Recurrent Sequences Key Results Applications and Problems 2020 Edition at Meripustak

Recurrent Sequences Key Results Applications and Problems 2020 Edition

Books from same Author: Dorin Andrica, Ovidiu Bagdasar

Books from same Publisher: Springer

Related Category: Author List / Publisher List


  • Retail Price: ₹ 5373/- [ 0.00% off ]

    Seller Price: ₹ 5373

Sold By: T K Pandey      Click for Bulk Order

Offer 1: Get ₹ 111 extra discount on minimum ₹ 500 [Use Code: Bharat]

Offer 2: Get 0.00 % + Flat ₹ 100 discount on shopping of ₹ 1500 [Use Code: IND100]

Offer 3: Get 0.00 % + Flat ₹ 300 discount on shopping of ₹ 5000 [Use Code: MPSTK300]

Free Shipping (for orders above ₹ 499) *T&C apply.

In Stock

Free Shipping Available



Click for International Orders
  • Provide Fastest Delivery

  • 100% Original Guaranteed
  • General Information  
    Author(s)Dorin Andrica, Ovidiu Bagdasar
    PublisherSpringer
    ISBN9783030515010
    Pages402
    BindingHardback
    LanguageEnglish
    Publish YearSeptember 2020

    Description

    Springer Recurrent Sequences Key Results Applications and Problems 2020 Edition by Dorin Andrica, Ovidiu Bagdasar

    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 the topic. The exposition moves on to to fundamental results and key examples of recurrences and their properties. The geometry of linear recurrences in the complex plane is presented in detail through numerous diagrams, which lead to often unexpected connections to combinatorics, number theory, integer sequences, and random number generation. The second part of the book presents a collection of 123 problems with full solutions, illustrating the wide range of topics where recurrent sequences can be found. This material is ideal for consolidating the theoretical knowledge and for preparing students for Olympiads. Table of contents : - 1. Introduction to Recurrence Relations.- 2. Basic Recurrent Sequences.- 3. Arithmetic and Trigonometric Properties of Some Classical Recurrent Sequences.- 4. Generated Functions.- 5. More Second Order Linear Recurrent Sequences.- 6. Higher Order Linear Recurrent Sequences.- 7. Recurrences in Olympiad Training.- 8. Solutions to Proposed Problems.- Appendix A. Complex Geometry anhd Number Theory.- Appendix B.- References.- Index.