A one-of-a-kind guide to using deterministic and probabilistic methods for solving problems in the biological
sciences
Highlighting the growing relevance of quantitative techniques in scientific research, Mathematical Methods in Biology
provides an accessible presentation of the broad range of important mathematical methods for solving problems in
the biological sciences. The book reveals the growing connections between mathematics and biology through clear
explanations and specific, interesting problems from areas such as population dynamics, foraging theory, and life
history theory.
The authors begin with an introduction and review of mathematical tools that are employed in subsequent chapters,
including biological modeling, calculus, differential equations, dimensionless variables, and descriptive statistics.
The following chapters examine standard discrete and continuous models using matrix algebra as well as difference
and differential equations. Finally, the book outlines probability, statistics, and stochastic methods as well
as material on bootstrapping and stochastic differential equations, which is a unique approach that is not offered
in other literature on the topic.
In order to demonstrate the application of mathematical methods to the biological sciences, the authors provide
focused examples from the field of theoretical ecology, which serve as an accessible context for study while also
demonstrating mathematical skills that are applicable to many other areas in the lifesciences. The book's algorithms
are illustrated using MATLAB®, but can also be replicated using other software packages, including R, Mathematica®,
and Maple; however, the text does not require any single computer algebra package. Each chapter contains numerous
exercises and problems that range in difficulty, from the basic to more challenging, to assist readers with building
their problem-solving skills. Selected solutions are included at the back of the book, and a related Web site features
supplemental material for further study.
Extensively class-tested to ensure an easy-to-follow format, Mathematical Methods in Biology is an excellent book
for mathematics and biology courses at the upper-undergraduate and graduate levels. It also serves as a valuable
reference for researchers and professionals working in the fields of biology, ecology, and biomathematics.