Exploring the Beauty of Fascinating Numbers
暫譯: 探索迷人數字的美麗

Gupta, Shyam Sunder

Exploring the Beauty of Fascinating Numbers
  • 出版商: Springer
  • 出版日期: 2025-03-08
  • 售價: $1,960
  • 貴賓價: 9.8 折 $1,920
  • 語言: 英文
  • 頁數: 604
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 9819724643
  • ISBN-13: 9789819724642
  • 相關分類: 離散數學 Discrete-mathematics

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商品描述

This book is a great treasure for everyone who enjoys the beauty of the fascinating world of recreational mathematics. It focuses on recreational aspects of numbers to create interest and motivate readers to learn to be creative in improving their problem-solving techniques. The book would help ignite interest in numbers, which will benefit teachers trying to teach math, especially to students who don't like math, by supplementing their regular curriculum with the module containing material from the book, which provides an opportunity for fun and joy while developing mathematical skills. The ideas for further exploration given in the book offer food for thought to delve into the world of research and fun, in addition to testing computational skills. The book communicates the excitement and fascination of numbers to the students in schools and colleges. The theory behind the subject matter has been kept to a minimum to retain the recreational nature of the book. The book has a delightful coverage of numerical curiosities, coincidences and wonders, revealing many new eye-opening properties of numbers.

Organized into 23 chapters, the book contains a large variety of topics: digital root wonders, the elegance of squares, triangular numbers, Smith numbers, amicable numbers, perfect, multiple perfect and sociable numbers, happy numbers, Fibonacci numbers, Lucas numbers, and the Golden ratio, Kaprekar numbers, self-numbers, repunit numbers, equal product of reversible numbers (EPRNs), rare numbers, fascinating factorials, Ulam numbers, mystery of π, cab and vampire numbers, digital invariants and narcissistic numbers, special numbers like autobiographical numbers, Harshad numbers, parasite numbers, polydivisible numbers, Ramanujan numbers, number curiosities such as lucky mistakes, Pascal's triangle and Pythagorean triplets. Pythagoras attributed mystical qualities to some of the numbers. Even the religious properties of numbers were extensively studied. So, four chapters are exclusively devoted to such numbers, namely, the amazing number 108, the unlucky 13, the beauty of 153, and the number of the beast, with lots of new curiosities and miraculous coincidences.

商品描述(中文翻譯)

這本書對於所有喜愛迷人休閒數學世界之美的人來說，都是一個極大的寶藏。它專注於數字的休閒方面，以激發興趣並激勵讀者學會創造性地改善他們的解題技巧。這本書將幫助點燃對數字的興趣，這對於試圖教授數學的教師尤其有益，特別是對於那些不喜歡數學的學生，通過補充他們的常規課程，使用書中包含的模組，提供在發展數學技能的同時享受樂趣和快樂的機會。書中提供的進一步探索的想法，為深入研究和樂趣的世界提供了思考的食糧，除了測試計算技能之外。這本書向學校和大學的學生傳達了數字的興奮和迷人之處。書中對主題的理論保持在最低限度，以保留書籍的休閒性質。這本書愉快地涵蓋了數字的好奇心、巧合和奇蹟，揭示了許多數字的新奇特性。

本書分為23章，涵蓋了各種主題：數字根的奇蹟、平方的優雅、三角數、史密斯數、友好數、完美數、多重完美數和社交數、快樂數、費波那契數、盧卡斯數和黃金比例、卡普雷卡數、自數、重數、可逆數的等積（EPRNs）、稀有數、迷人的階乘、尤拉姆數、圓周率的謎、計程車數和吸血鬼數、數字不變量和自戀數、特殊數字如自傳數、哈爾沙德數、寄生數、多可整除數、拉馬努金數、數字的好奇心如幸運錯誤、帕斯卡三角形和畢氏三元組。畢達哥拉斯將神秘的特質歸於某些數字。甚至數字的宗教特性也被廣泛研究。因此，四章專門致力於這些數字，即驚人的數字108、不幸的13、美麗的153和獸之數，並包含許多新的好奇心和奇妙的巧合。

作者簡介

Shyam Sunder Gupta is a former senior officer of the Government of India and spearheaded multiple complex projects as Principal Chief Engineer of Indian Railways. He is an Indian Railway Service of Engineers (IRSE) officer of batch 1981. He has more than 35 years of experience in various managerial, administrative and technical positions, such as Principal Chief Engineer, Executive Director and Divisional Railway Manager on Indian Railways. An Indian recreational mathematician who is actively involved in popularising mathematics at the national and international levels. His major discoveries are Equal Product of Reversible Numbers (EPRNs), rare numbers, unique numbers, palindromic pseudoprimes, fifth-order prime polynomial, 17350-digit memorable prime, etc.

His interest in number recreations dates back to 1978, when his first paper, Miracles of Last Digit, was published. Since then, his contributions have been published in Science Reporter, Science Today, Math Education, At Right Angles, The American Mathematical Monthly, The Mathematical Gazette, Mathematical Spectrum, Scientia Magna and several international books like Unsolved Problems in Number Theory (by R. K. Guy), The Universal Book of Mathematics (by David J. Darling), The Penguin Dictionary of Curious and Interesting Numbers (by David Wells), Prime Curios!: The Dictionary of Prime Number Trivia (by Chris K. Caldwell and G. L. Honaker) and Those Fascinating Numbers (by Jean-Marie De Koninck). Author of the book, Creative Puzzles to Ignite Your Mind (Springer, 2023), he also co-authored Civil Engineering Through Objective Type Questions (CBS, 1985).

作者簡介(中文翻譯)

Shyam Sunder Gupta 是印度政府的前高級官員，曾擔任印度鐵路的首席總工程師，負責多個複雜項目的推動。他是1981年批次的印度鐵路工程服務（IRSE）官員，擁有超過35年的經驗，曾在印度鐵路擔任多個管理、行政和技術職位，如首席總工程師、執行董事和區域鐵路經理。他是一位印度的休閒數學家，積極參與在國內外推廣數學。他的主要發現包括可逆數的等積（EPRNs）、稀有數、獨特數、回文偽質數、五次方質數多項式、17350位數的難忘質數等。

他對數字娛樂的興趣可以追溯到1978年，當時他的第一篇論文《最後一位數的奇蹟》發表。自那時以來，他的貢獻已發表在《科學報告》、《今日科學》、《數學教育》、《直角》、《美國數學月刊》、《數學公報》、《數學光譜》、《Scientia Magna》以及幾本國際書籍中，如《數論中的未解問題》（作者：R. K. Guy）、《數學的普遍書籍》（作者：David J. Darling）、《好奇和有趣數字的企鵝字典》（作者：David Wells）、《質數趣聞！：質數 trivia 字典》（作者：Chris K. Caldwell 和 G. L. Honaker）以及《那些迷人的數字》（作者：Jean-Marie De Koninck）。他是書籍《激發思維的創意謎題》（Springer, 2023）的作者，並共同撰寫了《通過客觀題的土木工程》（CBS, 1985）。

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