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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.



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.



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.



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.



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 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.



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.



Mathematical Modelling in One Dimension

Mathematical Modelling in One Dimension Author Jacek Banasiak
ISBN-10 9781107654686
Release 2013-02-21
Pages 118
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Uses a wide variety of applications to demonstrate the universality of mathematical techniques in describing and analysing natural phenomena.



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.



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.



An Introduction to Mathematical Physiology and Biology

An Introduction to Mathematical Physiology and Biology Author J. Mazumdar
ISBN-10 0521646758
Release 1999-08-19
Pages 226
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A textbook about the mathematical modelling of biological and physiological phenomena for mathematically sophisticated students.



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.



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 Game theoretic Modelling

An Introduction to Game theoretic Modelling Author Mike Mesterton-Gibbons
ISBN-10 9780821819296
Release 2001
Pages 368
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This is an introduction to game theory and applications with an emphasis on self-discovery from the perspective of a mathematical modeller. The book deals in a unified manner with the central concepts of both classical and evolutionary game theory. The key ideas are illustrated throughout by a wide variety of well-chosen examples of both human and non-human behavior, including car pooling, price fixing, food sharing, sex allocation and competition for territories or oviposition sites. There are numerous exercises with solutions.



A Biologist s Guide to Mathematical Modeling in Ecology and Evolution

A Biologist s Guide to Mathematical Modeling in Ecology and Evolution Author Sarah P. Otto
ISBN-10 9781400840915
Release 2011-09-19
Pages 744
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Thirty years ago, biologists could get by with a rudimentary grasp of mathematics and modeling. Not so today. In seeking to answer fundamental questions about how biological systems function and change over time, the modern biologist is as likely to rely on sophisticated mathematical and computer-based models as traditional fieldwork. In this book, Sarah Otto and Troy Day provide biology students with the tools necessary to both interpret models and to build their own. The book starts at an elementary level of mathematical modeling, assuming that the reader has had high school mathematics and first-year calculus. Otto and Day then gradually build in depth and complexity, from classic models in ecology and evolution to more intricate class-structured and probabilistic models. The authors provide primers with instructive exercises to introduce readers to the more advanced subjects of linear algebra and probability theory. Through examples, they describe how models have been used to understand such topics as the spread of HIV, chaos, the age structure of a country, speciation, and extinction. Ecologists and evolutionary biologists today need enough mathematical training to be able to assess the power and limits of biological models and to develop theories and models themselves. This innovative book will be an indispensable guide to the world of mathematical models for the next generation of biologists. A how-to guide for developing new mathematical models in biology Provides step-by-step recipes for constructing and analyzing models Interesting biological applications Explores classical models in ecology and evolution Questions at the end of every chapter Primers cover important mathematical topics Exercises with answers Appendixes summarize useful rules Labs and advanced material available