISBN13: 9783030515041
Publisher: Springer
Published: Sep 25 2021
Pages: 402
Weight: 1.28
Height: 0.85 Width: 6.14 Depth: 9.21
Language: English

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.

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General Mathematics