Exploring Modeling with Data and Differential Equations Using R
暫譯: 使用 R 探索數據與微分方程的建模

Zobitz, John

Exploring Modeling with Data and Differential Equations Using R
  • 出版商: CRC
  • 出版日期: 2022-11-29
  • 售價: $3,850
  • 貴賓價: 9.5 折 $3,658
  • 語言: 英文
  • 頁數: 356
  • 裝訂: Hardcover - also called cloth, retail trade, or trade
  • ISBN: 1032259485
  • ISBN-13: 9781032259482
  • 相關分類: R 語言、Data Science

    • 海外代購書籍(需單獨結帳)

商品描述

Exploring Modeling with Data and Differential Equations Using R provides a unique introduction to differential equations with applications to the biological and other natural sciences. Additionally, model parameterization and simulation of stochastic differential equations are explored, providing additional tools for model analysis and evaluation. This unified framework sits at the intersection of different mathematical subject areas, data science, statistics, and the natural sciences. The text throughout emphasizes data science workflows using the R statistical software program and the tidyverse constellation of packages. Only knowledge of calculus is needed; the text's integrated framework is a stepping stone for further advanced study in mathematics or as a comprehensive introduction to modeling for quantitative natural scientists.

The text will introduce you to:

  • modeling with systems of differential equations and developing analytical, computational, and visual solution techniques.
  • the R programming language, the tidyverse syntax, and developing data science workflows.
  • qualitative techniques to analyze a system of differential equations.
  • data assimilation techniques (simple linear regression, likelihood or cost functions, and Markov Chain, Monte Carlo Parameter Estimation) to parameterize models from data.
  • simulating and evaluating outputs for stochastic differential equation models.

An associated R package provides a framework for computation and visualization of results. It can be found here: https: //cran.r-project.org/web/packages/demodelr/index.html.

商品描述(中文翻譯)

《使用 R 探索數據與微分方程建模》提供了一個獨特的微分方程介紹，並應用於生物學及其他自然科學。此外，還探討了模型參數化和隨機微分方程的模擬，為模型分析和評估提供了額外的工具。這個統一的框架位於不同數學學科、數據科學、統計學和自然科學的交匯處。全書強調使用 R 統計軟體和 tidyverse 套件的數據科學工作流程。只需具備微積分的知識；本書的整合框架是進一步深入數學研究的基石，或作為定量自然科學家建模的全面介紹。

本書將介紹您：

- 使用微分方程系統進行建模，並開發分析、計算和視覺解決技術。
- R 程式語言、tidyverse 語法，以及開發數據科學工作流程。
- 分析微分方程系統的定性技術。
- 數據同化技術（簡單線性回歸、似然或成本函數，以及馬可夫鏈蒙地卡羅參數估計）以從數據中參數化模型。
- 模擬和評估隨機微分方程模型的輸出。

相關的 R 套件提供了一個計算和可視化結果的框架。可以在這裡找到： https://cran.r-project.org/web/packages/demodelr/index.html。

作者簡介

John Zobitz is a Professor of Mathematics and Data Science at Augsburg University in Minneapolis, Minnesota. His scholarship in environmental data science includes ecosystem models parameterized with datasets from environmental observation networks. He is a member of the Mathematical Association of America (MAA) and previous president of the North Central Section of the MAA. He has served on the editorial board of MAA Notes. He was a recipient of the Fulbright-Saastamoinen Foundation Grant in Health and Environmental Sciences at the University of Eastern Finland in Kuopio, Finland. In addition, he is an affiliated member of the Ecological Forecasting Network and regularly taught at Fluxcourse, an annual summer course for measurements and modeling of ecosystem biogeochemical fluxes.

作者簡介(中文翻譯)

約翰·佐比茲是明尼蘇達州明尼阿波利斯奧格斯堡大學的數學與數據科學教授。他在環境數據科學方面的研究包括使用環境觀測網絡數據集參數化的生態系統模型。他是美國數學協會（MAA）的成員，並曾擔任MAA北中部分會的會長。他曾擔任MAA Notes的編輯委員會成員。他是芬蘭庫奧皮奧東芬蘭大學健康與環境科學的富布賴特-薩斯塔莫寧基金會獎學金獲得者。此外，他還是生態預測網絡的附屬成員，並定期在Fluxcourse教授，這是一個每年舉辦的夏季課程，專注於生態系統生物地球化學通量的測量與建模。

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