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Modeling and Data Analysis: An Introduction with Environmental Applications
 
John B. Little College of the Holy Cross, Worcester, MA
Modeling and Data Analysis
Hardcover ISBN:  978-1-4704-4869-1
Product Code:  MBK/120
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-5200-1
Product Code:  MBK/120.E
List Price: $79.00
MAA Member Price: $71.10
AMS Member Price: $63.20
Hardcover ISBN:  978-1-4704-4869-1
eBook: ISBN:  978-1-4704-5200-1
Product Code:  MBK/120.B
List Price: $164.00 $124.50
MAA Member Price: $147.60 $112.05
AMS Member Price: $131.20 $99.60
Modeling and Data Analysis
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Modeling and Data Analysis: An Introduction with Environmental Applications
John B. Little College of the Holy Cross, Worcester, MA
Hardcover ISBN:  978-1-4704-4869-1
Product Code:  MBK/120
List Price: $85.00
MAA Member Price: $76.50
AMS Member Price: $68.00
eBook ISBN:  978-1-4704-5200-1
Product Code:  MBK/120.E
List Price: $79.00
MAA Member Price: $71.10
AMS Member Price: $63.20
Hardcover ISBN:  978-1-4704-4869-1
eBook ISBN:  978-1-4704-5200-1
Product Code:  MBK/120.B
List Price: $164.00 $124.50
MAA Member Price: $147.60 $112.05
AMS Member Price: $131.20 $99.60
  • Book Details
     
     
    2019; 323 pp
    MSC: 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 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.

    Ancillaries:

    Readership

    Undergraduate 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
  • 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 real-world 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
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Desk Copy – for instructors who have adopted an AMS textbook for a course
    Instructor's Manual – for instructors who have adopted an AMS textbook for a course and need the instructor's manual
    Examination Copy – for faculty considering an AMS textbook for a course
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
2019; 323 pp
MSC: 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 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.

Ancillaries:

Readership

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 real-world 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
Review Copy – for publishers of book reviews
Desk Copy – for instructors who have adopted an AMS textbook for a course
Instructor's Manual – for instructors who have adopted an AMS textbook for a course and need the instructor's manual
Examination Copy – for faculty considering an AMS textbook for a course
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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