Modelling and Applications in Mathematics Education

Modelling and Applications in Mathematics Education
Author: Peter L. Galbraith,Hans-Wolfgang Henn,Mogens Niss
Publsiher: Springer Science & Business Media
Total Pages: 523
Release: 2007-12-05
ISBN: 0387298223
Category: Education
Language: EN, FR, DE, ES & NL

Modelling and Applications in Mathematics Education Book Excerpt:

The book aims at showing the state-of-the-art in the field of modeling and applications in mathematics education. This is the first volume to do this. The book deals with the question of how key competencies of applications and modeling at the heart of mathematical literacy may be developed; with the roles that applications and modeling may play in mathematics teaching, making mathematics more relevant for students.

Mathematical Modelling

Mathematical Modelling
Author: J. Caldwell,Y.M. Ram
Publsiher: Springer Science & Business Media
Total Pages: 288
Release: 2013-06-29
ISBN: 9401722013
Category: Mathematics
Language: EN, FR, DE, ES & NL

Mathematical Modelling Book Excerpt:

Over the past decade there has been an increasing demand for suitable material in the area of mathematical modelling as applied to science and engineering. There has been a constant movement in the emphasis from developing proficiency in purely mathematical techniques to an approach which caters for industrial and scientific applications in emerging new technologies. In this textbook we have attempted to present the important fundamental concepts of mathematical modelling and to demonstrate their use in solving certain scientific and engineering problems. This text, which serves as a general introduction to the area of mathematical modelling, is aimed at advanced undergraduate students in mathematics or closely related disciplines, e.g., students who have some prerequisite knowledge such as one-variable calculus, linear algebra and ordinary differential equations. Some prior knowledge of computer programming would be useful but is not considered essential. The text also contains some more challenging material which could prove attractive to graduate students in engineering or science who are involved in mathematical modelling. In preparing the text we have tried to use our experience of teaching mathematical modelling to undergraduate students in a wide range of areas including mathematics and computer science and disciplines in engineering and science. An important aspect of the text is the use made of scientific computer software packages such as MAPLE for symbolic algebraic manipulations and MA TLAB for numerical simulation.

Mathematical Modelling and Numerical Methods in Finance

Mathematical Modelling and Numerical Methods in Finance
Author: Anonim
Publsiher: Elsevier
Total Pages: 684
Release: 2009-06-16
ISBN: 0080931006
Category: Mathematics
Language: EN, FR, DE, ES & NL

Mathematical Modelling and Numerical Methods in Finance Book Excerpt:

Mathematical finance is a prolific scientific domain in which there exists a particular characteristic of developing both advanced theories and practical techniques simultaneously. Mathematical Modelling and Numerical Methods in Finance addresses the three most important aspects in the field: mathematical models, computational methods, and applications, and provides a solid overview of major new ideas and results in the three domains. Coverage of all aspects of quantitative finance including models, computational methods and applications Provides an overview of new ideas and results Contributors are leaders of the field

Mathematical Modelling of Haemodialysis

Mathematical Modelling of Haemodialysis
Author: Leszek Pstras,Jacek Waniewski
Publsiher: Springer
Total Pages: 156
Release: 2019-07-03
ISBN: 3030214109
Category: Medical
Language: EN, FR, DE, ES & NL

Mathematical Modelling of Haemodialysis Book Excerpt:

Beginning with an introduction to kidney function, renal replacement therapies, and an overview of clinical problems associated with haemodialysis, this book explores the principles of the short-term baroreflex regulation of the cardiovascular system and the mechanisms of water and solute transport across the human body from a mathematical model perspective. It synthesizes theoretical physiological concepts and practical aspects of mathematical modelling needed for simulation and quantitative analysis of the haemodynamic response to dialysis therapy. Including an up-to-date review of the literature concerning the modelled physiological mechanisms and processes, the book serves both as an overview of transport and regulatory mechanisms related to the cardiovascular system and body fluids and as a useful reference for the study and development of mathematical models of dynamic physiological processes. Mathematical Modelling of Haemodialysis: Cardiovascular Response, Body Fluid Shifts, and Solute Kinetics is intended for researchers and graduate students in biomedical engineering, physiology, or medicine interested in mathematical modelling of cardiovascular dynamics and fluid and solute transport across the human body, both under physiological conditions and during haemodialysis therapy.

Mathematical Modelling of Physical Systems

Mathematical Modelling of Physical Systems
Author: Michel Cessenat
Publsiher: Springer
Total Pages: 505
Release: 2018-10-26
ISBN: 3319947583
Category: Mathematics
Language: EN, FR, DE, ES & NL

Mathematical Modelling of Physical Systems Book Excerpt:

Comprehensive and thorough, this monograph emphasizes the main role differential geometry and convex analysis play in the understanding of physical, chemical, and mechanical notions. Central focus is placed on specifying the agreement between the functional framework and its physical necessity and on making clear the intrinsic character of physical elements, independent from specific charts or frames. The book is divided into four sections, covering thermostructure, classical mechanics, fluid mechanics modelling, and behavior laws. An extensive appendix provides notations and definitions as well as brief explanation of integral manifolds, symplectic structure, and contact structure. Plenty of examples are provided throughout the book, and reviews of basic principles in differential geometry and convex analysis are presented as needed. This book is a useful resource for graduate students and researchers in the field.

Mathematical Modelling of Immune Response in Infectious Diseases

Mathematical Modelling of Immune Response in Infectious Diseases
Author: Guri I. Marchuk
Publsiher: Springer Science & Business Media
Total Pages: 350
Release: 2013-04-17
ISBN: 9401587981
Category: Mathematics
Language: EN, FR, DE, ES & NL

Mathematical Modelling of Immune Response in Infectious Diseases Book Excerpt:

Beginning his work on the monograph to be published in English, this author tried to present more or less general notions of the possibilities of mathematics in the new and rapidly developing science of infectious immunology, describing the processes of an organism's defence against antigen invasions. The results presented in this monograph are based on the construc tion and application of closed models of immune response to infections which makes it possible to approach problems of optimizing the treat ment of chronic and hypertoxic forms of diseases. The author, being a mathematician, had creative long-Iasting con tacts with immunologists, geneticist, biologists, and clinicians. As far back as 1976 it resulted in the organization of a special seminar in the Computing Center of Siberian Branch of the USSR Academy of Sci ences on mathematical models in immunology. The seminar attracted the attention of a wide circle of leading specialists in various fields of science. All these made it possible to approach, from a more or less united stand point, the construction of models of immune response, the mathematical description of the models, and interpretation of results.

Mathematical Modelling and Biomechanics of the Brain

Mathematical Modelling and Biomechanics of the Brain
Author: Corina Drapaca,Siv Sivaloganathan
Publsiher: Springer Nature
Total Pages: 155
Release: 2019-09-06
ISBN: 1493998102
Category: Mathematics
Language: EN, FR, DE, ES & NL

Mathematical Modelling and Biomechanics of the Brain Book Excerpt:

This monograph aims to provide a rigorous yet accessible presentation of some fundamental concepts used in modeling brain mechanics and give a glimpse of the insights and advances that have arisen as a result of the nascent interaction of the mathematical and neurosurgical sciences. It begins with some historical perspective and a brief synopsis of the biomedical/biological manifestations of the clinical conditions/diseases considered. Each chapter proceeds with a discussion of the various mathematical models of the problems considered, starting with the simplest models and proceeding to more complex models where necessary. A detailed list of relevant references is provided at the end of each chapter. With the beginning research student in mind, the chapters have been crafted to be as self-contained as possible while addressing different clinical conditions and diseases. The book is intended as a brief introduction to both theoreticians and experimentalists interested in brain mechanics, with directions and guidance for further reading, for those who wish to pursue particular topics in greater depth. It can also be used as a complementary textbook in a graduate level course for neuroscientists and neuroengineers.

A Concrete Approach to Mathematical Modelling

A Concrete Approach to Mathematical Modelling
Author: Mike Mesterton-Gibbons
Publsiher: John Wiley & Sons
Total Pages: 620
Release: 2011-02-14
ISBN: 1118030648
Category: Mathematics
Language: EN, FR, DE, ES & NL

A Concrete Approach to Mathematical Modelling Book Excerpt:

WILEY-INTERSCIENCE PAPERBACK SERIES The Wiley-Interscience Paperback Series consists ofselected books that have been made more accessible to consumers inan effort to increase global appeal and general circulation. Withthese new unabridged softcover volumes, Wiley hopes to extend thelives of these works by making them available to future generationsof statisticians, mathematicians, and scientists. " . . . [a] treasure house of material for students and teachersalike . . . can be dipped into regularly for inspiration and ideas.It deserves to become a classic." —London Times Higher Education Supplement "The author succeeds in his goal of serving the needs of theundergraduate population who want to see mathematics in action, andthe mathematics used is extensive and provoking." —SIAM Review "Each chapter discusses a wealth of examples ranging from oldstandards . . . to novelty . . . each model is developedcritically, analyzed critically, and assessed critically." —Mathematical Reviews A Concrete Approach to Mathematical Modelling providesin-depth and systematic coverage of the art and science ofmathematical modelling. Dr. Mesterton-Gibbons shows how themodelling process works and includes fascinating examples fromvirtually every realm of human, machine, natural, and cosmicactivity. Various models are found throughout the book, includinghow to determine how fast cars drive through a tunnel, how manyworkers industry should employ, the length of a supermarketcheckout line, and more. With detailed explanations, exercises, andexamples demonstrating real-life applications in diverse fields,this book is the ultimate guide for students and professionals inthe social sciences, life sciences, engineering, statistics,economics, politics, business and management sciences, and everyother discipline in which mathematical modelling plays a role.

Mathematical Modelling Applied Analysis and Computation

Mathematical Modelling  Applied Analysis and Computation
Author: Jagdev Singh,Devendra Kumar,Hemen Dutta,Dumitru Baleanu,Sunil Dutt Purohit
Publsiher: Springer Nature
Total Pages: 311
Release: 2019-08-31
ISBN: 9811396086
Category: Mathematics
Language: EN, FR, DE, ES & NL

Mathematical Modelling Applied Analysis and Computation Book Excerpt:

This book contains original research papers presented at the International Conference on Mathematical Modelling, Applied Analysis and Computation, held at JECRC University, Jaipur, India, on 6-8 July, 2018. Organized into 20 chapters, the book focuses on theoretical and applied aspects of various types of mathematical modelling such as equations of various types, fuzzy mathematical models, automata, Petri nets and bond graphs for systems of dynamic nature and the usage of numerical techniques in handling modern problems of science, engineering and finance. It covers the applications of mathematical modelling in physics, chemistry, biology, mechanical engineering, civil engineering, computer science, social science and finance. A wide variety of dynamical systems like deterministic, stochastic, continuous, discrete or hybrid, with respect to time, are discussed in the book. It provides the mathematical modelling of various problems arising in science and engineering, and also new efficient numerical approaches for solving linear and nonlinear problems and rigorous mathematical theories, which can be used to analyze a different kind of mathematical models. The conference was aimed at fostering cooperation among students and researchers in areas of applied analysis, engineering and computation with the deliberations to inculcate new research ideas in their relevant fields. This volume will provide a comprehensive introduction to recent theories and applications of mathematical modelling and numerical simulation, which will be a valuable resource for graduate students and researchers of mathematical modelling and industrial mathematics.

Mathematical Modelling and Computer Simulation of Biomechanical Systems

Mathematical Modelling and Computer Simulation of Biomechanical Systems
Author: A. V. Zinkovsky,V. A. Sholuha,A. A. Ivanov
Publsiher: World Scientific
Total Pages: 205
Release: 1996
ISBN: 9789810223953
Category: Mathematics
Language: EN, FR, DE, ES & NL

Mathematical Modelling and Computer Simulation of Biomechanical Systems Book Excerpt:

The book presents a new scientific approach to the problem of biomechanical systems description.This approach is based on development of a universal anthropomorphic model and employment of methodology of imitational dynamic modeling (IDM). The novelty of this approach is that there appears a possibility to operate with a whole class of models, derived from the universal model on the basis of motion separation principle. This is followed by utilization of iterational procedures realizing the method of successive approximations and resulting in description of the real motion with the pre-set accuracy level. By use of the IDM there has been for the first time ascertained certain laws governing human locomotions: presence of so-called controlling and stabilizing interlink moments, wavelike speeding of forces extremums along the kinematic chain, adaptation of control functions for astronauts motion coordination preservation. The book includes new theoretical conceptions explaining the deterioration of functional state of skeletal-muscular apparatus of astronauts due to zero-gravity influence.

Mathematical Modelling of Ocean Circulation

Mathematical Modelling of Ocean Circulation
Author: G.I. Marchuk,A.S. Sarkisyan
Publsiher: Springer
Total Pages: 292
Release: 1988-10-05
ISBN: 1928374650XXX
Category: Mathematics
Language: EN, FR, DE, ES & NL

Mathematical Modelling of Ocean Circulation Book Excerpt:

The problems of ocean dynamics present more and more com plex tasks for investigators, based on the continuously sophisti cation of theoretical models, which are applied with the help of universal and efficient algorithms of numerical mathematics. The present level of our knowledge in the field of mathemat ical physics and numerical mathematics allows one to give rather complete theoretical analysis of basic statements of problems as well as numerical algorithms. Our task is to perform such analy sis and also to analyze the results of calculations in order to improve our knowledge of the mechanism of large-scale hy drological processes occurring in the World Ocean. The new level of numerical mathematics has essentially influenced , the formation of new solution methods of ocean dynamics prob lems, among which an important one is the splitting method, which has been already widely practised in various fields of science and engineering. A number of monographs by N. N. Yanenko, A. A. Samarsky, G.!. Marchuk (Rozhdestvensky and Yanenko 1968; Samarsky and Andreyev 1976; Marchuk 1970, 1980b) and others are devoted to the description of this methods. But the methods of the splitting theory require extensive creative work for their application to concrete problems, which are peculiar, as a rule, in problem formulation. The success of the application of these methods is related to the deep understanding of the essence of the described processes. In the last decades fundamental works of Arakawa, K.

Russian Journal of Numerical Analysis and Mathematical Modelling

Russian Journal of Numerical Analysis and Mathematical Modelling
Author: Anonim
Publsiher: Unknown
Total Pages: 135
Release: 2003
ISBN: 1928374650XXX
Category: Electronic journals
Language: EN, FR, DE, ES & NL

Russian Journal of Numerical Analysis and Mathematical Modelling Book Excerpt:

Mathematical Modelling of Wave Phenomena

Mathematical Modelling of Wave Phenomena
Author: Börje Nilsson,Louis Fishman
Publsiher: American Institute of Physics
Total Pages: 378
Release: 2006-05-12
ISBN: 1928374650XXX
Category: Science
Language: EN, FR, DE, ES & NL

Mathematical Modelling of Wave Phenomena Book Excerpt:

This conference series intends to illuminate the relationship between different types of waves. This second conference focused primarily on classical wave modeling of acoustic waves in solids and fluids, electromagnetic waves, as well as elastic wave modeling, and both direct and inverse problems are addressed. Topics included are: (1) Classical linear wave propagation modeling, analysis and computation: general, electromagnetic applications, acoustics of fluids, acoustics of solids; (2) classical nonlinear wave propagation modeling, analysis, and computation; (3) inverse scattering modeling: gneral and electromagnetic imaging, wood imaging, seismic imaging; (4) quantum and statistical mechanics; (5) signal processing and analysis.

Exploring Mathematical Modeling with Young Learners

Exploring Mathematical Modeling with Young Learners
Author: Jennifer M. Suh,Megan H. Wickstrom,Lyn D. English
Publsiher: Springer Nature
Total Pages: 442
Release: 2021-06-01
ISBN: 3030639002
Category: Education
Language: EN, FR, DE, ES & NL

Exploring Mathematical Modeling with Young Learners Book Excerpt:

This book conceptualizes the nature of mathematical modeling in the early grades from both teaching and learning perspectives. Mathematical modeling provides a unique opportunity to engage elementary students in the creative process of mathematizing their world. A diverse community of internationally known researchers and practitioners share studies that advance the field with respect to the following themes: The Nature of Mathematical Modeling in the Early Grades Content Knowledge and Pedagogy for Mathematical Modeling Student Experiences as Modelers Teacher Education and Professional Development in Modeling Experts in the field provide commentaries that extend and connect ideas presented across chapters. This book is an invaluable resource in illustrating what all young children can achieve with mathematical modeling and how we can support teachers and families in this important work.

Mathematical Modelling in Biology and Ecology

Mathematical Modelling in Biology and Ecology
Author: W.M. Getz
Publsiher: Springer
Total Pages: 358
Release: 1980-01-01
ISBN: 9783540097358
Category: Mathematics
Language: EN, FR, DE, ES & NL

Mathematical Modelling in Biology and Ecology Book Excerpt:

This volume consists of a selection of papers presented at a 'Symposium on Mathematical Modelling in Biology and Ecology', held at the Conference Centre of the Council for Scientific and Industrial Research (CSIR), Pretoria, South Africa on July 5 and 6, 1979. The Symposium was organized by the National Research Institute for Mathematical Sciences of the CSIR, the National Institute of Virology, the University of the Witwaters= rand and the South African Journal of Science. The primary reason for the symposium was to provide a forum for South African researchers in the fields of Mathematical Biology and Ecology, at which to present or review their most recent work. It was also hoped that such a symposium would stimulate further research in this field in South Africa and elsewhere. Accordingly a number of South African Scien= tists working on a wide range of problems in Mathematical Biology and Ecology and three Scientists from North America, were invited to present papers. Although a somewhat wide spectrum of problems was covered by the Symposium, a balance was maintained by ensuring that the papers were evenly distributed in the three categories: Models of Physiological Pro= cesses; Morphological Models; and Ecological and Population Models.

RAIRO Mathematical modelling and numerical analysis

RAIRO  Mathematical modelling and numerical analysis
Author: Anonim
Publsiher: Unknown
Total Pages: 135
Release: 1998
ISBN: 1928374650XXX
Category: Mathematical models
Language: EN, FR, DE, ES & NL

RAIRO Mathematical modelling and numerical analysis Book Excerpt:

Mathematical Modelling for Materials Processing

Mathematical Modelling for Materials Processing
Author: M. Cross,J. F. T. Pittman,Richard D. Wood
Publsiher: Oxford University Press, USA
Total Pages: 556
Release: 1993
ISBN: 1928374650XXX
Category: Manufacturing processes
Language: EN, FR, DE, ES & NL

Mathematical Modelling for Materials Processing Book Excerpt:

Mathematical modelling has a key role to play in the design, analysis, optimization and control of material processing technologies. The task of modelling is interdisciplinary, involving materials scientists, process technologists, as well as applied mathematicians. This meeting broughttogether representatives from all branches of mathematical modelling from the researchers who develop models of the microstructural changes that occur during forming and the developers of algorithms and codes as simulation tools to those who employ such models and tools in an industrialcontext.

Proceedings of the Second International Conference on Mathematical Modelling Invited lectures heat transfer and fluid mechanics material properties industrial applications numerical modelling mathematical programming simulation stochastic modelling and miscellaneous problems v 2 Man and interactions physiology and biomedical systems environmental modelling populations econometric modelling and urban problems

Proceedings of the Second International Conference on Mathematical Modelling  Invited lectures  heat transfer and fluid mechanics  material properties  industrial applications  numerical modelling  mathematical programming  simulation  stochastic modelling and miscellaneous problems  v 2  Man and interactions  physiology and biomedical systems  environmental modelling  populations  econometric modelling  and urban problems
Author: Anonim
Publsiher: Unknown
Total Pages: 1310
Release: 1980
ISBN: 1928374650XXX
Category: Mathematical models
Language: EN, FR, DE, ES & NL

Proceedings of the Second International Conference on Mathematical Modelling Invited lectures heat transfer and fluid mechanics material properties industrial applications numerical modelling mathematical programming simulation stochastic modelling and miscellaneous problems v 2 Man and interactions physiology and biomedical systems environmental modelling populations econometric modelling and urban problems Book Excerpt:

Soviet Journal of Numerical Analysis and Mathematical Modelling

Soviet Journal of Numerical Analysis and Mathematical Modelling
Author: Anonim
Publsiher: Unknown
Total Pages: 135
Release: 1991
ISBN: 1928374650XXX
Category: Mathematical models
Language: EN, FR, DE, ES & NL

Soviet Journal of Numerical Analysis and Mathematical Modelling Book Excerpt:

Modelling and Mathematics Education

Modelling and Mathematics Education
Author: J F Matos,S K Houston,W Blum,S P Carreira
Publsiher: Elsevier
Total Pages: 432
Release: 2001-11-01
ISBN: 0857099655
Category: Mathematics
Language: EN, FR, DE, ES & NL

Modelling and Mathematics Education Book Excerpt:

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