Mathematics for the life sciences : calculus, modeling, probability, and dynamical systems
 Author/Creator
 Ledder, Glenn, author.
 Language
 English.
 Publication
 New York : Springer, 2013.
 Physical description
 xx, 431 pages : illustrations ; 27 cm.
 Series
 Springer undergraduate texts in mathematics and technology.
Access
Available online

Stacks

Unknown
QH323.5 .L43 2013

Unknown
QH323.5 .L43 2013
More options
Contents/Summary
 Bibliography
 Includes bibliographical references and index.
 Contents

 A Brief Summary of Calculus
 Mathematical Modeling
 Probability Distributions
 Working with Probability
 Dynamics of Single Populations
 Discrete Dynamical Systems
 Continuous Dynamical Systems.
 Summary
 Mathematics for the Life Sciences provides present and future biologists with the mathematical concepts and tools needed to understand and use mathematical models and read advanced mathematical biology books. It presents mathematics in biological contexts, focusing on the central mathematical ideas, and providing detailed explanations. The author assumes no mathematics background beyond algebra and precalculus. Calculus is presented as a onechapter primer that is suitable for readers who have not studied the subject before, as well as readers who have taken a calculus course and need a review. This primer is followed by a novel chapter on mathematical modeling that begins with discussions of biological data and the basic principles of modeling. The remainder of the chapter introduces the reader to topics in mechanistic modeling (deriving models from biological assumptions) and empirical modeling (using data to parameterize and select models). The modeling chapter contains a thorough treatment of key ideas and techniques that are often neglected in mathematics books. It also provides the reader with a sophisticated viewpoint and the essential background needed to make full use of the remainder of the book, which includes two chapters on probability and its applications to inferential statistics and three chapters on discrete and continuous dynamical systems. The biological content of the book is selfcontained and includes many basic biology topics such as the genetic code, Mendelian genetics, population dynamics, predatorprey relationships, epidemiology, and immunology. The large number of problem sets include some drill problems along with a large number of case studies. The latter are divided into stepbystep problems and sorted into the appropriate section, allowing readers to gradually develop complete investigations from understanding the biological assumptions to a complete analysis.
Subjects
Bibliographic information
 Publication date
 2013
 Responsibility
 Glenn Ledder.
 Series
 Springer undergraduate texts in mathematics and technology, 18675506
 ISBN
 9781461472759
 146147275X