Modeling and Data Analysis

An Introduction with Environmental Applications

Inbunden, Engelska, 2019

979 kr

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Beskrivning

Can we coexist with the other life forms that have evolved on this planet? Are there realistic alternatives to fossil fuels that would sustainably provide for human society's energy needs and have fewer harmful effects? How do we deal with threats such as emergent diseases? Mathematical models--equations of various sorts capturing relationships between variables involved in a complex situation--are fundamental for understanding the potential consequences of choices we make. Extracting insights from the vast amounts of data we are able to collect requires analysis methods and statistical reasoning.This book on elementary topics in mathematical modeling and data analysis is intended for an undergraduate ``liberal arts mathematics''-type course but with a specific focus on environmental applications. It is suitable for introductory courses with no prerequisites beyond high school mathematics. A great variety of exercises extends the discussions of the main text to new situations and/or introduces new real-world examples. Every chapter ends with a section of problems, as well as with an extended chapter project which often involves substantial computing work either in spreadsheet software or in the ${\tt R}$ statistical package.

Produktinformation

Utgivningsdatum:2019-03-30
Mått:178 x 254 x undefined mm
Vikt:775 g
Format:Inbunden
Språk:Engelska
Antal sidor:323
Förlag:American Mathematical Society
ISBN:9781470448691

Utforska kategorier

Tillämpad matematik inom Naturvetenskap och teknik

Mer om författaren

John B. Little, College of the Holy Cross, Worcester, MA.

Recensioner i media

It is great that mathematics is finally taught as a tool to understand the challenges that the planet will be facing and to participate in the debate. The book aims at developing skills in mathematical modeling and data analysis, with a focus on the environment. The projects encourage active learning. A wonderful book!"" - Christiane Rousseau, Initiator of Mathematics of Planet Earth (MPE2013) and Professor of Mathematics, Universite de Montreal""Using diverse examples with environmental science data, this text provides a lively review of high school math. Ideal for a quantitative literacy course, it offers an excellent alternative to the typical math rehash."" - Louis J. Gross, Chancellor's Professor of Ecology and Evolutionary Biology and Mathematics, University of Tennessee, Knoxville

Innehållsförteckning

Basic quantitative concepts: Scales of measurementRatios, percents, proportionsPart I summary projectElementary modeling: Linear functions as modelsExponential functions as modelsPower functions as modelsDiscrete time dynamic modeling and difference equationsModeling with systems of difference equationsData analysis and statistics: Descriptive statisticsProbability distributions and random variablesStatistics of samplingHypothesis testing and statistical inferenceIndex