數(shù)學(xué)模型

內(nèi)容概要

本書內(nèi)容包括建模探索、穩(wěn)定性和分岔、量綱、增長(zhǎng)和松馳、振動(dòng)、隨機(jī)的思想、隨機(jī)過程、復(fù)雜系統(tǒng)、快餐與連鎖類問題、波動(dòng)、擴(kuò)散等。    本書的起點(diǎn)較低，只需要微積分，一些微分方程和矩陣代數(shù)知識(shí)就能閱讀。    與其他大量的數(shù)學(xué)模型教材相比，本書所涉及的數(shù)學(xué)內(nèi)容廣而深，所涉及的實(shí)際問題寬而難，模型與實(shí)際問題結(jié)合十分緊密，能體現(xiàn)數(shù)學(xué)模型教材的發(fā)展趨勢(shì)。

書籍目錄

出版說(shuō)明序Preface1 The Modeling Adventure  1 What Is Modeling?  2 Multiple Models:Shopping Around  3 An Example of the Modeling Process    Free Radical Formation by Ultrasound  4 Approximations  5 Curve Fitting and Parameter Estimation  6 The O(·)and o(·)notation  7 Fourier Transform  8 Problems and Recommended Reading2 Stability and Bifurcation  1 Potentials  2 Bifurcation  3 Catastrophe  4 Problems and Recommended Reading3 Dimensions  1 Dimensions   *Dimensions in Electricity and Magnetism  2 Scaling and Life  3 Dimensional Analysis and the Pi Procedure   *The Pi Theorem   Limitations and Extensions  4 Scale Modeling  5 Problems and Recommended Reading4 Growth and Relaxation5 Vibrations6 Random Thinking7 Random Processes8 Complex Systems9 Snakes and Chains10 Waves11 DiffusionA ElectromagnetismB The SI System of UnitsC Some Physical Properties of MaterialsBibliographyIndex教輔材料申請(qǐng)表

圖書封面

圖書標(biāo)簽Tags

無(wú)

評(píng)論、評(píng)分、閱讀與下載

---

    數(shù)學(xué)模型 PDF格式下載

---