Softcover ISBN:  9781470451424 
Product Code:  TEXT/29 
List Price:  $99.00 
MAA Member Price:  $74.25 
AMS Member Price:  $74.25 
eBook ISBN:  9781614446156 
Product Code:  TEXT/29.E 
List Price:  $89.00 
MAA Member Price:  $66.75 
AMS Member Price:  $66.75 
Softcover ISBN:  9781470451424 
eBook: ISBN:  9781614446156 
Product Code:  TEXT/29.B 
List Price:  $188.00 $143.50 
MAA Member Price:  $141.00 $107.63 
AMS Member Price:  $141.00 $107.63 
Softcover ISBN:  9781470451424 
Product Code:  TEXT/29 
List Price:  $99.00 
MAA Member Price:  $74.25 
AMS Member Price:  $74.25 
eBook ISBN:  9781614446156 
Product Code:  TEXT/29.E 
List Price:  $89.00 
MAA Member Price:  $66.75 
AMS Member Price:  $66.75 
Softcover ISBN:  9781470451424 
eBook ISBN:  9781614446156 
Product Code:  TEXT/29.B 
List Price:  $188.00 $143.50 
MAA Member Price:  $141.00 $107.63 
AMS Member Price:  $141.00 $107.63 

Book DetailsAMS/MAA TextbooksVolume: 29; 2015; 713 pp
Calculus for the Life Sciences is an entire reimagining of the standard calculus sequence with the needs of life science students as the fundamental organizing principle. Those needs, according to the National Academy of Science, include: the mathematical concepts of change, modeling, equilibria and stability, structure of a system, interactions among components, data and measurement, visualization, and algorithms. This book addresses, in a deep and significant way, every concept on that list.
The book begins with a primer on modeling in the biological realm and biological modeling is the theme and frame for the entire book. The authors build models of bacterial growth, light penetration through a column of water, and dynamics of a colony of mold in the first few pages. In each case there is actual data that needs fitting. In the case of the mold colony that data is a set of photographs of the colony growing on a ruled sheet of graph paper and the students need to make their own approximations. Fundamental questions about the nature of mathematical modeling—trying to approximate a realworld phenomenon with an equation—are all laid out for the students to wrestle with.
The authors have produced a beautifully written introduction to the uses of mathematics in the life sciences. The exposition is crystalline, the problems are overwhelmingly from biology and interesting and rich, and the emphasis on modeling is pervasive.
Ancillaries:

Table of Contents

Chapters

Chapter 1. Mathematical Models of Biological Processes

Chapter 2. Functions as Descriptions of Biological Patterns

Chapter 3. The Derivative

Chapter 4. Continuity and the Power Chain Rule

Chapter 5. Derivatives of Exponential and Logarithmic Functions

Chapter 6. Derivatives of Products, Quotients and Compositions of Functions

Chapter 7. Derivatives of the Trigonometric Functions

Chapter 8. Applications of Derivatives

Chapter 9. The Integral

Chapter 10. The Fundamental Theorem of Calculus

Chapter 11. Applications of the Fundamental Theorem of Calculus and Multiple Integrals

Chapter 12. The Mean Value Theorem and Taylor Polynomials

Chapter 13. Two Variable Calculus and Diffusion

Chapter 14. First Order Difference Equation Models of Populations

Chapter 15. Discrete Dynamical Systems

Chapter 16. Nonlinear Dynamical Systems; Stable and Unstable Equilibria

Chapter 17. Differential Equations

Chapter 18. Second order and systems of two first order differential equations


Additional Material

RequestsReview Copy – for publishers of book reviewsDesk Copy – for instructors who have adopted an AMS textbook for a courseInstructor's Manual – for instructors who have adopted an AMS textbook for a course and need the instructor's manualExamination Copy – for faculty considering an AMS textbook for a courseAccessibility – to request an alternate format of an AMS title
 Book Details
 Table of Contents
 Additional Material
 Requests
Calculus for the Life Sciences is an entire reimagining of the standard calculus sequence with the needs of life science students as the fundamental organizing principle. Those needs, according to the National Academy of Science, include: the mathematical concepts of change, modeling, equilibria and stability, structure of a system, interactions among components, data and measurement, visualization, and algorithms. This book addresses, in a deep and significant way, every concept on that list.
The book begins with a primer on modeling in the biological realm and biological modeling is the theme and frame for the entire book. The authors build models of bacterial growth, light penetration through a column of water, and dynamics of a colony of mold in the first few pages. In each case there is actual data that needs fitting. In the case of the mold colony that data is a set of photographs of the colony growing on a ruled sheet of graph paper and the students need to make their own approximations. Fundamental questions about the nature of mathematical modeling—trying to approximate a realworld phenomenon with an equation—are all laid out for the students to wrestle with.
The authors have produced a beautifully written introduction to the uses of mathematics in the life sciences. The exposition is crystalline, the problems are overwhelmingly from biology and interesting and rich, and the emphasis on modeling is pervasive.
Ancillaries:

Chapters

Chapter 1. Mathematical Models of Biological Processes

Chapter 2. Functions as Descriptions of Biological Patterns

Chapter 3. The Derivative

Chapter 4. Continuity and the Power Chain Rule

Chapter 5. Derivatives of Exponential and Logarithmic Functions

Chapter 6. Derivatives of Products, Quotients and Compositions of Functions

Chapter 7. Derivatives of the Trigonometric Functions

Chapter 8. Applications of Derivatives

Chapter 9. The Integral

Chapter 10. The Fundamental Theorem of Calculus

Chapter 11. Applications of the Fundamental Theorem of Calculus and Multiple Integrals

Chapter 12. The Mean Value Theorem and Taylor Polynomials

Chapter 13. Two Variable Calculus and Diffusion

Chapter 14. First Order Difference Equation Models of Populations

Chapter 15. Discrete Dynamical Systems

Chapter 16. Nonlinear Dynamical Systems; Stable and Unstable Equilibria

Chapter 17. Differential Equations

Chapter 18. Second order and systems of two first order differential equations