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Mathematics for the life sciences : ...

Ledder, Glenn.

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

紀錄類型:	書目-語言資料,印刷品 : 單行本
副題名:	calculus, modeling, probability, and dynamical systems
作者:	LedderGlenn.,
出版地:	New York
出版者:	Springer;
出版年:	2013.
面頁冊數:	xx, 431 p.ill. : 26 cm.;
集叢名:	Springer undergraduate texts in mathematics and technology
標題:	Biology - Mathematical models. -
摘要註:	"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 biologicalcontexts, 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 readerswho 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 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 inmathematics 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."--Page 4 of cover.
ISBN:	9781493944521
內容註:	Pt I. Calculus and modeling : A brief summary of calculus ; Mathematical modeling Pt. II. Probability : Probability distributions ; Working with probability Pt. III. Dynamical systems : Dynamics of single populations ; Discrete dynamical systems ; Continuous dynamical systems Appendix A. Additional topics in discrete dynamical systems Appendix B. The definite integral via Riemann sums Appendix C. A Runge-Kutta method fornumerical solution of differential equations Hints and answersto selected problems.

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

Mathematics for the life sciences : calculus, modeling, probability, and dynamical systems / Glenn Ledder. - New York : Springer, 2013.. - xx, 431 p. ; ill. ; 26 cm.. - (Springer undergraduate texts in mathematics and technology).
Pt I. Calculus and modeling : A brief summary of calculus ; Mathematical modeling.
Includes bibliographical references and index..
ISBN 9781493944521ISBN 9781461472766ISBN 1461472768ISBN 1493944525
Biology -- Mathematical models.

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