Ways of Thinking, Ways of Seeing

Mathematical and other Modelling in Engineering and Technology

Author: Chris Bissell,Chris Dillon

Publisher: Springer Science & Business Media

ISBN: 3642252095

Category: Technology & Engineering

Page: 234

View: 6919

This fascinating book examines some of the characteristics of technological/engineering models that are likely to be unfamiliar to those who are interested primarily in the history and philosophy of science and mathematics, and which differentiate technological models from scientific and mathematical ones. Themes that are highlighted include: • the role of language: the models developed for engineering design have resulted in new ways of talking about technological systems • communities of practice: related to the previous point, particular engineering communities have particular ways of sharing and developing knowledge • graphical (re)presentation: engineers have developed many ways of reducing quite complex mathematical models to more simple representations • reification: highly abstract mathematical models are turned into ‘objects’ that can be manipulated almost like components of a physical system • machines: not only the currently ubiquitous digital computer, but also older analogue devices – slide rules, physical models, wind tunnels and other small-scale simulators, as well as mechanical, electrical and electronic analogue computers • mathematics and modelling as a bridging tool between disciplines This book studies primarily modelling in technological practice. It is worth noting that models of the type considered in the book are not always highly valued in formal engineering education at university level, which often takes an “applied science” approach close to that of the natural sciences (something that can result in disaffection on the part of students). Yet in an informal context, such as laboratories, industrial placements, and so on, a very different situation obtains. A number of chapters considers such epistemological aspects, as well as the status of different types of models within the engineering education community. The book will be of interest to practising engineers and technologists; sociologists of science and technology; and historians and philosophers of science and mathematics. It will also be written in a way that will be accessible to non-specialists.

Mathematical Modelling in Science and Technology

The Fourth International Conference, Zurich, Switzerland, August 1983

Author: Xavier J.R. Avula,Rudolf E. Kalman,Anthanasios I. Liapis

Publisher: Elsevier

ISBN: 1483190595

Category: Mathematics

Page: 1022

View: 2502

Mathematical Modelling in Science and Technology: The Fourth International Conference covers the proceedings of the Fourth International Conference by the same title, held at the Swiss Federal Institute of Technology, Zurich, Switzerland on August 15-17, 1983. Mathematical modeling is a powerful tool to solve many complex problems presented by scientific and technological developments. This book is organized into 20 parts encompassing 180 chapters. The first parts present the basic principles, methodology, systems theory, parameter estimation, system identification, and optimization of mathematical modeling. The succeeding parts discuss the features of stochastic and numerical modeling and simulation languages. Considerable parts deal with the application areas of mathematical modeling, such as in chemical engineering, solid and fluid mechanics, water resources, medicine, economics, transportation, and industry. The last parts tackle the application of mathematical modeling in student management and other academic cases. This book will prove useful to researchers in various science and technology fields.

Mathematics in Science and Technology

Mathematical Methods, Models and Algorithms in Science and Technology : Proceedings of the Satellite Conference of ICM 2010, India Habitat Centre & India Islamic Cultural Centre, New Delhi, India, 14-17 August 2010

Author: A. H. Siddiqi,R. C. Singh,Pammy Manchanda

Publisher: World Scientific

ISBN: 9814338818

Category: Mathematics

Page: 536

View: 1251

This unique volume presents reviews of research in several important areas of applications of mathematical concepts to science and technology, for example applications of inverse problems and wavelets to real world systems. The book provides a comprehensive overview of current research of several outstanding scholars engaged in diverse fields such as complexity theory, vertex coupling in quantum graphs, mixing of substances by turbulence, network dynamics and architecture, processes with rate — independent hysteresis, numerical analysis of Hamilton Jacobi — Bellman equations, simulations of complex stochastic differential equations, optimal flow control, shape optimal flow control, shape optimization and aircraft designing, mathematics of brain, nanotechnology and DNA structure and mathematical models of environmental problems. The volume also contains contributory talks based on current researches of comparatively young researchers participating in the conference.

Developing Models in Science Education

Author: J.K. Gilbert,C. Boulter

Publisher: Springer Science & Business Media

ISBN: 9780792367727

Category: Science

Page: 387

View: 9647

Models and modelling play a central role in the nature of science, in its conduct, in the accreditation and dissemination of its outcomes, as well as forming a bridge to technology. They therefore have an important place in both the formal and informal science education provision made for people of all ages. This book is a product of five years collaborative work by eighteen researchers from four countries. It addresses four key issues: the roles of models in science and their implications for science education; the place of models in curricula for major science subjects; the ways that models can be presented to, are learned about, and can be produced by, individuals; the implications of all these for research and for science teacher education. The work draws on insights from the history and philosophy of science, cognitive psychology, sociology, linguistics, and classroom research, to establish what may be done and what is done. The book will be of interest to researchers in science education and to those taking courses of advanced study throughout the world.

Modelling and Mathematics Education

ICTMA 9 - Applications in Science and Technology

Author: J F Matos,S K Houston,W Blum,S P Carreira

Publisher: Elsevier

ISBN: 0857099655

Category: Mathematics

Page: 432

View: 4334

The articles included in this book are from the ICTMA 9 conference held in Lisbon, attended by delegates from about 30 countries. This work records the 1999 Lisbon Conference of ICTMA. It contains the selected and edited content of the conference and makes a significant contribution to mathematical modelling which is the significant investigative preliminary to all scientific and technological applications from machinery to satellites and docking of space-ships. Contains the selected and edited content of the 1999 Lisbon Conference of ICTMA Makes a significant contribution to mathematical modelling, which is the significant investigative preliminary to all scientific and technological applications from machinery to satellites and docking of space-ships

Technological Concepts and Mathematical Models in the Evolution of Modern Engineering Systems

Controlling • Managing • Organizing

Author: Mario Lucertini,Ana Millàn Gasca,Fernando Nicolò

Publisher: Springer Science & Business Media

ISBN: 9783764369408

Category: Mathematics

Page: 246

View: 9850

This collection of historical research studies covers the evolution of technology as knowledge, the emergence of an autonomous engineering science in the Industrial Age, the idea of scientific managment of production and operation systems, and the interaction between mathematical models and technological concepts. The book is published with the support of the UNESCO Venice Office - Regional Office for Science & Technology in Europe as an activity of the Project: The evolution of events, concepts and models in engineering systems.

Stochastic Modelling in Process Technology

Author: Herold G. Dehling,Timo Gottschalk,Alex C. Hoffmann

Publisher: Elsevier

ISBN: 9780080548975

Category: Mathematics

Page: 290

View: 2667

There is an ever increasing need for modelling complex processes reliably. Computational modelling techniques, such as CFD and MD may be used as tools to study specific systems, but their emergence has not decreased the need for generic, analytical process models. Multiphase and multicomponent systems, and high-intensity processes displaying a highly complex behaviour are becoming omnipresent in the processing industry. This book discusses an elegant, but little-known technique for formulating process models in process technology: stochastic process modelling. The technique is based on computing the probability distribution for a single particle's position in the process vessel, and/or the particle's properties, as a function of time, rather than - as is traditionally done - basing the model on the formulation and solution of differential conservation equations. Using this technique can greatly simplify the formulation of a model, and even make modelling possible for processes so complex that the traditional method is impracticable. Stochastic modelling has sporadically been used in various branches of process technology under various names and guises. This book gives, as the first, an overview of this work, and shows how these techniques are similar in nature, and make use of the same basic mathematical tools and techniques. The book also demonstrates how stochastic modelling may be implemented by describing example cases, and shows how a stochastic model may be formulated for a case, which cannot be described by formulating and solving differential balance equations. Introduction to stochastic process modelling as an alternative modelling technique Shows how stochastic modelling may be succesful where the traditional technique fails Overview of stochastic modelling in process technology in the research literature Illustration of the principle by a wide range of practical examples In-depth and self-contained discussions Points the way to both mathematical and technological research in a new, rewarding field

Principles of Mathematical Modelling

Ideas, Methods, Examples

Author: Alexander A. Samarskii,Alexander P. Mikhailov

Publisher: CRC Press

ISBN: 9780415272803

Category: Mathematics

Page: 360

View: 6336

Mathematical modeling is becoming increasingly versatile and multi-disciplinary. This text demonstrates the broadness of this field as the authors consider the principles of model construction and use common approaches to build models from a range of subject areas. The book reflects the interests and experiences of the authors, but it explores mathematical modeling across a wide range of applications, from mechanics to social science. A general approach is adopted, where ideas and examples are favored over rigorous mathematical procedures. This insightful book will be of interest to specialists, teachers, and students across a wide range of disciplines..

Mathematical Modelling

Case Studies and Projects

Author: J. Caldwell,Douglas K.S. Ng

Publisher: Springer Science & Business Media

ISBN: 1402019939

Category: Mathematics

Page: 253

View: 8884

Over the past decade there has been an increasing demand for suitable material in the area of mathematical modelling as applied to science, engineering, business and management. Recent developments in computer technology and related software have provided the necessary tools of increasing power and sophistication which have significant implications for the use and role of mathematical modelling in the above disciplines. In the past, traditional methods have relied heavily on expensive experimentation and the building of scaled models, but now a more flexible and cost effective approach is available through greater use of mathematical modelling and computer simulation. In particular, developments in computer algebra, symbolic manipulation packages and user friendly software packages for large scale problems, all have important implications in both the teaching of mathematical modelling and, more importantly, its use in the solution of real world problems. Many textbooks have been published which cover the art and techniques of modelling as well as specific mathematical modelling techniques in specialist areas within science and business. In most of these books the mathematical material tends to be rather tailor made to fit in with a one or two semester course for teaching students at the undergraduate or postgraduate level, usually the former. This textbook is quite different in that it is intended to build on and enhance students’ modelling skills using a combination of case studies and projects.

Mathematical Models in Natural Science and Engineering

An Example-Based Approach

Author: I︠U︡riĭ Isaakovich Neĭmark,Juri I. Neimark

Publisher: Springer Science & Business Media

ISBN: 9783540436805

Category: Computers

Page: 570

View: 1801

This book helps the reader become familiar with various mathematical models for mechanical, electrical, physical, atronomical, chemical, biological, ecological, cybernetical and other systems and processes. The models examined are evolutionary models, i.e. the models of time-varying processes known as dynamic systems, such as fluid flow, biological processes, oscillations in mechanical and electromagnetic systems, and social systems. The book shows readers how to identify appropriate situations for modelling, how to address difficulties in creating models, and how to learn what mathematics teaches us about the modelling of dynamical phenomena in our surrounding world.It is interesting for a wide spectrum of readers, students of natural science and engineering, and also for researchers in these fields.

Mathematical Modelling

A Way of Life - ICTMA 11

Author: S J Lamon,W A Parker,S K Houston

Publisher: Elsevier

ISBN: 085709954X

Category: Mathematics

Page: 288

View: 3412

Mathematical modelling is often spoken of as a way of life, referring to habits of mind and to dependence on the power of mathematics to describe, explain, predict and control real phenomena. This book aims to encourage teachers to provide opportunities for students to model a variety of real phenomena appropriately matched to students’ mathematical backgrounds and interests from early stages of mathematical education. Habits, misconceptions, and mindsets about mathematics can present obstacles to university students’ acceptance of a ‘‘models-and-modelling perspective’’ at this stage of mathematics education. Without prior experience in building, interpreting and applying mathematical models, many students may never come to view and regard modelling as a way of life. The book records presentations at the ICTMA 11 conference held in Milwaukee, Wisconsin in 2003. Examines mathematical modelling as a way of life, referring to habits of mind and dependence on the power of mathematics to describe, explain, predict and control real phenomena Encourages teachers to provide students with opportunities to model a variety of real phenomena appropriately matched to students’ mathematical backgrounds and interests from early stages of mathematical education Records presentations at the ICTMA 11 conference held in Milwaukee, Wisconsin in 2003

Mathematical Modeling of Food Processing

Author: Mohammed M. Farid

Publisher: CRC Press

ISBN: 9781420053548

Category: Technology & Engineering

Page: 999

View: 8814

Written by international experts from industry, research centers, and academia, Mathematical Modeling of Food Processing discusses the physical and mathematical analysis of transport phenomena associated with food processing. The models presented describe many of the important physical and biological transformations that occur in food during processing. After introducing the fundamentals of heat, mass, and momentum transfer as well as computational fluid dynamics (CFD), the book focuses on specialized topics in food processing. It covers thermal, low temperature, non-thermal, and non-conventional thermal processing, along with the analysis of biological and enzyme reactors. The book also explores the use of artificial neural networks, exergy analysis, process control, and cleaning-in-place (CIP) systems in industry. With the availability of high speed computers and advances in computational techniques, the application of mathematical modeling in food science and engineering is growing. This comprehensive volume provides up-to-date, wide-ranging material on the mathematical analysis of transport phenomena in food.

Topics in Engineering Mathematics

Modelling and Methods

Author: A. H. P. van der Burgh,Adriaan Herman Pieter van der Burgh,Adriaan van der Burgh,Juriaan Simonis

Publisher: Springer Science & Business Media

ISBN: 9780792320050

Category: Mathematics

Page: 265

View: 568

Presents a selection of expository papers on various topics in engineering mathematics. The papers concern model problems relating to, amongst others, the automobile and shipping industries, transportation networks and wave propagation.

Mathematical Modeling In Geographical Information System (gis) & Gps An Overview

Author: Hari Shanker Sharma,Rama Prasad And P.R. Binda

Publisher: Concept Publishing Company

ISBN: 9788180693427

Category: Digital mapping

Page: 424

View: 2163

"Papers presented at the Training Programme on Mathematical Modelling in GIS/GPS and Digital Cartography, held at Jaipur during 1st February to 2nd March 2005".--[Source inconnue].

A Mathematical Approach to Research Problems of Science and Technology

Theoretical Basis and Developments in Mathematical Modeling

Author: Ryuei Nishii,Shin-ichiro Ei,Miyuki Koiso,Hiroyuki Ochiai,Kanzo Okada,Shingo Saito,Tomoyuki Shirai

Publisher: Springer

ISBN: 4431550607

Category: Mathematics

Page: 507

View: 8068

This book deals with one of the most novel advances in mathematical modeling for applied scientific technology, including computer graphics, public-key encryption, data visualization, statistical data analysis, symbolic calculation, encryption, error correcting codes, and risk management. It also shows that mathematics can be used to solve problems from nature, e.g., slime mold algorithms. One of the unique features of this book is that it shows readers how to use pure and applied mathematics, especially those mathematical theory/techniques developed in the twentieth century, and developing now, to solve applied problems in several fields of industry. Each chapter includes clues on how to use "mathematics" to solve concrete problems faced in industry as well as practical applications. The target audience is not limited to researchers working in applied mathematics and includes those in engineering, material sciences, economics, and life sciences.

Mathematical Modeling in Nutrition and the Health Sciences

Author: Janet A. Novotny,Michael H. Green,Ray C. Boston

Publisher: Springer Science & Business Media

ISBN: 9780306478819

Category: Computers

Page: 420

View: 8552

This volume is the proceedings of the 7th Mathematical Modeling in Experimental Nutrition Conference held at Penn State University July 29 until August 1, 2000. The book addresses the determination of optimal intakes of nutrients and food components to provide lifelong health and reduce incidence of disease. Mathematical modelling provides a means of rigorously defining the functions of a system and using a variety of conditions to stimulate responses. This volume presents the newest advances in modelling and related experimental techniques required to meet the new challenges currently facing nutrition and biological science.

Mathematik und Technologie

Author: Christiane Rousseau,Yvan Saint-Aubin

Publisher: Springer-Verlag

ISBN: 3642300928

Category: Mathematics

Page: 609

View: 2112

Zusammen mit der Abstraktion ist die Mathematik das entscheidende Werkzeug für technologische Innovationen. Das Buch bietet eine Einführung in zahlreiche Anwendungen der Mathematik auf dem Gebiet der Technologie. Meist werden moderne Anwendungen dargestellt, die heute zum Alltag gehören. Die mathematischen Grundlagen für technologische Anwendungen sind dabei relativ elementar, was die Leistungsstärke der mathematischen Modellbildung und der mathematischen Hilfsmittel beweist. Mit zahlreichen originellen Übungen am Ende eines jeden Kapitels.