Mathematics for the life sciences calculus, modeling, probability, and dynamical systems Glenn Ledder

Format:

Book

Author/Creator:

Ledder, Glenn, author.

Series:

Springer undergraduate texts in mathematics and technology 1867-5506

Language:

English

Subjects (All):

Biology--Mathematical models.

Biology.

Physical Description:

1 online resource

Place of Publication:

New York Springer 2013

Language Note:

English

System Details:

text file

PDF

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 one-chapter 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 self-contained and includes many basic biology topics such as the genetic code, Mendelian genetics, population dynamics, predator-prey 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 step-by-step problems and sorted into the appropriate section, allowing readers to gradually develop complete investigations from understanding the biological assumptions to a complete analysis

Contents:

Calculus and Modeling. A Brief Summary of Calculus Glenn Ledder Mathematical Modeling Glenn Ledder Probability. Probability Distributions Glenn Ledder Working with Probability Glenn Ledder Dynamical Systems. Dynamics of Single Populations Glenn Ledder Discrete Dynamical Systems Glenn Ledder Continuous Dynamical Systems

Notes:

Includes bibliographical references and index

Online resource; title from PDF title page (SpringerLink, viewed September 3, 2013)

Other Format:

Printed edition:

ISBN:

9781461472766

1461472768

146147275X

9781461472759

OCLC:

857820531

Access Restriction:

Restricted for use by site license