| Softcover ISBN: | 978-1-4704-5142-4 |
| Product Code: | TEXT/29 |
| List Price: | $99.00 |
| MAA Member Price: | $74.25 |
| AMS Member Price: | $74.25 |
| eBook ISBN: | 978-1-61444-615-6 |
| Product Code: | TEXT/29.E |
| List Price: | $89.00 |
| MAA Member Price: | $66.75 |
| AMS Member Price: | $66.75 |
| Softcover ISBN: | 978-1-4704-5142-4 |
| eBook: ISBN: | 978-1-61444-615-6 |
| 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: | 978-1-4704-5142-4 |
| Product Code: | TEXT/29 |
| List Price: | $99.00 |
| MAA Member Price: | $74.25 |
| AMS Member Price: | $74.25 |
| eBook ISBN: | 978-1-61444-615-6 |
| Product Code: | TEXT/29.E |
| List Price: | $89.00 |
| MAA Member Price: | $66.75 |
| AMS Member Price: | $66.75 |
| Softcover ISBN: | 978-1-4704-5142-4 |
| eBook ISBN: | 978-1-61444-615-6 |
| 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 |
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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 real-world 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:
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Table of Contents
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Chapters
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Chapter 1. Mathematical Models of Biological Processes
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Chapter 2. Functions as Descriptions of Biological Patterns
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Chapter 3. The Derivative
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Chapter 4. Continuity and the Power Chain Rule
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Chapter 5. Derivatives of Exponential and Logarithmic Functions
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Chapter 6. Derivatives of Products, Quotients and Compositions of Functions
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Chapter 7. Derivatives of the Trigonometric Functions
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Chapter 8. Applications of Derivatives
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Chapter 9. The Integral
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Chapter 10. The Fundamental Theorem of Calculus
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Chapter 11. Applications of the Fundamental Theorem of Calculus and Multiple Integrals
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Chapter 12. The Mean Value Theorem and Taylor Polynomials
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Chapter 13. Two Variable Calculus and Diffusion
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Chapter 14. First Order Difference Equation Models of Populations
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Chapter 15. Discrete Dynamical Systems
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Chapter 16. Nonlinear Dynamical Systems; Stable and Unstable Equilibria
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Chapter 17. Differential Equations
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Chapter 18. Second order and systems of two first order differential equations
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Additional Material
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RequestsReview Copy – for publishers of book reviewsDesk Copy – for instructors who have adopted an AMS textbook for a courseInstructor's Solutions Manual – for instructors who have adopted an AMS textbook for a courseExamination 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 real-world 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
