Mathematical Modelling And Applications

Mathematical Modelling And Applications Book in PDF, ePub and Kindle version is available to download in english. Read online anytime anywhere directly from your device. Click on the download button below to get a free pdf file of Mathematical Modelling And Applications book. This book definitely worth reading, it is an incredibly well-written.

Mathematical Modelling and Applications

Gloria Ann Stillman,Werner Blum,Gabriele Kaiser
Mathematical Modelling and Applications Book PDF

Author : Gloria Ann Stillman,Werner Blum,Gabriele Kaiser
Publisher : Springer
Page : 647 pages
File Size : 41,7 Mb
Release : 2017-11-05
Category : Education
ISBN : 9783319629681

Get Book

Mathematical Modelling and Applications by Gloria Ann Stillman,Werner Blum,Gabriele Kaiser Pdf

This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in the life world of people whether these range from the everyday individual numeracy level to sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for multi-disciplinary work that involves knowledge from a variety of communities of practice such as those in different workplaces (e.g., those of educators, designers, construction engineers, museum curators) and in different fields of academic endeavour (e.g., history, archaeology, mathematics, economics). From an educational perspective, researching the development of competency in real world modelling involves research situated in crossing the boundaries between being a student engaged in modelling or mathematical application to real word tasks in the classroom, being a teacher of mathematical modelling (in or outside the classroom or bridging both), and being a modeller of the world outside the classroom. This is the focus of many of the authors of the chapters in this book. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace.

Mathematical Modeling

Jonas Hall,Thomas Lingefjärd
Mathematical Modeling Book PDF

Author : Jonas Hall,Thomas Lingefjärd
Publisher : John Wiley & Sons
Page : 568 pages
File Size : 45,9 Mb
Release : 2016-06-13
Category : Mathematics
ISBN : 9781119102694

Get Book

Mathematical Modeling by Jonas Hall,Thomas Lingefjärd Pdf

A logical problem-based introduction to the use of GeoGebra for mathematical modeling and problem solving within various areas of mathematics A well-organized guide to mathematical modeling techniques for evaluating and solving problems in the diverse field of mathematics, Mathematical Modeling: Applications with GeoGebra presents a unique approach to software applications in GeoGebra and WolframAlpha. The software is well suited for modeling problems in numerous areas of mathematics including algebra, symbolic algebra, dynamic geometry, three-dimensional geometry, and statistics. Featuring detailed information on how GeoGebra can be used as a guide to mathematical modeling, the book provides comprehensive modeling examples that correspond to different levels of mathematical experience, from simple linear relations to differential equations. Each chapter builds on the previous chapter with practical examples in order to illustrate the mathematical modeling skills necessary for problem solving. Addressing methods for evaluating models including relative error, correlation, square sum of errors, regression, and confidence interval, Mathematical Modeling: Applications with GeoGebra also includes: Over 400 diagrams and 300 GeoGebra examples with practical approaches to mathematical modeling that help the reader develop a full understanding of the content Numerous real-world exercises with solutions to help readers learn mathematical modeling techniques A companion website with GeoGebra constructions and screencasts Mathematical Modeling: Applications with GeoGebrais ideal for upper-undergraduate and graduate-level courses in mathematical modeling, applied mathematics, modeling and simulation, operations research, and optimization. The book is also an excellent reference for undergraduate and high school instructors in mathematics.

Aspects of Mathematical Modelling

Roger J. Hosking,Ezio Venturino
Aspects of Mathematical Modelling Book PDF

Author : Roger J. Hosking,Ezio Venturino
Publisher : Springer Science & Business Media
Page : 375 pages
File Size : 48,6 Mb
Release : 2008-03-02
Category : Mathematics
ISBN : 9783764385910

Get Book

Aspects of Mathematical Modelling by Roger J. Hosking,Ezio Venturino Pdf

The construction of mathematical models is an essential scientific activity. Mathematics is associated with developments in science and engineering, but more recently mathematical modelling has been used to investigate complex systems that arise in other fields. This book demonstrates the application of mathematics to research topics in ecology and environmental science, health and medicine, phylogenetics and neural networks, theoretical chemistry, economics and management.

Multidisciplinary Mathematical Modelling

Francesc Font,Tim G. Myers
Multidisciplinary Mathematical Modelling Book PDF

Author : Francesc Font,Tim G. Myers
Publisher : Springer Nature
Page : 89 pages
File Size : 41,5 Mb
Release : 2021-04-13
Category : Mathematics
ISBN : 9783030642723

Get Book

Multidisciplinary Mathematical Modelling by Francesc Font,Tim G. Myers Pdf

This book presents a selection of the talks resulting from research carried out by different groups at the Centre de Recerca Matemàtica and presented at the International Congress on Industrial and Applied Mathematics, held in Valencia in 2019. The various chapters describe a wide variety of topics: cancer modelling, carbon capture by adsorption, nanoscale diffusion and complex systems to predict earthquakes. These mathematical studies were specifically aided via collaborations with biomedical engineers, physicists and chemists. The book is addressed to researchers in all of these areas as well as in general mathematical modelling.

Mathematical Modeling

Sandip Banerjee
Mathematical Modeling Book PDF

Author : Sandip Banerjee
Publisher : CRC Press
Page : 419 pages
File Size : 54,5 Mb
Release : 2021-11-11
Category : Mathematics
ISBN : 9781351022934

Get Book

Mathematical Modeling by Sandip Banerjee Pdf

Mathematical Modeling: Models, Analysis and Applications, Second Edition introduces models of both discrete and continuous systems. This book is aimed at newcomers who desires to learn mathematical modeling, especially students taking a first course in the subject. Beginning with the step-by-step guidance of model formulation, this book equips the reader about modeling with difference equations (discrete models), ODE’s, PDE’s, delay and stochastic differential equations (continuous models). This book provides interdisciplinary and integrative overview of mathematical modeling, making it a complete textbook for a wide audience. A unique feature of the book is the breadth of coverage of different examples on mathematical modelling, which include population models, economic models, arms race models, combat models, learning model, alcohol dynamics model, carbon dating, drug distribution models, mechanical oscillation models, epidemic models, tumor models, traffic flow models, crime flow models, spatial models, football team performance model, breathing model, two neuron system model, zombie model and model on love affairs. Common themes such as equilibrium points, stability, phase plane analysis, bifurcations, limit cycles, period doubling and chaos run through several chapters and their interpretations in the context of the model have been highlighted. In chapter 3, a section on estimation of system parameters with real life data for model validation has also been discussed. Features Covers discrete, continuous, spatial, delayed and stochastic models. Over 250 illustrations, 300 examples and exercises with complete solutions. Incorporates MATHEMATICA® and MATLAB®, each chapter contains Mathematica and Matlab codes used to display numerical results (available at CRC website). Separate sections for Projects. Several exercise problems can also be used for projects. Presents real life examples of discrete and continuous scenarios. The book is ideal for an introductory course for undergraduate and graduate students, engineers, applied mathematicians and researchers working in various areas of natural and applied sciences.

An Introduction to Mathematical Modeling

Edward A. Bender
An Introduction to Mathematical Modeling Book PDF

Author : Edward A. Bender
Publisher : Courier Corporation
Page : 273 pages
File Size : 49,5 Mb
Release : 2012-05-23
Category : Mathematics
ISBN : 9780486137124

Get Book

An Introduction to Mathematical Modeling by Edward A. Bender Pdf

Employing a practical, "learn by doing" approach, this first-rate text fosters the development of the skills beyond the pure mathematics needed to set up and manipulate mathematical models. The author draws on a diversity of fields — including science, engineering, and operations research — to provide over 100 reality-based examples. Students learn from the examples by applying mathematical methods to formulate, analyze, and criticize models. Extensive documentation, consisting of over 150 references, supplements the models, encouraging further research on models of particular interest. The lively and accessible text requires only minimal scientific background. Designed for senior college or beginning graduate-level students, it assumes only elementary calculus and basic probability theory for the first part, and ordinary differential equations and continuous probability for the second section. All problems require students to study and create models, encouraging their active participation rather than a mechanical approach. Beyond the classroom, this volume will prove interesting and rewarding to anyone concerned with the development of mathematical models or the application of modeling to problem solving in a wide array of applications.

Modelling and Applications in Mathematics Education

Peter L. Galbraith,Hans-Wolfgang Henn,Mogens Niss
Modelling and Applications in Mathematics Education Book PDF

Author : Peter L. Galbraith,Hans-Wolfgang Henn,Mogens Niss
Publisher : Springer Science & Business Media
Page : 524 pages
File Size : 51,6 Mb
Release : 2007-12-05
Category : Education
ISBN : 9780387298221

Get Book

Modelling and Applications in Mathematics Education by Peter L. Galbraith,Hans-Wolfgang Henn,Mogens Niss Pdf

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 Education in East and West

Frederick Koon Shing Leung,Gloria Ann Stillman,Gabriele Kaiser,Ka Lok Wong
Mathematical Modelling Education in East and West Book PDF

Author : Frederick Koon Shing Leung,Gloria Ann Stillman,Gabriele Kaiser,Ka Lok Wong
Publisher : Springer Nature
Page : 666 pages
File Size : 44,5 Mb
Release : 2021-04-26
Category : Education
ISBN : 9783030669966

Get Book

Mathematical Modelling Education in East and West by Frederick Koon Shing Leung,Gloria Ann Stillman,Gabriele Kaiser,Ka Lok Wong Pdf

This book documents ongoing research and theorizing in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in people’s everyday lives as well as sophisticated new problems for society at large. Mathematical tradition in China that emphasizes algorithm and computation has now seen a renaissance in mathematical modelling and applications where China has made significant progress with its economy, science and technology. In recent decades, teaching and learning of mathematical modelling as well as contests in mathematical modelling have been flourishing at different levels of education in China. Today, teachers and researchers in China become keener to learn from their colleagues from Western countries and other parts of the world in research and teaching of mathematical modelling and applications. The book provides a dialogue and communication between colleagues from across the globe with new impetus and resources for mathematical modelling education and its research in both West and East with new ideas on modelling teaching and practices, inside and outside classrooms. All authors of this book are members of the International Community of Teachers of Mathematical Modelling and Applications (ICTMA), the peak research body into researching the teaching, assessing and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace. The book is of interest to researchers, mathematics educators, teacher educators, education administrators, policy writers, curriculum developers, professional developers, in-service teachers and pre-service teachers including those interested in mathematical literacy.

Mathematical Applications and Modelling

Berinderjeet Kaur,Jaguthsing Dindyal
Mathematical Applications and Modelling Book PDF

Author : Berinderjeet Kaur,Jaguthsing Dindyal
Publisher : World Scientific
Page : 351 pages
File Size : 49,8 Mb
Release : 2010
Category : Mathematics
ISBN : 9789814313346

Get Book

Mathematical Applications and Modelling by Berinderjeet Kaur,Jaguthsing Dindyal Pdf

Mathematical Applications and Modelling is the second in the series of the yearbooks of the Association of Mathematics Educators in Singapore. The book is unique as it addresses a focused theme on mathematics education. The objective is to illustrate the diversity within the theme and present research that translates into classroom pedagogies. --

Mathematical Models and Applications

Daniel P. Maki,Maynard Thompson
Mathematical Models and Applications Book PDF

Author : Daniel P. Maki,Maynard Thompson
Publisher : Prentice Hall
Page : 520 pages
File Size : 46,5 Mb
Release : 1973
Category : Mathematics
ISBN : UOM:39015068293284

Get Book

Mathematical Models and Applications by Daniel P. Maki,Maynard Thompson Pdf

"This book began as lecture notes developed in connection with a course of the same name given since 1968 at Indiana University. The audience can be loosely grouped as follows: junior and senior mathematics majors, many of whom contemplate graduate work in other fields; undergraduate and graduate students majoring in the social and life sciences and in business; and prospective secondary teachers of mathematics. In addition, portions of the material have been used in NSF institutes for mathematics teachers. The goal of the course has been to provide the student with an appreciation for, an understanding of, and a facility in the use of mathematics in other fields. The role of mathematical models in explaining and predicting phenomena arising in the real world is the central theme." --Preface.

Mathematical Modelling

Seppo Pohjolainen,Matti Heiliö,Timo Lähivaara,Erkki Laitinen,Timo Mantere,Jorma Merikoski,Kimmo Raivio,Risto Silvennoinen,Antti Suutala,Tanja Tarvainen,Timo Tiihonen,Jukka Tuomela,Esko Turunen,Marko Vauhkonen
Mathematical Modelling Book PDF

Author : Seppo Pohjolainen,Matti Heiliö,Timo Lähivaara,Erkki Laitinen,Timo Mantere,Jorma Merikoski,Kimmo Raivio,Risto Silvennoinen,Antti Suutala,Tanja Tarvainen,Timo Tiihonen,Jukka Tuomela,Esko Turunen,Marko Vauhkonen
Publisher : Springer
Page : 242 pages
File Size : 48,7 Mb
Release : 2016-07-14
Category : Mathematics
ISBN : 9783319278360

Get Book

Mathematical Modelling by Seppo Pohjolainen,Matti Heiliö,Timo Lähivaara,Erkki Laitinen,Timo Mantere,Jorma Merikoski,Kimmo Raivio,Risto Silvennoinen,Antti Suutala,Tanja Tarvainen,Timo Tiihonen,Jukka Tuomela,Esko Turunen,Marko Vauhkonen Pdf

This book provides a thorough introduction to the challenge of applying mathematics in real-world scenarios. Modelling tasks rarely involve well-defined categories, and they often require multidisciplinary input from mathematics, physics, computer sciences, or engineering. In keeping with this spirit of modelling, the book includes a wealth of cross-references between the chapters and frequently points to the real-world context. The book combines classical approaches to modelling with novel areas such as soft computing methods, inverse problems, and model uncertainty. Attention is also paid to the interaction between models, data and the use of mathematical software. The reader will find a broad selection of theoretical tools for practicing industrial mathematics, including the analysis of continuum models, probabilistic and discrete phenomena, and asymptotic and sensitivity analysis.

Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications

Michal Krízek,Pekka Neittaanmäki
Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications Book PDF

Author : Michal Krízek,Pekka Neittaanmäki
Publisher : Springer Science & Business Media
Page : 311 pages
File Size : 46,8 Mb
Release : 2013-03-09
Category : Mathematics
ISBN : 9789401586726

Get Book

Mathematical and Numerical Modelling in Electrical Engineering Theory and Applications by Michal Krízek,Pekka Neittaanmäki Pdf

Mathematical modeling plays an essential role in science and engineering. Costly and time consuming experiments (if they can be done at all) are replaced by computational analysis. In industry, commercial codes are widely used. They are flexible and can be adjusted for solving specific problems of interest. Solving large problems with tens or hundreds of thousands unknowns becomes routine. The aim of analysis is to predict the behavior of the engineering and physical reality usually within the constraints of cost and time. Today, human cost and time are more important than computer cost. This trend will continue in the future. Agreement between computational results and reality is related to two factors, namely mathematical formulation of the problems and the accuracy of the numerical solution. The accuracy has to be understood in the context of the aim of the analysis. A small error in an inappropriate norm does not necessarily mean that the computed results are usable for practical purposes.

Mathematical Modelling Education and Sense-making

Gloria Ann Stillman,Gabriele Kaiser,Christine Erna Lampen
Mathematical Modelling Education and Sense making Book PDF

Author : Gloria Ann Stillman,Gabriele Kaiser,Christine Erna Lampen
Publisher : Springer Nature
Page : 502 pages
File Size : 45,6 Mb
Release : 2020-05-14
Category : Education
ISBN : 9783030376734

Get Book

Mathematical Modelling Education and Sense-making by Gloria Ann Stillman,Gabriele Kaiser,Christine Erna Lampen Pdf

This volume documents on-going research and theorising in the sub-field of mathematics education devoted to the teaching and learning of mathematical modelling and applications. Mathematical modelling provides a way of conceiving and resolving problems in people’s everyday lives as well as sophisticated new problems for society at large. Mathematical modelling and real world applications are considered as having potential for cultivating sense making in classroom settings. This book focuses on the educational perspective, researching the complexities encountered in effective teaching and learning of real world modelling and applications for sense making is only beginning. All authors of this volume are members of the International Community of Teachers of Mathematical Modelling (ICTMA), the peak research body into researching the teaching and learning of mathematical modelling at all levels of education from the early years to tertiary education as well as in the workplace.

Mathematical Models with Applications

Daniel L. Timmons,Catherine W. Johnson,Sonya M. McCook
Mathematical Models with Applications Book PDF

Author : Daniel L. Timmons,Catherine W. Johnson,Sonya M. McCook
Publisher : Brooks/Cole Publishing Company
Page : 422 pages
File Size : 46,5 Mb
Release : 2006-03
Category : Mathematics
ISBN : 0495017817

Get Book

Mathematical Models with Applications by Daniel L. Timmons,Catherine W. Johnson,Sonya M. McCook Pdf

This text makes math fun, approachable, and applicable in everyday life. The authors provide algebraic modeling concepts and solutions in non-threatening, easy-to-understand language with numerous step-by-step examples to illustrate ideas. Whether they are going on to study early childhood education, graphic arts, automotive technologies, criminal justice, or something else, students will discover that the practical applications of mathematical modeling will continue to be useful well after they have finished this course.

Methods of Mathematical Modelling

Harendra Singh,Devendra Kumar,Dumitru Baleanu
Methods of Mathematical Modelling Book PDF

Author : Harendra Singh,Devendra Kumar,Dumitru Baleanu
Publisher : CRC Press
Page : 255 pages
File Size : 47,7 Mb
Release : 2019-09-17
Category : Mathematics
ISBN : 9781000596786

Get Book

Methods of Mathematical Modelling by Harendra Singh,Devendra Kumar,Dumitru Baleanu Pdf

This book features original research articles on the topic of mathematical modelling and fractional differential equations. The contributions, written by leading researchers in the field, consist of chapters on classical and modern dynamical systems modelled by fractional differential equations in physics, engineering, signal processing, fluid mechanics, and bioengineering, manufacturing, systems engineering, and project management. The book offers theory and practical applications for the solutions of real-life problems and will be of interest to graduate level students, educators, researchers, and scientists interested in mathematical modelling and its diverse applications. Features Presents several recent developments in the theory and applications of fractional calculus Includes chapters on different analytical and numerical methods dedicated to several mathematical equations Develops methods for the mathematical models which are governed by fractional differential equations Provides methods for models in physics, engineering, signal processing, fluid mechanics, and bioengineering Discusses real-world problems, theory, and applications