T.S. Kuhn and Social Science

Politics & Social Sciences

Barnes, B.

Social Sciences

Columbia Univ. Pr.

Certain basic modeling skills can be applied to a wide variety of problems. It focuses on those mathematical techniques which are applicable to models involving differential equations. Models in three different areas are considered: growth and decay process, interacting populations and heating/cooling problems. The main mathematical technique is solving differential equations, while the range of applications and mathematical techniques presented provides a broad appreciation of this type of modeling. This book contains three general sections: Compartmental Models, Population Models and Heat Transfer Models. Within each section, the process of constructing a model is presented in full detail. Applications and case studies are integral to this text, and case studies are included throughout. This is a useful course text, and basic calculus and fundamental computing skills are required.

Mathematical Modelling with Case Studies: A Differential Equations Approach using Maple and MATLAB, Second Edition (Textbooks in Mathematics)

Science & Math

Fulford, G.R.

Mathematics

CRC-Press

This is a book about science. Nobody will learn any science by reading it but they will discover something about science and its place in modern society.\nThe study of natural sciences at school level is largely confined to acquiring basic facts and research techniques. This book will help students pursuing their interest in science to make the leap to the more critical, questioning, imaginative approach that is demanded at higher levels.\nWith a combination of criticism and inspiration, wit and example, Batty Barnes conveys fresh and stimulating insights into scientific thought and knowledge. He introduces the reader to new models, images and methods which will enable him or her to appreciate the complex interplay between invention and ideology, authority and institutions, that shapes modern science.

About Science

Blackwell*publishers

Mathematical Modelling with Case Studies (Textbooks in Mathematics)

Chapman and Hall/CRC

Focusing on growth and decay processes, interacting populations, and heating/cooling problems, Mathematical Modelling with Case Studies: A Differential Equations Approach using Maple™ and MATLAB®, Second Edition presents mathematical techniques applicable to models involving differential equations that describe rates of change. Although the authors concentrate on models involving differential equations, the ideas used can be applied to many other areas. The book carefully details the process of constructing a model, including the conversion of a seemingly complex problem into a much simpler one. It uses flow diagrams and word equations to aid in the model building process and to develop the mathematical equations. Employing theoretical, graphical, and computational tools, the authors analyze the behavior of the models under changing conditions. They discuss the validation of the models and suggest extensions to the models with an emphasis on recognizing the strengths and limitations of each model. Through applications and the tools of Maple™ and MATLAB®, this textbook provides hands-on model building skills. It develops, extends, and improves simple models as well as interprets the results.

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