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An Introduction to Mathematical Modeling

An Introduction to Mathematical Modeling Author Edward A. Bender
ISBN-10 048641180X
Release 2000
Pages 256
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Accessible text features over 100 reality-based examples pulled from the science, engineering and operations research fields. Prerequisites: ordinary differential equations, continuous probability. Numerous references. Includes 27 black-and-white figures. 1978 edition.



An Introduction to Mathematical Modeling

An Introduction to Mathematical Modeling Author Edward A. Bender
ISBN-10 9780486137124
Release 2012-05-23
Pages 272
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Accessible text features over 100 reality-based examples pulled from the science, engineering, and operations research fields. Prerequisites: ordinary differential equations, continuous probability. Numerous references. Includes 27 black-and-white figures. 1978 edition.



An Introduction to Mathematical Modelling

An Introduction to Mathematical Modelling Author Neville D. Fowkes
ISBN-10 0471943096
Release 1994-08-16
Pages 464
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Demonstrates the challenges and fascinations of mathematical modelling and enables students to develop the skills required to examine real life problems. The various techniques and skills are introduced to the reader through the discussion of a variety of carefully selected problems and exercises, largely drawn from industrial contexts. Maple is used for the problems discussed and for many of the exercises, with suggestions and commands provided for readers unfamiliar with this software package.



Mathematical Modeling in Systems Biology

Mathematical Modeling in Systems Biology Author Brian P. Ingalls
ISBN-10 9780262018883
Release 2013-07-05
Pages 408
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Systems techniques are integral to current research in molecular cell biology, and system-level investigations are often accompanied by mathematical models. These models serve as working hypotheses: they help us to understand and predict the behavior of complex systems. This book offers an introduction to mathematical concepts and techniques needed for the construction and interpretation of models in molecular systems biology. It is accessible to upper-level undergraduate or graduate students in life science or engineering who have some familiarity with calculus, and will be a useful reference for researchers at all levels. The first four chapters cover the basics of mathematical modeling in molecular systems biology. The last four chapters address specific biological domains, treating modeling of metabolic networks, of signal transduction pathways, of gene regulatory networks, and of electrophysiology and neuronal action potentials. Chapters 3--8 end with optional sections that address more specialized modeling topics. Exercises, solvable with pen-and-paper calculations, appear throughout the text to encourage interaction with the mathematical techniques. More involved end-of-chapter problem sets require computational software. Appendixes provide a review of basic concepts of molecular biology, additional mathematical background material, and tutorials for two computational software packages (XPPAUT and MATLAB) that can be used for model simulation and analysis.



Numerical Analysis and Optimization

Numerical Analysis and Optimization Author Grégoire Allaire
ISBN-10 9780199205219
Release 2007-05-24
Pages 455
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This work familiarises students with mathematical models (PDEs) and methods of numerical solution and optimisation. Including numerous exercises and examples, this is an ideal text for advanced students in Applied Mathematics, Engineering, Physical Science and Computer Science.



Solutions Manual to An Introduction to Mathematical Modeling

Solutions Manual to An Introduction to Mathematical Modeling Author Edward A. Bender
ISBN-10 STANFORD:36105002700842
Release 1978
Pages 32
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Solutions Manual to An Introduction to Mathematical Modeling has been writing in one form or another for most of life. You can find so many inspiration from Solutions Manual to An Introduction to Mathematical Modeling also informative, and entertaining. Click DOWNLOAD or Read Online button to get full Solutions Manual to An Introduction to Mathematical Modeling book for free.



An Introduction to Mathematical Models in Ecology and Evolution

An Introduction to Mathematical Models in Ecology and Evolution Author Michael Gillman
ISBN-10 9781405194891
Release 2009-07-07
Pages 158
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Students often find it difficult to grasp fundamental ecological and evolutionary concepts because of their inherently mathematical nature. Likewise, the application of ecological and evolutionary theory often requires a high degree of mathematical competence. This book is a first step to addressing these difficulties, providing a broad introduction to the key methods and underlying concepts of mathematical models in ecology and evolution. The book is intended to serve the needs of undergraduate and postgraduate ecology and evolution students who need to access the mathematical and statistical modelling literature essential to their subjects. The book assumes minimal mathematics and statistics knowledge whilst covering a wide variety of methods, many of which are at the fore–front of ecological and evolutionary research. The book also highlights the applications of modelling to practical problems such as sustainable harvesting and biological control. Key features: Written clearly and succinctly, requiring minimal in–depth knowledge of mathematics Introduces students to the use of computer models in both fields of ecology and evolutionary biology Market – senior undergraduate students and beginning postgraduates in ecology and evolutionary biology



Mathematical Models in Biology

Mathematical Models in Biology Author Elizabeth S. Allman
ISBN-10 0521525861
Release 2004
Pages 370
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Linear and non-linear models of populations, molecular evolution, phylogenetic tree construction, genetics, and infectious diseases are presented with minimal prerequisites.



An Introduction to Mathematical Modeling

An Introduction to Mathematical Modeling Author J. Tinsley Oden
ISBN-10 9781118105740
Release 2012-02-23
Pages 348
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A modern approach to mathematical modeling, featuring unique applications from the field of mechanics An Introduction to Mathematical Modeling: A Course in Mechanics is designed to survey the mathematical models that form the foundations of modern science and incorporates examples that illustrate how the most successful models arise from basic principles in modern and classical mathematical physics. Written by a world authority on mathematical theory and computational mechanics, the book presents an account of continuum mechanics, electromagnetic field theory, quantum mechanics, and statistical mechanics for readers with varied backgrounds in engineering, computer science, mathematics, and physics. The author streamlines a comprehensive understanding of the topic in three clearly organized sections: Nonlinear Continuum Mechanics introduces kinematics as well as force and stress in deformable bodies; mass and momentum; balance of linear and angular momentum; conservation of energy; and constitutive equations Electromagnetic Field Theory and Quantum Mechanics contains a brief account of electromagnetic wave theory and Maxwell's equations as well as an introductory account of quantum mechanics with related topics including ab initio methods and Spin and Pauli's principles Statistical Mechanics presents an introduction to statistical mechanics of systems in thermodynamic equilibrium as well as continuum mechanics, quantum mechanics, and molecular dynamics Each part of the book concludes with exercise sets that allow readers to test their understanding of the presented material. Key theorems and fundamental equations are highlighted throughout, and an extensive bibliography outlines resources for further study. Extensively class-tested to ensure an accessible presentation, An Introduction to Mathematical Modeling is an excellent book for courses on introductory mathematical modeling and statistical mechanics at the upper-undergraduate and graduate levels. The book also serves as a valuable reference for professionals working in the areas of modeling and simulation, physics, and computational engineering.



Mathematical Modeling of Physical Systems

Mathematical Modeling of Physical Systems Author Diran Basmadjian
ISBN-10 0195153146
Release 2003
Pages 350
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Both analytical and numerical methods are explained in enough detail to function as learning tools for the beginner or as refreshers for the more informed reader. Ideal for third-year engineering, mathematics, physics, and chemistry students."--BOOK JACKET.



Mathematical Modelling in One Dimension

Mathematical Modelling in One Dimension Author Jacek Banasiak
ISBN-10 9781107311510
Release 2013-02-21
Pages
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Mathematical Modelling in One Dimension demonstrates the universality of mathematical techniques through a wide variety of applications. Learn how the same mathematical idea governs loan repayments, drug accumulation in tissues or growth of a population, or how the same argument can be used to find the trajectory of a dog pursuing a hare, the trajectory of a self-guided missile or the shape of a satellite dish. The author places equal importance on difference and differential equations, showing how they complement and intertwine in describing natural phenomena.



An Introduction to Mathematical Modeling in Physiology Cell Biology and Immunology

An Introduction to Mathematical Modeling in Physiology  Cell Biology  and Immunology Author James Sneyd
ISBN-10 9780821828168
Release 2002
Pages 177
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In many respects, biology is the new frontier for applied mathematicians. This book demonstrates the important role mathematics plays in the study of some biological problems. It introduces mathematicians to the biological sciences and provides enough mathematics for bioscientists to appreciate the utility of the modelling approach. This book presents a number of diverse topics, such as neurophysiology, cell biology, immunology, and human genetics. It examines how research is done, what mathematics is used, what the outstanding questions are, and how to enter the field. Also given is a brief historical survey of each topic, putting current research into perspective. The book is suitable for mathematicians and biologists interested in mathematical methods in biology.



Mathematical Modelling Techniques

Mathematical Modelling Techniques Author Rutherford Aris
ISBN-10 9780486138893
Release 2012-06-29
Pages 288
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Highly useful volume discusses the types of models, how to formulate and manipulate them for best results. Numerous examples.



Introduction to Mathematical Modeling

Introduction to Mathematical Modeling Author Mayer Humi
ISBN-10 9781498728027
Release 2017-09-19
Pages 500
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Introduction to Mathematical Modeling helps students master the processes used by scientists and engineers to model real-world problems, including the challenges posed by space exploration, climate change, energy sustainability, chaotic dynamical systems and random processes. Primarily intended for students with a working knowledge of calculus but minimal training in computer programming in a first course on modeling, the more advanced topics in the book are also useful for advanced undergraduate and graduate students seeking to get to grips with the analytical, numerical, and visual aspects of mathematical modeling, as well as the approximations and abstractions needed for the creation of a viable model.



An Introduction to Infectious Disease Modelling

An Introduction to Infectious Disease Modelling Author Emilia Vynnycky
ISBN-10 9780191511363
Release 2010-05-13
Pages 400
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Mathematical models are increasingly being used to examine questions in infectious disease control. Applications include predicting the impact of vaccination strategies against common infections and determining optimal control strategies against HIV and pandemic influenza. This book introduces individuals interested in infectious diseases to this exciting and expanding area. The mathematical level of the book is kept as simple as possible, which makes the book accessible to those who have not studied mathematics to university level. Understanding is further enhanced by models that can be accessed online, which will allow readers to explore the impact of different factors and control strategies, and further adapt and develop the models themselves. The book is based on successful courses developed by the authors at the London School of Hygiene and Tropical Medicine. It will be of interest to epidemiologists, public health researchers, policy makers, veterinary scientists, medical statisticians and infectious disease researchers.



Concepts of Mathematical Modeling

Concepts of Mathematical Modeling Author Walter J. Meyer
ISBN-10 9780486137247
Release 2012-10-23
Pages 448
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This text features examinations of classic models and a variety of applications. Each section is preceded by an abstract and statement of prerequisites. Includes exercises. 1984 edition.



Mathematical Modeling and Simulation

Mathematical Modeling and Simulation Author Kai Velten
ISBN-10 9783527627615
Release 2009-06-01
Pages 362
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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).