Mathematical Modeling and Simulation: Introduction for Scientists and Engineers (Paperback)

Kai Velten

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商品描述

This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra - all other concepts and ideas are developed in the course of the book. Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail.

Based on the author`s modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation?

The book relies exclusively upon open-source software which is available to everybody free of charge. The entire book software - including 3D CFD and structural mechanics simulation software - can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems).

商品描述(中文翻譯)

這本簡明而清晰的介紹書籍只需要基本的微積分和線性代數知識,其他概念和想法都在書中逐步發展。以易懂的文字撰寫,既適合本科生,也適合從業人員,讀者能夠自行建立簡單的數學模型並批判性地解釋自己和他人的結果。為了達到這一目的,書中選擇了許多來自生物學、生態學、經濟學、醫學、農業、化學、電氣、機械和工程等各個領域的例子,並對其進行詳細討論。

本書基於作者在科學和工程領域的建模和模擬經驗以及作為顧問的經驗,回答了一些基本問題,例如:什麼是數學模型?有哪些類型的模型?哪種模型適用於特定問題?什麼是模擬、參數估計和驗證?

本書完全依賴於開源軟件,這些軟件對所有人都免費提供。整本書的軟件,包括3D CFD和結構力學模擬軟件,都可以使用免費的CAELinux-Live-DVD來使用,該DVD可以在網絡上獲得(適用於大多數計算機和操作系統)。