Restricted Congruences in Computing
暫譯: 計算中的限制同餘

Name: Restricted Congruences in Computing
Price: 2499 TWD
Availability: OnlineOnly
Author: Bibak, Khodakhast
ISBN: 0367496038

Bibak, Khodakhast

出版商: CRC
出版日期: 2020-09-25
售價: $2,630
貴賓價: 9.5 折 $2,499
語言: 英文
頁數: 145
裝訂: Hardcover - also called cloth, retail trade, or trade
ISBN: 0367496038
ISBN-13: 9780367496036

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商品描述

Congruences are ubiquitous in computer science, engineering, mathematics, and related areas. Developing techniques for finding (the number of) solutions of congruences is an important problem. But there are many scenarios in which we are interested in only a subset of the solutions; in other words, there are some restrictions. What do we know about these restricted congruences, their solutions, and applications?

This book introduces the tools that are needed when working on restricted congruences and then systematically studies a variety of restricted congruences. Restricted Congruences in Computing defines several types of restricted congruence, obtains explicit formulae for the number of their solutions using a wide range of tools and techniques, and discusses their applications in cryptography, information security, information theory, coding theory, string theory, quantum field theory, parallel computing, artificial intelligence, computational biology, discrete mathematics, number theory, and more.

This is the first book devoted to restricted congruences and their applications. It will be of interest to graduate students and researchers across computer science, electrical engineering, and mathematics.

商品描述(中文翻譯)

同餘在計算機科學、工程、數學及相關領域中無處不在。開發尋找同餘解（解的數量）的方法是一個重要的問題。然而，在許多情況下，我們只對解的子集感興趣；換句話說，存在一些限制。我們對這些受限同餘、它們的解及應用了解多少？

本書介紹了在處理受限同餘時所需的工具，然後系統地研究各種受限同餘。《計算中的受限同餘》定義了幾種類型的受限同餘，利用廣泛的工具和技術獲得其解的顯式公式，並討論它們在密碼學、資訊安全、資訊理論、編碼理論、字串理論、量子場論、平行計算、人工智慧、計算生物學、離散數學、數論等領域的應用。

這是第一本專門探討受限同餘及其應用的書籍。對於計算機科學、電機工程和數學的研究生和研究人員來說，這本書將會引起他們的興趣。

作者簡介

Khodakhast Bibak is an Assistant Professor at the Department of Computer Science and Software Engineering at Miami University. He was a Postdoctoral Research Associate at the University of Illinois, Urbana-Champaign, and a Postdoctoral Research Fellow at the University of Victoria, where he also received his PhD (2017). Dr. Bibak previously studied at the University of Waterloo, where he was also a member of the Centre for Applied Cryptographic Research (CACR).