Introduction to Mathematical Modeling and Computer Simulations is written as a textbook for readers who want to understand the main principles of Modeling and Simulations in settings that are important for the applications, without using the profound mathematical tools required by most advanced texts. It can be particularly useful for applied mathematicians and engineers who are just beginning their careers. The goal of this book is to outline Mathematical Modeling using simple mathematical descriptions, making it accessible for first- and second-year students.

Chapter 1 and the Preface of this book is freely available as a downloadable Open Access PDF under a Creative Commons Attribution-Non Commercial-No Derivatives 4.0 license available at https://www.taylorfrancis.com/books/e/9781315277240

part 1|41 pages

General Principles and Methods

chapter 1|24 pages

Principles of Mathematical Modeling

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chapter 2|15 pages

Numerical and symbolic computations

part 2|88 pages

Basic Applications

chapter 5|19 pages

Stochastic models

chapter 6|18 pages

One-dimensional stationary problems

part 3|85 pages

Advanced Applications

chapter 7|30 pages

Vector analysis

chapter 8|29 pages

Heat equations

chapter 9|23 pages

Asymptotic methods in composites