Hardcover ISBN:  9781470448691 
Product Code:  MBK/120 
List Price:  $79.00 
MAA Member Price:  $71.10 
AMS Member Price:  $63.20 
Electronic ISBN:  9781470452001 
Product Code:  MBK/120.E 
List Price:  $79.00 
MAA Member Price:  $71.10 
AMS Member Price:  $63.20 

Book Details2019; 323 ppMSC: Primary 92; 39; 62; Secondary 00;
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 realworld 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.
Exercises and solutions for this title are available electronically to those instructors who have adopted the textbook for classroom use. Please send email to textbooks@ams.org for more information.ReadershipUndergraduate and graduate students and researchers interested in math modeling and data analysis with environmental applications.

Table of Contents

Basic quantitative concepts

Scales of measurement

Ratios, percents, proportions

Part I summary project

Elementary modeling

Linear functions as models

Exponential functions as models

Power functions as models

Discrete time dynamic modeling and difference equations

Modeling with systems of difference equations

Data analysis and statistics

Descriptive statistics

Probability distributions and random variables

Statistics of sampling

Hypothesis testing and statistical inference


Additional Material

Reviews

This book on elementary topics in mathematical modeling and data analysis is intended for an undergraduate liberal arts mathematics course with a specific focus on environmental applications. A great variety of exercises extends the discussions of the main text to new situations and/or introduces new realworld examples.
Tom Schulte, MAA Reviews 
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, Université de Montréal 
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


RequestsReview Copy – for reviewers who would like to review an AMS bookDesk Copy – for instructors who have adopted an AMS textbook for a courseExamination Copy – for faculty considering an AMS textbook for a coursePermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Additional Material
 Reviews
 Requests
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 realworld 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.
Exercises and solutions for this title are available electronically to those instructors who have adopted the textbook for classroom use. Please send email to textbooks@ams.org for more information.
Undergraduate and graduate students and researchers interested in math modeling and data analysis with environmental applications.

Basic quantitative concepts

Scales of measurement

Ratios, percents, proportions

Part I summary project

Elementary modeling

Linear functions as models

Exponential functions as models

Power functions as models

Discrete time dynamic modeling and difference equations

Modeling with systems of difference equations

Data analysis and statistics

Descriptive statistics

Probability distributions and random variables

Statistics of sampling

Hypothesis testing and statistical inference

This book on elementary topics in mathematical modeling and data analysis is intended for an undergraduate liberal arts mathematics course with a specific focus on environmental applications. A great variety of exercises extends the discussions of the main text to new situations and/or introduces new realworld examples.
Tom Schulte, MAA Reviews 
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, Université de Montréal 
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