The Enchantment of Numbers
暫譯: 數字的魅力
Roettger, Eric L. F., Williams, Hugh C.
- 出版商: Springer
- 出版日期: 2025-07-03
- 售價: $5,410
- 貴賓價: 9.5 折 $5,140
- 語言: 英文
- 頁數: 324
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3031765672
- ISBN-13: 9783031765674
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商品描述
Inspired by the classic Recreations in the Theory of Numbers--The Queen of Mathematics Entertains by Albert H. Beiler, this book brings the excitement of recreational number theory into the 21st century through the lens of computational techniques. While Beiler's work, originally published in 1964, captivated readers with its breadth and charm, some sections have become dated. Here, we re-examine most of the key topics Beiler covered, while introducing fresh updates and insights rooted in computational number theory.
The authors aim to present efficient computer algorithms to tackle various problems that arise in the theory of numbers, providing a deeper and more modern perspective on these timeless puzzles. Though we cannot rival Beiler's exuberant prose, we hope our enduring fascination with these topics -- cultivated over decades of study and teaching -- will shine through and resonate with readers.
The book is structured into 21 chapters, each focusing on different facets of number theory with which the authors have extensive expertise. From ancient problems to contemporary computational challenges, this volume will reignite the joy and wonder found in numbers while incorporating the power of modern computation. Whether you're a seasoned mathematician or a curious learner, this book promises a journey through the rich and playful landscape of number theory, making both historical and new discoveries accessible to all.
商品描述(中文翻譯)
受到阿爾伯特·H·貝勒（Albert H. Beiler）經典著作《數字理論的娛樂——數學女王的娛樂》的啟發，本書透過計算技術的視角，將休閒數字理論的興奮帶入21世紀。雖然貝勒的作品最初於1964年出版，以其廣度和魅力吸引了讀者，但某些部分已顯得過時。在此，我們重新檢視貝勒所涵蓋的大多數關鍵主題，同時引入根植於計算數字理論的新更新和見解。
作者旨在提出高效的計算機算法，以解決數字理論中出現的各種問題，提供對這些永恆謎題更深入且現代的視角。雖然我們無法與貝勒的生動文筆相提並論，但我們希望我們對這些主題的持久著迷——經過數十年的學習和教學所培養的——能夠展現出來，並與讀者產生共鳴。
本書分為21章，每章專注於作者擁有豐富專業知識的數字理論不同面向。從古老的問題到當代的計算挑戰，本卷將重新點燃數字中的樂趣和驚奇，同時融入現代計算的力量。無論您是經驗豐富的數學家還是好奇的學習者，本書都承諾帶您踏上探索數字理論豐富而有趣的旅程，讓歷史和新發現對所有人都變得可及。
作者簡介
Eric completed his undergraduate work in 2002 from the University of Regina receiving bachelor degrees in both mathematics and computer science. He remained in Regina for his masters work, doing research on Lucas functions under the supervision of Dr. Richard McIntosh. He went on to complete his doctorate at the University of Calgary, with a dissertation titled, A Cubic Extension of the Lucas Functions, under the supervision of Dr. Hugh Williams and Dr. Siguna Muller.
Eric is an Associate Professor cross appointed between the departments of General Education and Mathematics and Computing. Eric works in the area of elementary number theory, in particular with Lucas functions and other divisibility sequences.
Dr. Hugh Williams is internationally recognized as an expert in computational number theory and its applications to cryptography. He has authored over 150 refereed journal papers, 30 refereed conference papers and 20 books or book chapters. After a university career of 46 years, he was appointed Professor Emeritus in Mathematics and Statistics at the University of Calgary.作者簡介(中文翻譯)
埃瑞克於2002年在雷吉納大學完成本科學業，獲得數學和計算機科學的雙學士學位。他在雷吉納繼續攻讀碩士學位，並在理查德·麥金托什博士的指導下進行有關盧卡斯函數的研究。他隨後在卡爾加里大學完成博士學位，論文題目為《盧卡斯函數的立方擴展》，指導教授為休·威廉斯博士和西古娜·穆勒博士。
埃瑞克是通識教育與數學與計算系的副教授，擔任跨系職位。埃瑞克的研究領域為初等數論，特別是盧卡斯函數及其他可除性序列。
休·威廉斯博士在計算數論及其在密碼學中的應用方面享有國際聲譽。他已發表超過150篇經過審核的期刊論文、30篇經過審核的會議論文以及20本書籍或書章。在大學任教46年後，他被任命為卡爾加里大學數學與統計學的名譽教授。
