Mathematics for the life sciences : calculus, modeling, probability, and dynamical systems /

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Bibliographic Details
Author / Creator:Ledder, Glenn, author.
Imprint:New York : Springer, 2013.
Description:1 online resource (xx, 431 pages) : illustrations.
Language:English
Series:Springer undergraduate texts in mathematics and technology, 1867-5506
Springer Undergraduate Texts in Mathematics and Technology,
Subject:
Format: E-Resource Book
URL for this record:http://pi.lib.uchicago.edu/1001/cat/bib/9852453
Hidden Bibliographic Details
ISBN:9781461472766 (electronic bk.)
1461472768 (electronic bk.)
9781461472759
Notes:Includes bibliographical references and index.
Description based on online resource; title from PDF title page (SpringerLink, viewed September 3, 2013).
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.
Standard no.:10.1007/978-1-4614-7276-6
Review by Choice Review

It is a cliche that biology has now become a mathematical science. The question facing mathematics and biology departments is what mathematics should be taught to undergraduates. Some believe that biology students should take the same calculus course as other science students. Others would start students with discrete mathematics and computational models. Those with a traditional view hold that mathematics scares students and would push for a mathematics course that stresses the applications of mathematics to biology. Ledder (Univ. of Nebraska-Lincoln) opts for the traditional view, choosing to cover the applicable areas of "calculus, modeling, probability, and dynamical systems," as the subtitle indicates. He does a superb job of explaining these techniques in a mere 400 pages. To do so, he has to suppress proofs and complicating details. The examples and problems are drawn from the biological modeling literature with an eye to simplicity and to the explication of the mathematical technique being discussed. The author's website also includes suggestions for using computer mathematical packages like Maple and his BUGBOX simulator. This is an ideal text for novice students, enabling them to learn techniques that have immediate applicability. The section on modeling will, hopefully, answer the question, "Why should I study mathematics?" Summing Up: Highly recommended. Lower-division undergraduates. P. Cull Oregon State University

Copyright American Library Association, used with permission.
Review by Choice Review