What Are The Fundamentals Of Science


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Fundamentals of Scientific Computing


Fundamentals of Scientific Computing

Author: Bertil Gustafsson

language: en

Publisher: Springer Science & Business Media

Release Date: 2011-06-11


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The book of nature is written in the language of mathematics -- Galileo Galilei How is it possible to predict weather patterns for tomorrow, with access solely to today’s weather data? And how is it possible to predict the aerodynamic behavior of an aircraft that has yet to be built? The answer is computer simulations based on mathematical models – sets of equations – that describe the underlying physical properties. However, these equations are usually much too complicated to solve, either by the smartest mathematician or the largest supercomputer. This problem is overcome by constructing an approximation: a numerical model with a simpler structure can be translated into a program that tells the computer how to carry out the simulation. This book conveys the fundamentals of mathematical models, numerical methods and algorithms. Opening with a tutorial on mathematical models and analysis, it proceeds to introduce the most important classes of numerical methods, with finite element, finite difference and spectral methods as central tools. The concluding section describes applications in physics and engineering, including wave propagation, heat conduction and fluid dynamics. Also covered are the principles of computers and programming, including MATLAB®.

Fundamentals of Soft Matter Science


Fundamentals of Soft Matter Science

Author: Linda S. Hirst

language: en

Publisher: CRC Press

Release Date: 2019-08-09


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This revised edition continues to provide the most approachable introduction to the structure, characteristics, and everyday applications of soft matter. It begins with a substantially revised overview of the underlying physics and chemistry common to soft materials. Subsequent chapters comprehensively address the different classes of soft materials, from liquid crystals to surfactants, polymers, colloids, and biomaterials, with vivid, full-color illustrations throughout. There are new worked examples throughout, new problems, some deeper mathematical treatment, and new sections on key topics such as diffusion, active matter, liquid crystal defects, surfactant phases and more. • Introduces the science of soft materials, experimental methods used in their study, and wide-ranging applications in everyday life. • Provides brand new worked examples throughout, in addition to expanded chapter problem sets and an updated glossary. • Includes expanded mathematical content and substantially revised introductory chapters. This book will provide a comprehensive introductory resource to both undergraduate and graduate students discovering soft materials for the first time and is aimed at students with an introductory college background in physics, chemistry or materials science.

Fundamentals of Ecosystem Science


Fundamentals of Ecosystem Science

Author: Kathleen C. Weathers

language: en

Publisher: Academic Press

Release Date: 2012-12-31


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Fundamentals of Ecosystem Science provides a compact and comprehensive introduction to modern ecosystem science. This book covers major concepts of ecosystem science, biogeochemistry, and energetics. It addresses, contrasts, and compares both terrestrial and aquatic ecosystems. It combines general lessons, concepts, frameworks, and challenges in highly accessible synthesis chapters. It presents firsthand case studies, written by leaders in the field, offering personal insights into how adopting an ecosystem approach led to innovations, new understanding, management changes, and policy solutions. This book is ideal for advanced undergraduate and graduate students who have had a general biology course, but not further training in ecosystems as well as researchers and professionals in ecology and environmental sciences. - Addresses, contrasts, and compares both terrestrial and aquatic ecosystems - Combines general lessons, concepts, frameworks, and challenges in highly accessible synthesis chapters - Presents firsthand case studies, written by leaders in the field, offering personal insights into how adopting an ecosystem approach led to innovations, new understanding, management changes, and policy solutions