Man's Mathematical Models PDF Download
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Author: Bill Williams
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 394
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Book Description
Index and answers included.
Author: Bill Williams
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 394
Get Book Here
Book Description
Index and answers included.
Author: Jonas Hall
Publisher: John Wiley & Sons
ISBN: 1119102693
Category : Mathematics
Languages : en
Pages : 571
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Book Description
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.
Author: Richard Haberman
Publisher: SIAM
ISBN: 0898714087
Category : Mathematics
Languages : en
Pages : 412
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Book Description
The author uses mathematical techniques to give an in-depth look at models for mechanical vibrations, population dynamics, and traffic flow.
Author: John Casti
Publisher: Wiley-Interscience
ISBN:
Category : Mathematics
Languages : en
Pages : 520
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Book Description
Contents: Chapter 1. The Ways of Modelmaking: Natural Systems and Formal Mathematical Representations; 2. Pattern and the Emergence of Living Forms: Cellular Automata and Discrete Dynamics; 3. The Analytical Engine: A Newtonian View of Brains, Minds and Mechanisms; 4. Catastrophes and Life: The Singularities of Ecological and Natural Resource Systems; 5. Order in Chaos: Turbulence and Pattern in the Flow of Fluids, Populations and Money; 6. Strategies for Survival: Competition, Games and the Theory of Evolution; 7. Taming Nature and Man: Control, Anticipation and Adaptation in Social and Biological Processes; 8. The Geometry of Human Affairs: Connective Structure in Art, Literature and Games of Chance; 9. How Do We Know?: Myths, Models and Paradigms in the Creation of Beliefs.
Author: Dmitry A. Novikov
Publisher: CRC Press
ISBN: 1315775549
Category : Mathematics
Languages : en
Pages : 298
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Book Description
This book is dedicated to modern approaches to mathematical modeling of reflexive processes in control. The authors consider reflexive games that describe the gametheoretical interaction of agents making decisions based on a hierarchy of beliefs regarding (1) essential parameters (informational reflexion), (2) decision principles used by opponents
Author: Thomas L. Saaty and Joyce M. Alexander
Publisher: RWS Publications
ISBN: 1888603410
Category : Business & Economics
Languages : en
Pages : 219
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Book Description
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.
Author: Thomas Svobodny
Publisher:
ISBN:
Category : Mathematics
Languages : en
Pages : 552
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Book Description
Appropriate for upper level undergraduate and graduate courses in Mathematical Modeling offered in math, engineering departments, and applied math departments. Prerequisite is some exposure to differential equations and to matrices. This accessible and practical text is designed to nurture a "modeling intuition" for a wide range of disciplines, including mathematics, science, engineering, and economics. The numerous examples and mathematical techniques it includes demonstrate that mathematical modeling can be an important tool for revealing the underlying links between apparently disparate phenomena. Its flexible approach also reinforces the idea that there is no fixed set of tools for modeling.
Author: Ann Kajander
Publisher: Canadian Scholars’ Press
ISBN: 1551305569
Category : Education
Languages : en
Pages : 278
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Book Description
Students of mathematics learn best when taught by a teacher with a deep and conceptual understanding of the fundamentals of mathematics. In Mathematical Models for Teaching, Ann Kajander and Tom Boland argue that teachers must be equipped with a knowledge of mathematics for teaching, which is grounded in modelling, reasoning, and problem-based learning. A comprehensive exploration of models and concepts, this book promotes an understanding of the material that goes beyond memorization and recitation, which begins with effective teaching. This vital resource is divided into 15 chapters, each of which addresses a specific mathematical concept. Focusing on areas that have been identified as problematic for teachers and students, Mathematical Models for Teaching equips teachers with a different type of mathematical understanding-one that supports and encourages student development. Features: grounded in the most current research about teachers' learning contains cross-chapter connections that identify common ideas includes chapter concluding discussion questions that encourage critical thinking incorporates figures and diagrams that simplify and solidify important mathematical concepts offers further reading suggestions for instructors seeking additional information
Author: Wendy Grossman
Publisher: Hatje Cantz Verlag
ISBN: 9783775739207
Category : Art, Modern
Languages : en
Pages : 0
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Book Description
How does one make sense of a purported link between mathematics, William Shakespeare, and art? The answer lies within the oeuvre of Man Ray (1890-1976). The publication sets out to unravel the Surrealist puzzle beginning with his photographs of mathematical models he encountered at the Institut Henri Poincaré in Paris in the thirties. Moreover, it charts a path culminating in his Shakespearean Equations (1947-1954) series of oil paintings, which were inspired by the photographs and painted in Hollywood over a decade later. The arc the images strike from painting back to photography reveals the ease with which Man Ray moved between various disciplines and forged his own path. An inveterate experimenter, he pioneered artistic activities in the realms of painting, object making, film, and photography, challenging conventional boundaries and blurring established aesthetic categories. Exhibitions: The Phillips Collection, Washington, D.C., February 7-May 10, 2015 - NY Carlsberg Glyptotek, Copenhagen, June 11-September 20, 2015 - The Israel Museum, Jerusalem, October 20, 2015-January 23, 2016
Author: Sarah P. Otto
Publisher: Princeton University Press
ISBN: 1400840910
Category : Science
Languages : en
Pages : 745
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Book Description
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
