Models for Life: An Introduction to Discrete Mathematical Modeling with Microsoft Office Excel Set
暫譯: 生命模型:使用 Microsoft Office Excel 進行離散數學建模入門
Jeffrey T. Barton
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商品描述
With a focus on mathematical models based on real and current data, Models for Life: An Introduction to Discrete Mathematical Modeling with Microsoft® Office Excel® guides readers in the solution of relevant, practical problems by introducing both mathematical and Excel techniques.
The book begins with a step-by-step introduction to discrete dynamical systems, which are mathematical models that describe how a quantity changes from one point in time to the next. Readers are taken through the process, language, and notation required for the construction of such models as well as their implementation in Excel. The book examines single-compartment models in contexts such as population growth, personal finance, and body weight and provides an introduction to more advanced, multi-compartment models via applications in many areas, including military combat, infectious disease epidemics, and ranking methods. Models for Life: An Introduction to Discrete Mathematical Modeling with Microsoft® Office Excel® also features:
- A modular organization that, after the first chapter, allows readers to explore chapters in any order
- Numerous practical examples and exercises that enable readers to personalize the presented models by using their own data
- Carefully selected real-world applications that motivate the mathematical material such as predicting blood alcohol concentration, ranking sports teams, and tracking credit card debt
- References throughout the book to disciplinary research on which the presented models and model parameters are based in order to provide authenticity and resources for further study
- Relevant Excel concepts with step-by-step guidance, including screenshots to help readers better understand the presented material
- Both mathematical and graphical techniques for understanding concepts such as equilibrium values, fixed points, disease endemicity, maximum sustainable yield, and a drug’s therapeutic window
- A companion website that includes the referenced Excel spreadsheets, select solutions to homework problems, and an instructor’s manual with solutions to all homework problems, project ideas, and a test bank
商品描述(中文翻譯)
本套書包含《Models for Life: An Introduction to Discrete Mathematical Modeling with Microsoft Office Excel》及其配套的《Solutions Manual to Accompany Models for Life: An Introduction to Discrete Mathematical Modeling with Microsoft Office Excel》。
本書專注於基於真實和當前數據的數學模型,《Models for Life: An Introduction to Discrete Mathematical Modeling with Microsoft® Office Excel®》指導讀者通過介紹數學和 Excel 技術來解決相關的實際問題。
本書以逐步介紹離散動態系統開始,這些系統是描述某一數量如何從一個時間點變化到下一個時間點的數學模型。讀者將了解構建此類模型所需的過程、語言和符號,以及如何在 Excel 中實現這些模型。本書探討了單一區室模型在如人口增長、個人財務和體重等背景下的應用,並通過在許多領域的應用(包括軍事作戰、傳染病流行和排名方法)介紹更高級的多區室模型。《Models for Life: An Introduction to Discrete Mathematical Modeling with Microsoft® Office Excel®》還具有以下特點:
- 模組化組織,第一章之後允許讀者以任何順序探索各章節
- 許多實用的例子和練習,使用者可以通過自己的數據來個性化所呈現的模型
- 精心挑選的現實應用,激勵數學材料的學習,例如預測血液酒精濃度、排名運動隊伍和追蹤信用卡債務
- 書中對所呈現模型及模型參數所依據的學科研究的參考,以提供真實性和進一步學習的資源
- 相關的 Excel 概念,提供逐步指導,包括截圖以幫助讀者更好地理解所呈現的材料
- 理解概念的數學和圖形技術,例如平衡值、固定點、疾病地方性、最大可持續產量和藥物的治療窗口
- 附屬網站,包括參考的 Excel 試算表、部分作業問題的解答,以及包含所有作業問題解答、專案想法和測試題庫的教師手冊