Mathematical Models In The Applied Sciences

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Mathematical Models in the Applied Sciences

Author : A. C. Fowler
Publisher : Cambridge University Press
Page : 440 pages
File Size : 42,5 Mb
Release : 1997-11-28
Category : Mathematics
ISBN : 0521467039

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Mathematical Models in the Applied Sciences by A. C. Fowler Pdf

Presents a thorough grounding in the techniques of mathematical modelling, and proceeds to explore a range of classical and continuum models from an array of disciplines.

Applied Mathematical Models in Human Physiology

Author : Johnny T. Ottesen,Mette S. Olufsen,Jesper K. Larsen
Publisher : SIAM
Page : 311 pages
File Size : 50,5 Mb
Release : 2004-01-01
Category : Medical
ISBN : 0898718287

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Applied Mathematical Models in Human Physiology by Johnny T. Ottesen,Mette S. Olufsen,Jesper K. Larsen Pdf

This book introduces mathematicians to real applications from physiology. Using mathematics to analyze physiological systems, the authors focus on models reflecting current research in cardiovascular and pulmonary physiology. In particular, they present models describing blood flow in the heart and the cardiovascular system, as well as the transport of oxygen and carbon dioxide through the respiratory system and a model for baroreceptor regulation.

Mathematical Modelling in Health, Social and Applied Sciences

Author : Hemen Dutta
Publisher : Springer Nature
Page : 325 pages
File Size : 46,5 Mb
Release : 2020-02-29
Category : Mathematics
ISBN : 9789811522864

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Mathematical Modelling in Health, Social and Applied Sciences by Hemen Dutta Pdf

This book discusses significant research findings in the field of mathematical modelling, with particular emphasis on important applied-sciences, health, and social issues. It includes topics such as model on viral immunology, stochastic models for the dynamics of influenza, model describing the transmission of dengue, model for human papillomavirus (HPV) infection, prostate cancer model, realization of economic growth by goal programming, modelling of grazing periodic solutions in discontinuous systems, modelling of predation system, fractional epidemiological model for computer viruses, and nonlinear ecological models. A unique addition in the proposed areas of research and education, this book is a valuable resource for graduate students, researchers and educators associated with the study of mathematical modelling of health, social and applied-sciences issues. Readers interested in applied mathematics should also find this book valuable.

Mathematical Models in Applied Mechanics

Author : Alan B. Tayler
Publisher : Oxford University Press
Page : 292 pages
File Size : 46,7 Mb
Release : 2001
Category : Mathematics
ISBN : 0198515596

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Mathematical Models in Applied Mechanics by Alan B. Tayler Pdf

This textbook demonstrates the power of mathematics in solving practical, scientific, and technical problems through mathematical modelling techniques. It has been designed specifically for final year undergraduate and graduate students, and springs from the author's extensive teachingexperience. The text is combined with twenty-one carefully ordered problems taken from real situations, and students are encouraged to develop the skill of constructing their own models of new situations.

Applied Biomechatronics Using Mathematical Models

Author : Jorge Garza Ulloa
Publisher : Academic Press
Page : 662 pages
File Size : 40,9 Mb
Release : 2018-06-16
Category : Technology & Engineering
ISBN : 9780128125953

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Applied Biomechatronics Using Mathematical Models by Jorge Garza Ulloa Pdf

Applied Biomechatronics Using Mathematical Models provides an appropriate methodology to detect and measure diseases and injuries relating to human kinematics and kinetics. It features mathematical models that, when applied to engineering principles and techniques in the medical field, can be used in assistive devices that work with bodily signals. The use of data in the kinematics and kinetics analysis of the human body, including musculoskeletal kinetics and joints and their relationship to the central nervous system (CNS) is covered, helping users understand how the complex network of symbiotic systems in the skeletal and muscular system work together to allow movement controlled by the CNS. With the use of appropriate electronic sensors at specific areas connected to bio-instruments, we can obtain enough information to create a mathematical model for assistive devices by analyzing the kinematics and kinetics of the human body. The mathematical models developed in this book can provide more effective devices for use in aiding and improving the function of the body in relation to a variety of injuries and diseases. Focuses on the mathematical modeling of human kinematics and kinetics Teaches users how to obtain faster results with these mathematical models Includes a companion website with additional content that presents MATLAB examples

Mathematical Methods in Engineering and Applied Sciences

Author : Taylor & Francis Group
Publisher : CRC Press
Page : 308 pages
File Size : 40,7 Mb
Release : 2021-09-30
Category : Electronic
ISBN : 1032175915

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Mathematical Methods in Engineering and Applied Sciences by Taylor & Francis Group Pdf

This book covers tools and techniques used for developing mathematical methods and modelling related to real-life situations. It brings forward significant aspects of mathematical research by using different mathematical methods such as analytical, computational, and numerical with relevance or applications in engineering and applied sciences.

Mathematical Modeling in Science and Engineering

Author : Ismael Herrera,George F. Pinder
Publisher : John Wiley & Sons
Page : 259 pages
File Size : 41,5 Mb
Release : 2012-03-19
Category : Technology & Engineering
ISBN : 9781118207208

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Mathematical Modeling in Science and Engineering by Ismael Herrera,George F. Pinder Pdf

A powerful, unified approach to mathematical and computational modeling in science and engineering Mathematical and computational modeling makes it possible to predict the behavior of a broad range of systems across a broad range of disciplines. This text guides students and professionals through the axiomatic approach, a powerful method that will enable them to easily master the principle types of mathematical and computational models used in engineering and science. Readers will discover that this axiomatic approach not only enables them to systematically construct effective models, it also enables them to apply these models to any macroscopic physical system. Mathematical Modeling in Science and Engineering focuses on models in which the processes to be modeled are expressed as systems of partial differential equations. It begins with an introductory discussion of the axiomatic formulation of basic models, setting the foundation for further topics such as: Mechanics of classical and non-classical continuous systems Solute transport by a free fluid Flow of a fluid in a porous medium Multiphase systems Enhanced oil recovery Fluid mechanics Throughout the text, diagrams are provided to help readers visualize and better understand complex mathematical concepts. A set of exercises at the end of each chapter enables readers to put their new modeling skills into practice. There is also a bibliography in each chapter to facilitate further investigation of individual topics. Mathematical Modeling in Science and Engineering is ideal for both students and professionals across the many disciplines of science and engineering that depend on mathematical and computational modeling to predict and understand complex systems.

Thinking with models

Author : Thomas L. Saaty and Joyce M. Alexander
Publisher : RWS Publications
Page : 187 pages
File Size : 54,5 Mb
Release : 197?
Category : Business & Economics
ISBN : 9781888603415

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Thinking with models by Thomas L. Saaty and Joyce M. Alexander Pdf

This is a rich and exciting collection of examples and applications in mathematical modelling. There is broad variety, balance and highly motivating material and most of this assumes minimal mathematical training.

Mathematical Models In Science

Author : Olav Arnfinn Laudal
Publisher : World Scientific
Page : 319 pages
File Size : 49,5 Mb
Release : 2021-06-16
Category : Science
ISBN : 9781800610293

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Mathematical Models In Science by Olav Arnfinn Laudal Pdf

Mathematical Models in Science treats General Relativity and Quantum Mechanics in a non-commutative Algebraic Geometric framework.Based on ideas first published in Geometry of Time-Spaces: Non-commutative Algebraic Geometry Applied to Quantum Theory (World Scientific, 2011), Olav Arnfinn Laudal proposes a Toy Model as a Theory of Everything, starting with the notion of the Big Bang in Cosmology, modeled as the non-commutative deformation of a thick point. From this point, the author shows how to extract reasonable models for both General Relativity and Quantum Theory. This book concludes that the universe turns out to be the 6-dimensional Hilbert scheme of pairs of points in affine 3-space. With this in place, one may develop within the model much of the physics known to the reader. In particular, this theory is applicable to the concept of Dark Matter and its effects on our visual universe.Hence, Mathematical Models in Science proves the dependency of deformation theory in Mathematical Physics and summarizes the development of physical applications of pure mathematics developed in the twentieth century.

Mathematical Modeling for the Life Sciences

Author : Jacques Istas
Publisher : Springer Science & Business Media
Page : 168 pages
File Size : 48,7 Mb
Release : 2006-03-30
Category : Mathematics
ISBN : 9783540278771

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Mathematical Modeling for the Life Sciences by Jacques Istas Pdf

Provides a wide range of mathematical models currently used in the life sciences Each model is thoroughly explained and illustrated by example Includes three appendices to allow for independent reading

An Introduction to Mathematical Modeling

Author : Edward A. Bender
Publisher : Courier Corporation
Page : 274 pages
File Size : 43,8 Mb
Release : 2012-05-23
Category : Mathematics
ISBN : 9780486137124

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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.

Mathematical and Computational Approaches in Advancing Modern Science and Engineering

Author : Jacques Bélair,Ian A. Frigaard,Herb Kunze,Roman Makarov,Roderick Melnik,Raymond J. Spiteri
Publisher : Springer
Page : 806 pages
File Size : 47,9 Mb
Release : 2016-08-10
Category : Computers
ISBN : 9783319303796

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Mathematical and Computational Approaches in Advancing Modern Science and Engineering by Jacques Bélair,Ian A. Frigaard,Herb Kunze,Roman Makarov,Roderick Melnik,Raymond J. Spiteri Pdf

Focusing on five main groups of interdisciplinary problems, this book covers a wide range of topics in mathematical modeling, computational science and applied mathematics. It presents a wealth of new results in the development of modeling theories and methods, advancing diverse areas of applications and promoting interdisciplinary interactions between mathematicians, scientists, engineers and representatives from other disciplines. The book offers a valuable source of methods, ideas, and tools developed for a variety of disciplines, including the natural and social sciences, medicine, engineering, and technology. Original results are presented on both the fundamental and applied level, accompanied by an ample number of real-world problems and examples emphasizing the interdisciplinary nature and universality of mathematical modeling, and providing an excellent outline of today’s challenges. Mathematical modeling, with applied and computational methods and tools, plays a fundamental role in modern science and engineering. It provides a primary and ubiquitous tool in the context making new discoveries, as well as in the development of new theories and techniques for solving key problems arising in scientific and engineering applications. The contributions, which are the product of two highly successful meetings held jointly in Waterloo, Ontario, Canada on the main campus of Wilfrid Laurier University in June 2015, i.e. the International Conference on Applied Mathematics, Modeling and Computational Science, and the Annual Meeting of the Canadian Applied and Industrial Mathematics (CAIMS), make the book a valuable resource for any reader interested in a broader overview of the methods, ideas and tools involved in mathematical and computational approaches developed for other disciplines, including the natural and social sciences, engineering and technology.

Mathematical Modeling and Simulation

Author : Kai Velten
Publisher : John Wiley & Sons
Page : 362 pages
File Size : 42,5 Mb
Release : 2009-06-01
Category : Science
ISBN : 9783527627615

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Mathematical Modeling and Simulation by Kai Velten Pdf

This concise and clear introduction to the topic requires only basic knowledge of calculus and linear algebra - all other concepts and ideas are developed in the course of the book. Lucidly written so as to appeal to undergraduates and practitioners alike, it enables readers to set up simple mathematical models on their own and to interpret their results and those of others critically. To achieve this, many examples have been chosen from various fields, such as biology, ecology, economics, medicine, agricultural, chemical, electrical, mechanical and process engineering, which are subsequently discussed in detail. Based on the author`s modeling and simulation experience in science and engineering and as a consultant, the book answers such basic questions as: What is a mathematical model? What types of models do exist? Which model is appropriate for a particular problem? What are simulation, parameter estimation, and validation? The book relies exclusively upon open-source software which is available to everybody free of charge. The entire book software - including 3D CFD and structural mechanics simulation software - can be used based on a free CAELinux-Live-DVD that is available in the Internet (works on most machines and operating systems).

Mathematical Modeling and Computation of Real-Time Problems

Author : Rakhee Kulshrestha,Chandra Shekhar,Madhu Jain,Srinivas R. Chakravarthy
Publisher : CRC Press
Page : 172 pages
File Size : 52,5 Mb
Release : 2021-01-04
Category : Mathematics
ISBN : 9781000288674

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Mathematical Modeling and Computation of Real-Time Problems by Rakhee Kulshrestha,Chandra Shekhar,Madhu Jain,Srinivas R. Chakravarthy Pdf

This book covers an interdisciplinary approach for understanding mathematical modeling by offering a collection of models, solved problems related to the models, the methodologies employed, and the results using projects and case studies with insight into the operation of substantial real-time systems. The book covers a broad scope in the areas of statistical science, probability, stochastic processes, fluid dynamics, supply chain, optimization, and applications. It discusses advanced topics and the latest research findings, uses an interdisciplinary approach for real-time systems, offers a platform for integrated research, and identifies the gaps in the field for further research. The book is for researchers, students, and teachers that share a goal of learning advanced topics and the latest research in mathematical modeling.

Mathematical Methods and Modelling in Applied Sciences

Author : Mehmet Zeki Sarıkaya,Hemen Dutta,Ahmet Ocak Akdemir,Hari M. Srivastava
Publisher : Springer Nature
Page : 268 pages
File Size : 52,7 Mb
Release : 2020-03-02
Category : Technology & Engineering
ISBN : 9783030430023

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Mathematical Methods and Modelling in Applied Sciences by Mehmet Zeki Sarıkaya,Hemen Dutta,Ahmet Ocak Akdemir,Hari M. Srivastava Pdf

This book presents a collection of original research papers from the 2nd International Conference on Mathematical and Related Sciences, held in Antalya, Turkey, on 27 – 30 April 2019 and sponsored/supported by Düzce University, Turkey; the University of Jordan; and the Institute of Applied Mathematics, Baku State University, Azerbaijan. The book focuses on various types of mathematical methods and models in applied sciences; new mathematical tools, techniques and algorithms related to various branches of applied sciences; and important aspects of applied mathematical analysis. It covers mathematical models and modelling methods related to areas such as networks, intelligent systems, population dynamics, medical science and engineering, as well as a wide variety of analytical and numerical methods. The conference aimed to foster cooperation among students, researchers and experts from diverse areas of mathematics and related sciences and to promote fruitful exchanges on crucial research in the field. This book is a valuable resource for graduate students, researchers and educators interested in applied mathematics and interactions of mathematics with other branches of science to provide insights into analysing, modelling and solving various scientific problems in applied sciences.