Mathematical Modeling: A Dynamical Systems Approach to Analyze Practical Problems in Stem Disciplines

Palacios, Antonio

Mathematical Modeling: A Dynamical Systems Approach to Analyze Practical Problems in Stem Disciplines
  • 出版商: Springer
  • 出版日期: 2023-09-20
  • 售價: $3,920
  • 貴賓價: 9.5 折 $3,724
  • 語言: 英文
  • 頁數: 564
  • 裝訂: Quality Paper - also called trade paper
  • ISBN: 3031047311
  • ISBN-13: 9783031047312

    • 海外代購書籍(需單獨結帳)

商品描述

This book provides qualitative and quantitative methods to analyze and better understand phenomena that change in space and time. An innovative approach is to incorporate ideas and methods from dynamical systems and equivariant bifurcation theory to model, analyze and predict the behavior of mathematical models. In addition, real-life data is incorporated in the derivation of certain models. For instance, the model for a fluxgate magnetometer includes experiments in support of the model.

The book is intended for interdisciplinary scientists in STEM fields, who might be interested in learning the skills to derive a mathematical representation for explaining the evolution of a real system. Overall, the book could be adapted in undergraduate- and postgraduate-level courses, with students from various STEM fields, including: mathematics, physics, engineering and biology.

商品描述(中文翻譯)

本書提供定性和定量的方法，以分析和更好地理解隨時間和空間變化的現象。一種創新的方法是將動態系統和等變分岔理論的思想和方法納入，以建模、分析和預測數學模型的行為。此外，某些模型的推導中也納入了現實數據。例如，磁通門磁力計的模型包括支持該模型的實驗。

本書旨在為STEM領域的跨學科科學家提供學習技能，以推導數學表達式來解釋真實系統的演變。總體而言，本書可適用於本科和研究生課程，適合來自數學、物理、工程和生物等各個STEM領域的學生。

作者簡介

Antonio Palacios received his Ph.D. in Mathematics at Arizona State University under the guidance of Prof. Dieter Armbruster. He was a postdoctoral fellow in Physics at the University of Houston under the guidance of Prof. Michael Gorman and then in Mathematics under the supervision of Prof. Marty Golubitsky. He joined the Math Department at San Diego State University in 1999 and has been a full professor since 2008. His research interests are in modeling complex nonlinear systems. In particular, multidisciplinary nonlinear systems that interface with Biology, Engineering, and Physics. Over the past twenty years he has been collaborating with the Applied Chaos and Dynamics Group at the Space and Naval Warfare (SPAWAR) Center, San Diego to design and fabricate innovative technologies. Prof. Palacios's publications reflect a dual interest in Applied Mathematics and Engineering, linked through ideas and methods from the theory of Nonlinear Dynamical Systems. He holds thirteen approved U.S. Patents and two more pending.

作者簡介(中文翻譯)

Antonio Palacios 在亞利桑那州立大學獲得數學博士學位，指導教授為 Dieter Armbruster 教授。他曾在休士頓大學擔任物理學的博士後研究員，指導教授為 Michael Gorman 教授，隨後在數學領域的博士後研究中由 Marty Golubitsky 教授指導。他於1999年加入聖地牙哥州立大學的數學系，自2008年起擔任正教授。他的研究興趣集中在複雜非線性系統的建模，特別是與生物學、工程學和物理學交叉的多學科非線性系統。在過去的二十年中，他與聖地牙哥的太空與海軍作戰中心（SPAWAR）的應用混沌與動力學小組合作，設計和製造創新技術。Palacios 教授的出版物反映了他在應用數學和工程學方面的雙重興趣，這兩者通過非線性動力系統理論中的思想和方法相互聯繫。他擁有十三項已獲批准的美國專利，還有兩項正在審核中。

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