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商品描述
This text presents mathematical biology as a field with a unity of its own, rather than only the intrusion of one science into another. It updates an earlier successful edition and greatly expands the concept of the "computer biology laboratory," giving students a general perspective of the field before proceeding to more specialized topics. The book focuses on problems of contemporary interest, such as cancer, genetics, and the rapidly growing field of genomics. It includes new chapters on parasites, cancer, and phylogenetics, along with an introduction to online resources for DNA, protein lookups, and popular pattern matching tools such as BLAST. In addition, the emerging field of algebraic statistics is introduced and its power illustrated in the context of phylogenetics. A unique feature of the book is the integration of a computer algebra system into the flow of ideas in a supporting but unobtrusive role. Syntax for both the Maple and Matlab systems is provided in a tandem format. The use of a computer algebra system gives the students the opportunity to examine "what if" scenarios, allowing them to investigate biological systems in a way never before possible. For students without access to Maple or Matlab, each topic presented is complete. Graphic visualizations are provided for all mathematical results. Mathematical Biology includes extensive exercises, problems and examples. A year of calculus with linear algebra is required to understand the material presented. The biology presented proceeds from the study of populations down to the molecular level; no previous coursework in biology is necessary. The book is appropriate for undergraduate and graduate students studying mathematics or biology and for scientists and researchers who wish to study the applications of mathematics and computers in the natural sciences.
商品描述(中文翻譯)
這本書將數學生物學呈現為一個獨立的領域,而不僅僅是一門科學介入另一門科學的情況。它更新了早期成功的版本,並大大擴展了「計算機生物實驗室」的概念,讓學生在進入更專業的主題之前,獲得對這個領域的整體觀點。該書聚焦於當代感興趣的問題,如癌症、基因和快速發展的基因組學領域。它新增了關於寄生蟲、癌症和親緣分析的章節,並介紹了在線資源,用於DNA、蛋白質查找以及像BLAST這樣的流行模式匹配工具。此外,還介紹了新興的代數統計學領域,並在親緣分析的背景下展示了其威力。
該書的一個獨特特點是將計算機代數系統融入到思想流程中,起到支持但不突兀的作用。書中提供了Maple和Matlab系統的語法,以配套的方式呈現。使用計算機代數系統使學生有機會進行「假設」情景的研究,從而以前所未有的方式探索生物系統。對於沒有使用Maple或Matlab的學生,每個主題的呈現都是完整的。所有數學結果都提供了圖形可視化。
《數學生物學》包含了大量的練習題、問題和例子。理解所呈現的材料需要一年的微積分和線性代數的基礎。書中的生物學內容從對人口的研究延伸到分子層面;不需要先修生物學課程。該書適用於攻讀數學或生物學的本科生和研究生,以及希望研究數學和計算機在自然科學中應用的科學家和研究人員。