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200 10$aMathematics for the Life Sciences $eCalculus, Modeling, Probability, and Dynamical Systems /$fby Glenn Ledder
205   $a1st ed. 2013.
210  1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2013.
215   $a1 online resource (443 p.)
225 1 $aSpringer Undergraduate Texts in Mathematics and Technology,$x1867-5506
300   $aDescription based upon print version of record.
311   $a1-4614-7275-X 
320   $aIncludes bibliographical references and index.
327   $aA Brief Summary of Calculus -- Mathematical Modeling -- Probability Distributions -- Working with Probability -- Dynamics of Single Populations -- Discrete Dynamical Systems -- Continuous Dynamical Systems. - Index.
330   $aMathematics for the Life Sciences provides present and future biologists with the mathematical concepts and tools needed to understand and use mathematical models and read advanced mathematical biology books. It presents mathematics in biological contexts, focusing on the central mathematical ideas, and providing detailed explanations. The author assumes no mathematics background beyond algebra and precalculus. Calculus is presented as a one-chapter primer that is suitable for readers who have not studied the subject before, as well as readers who have taken a calculus course and need a review. This primer is followed by a novel chapter on mathematical modeling that begins with discussions of biological data and the basic principles of modeling. The remainder of the chapter introduces the reader to topics in mechanistic modeling (deriving models from biological assumptions) and empirical modeling (using data to parameterize and select models). The modeling chapter contains a thorough treatment of key ideas and techniques that are often neglected in mathematics books. It also provides the reader with a sophisticated viewpoint and the essential background needed to make full use of the remainder of the book, which includes two chapters on probability and its applications to inferential statistics and three chapters on discrete and continuous dynamical systems. The biological content of the book is self-contained and includes many basic biology topics such as the genetic code, Mendelian genetics, population dynamics, predator-prey relationships, epidemiology, and immunology. The large number of problem sets include some drill problems along with a large number of case studies. The latter are divided into step-by-step problems and sorted into the appropriate section, allowing readers to gradually develop complete investigations from understanding the biological assumptions to a complete analysis.
410  0$aSpringer Undergraduate Texts in Mathematics and Technology,$x1867-5506
606   $aBiomathematics
606   $aLife sciences
606   $aDynamics
606   $aErgodic theory
606   $aMathematical and Computational Biology$3https://scigraph.springernature.com/ontologies/product-market-codes/M31000
606   $aLife Sciences, general$3https://scigraph.springernature.com/ontologies/product-market-codes/L00004
606   $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X
615  0$aBiomathematics.
615  0$aLife sciences.
615  0$aDynamics.
615  0$aErgodic theory.
615 14$aMathematical and Computational Biology.
615 24$aLife Sciences, general.
615 24$aDynamical Systems and Ergodic Theory.
676   $a570.15118
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