Mathematical Phyllotaxis
暫譯: 數學的螺旋排列
Swinton, Jonathan
- 出版商: Springer
- 出版日期: 2025-11-08
- 售價: $2,440
- 貴賓價: 9.5 折 $2,318
- 語言: 英文
- 頁數: 170
- 裝訂: Quality Paper - also called trade paper
- ISBN: 3031940121
- ISBN-13: 9783031940125
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相關分類:
離散數學 Discrete-mathematics
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相關主題
商品描述
For centuries, scientists and mathematicians have sought to explain why Fibonacci numbers appear in plant spirals. In recent decades, a modern consensus framework has emerged, offering a compelling mathematical and biological model that goes beyond Fibonacci structure to explain a variety of plant forms. This book provides a rigorous yet accessible introduction to that framework, spanning the mathematics of the Euclidean algorithm, bifurcation theory, and modern molecular biology. Delving into the mechanics of how plants determine organ placement, the book introduces key mathematical tools to classify and analyze these patterns. It examines classic and contemporary models, from Hofmeister's hypothesis to transporter protein-based auxin mechanisms, evaluating their current effectiveness in explaining the evolution and development of plant design. Written for mathematicians, biologists, and interdisciplinary researchers, Mathematics of Phyllotaxis equips readers with the knowledge to critique and contribute to this evolving field. Whether you're a student, a researcher, or simply fascinated by nature's mathematical beauty, this gorgeously illustrated book offers fresh insights into one of biology's most intriguing mysteries.
商品描述(中文翻譯)
幾個世紀以來,科學家和數學家一直在尋求解釋為什麼費波那契數出現在植物的螺旋中。近幾十年來,出現了一個現代共識框架,提供了一個引人注目的數學和生物模型,超越了費波那契結構,以解釋各種植物形態。本書提供了一個嚴謹但易於理解的該框架介紹,涵蓋了歐幾里得算法的數學、分岔理論以及現代分子生物學。深入探討植物如何確定器官位置的機制,本書介紹了關鍵的數學工具來分類和分析這些模式。它檢視了從霍夫邁斯特假說到基於運輸蛋白的生長素機制的經典和當代模型,評估它們在解釋植物設計的演化和發展方面的當前有效性。
本書《葉序數學》是為數學家、生物學家和跨學科研究者而寫,讓讀者具備批判和貢獻於這一不斷發展領域的知識。無論你是學生、研究人員,還是單純對自然的數學美感到著迷,這本插圖精美的書籍都提供了對生物學中最引人入勝的謎題之一的新見解。
作者簡介
Jonathan Swinton has worked for thirty years as a mathematical biologist in university plant science and zoology departments and in the pharmaceutical industry. He is a long erstwhile Fellow of King's College Cambridge and nearly as erstwhile Visiting Professor in Systems Biology in the University of Oxford. Mathematical Phyllotaxis is based on invited graduate lectures that Jonathan gave in the University of Cambridge from 2019 onwards. His social and intellectual group biography Alan Turing's Manchester was published in 2018. Shining Molly, his new biography of the psychologist Molly Harrower, has been accepted for publication by the University of Akron Press in 2025.
作者簡介(中文翻譯)
喬納森·斯溫頓(Jonathan Swinton)在大學的植物科學和動物學系以及製藥行業擔任數學生物學家已有三十年。他曾是劍橋大學國王學院的長期研究員,並且幾乎同時擔任牛津大學系統生物學的訪問教授。《數學葉序》(Mathematical Phyllotaxis)是基於喬納森自2019年起在劍橋大學所做的邀請研究生講座而編寫的。他的社會與智識群體傳記《艾倫·圖靈的曼徹斯特》(Alan Turing's Manchester)於2018年出版。他的新傳記《閃耀的莫莉》(Shining Molly),講述心理學家莫莉·哈羅威(Molly Harrower),已被阿克倫大學出版社(University of Akron Press)接受,預計於2025年出版。