Great Circle of Mysteries: Mathematics, the World, the Mind
暫譯: 神秘的大圓:數學、世界與心智
Gromov, Misha
- 出版商: Birkhauser
- 出版日期: 2018-08-21
- 售價: $5,140
- 貴賓價: 9.5 折 $4,883
- 語言: 英文
- 頁數: 202
- 裝訂: Hardcover - also called cloth, retail trade, or trade
- ISBN: 3319530488
- ISBN-13: 9783319530482
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相關分類:
離散數學 Discrete-mathematics
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商品描述
This visionary and engaging book provides a mathematical perspective on the fundamental ideas of numbers, space, life, evolution, the brain and the mind. The author suggests how a development of mathematical concepts in the spirit of category theory may lead to unravelling the mystery of the human mind and the design of universal learning algorithms.
The book is divided into two parts, the first of which describes the ideas of great mathematicians and scientists, those who saw sparks of light in the dark sea of unknown. The second part, Memorandum Ergo, reflects on how mathematics can contribute to the understanding of the mystery of thought. It argues that the core of the human mind is a structurally elaborated object that needs a creation of a broad mathematical context for its understanding. Readers will discover the main properties of the expected mathematical objects within this context, called ERGO-SYSTEMS, and readers will see how these "systems" may serve as prototypesfor design of universal learning computer programs.
This is a work of great, poetical insight and is richly illustrated. It is a highly attractive read for all those who welcome a mathematical and scientific way of thinking about the world.
商品描述(中文翻譯)
這本富有遠見且引人入勝的書籍提供了數字、空間、生命、演化、大腦和心智的基本概念的數學視角。作者建議,根據範疇理論的精神發展數學概念,可能有助於揭開人類心智的神秘以及設計通用學習算法。
本書分為兩部分,第一部分描述了偉大的數學家和科學家的思想,他們在未知的黑暗海洋中看到了光芒。第二部分《Memorandum Ergo》反思數學如何有助於理解思維的奧秘。書中主張,人類心智的核心是一個結構上精緻的對象,需要創造一個廣泛的數學背景來理解。讀者將在這個背景下發現所期望的數學對象的主要特性,這些對象被稱為 ERGO-SYSTEMS,並且讀者將看到這些「系統」如何作為設計通用學習計算機程序的原型。
這是一部具有深刻詩意洞察的作品,並且插圖豐富。對於所有歡迎以數學和科學方式思考世界的人來說,這是一本極具吸引力的讀物。
作者簡介
Mikhail Leonidovich Gromov is a French-Russian mathematician. He is a Professor at the Institut des Hautes Études Scientifiques and New York University. During his outstanding career he has received many honors and prizes; most recently he was awarded the Abel Prize "for his revolutionary contributions to geometry." He is a prolific author with more than 150 scientific publications including 8 books.
作者簡介(中文翻譯)
米哈伊爾·列昂尼多維奇·格羅莫夫(Mikhail Leonidovich Gromov)是一位法國-俄羅斯數學家。他是高等科學研究所(Institut des Hautes Études Scientifiques)和紐約大學(New York University)的教授。在他卓越的職業生涯中,他獲得了許多榮譽和獎項;最近,他因其對幾何學的革命性貢獻而獲得阿貝爾獎(Abel Prize)。他是一位多產的作者,擁有超過150篇科學出版物,包括8本書籍。