Mathematics Of Models
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Author | : Nancy Butler Wolf |
Publisher | : Heinemann Educational Books |
Total Pages | : 0 |
Release | : 2015 |
Genre | : Education |
ISBN | : 9780325062594 |
Download Modeling with Mathematics Book in PDF, Epub and Kindle
"Nancy's in-depth look at mathematical modeling offers middle school teachers the kind of practical help they need for incorporating modeling into their classrooms." -Cathy Seeley, Past President of NCTM, author of Faster Isn't Smarter and Smarter Than We Think "This is the book that math teachers and parents have been waiting for. Nancy provides a comprehensive step-by-step guide to modeling in mathematics at the middle school level." -David E. Drew, author of STEM the Tide: Reforming Science, Technology, Engineering, and Math Education in America We all use math to analyze everyday situations we encounter. Whether we realize it or not, we're modeling with mathematics: taking a complex situation and figuring out what we need to make sense of it. In Modeling with Mathematics, Nancy Butler Wolf shows that math is most powerful when it means something to students. She provides clear, friendly guidance for teachers to use authentic modeling projects in their classrooms and help their students develop key problem-solving skills, including: collecting data and formulating a mathematical model interpreting results and comparing them to reality learning to communicate their solutions in meaningful ways. This kind of teaching can be challenging because it is open-ended: it asks students to make decisions about their approach to a scenario, the information they will need, and the tools they will use. But Nancy proves there is ample middle ground between doing all of the work for your students and leaving them to flail in the dark. Through detailed examples and hands-on activities, Nancy shows how to guide your students to become active participants in mathematical explorations who are able to answer the question, "What did I just figure out?" Her approach values all students as important contributors and shows how instruction focused on mathematical modeling engages every learner regardless of their prior history of success or failure in math.
Author | : Michael Friedman |
Publisher | : Birkhäuser |
Total Pages | : 443 |
Release | : 2022-07-05 |
Genre | : Mathematics |
ISBN | : 9783030978327 |
Download Model and Mathematics: From the 19th to the 21st Century Book in PDF, Epub and Kindle
This open access book collects the historical and medial perspectives of a systematic and epistemological analysis of the complicated, multifaceted relationship between model and mathematics, ranging from, for example, the physical mathematical models of the 19th century to the simulation and digital modelling of the 21st century. The aim of this anthology is to showcase the status of the mathematical model between abstraction and realization, presentation and representation, what is modeled and what models. This book is open access under a CC BY 4.0 license.
Author | : Walter J. Meyer |
Publisher | : Courier Corporation |
Total Pages | : 450 |
Release | : 2012-10-23 |
Genre | : Mathematics |
ISBN | : 0486137244 |
Download Concepts of Mathematical Modeling Book in PDF, Epub and Kindle
Appropriate for undergraduate and graduate students, this text features independent sections that illustrate the most important principles of mathematical modeling, a variety of applications, and classic models. Students with a solid background in calculus and some knowledge of probability and matrix theory will find the material entirely accessible. The range of subjects includes topics from the physical, biological, and social sciences, as well as those of operations research. Discussions cover related mathematical tools and the historical eras from which the applications are drawn. Each section is preceded by an abstract and statement of prerequisites, and answers or hints are provided for selected exercises. 1984 edition.
Author | : Edward Beltrami |
Publisher | : Academic Press |
Total Pages | : 294 |
Release | : 2014-05-10 |
Genre | : Technology & Engineering |
ISBN | : 1483267865 |
Download Mathematics for Dynamic Modeling Book in PDF, Epub and Kindle
Mathematics for Dynamic Modeling provides an introduction to the mathematics of dynamical systems. This book presents the mathematical formulations in terms of linear and nonlinear differential equations. Organized into two parts encompassing nine chapters, this book begins with an overview of the notions of equilibrium and stability in differential equation modeling that occur in the guise of simple models in the plane. This text then focuses on nonlinear models in which the limiting behavior of orbits can be more complicated. Other chapters consider the problems that illustrate the concepts of equilibrium and stability, limit cycles, chaos, and bifurcation. This book discusses as well a variety of topics, including cusp catastrophes, strange attractors, and reaction–diffusion and shock phenomena. The final chapter deals with models that are based on the notion of optimization. This book is intended to be suitable for students in upper undergraduate and first-year graduate course in mathematical modeling.
Author | : Leah Edelstein-Keshet |
Publisher | : SIAM |
Total Pages | : 629 |
Release | : 1988-01-01 |
Genre | : Mathematics |
ISBN | : 9780898719147 |
Download Mathematical Models in Biology Book in PDF, Epub and Kindle
Mathematical Models in Biology is an introductory book for readers interested in biological applications of mathematics and modeling in biology. A favorite in the mathematical biology community, it shows how relatively simple mathematics can be applied to a variety of models to draw interesting conclusions. Connections are made between diverse biological examples linked by common mathematical themes. A variety of discrete and continuous ordinary and partial differential equation models are explored. Although great advances have taken place in many of the topics covered, the simple lessons contained in this book are still important and informative. Audience: the book does not assume too much background knowledge--essentially some calculus and high-school algebra. It was originally written with third- and fourth-year undergraduate mathematical-biology majors in mind; however, it was picked up by beginning graduate students as well as researchers in math (and some in biology) who wanted to learn about this field.
Author | : A. C. Fowler |
Publisher | : Cambridge University Press |
Total Pages | : 440 |
Release | : 1997-11-28 |
Genre | : Mathematics |
ISBN | : 9780521467032 |
Download Mathematical Models in the Applied Sciences Book in PDF, Epub and Kindle
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.
Author | : Richard McElreath |
Publisher | : University of Chicago Press |
Total Pages | : 429 |
Release | : 2008-09-15 |
Genre | : Social Science |
ISBN | : 0226558282 |
Download Mathematical Models of Social Evolution Book in PDF, Epub and Kindle
Over the last several decades, mathematical models have become central to the study of social evolution, both in biology and the social sciences. But students in these disciplines often seriously lack the tools to understand them. A primer on behavioral modeling that includes both mathematics and evolutionary theory, Mathematical Models of Social Evolution aims to make the student and professional researcher in biology and the social sciences fully conversant in the language of the field. Teaching biological concepts from which models can be developed, Richard McElreath and Robert Boyd introduce readers to many of the typical mathematical tools that are used to analyze evolutionary models and end each chapter with a set of problems that draw upon these techniques. Mathematical Models of Social Evolution equips behaviorists and evolutionary biologists with the mathematical knowledge to truly understand the models on which their research depends. Ultimately, McElreath and Boyd’s goal is to impart the fundamental concepts that underlie modern biological understandings of the evolution of behavior so that readers will be able to more fully appreciate journal articles and scientific literature, and start building models of their own.
Author | : Fred Brauer |
Publisher | : Springer Science & Business Media |
Total Pages | : 432 |
Release | : 2013-03-09 |
Genre | : Science |
ISBN | : 1475735162 |
Download Mathematical Models in Population Biology and Epidemiology Book in PDF, Epub and Kindle
The goal of this book is to search for a balance between simple and analyzable models and unsolvable models which are capable of addressing important questions on population biology. Part I focusses on single species simple models including those which have been used to predict the growth of human and animal population in the past. Single population models are, in some sense, the building blocks of more realistic models -- the subject of Part II. Their role is fundamental to the study of ecological and demographic processes including the role of population structure and spatial heterogeneity -- the subject of Part III. This book, which will include both examples and exercises, is of use to practitioners, graduate students, and scientists working in the field.
Author | : Lee A. Segel |
Publisher | : SIAM |
Total Pages | : 435 |
Release | : 2013-05-09 |
Genre | : Science |
ISBN | : 1611972493 |
Download A Primer in Mathematical Models in Biology Book in PDF, Epub and Kindle
A textbook on mathematical modelling techniques with powerful applications to biology, combining theoretical exposition with exercises and examples.
Author | : Valeria Zazzu |
Publisher | : Springer |
Total Pages | : 207 |
Release | : 2015-11-26 |
Genre | : Mathematics |
ISBN | : 3319234978 |
Download Mathematical Models in Biology Book in PDF, Epub and Kindle
This book presents an exciting collection of contributions based on the workshop “Bringing Maths to Life” held October 27-29, 2014 in Naples, Italy. The state-of-the art research in biology and the statistical and analytical challenges facing huge masses of data collection are treated in this Work. Specific topics explored in depth surround the sessions and special invited sessions of the workshop and include genetic variability via differential expression, molecular dynamics and modeling, complex biological systems viewed from quantitative models, and microscopy images processing, to name several. In depth discussions of the mathematical analysis required to extract insights from complex bodies of biological datasets, to aid development in the field novel algorithms, methods and software tools for genetic variability, molecular dynamics, and complex biological systems are presented in this book. Researchers and graduate students in biology, life science, and mathematics/statistics will find the content useful as it addresses existing challenges in identifying the gaps between mathematical modeling and biological research. The shared solutions will aid and promote further collaboration between life sciences and mathematics.