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Methods of Mathematical Modelling

2015-09-18 Mathematics
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Release : 2015-09-18
Genre : Mathematics
Kind : eBook
Book Rating : 425/5 ( reviews)

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Book Synopsis Methods of Mathematical Modelling by : Thomas Witelski

Download or read book Methods of Mathematical Modelling written by Thomas Witelski. This book was released on 2015-09-18. Available in PDF, EPUB and Kindle. Book excerpt: This book presents mathematical modelling and the integrated process of formulating sets of equations to describe real-world problems. It describes methods for obtaining solutions of challenging differential equations stemming from problems in areas such as chemical reactions, population dynamics, mechanical systems, and fluid mechanics. Chapters 1 to 4 cover essential topics in ordinary differential equations, transport equations and the calculus of variations that are important for formulating models. Chapters 5 to 11 then develop more advanced techniques including similarity solutions, matched asymptotic expansions, multiple scale analysis, long-wave models, and fast/slow dynamical systems. Methods of Mathematical Modelling will be useful for advanced undergraduate or beginning graduate students in applied mathematics, engineering and other applied sciences.

Mathematical Modelling Techniques

1994-01-01 Technology & Engineering
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Release : 1994-01-01
Genre : Technology & Engineering
Kind : eBook
Book Rating : 313/5 ( reviews)

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Book Synopsis Mathematical Modelling Techniques by : Rutherford Aris

Download or read book Mathematical Modelling Techniques written by Rutherford Aris. This book was released on 1994-01-01. Available in PDF, EPUB and Kindle. Book excerpt: "Engaging, elegantly written." — Applied Mathematical Modelling. A distinguished theoretical chemist and engineer discusses the types of models — finite, statistical, stochastic, and more — as well as how to formulate and manipulate them for best results. Filled with numerous examples, the book includes three appendices offering further examples treated in more detail.

Methods of Mathematical Modelling

2019-09-17 Mathematics
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Release : 2019-09-17
Genre : Mathematics
Kind : eBook
Book Rating : 788/5 ( reviews)

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Book Synopsis Methods of Mathematical Modelling by : Harendra Singh

Download or read book Methods of Mathematical Modelling written by Harendra Singh. This book was released on 2019-09-17. Available in PDF, EPUB and Kindle. Book excerpt: This book features original research articles on the topic of mathematical modelling and fractional differential equations. The contributions, written by leading researchers in the field, consist of chapters on classical and modern dynamical systems modelled by fractional differential equations in physics, engineering, signal processing, fluid mechanics, and bioengineering, manufacturing, systems engineering, and project management. The book offers theory and practical applications for the solutions of real-life problems and will be of interest to graduate level students, educators, researchers, and scientists interested in mathematical modelling and its diverse applications. Features Presents several recent developments in the theory and applications of fractional calculus Includes chapters on different analytical and numerical methods dedicated to several mathematical equations Develops methods for the mathematical models which are governed by fractional differential equations Provides methods for models in physics, engineering, signal processing, fluid mechanics, and bioengineering Discusses real-world problems, theory, and applications

Methods of Mathematical Modelling and Computation for Complex Systems

2021-08-26 Technology & Engineering
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Release : 2021-08-26
Genre : Technology & Engineering
Kind : eBook
Book Rating : 695/5 ( reviews)

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Book Synopsis Methods of Mathematical Modelling and Computation for Complex Systems by : Jagdev Singh

Download or read book Methods of Mathematical Modelling and Computation for Complex Systems written by Jagdev Singh. This book was released on 2021-08-26. Available in PDF, EPUB and Kindle. Book excerpt: This book contains several contemporary topics in the areas of mathematical modelling and computation for complex systems. The readers find several new mathematical methods, mathematical models and computational techniques having significant relevance in studying various complex systems. The chapters aim to enrich the understanding of topics presented by carefully discussing the associated problems and issues, possible solutions and their applications or relevance in other scientific areas of study and research. The book is a valuable resource for graduate students, researchers and educators in understanding and studying various new aspects associated with complex systems. Key Feature • The chapters include theory and application in a mix and balanced way. • Readers find reasonable details of developments concerning a topic included in this book. • The text is emphasized to present in self-contained manner with inclusion of new research problems and questions.

An Introduction to Mathematical Modeling

2012-05-23 Mathematics
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Release : 2012-05-23
Genre : Mathematics
Kind : eBook
Book Rating : 120/5 ( reviews)

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Book Synopsis An Introduction to Mathematical Modeling by : Edward A. Bender

Download or read book An Introduction to Mathematical Modeling written by Edward A. Bender. This book was released on 2012-05-23. Available in PDF, EPUB and Kindle. Book excerpt: Employing a practical, "learn by doing" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields — including science, engineering, and operations research — to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. The lively and accessible text requires only minimal scientific background. Designed for senior college or beginning graduate-level students, it assumes only elementary calculus and basic probability theory for the first part, and ordinary differential equations and continuous probability for the second section. All problems require students to study and create models, encouraging their active participation rather than a mechanical approach. Beyond the classroom, this volume will prove interesting and rewarding to anyone concerned with the development of mathematical models or the application of modeling to problem solving in a wide array of applications.

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