Foundations Of Mathematical Modelling For Engineering Problem Solving
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Foundations of Mathematical Modelling for Engineering Problem Solving
Author: Parikshit Narendra Mahalle
language: en
Publisher: Springer Nature
Release Date: 2023-01-10
This book aims at improving the mathematical modelling skills of users by enhancing the ability to understand, connect, apply and use the mathematical concepts to the problem at hand. This book provides the readers with an in-depth knowledge of the various categories/classes of research problems that professionals, researchers and students might encounter following which the applications of appropriate mathematical models is explained with the help of case studies. The book is targeted at academicians, researchers, students and professionals who belong to all engineering disciplines.
Principles of Mathematical Modeling
This book provides a readable and informative introduction to the development and application of mathematical models in science and engineering. The first half of the book begins with a clearly defined set of modeling principles, and then introduces a set of foundational tools (dimensional analysis, scaling techniques, and approximation and validation techniques). The second half then applies these foundational tools to a broad variety of subjects, including exponenttial growth and decay in fields ranging from biology to economics, traffic flow, free and forced vibration of mechanical and other systems, and optimization problems in biology, structures, and social decision making. An extensive collection of more than 360 problems offer ample opportunity in both a formal course and for the individual reader. (Midwest).
Designing Environments for Constructive Learning
Author: Thomas M. Duffy
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
The idea for this book grew out of a NATO Advanced Research Workshop held at the Catholic University at Leuven, Belgium. We are grateful to NATO for support in conducting this workshop and for support in the preparation of this book. We are particularly grateful for their emphasis on designing the workshop to build collegiality. They suggested that we hold the meeting in a small town and that we organize evening activities to keep the group together and to promote informal and extended discussions. What sage advice. The excitement grew over the three days as we shared understandings and enriched our perspectives. Indeed, there was even a proclaimed "near" conversion to a constructivist perspective from one colleague trained in traditional instructional design methods. While we report this as a bit of a humorous anecdote, it most clearly reflects the sense of excitement that developed. We would also like to thank the staff at the Catholic University for their great support during the workshop. Their efforts and their good cheer were important components in the success of the meeting. In particular we would like to thank Jan Elen, Catherine Vermunicht and Jef Vanden Branden. Finally we would like to thank the personnel at Indiana University for their help in assembling this book. Deborah Shaw prepared the index. We thank her for the skill and speed with which she was able to work.