Erin N. Bodine, Suzanne Lenhart, Louis J. Gross. -- Princeton University Press, -- c2014. --

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ISBN 0691150729 (hardback)
ISBN13桁 9780691150727 (hardback)
テキストの言語 英語                  
分類:NDC10版 461.9
個人著者標目 Bodine, Erin N.
本タイトル Mathematics for the life sciences /
著者名 Erin N. Bodine, Suzanne Lenhart, Louis J. Gross.
出版地・頒布地 Princeton :
出版者・頒布者名 Princeton University Press,
出版年・頒布年 c2014.
数量 xx, 608 p. :
他の形態的事項 ill. (some col.) ;
大きさ 27 cm.
書誌注記 Includes bibliographical references (p. [557]-560) and index.
内容注記 Unit 1. Descriptive statistics. Basic descriptive statistics -- Visual display of data -- Bivariate data and linear regression -- Exponential and logarithmic functions -- Unit 2. Discrete time modeling. Sequences and discrete difference equations -- Vectors and matrices -- Matrix algebra -- Long-term dynamics or equilibrium -- Leslie Matrix models and Eigenvalues -- Unit 3. Probability. Probability of events -- Probability of compound events -- Conditional probability -- Sequential events -- Population genetics models -- Unit 4. Limits and continuity. Limits of functions -- Limits of continuous functions -- Unit 5. Derivatives. Rates of change -- Derivatives of functions -- Computing derivatives -- Using derivatives to find maxima and minima -- Unit 6. Integration. Estimating the area under a curve -- Antiderivatives and the fundamental theorem of calculus -- Methods of integration -- Applications of integrals to area and volume -- Probability in a continuous context -- Unit 7. Introduction to differential equations. Separation of variables -- Equilibria and limited population growth -- Implicit differentiation and related rates.
要約、抄録、注釈等 "The life sciences deal with a vast array of problems at different spatial, temporal, and organizational scales. The mathematics necessary to describe, model, and analyze these problems is similarly diverse, incorporating quantitative techniques that are rarely taught in standard undergraduate courses. This textbook provides an accessible introduction to these critical mathematical concepts, linking them to biological observation and theory while also presenting the computational tools needed to address problems not readily investigated using mathematics alone. Proven in the classroom and requiring only a background in high school math, Mathematics for the Life Sciences doesn't just focus on calculus as do most other textbooks on the subject. It covers deterministic methods and those that incorporate uncertainty, problems in discrete and continuous time, probability, graphing and data analysis, matrix modeling, difference equations, differential equations, and much more. The book uses MATLAB throughout, explaining how to use it, write code, and connect models to data in examples chosen from across the life sciences. Provides undergraduate life science students with a succinct overview of major mathematical concepts that are essential for modern biology, Covers all the major quantitative concepts that national reports have identified as the ideal components of an entry-level course for life science students, Provides good background for the MCAT, which now includes data-based and statistical reasoning Explicitly links data and math modeling, Includes end-of-chapter homework problems, end-of-unit student projects, and select answers to homework problems, Uses MATLAB throughout, and MATLAB m-files with an R supplement are available online Prepares students to read with comprehension the growing quantitative literature across the life sciences, Online answer key, solution guide, and illustration package (available to professors)"--
著者標目 Lenhart, Suzanne.
Gross, Louis J.
一般件名 Biology -- Mathematical models.
Mathematics.
資料情報1 『Mathematics for the life sciences /』 Erin N. Bodine, Suzanne Lenhart, Louis J. Gross. Princeton University Press, c2014. (所蔵館:中央  請求記号:F/461.9/B66/M  資料コード:7106226996)
URL https://catalog.library.metro.tokyo.lg.jp/winj/opac/switch-detail.do?lang=ja&bibid=1352016660