Differential Equations As Models In Science And Engineering

Differential Equations As Models In Science And Engineering
Author: Gregory Richard Baker
Publisher: World Scientific Publishing Company
Total Pages: 391
Release: 2016-07-25
Genre: Mathematics
ISBN: 9814656992

This textbook develops a coherent view of differential equations by progressing through a series of typical examples in science and engineering that arise as mathematical models. All steps of the modeling process are covered: formulation of a mathematical model; the development and use of mathematical concepts that lead to constructive solutions; validation of the solutions; and consideration of the consequences. The volume engages students in thinking mathematically, while emphasizing the power and relevance of mathematics in science and engineering. There are just a few guidelines that bring coherence to the construction of solutions as the book progresses through ordinary to partial differential equations using examples from mixing, electric circuits, chemical reactions and transport processes, among others. The development of differential equations as mathematical models and the construction of their solution is placed center stage in this volume.

Laws and Models

Laws and Models
Author: Carl W. Hall
Publisher: CRC Press
Total Pages: 566
Release: 2018-10-08
Genre: Technology & Engineering
ISBN: 9781420050547

The "laws" that govern our physical universe come in many guises-as principles, theorems, canons, equations, axioms, models, and so forth. They may be empirical, statistical, or theoretical, their names may reflect the person who first expressed them, the person who publicized them, or they might simply describe a phenomenon. However they may be named, the discovery and application of physical laws have formed the backbone of the sciences for 3,000 years. They exist by thousands. Laws and Models: Science, Engineering, and Technology-the fruit of almost 40 years of collection and research-compiles more than 1,200 of the laws and models most frequently encountered and used by engineers and technologists. The result is a collection as fascinating as it is useful. Each entry consists of a statement of the law or model, its date of origin, a one-line biography of the people involved in its formulation, sources of information about the law, and cross-references. Illustrated and highly readable, this book offers a unique presentation of the vast and rich collection of laws that rule our universe. Everyone with an interest in the inner workings of nature-from engineers to students, from teachers to journalists-will find Laws and Models to be not only a handy reference, but an engaging volume to read and browse.

Modelling in Science and Engineering

Modelling in Science and Engineering
Author: Marcus Inácio
Publisher:
Total Pages: 255
Release: 2019-06-21
Genre:
ISBN: 9781795702348

This book gives the reader a brief introduction to the COMSOL Multiphysics software tool. Building COMSOL Multiphysics models in 2D or 3D will help students to consolidate their skills by applying basic theory to the real modelling of tasks that in the recent past would require months of programming and dedicated projects to solve a single problem. The examples illustrated in this book include modelling of heat transfer, the migration of a radioactive species in a channel using the Navier-Stokes equations and a chemical heterogenous reactor. These are problems that tend to be rather abstract until such time as a student applies these fundamental equations in practice. Advanced coupling between phenomena in fields such as electromagnetics with others such as heat transfer and computational fluid flow is made easy in COMSOL Multiphysics. A short introduction to the basics, concepts and techniques will allow the reader to progress rapidly and start developing his/her own models. In the second part of this book, some of the models developed in the first part are used to create model applications that can even run on a mobile phone. About the authors: António de Campos Pereira, PhD. in Physics, is an author and consultant. He is a retired researcher from the Dept. of Physics at Stockholm University. Prof. Isabel Paiva, Ph.D. in Chemical Engeneering, is a researcher at C2TN at IST, the School of Engineering of the University of Lisbon. Marcus Inácio has a B.Sc. in Electrotechnical Engineering and is specialising in the field of Medical Physics at KTH, the Royal Institute of Technology in Stockholm, Sweden. Hugo de Campos Pereira is an environmental engineer from Uppsala University and a Ph.D. student specialising in the sorption of highly fluorinated compounds in soils at the Department of Soil and Environment at SLU, the Swedish University of Agricultural Sciences in Uppsala, Sweden.

Modelling and Simulation in Science, Technology and Engineering Mathematics

Modelling and Simulation in Science, Technology and Engineering Mathematics
Author: Surajit Chattopadhyay
Publisher: Springer
Total Pages: 666
Release: 2018-10-24
Genre: Computers
ISBN: 3319748084

This volume contains the peer-reviewed proceedings of the International Conference on Modelling and Simulation (MS-17), held in Kolkata, India, 4th-5th November 2017, organized by the Association for the Advancement of Modelling and Simulation Techniques in Enterprises (AMSE, France) in association with the Institution of Engineering Technology (IET, UK), Kolkata Network. The contributions contained here showcase some recent advances in modelling and simulation across various aspects of science and technology. This book brings together articles describing applications of modelling and simulation techniques in fields as diverse as physics, mathematics, electrical engineering, industrial electronics, control, automation, power systems, energy and robotics. It includes a special section on mechanical, fuzzy, optical and opto-electronic control of oscillations. It provides a snapshot of the state of the art in modelling and simulation methods and their applications, and will be of interest to researchers and engineering professionals from industry, academia and research organizations.

Data-Driven Science and Engineering

Data-Driven Science and Engineering
Author: Steven L. Brunton
Publisher: Cambridge University Press
Total Pages: 615
Release: 2022-05-05
Genre: Computers
ISBN: 1009098489

A textbook covering data-science and machine learning methods for modelling and control in engineering and science, with Python and MATLAB®.

Numerical Modeling in Materials Science and Engineering

Numerical Modeling in Materials Science and Engineering
Author: Michel Rappaz
Publisher: Springer Science & Business Media
Total Pages: 556
Release: 2002-11-05
Genre: Technology & Engineering
ISBN: 3540426760

Computing application to materials science is one of the fastest-growing research areas. This book introduces the concepts and methodologies related to the modeling of the complex phenomena occurring in materials processing. It is intended for undergraduate and graduate students in materials science and engineering, mechanical engineering and physics, and for engineering professionals or researchers.

Ambitious Science Teaching

Ambitious Science Teaching
Author: Mark Windschitl
Publisher: Harvard Education Press
Total Pages: 455
Release: 2020-08-05
Genre: Education
ISBN: 1682531643

2018 Outstanding Academic Title, Choice Ambitious Science Teaching outlines a powerful framework for science teaching to ensure that instruction is rigorous and equitable for students from all backgrounds. The practices presented in the book are being used in schools and districts that seek to improve science teaching at scale, and a wide range of science subjects and grade levels are represented. The book is organized around four sets of core teaching practices: planning for engagement with big ideas; eliciting student thinking; supporting changes in students’ thinking; and drawing together evidence-based explanations. Discussion of each practice includes tools and routines that teachers can use to support students’ participation, transcripts of actual student-teacher dialogue and descriptions of teachers’ thinking as it unfolds, and examples of student work. The book also provides explicit guidance for “opportunity to learn” strategies that can help scaffold the participation of diverse students. Since the success of these practices depends so heavily on discourse among students, Ambitious Science Teaching includes chapters on productive classroom talk. Science-specific skills such as modeling and scientific argument are also covered. Drawing on the emerging research on core teaching practices and their extensive work with preservice and in-service teachers, Ambitious Science Teaching presents a coherent and aligned set of resources for educators striving to meet the considerable challenges that have been set for them.

Probability Models in Engineering and Science

Probability Models in Engineering and Science
Author: Haym Benaroya
Publisher: CRC Press
Total Pages: 770
Release: 2005-06-24
Genre: Science
ISBN: 9780824723156

Certainty exists only in idealized models. Viewed as the quantification of uncertainties, probabilitry and random processes play a significant role in modern engineering, particularly in areas such as structural dynamics. Unlike this book, however, few texts develop applied probability in the practical manner appropriate for engineers. Probability Models in Engineering and Science provides a comprehensive, self-contained introduction to applied probabilistic modeling. The first four chapters present basic concepts in probability and random variables, and while doing so, develop methods for static problems. The remaining chapters address dynamic problems, where time is a critical parameter in the randomness. Highlights of the presentation include numerous examples and illustrations and an engaging, human connection to the subject, achieved through short biographies of some of the key people in the field. End-of-chapter problems help solidify understanding and footnotes to the literature expand the discussions and introduce relevant journals and texts. This book builds the background today's engineers need to deal explicitly with the scatter observed in experimental data and with intricate dynamic behavior. Designed for undergraduate and graduate coursework as well as self-study, the text's coverage of theory, approximation methods, and numerical methods make it equally valuable to practitioners.

Models and Modeling in Engineering Education

Models and Modeling in Engineering Education
Author:
Publisher: Brill / Sense
Total Pages: 0
Release: 2008
Genre: Engineering
ISBN: 9789087904029

The book describes how incorporating mathematical modeling activities and projects, that are designed to reflect authentic engineering experience, into engineering classes has the potential to enhance and tap the diverse strengths of students who come from a variety of backgrounds.