000 04014cam a22003857i 4500
001 17746105
005 20150907150623.0
008 130521s2013 nyua b 001 0 eng
010 _a 2013940917
020 _a9781461472759
020 _a146147275X (hbk : acidfree paper)
020 _z9781461472766 (eBook)
035 _a(OCoLC)ocn862846975
040 _aAU@
_beng
_cAU@
_erda
_dOCLCO
_dBTCTA
_dYDXCP
_dOHS
_dMUU
_dDLC
042 _alccopycat
050 0 0 _aQH323.5
_b.L393 2013
082 0 4 _a570.15118
_223
100 1 _aLedder, Glenn,
245 1 0 _aMathematics for the life sciences :
_bcalculus, modeling, probability, and dynamical systems /
_cGlenn Ledder.
260 _c2013
300 _axx, 431 pages :
_billustrations ;
_c27 cm.
490 1 _aSpringer undergraduate texts in mathematics and technology,
_x1867-5506
504 _aIncludes bibliographical references and index.
505 0 _aA brief summary of calculus -- Mathematical modeling -- Probability distributions -- Working with probability -- 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 for numerical solution of differential equations -- Hints and answeres to selected problems.
520 _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.
650 0 _aBiology
_xMathematical models.
830 0 _aSpringer undergraduate texts in mathematics and technology.
856 4 2 _3Contributor biographical information
_uhttp://www.loc.gov/catdir/enhancements/fy1412/2013940917-b.html
856 4 2 _3Publisher description
_uhttp://www.loc.gov/catdir/enhancements/fy1412/2013940917-d.html
856 4 1 _3Table of contents only
_uhttp://www.loc.gov/catdir/enhancements/fy1412/2013940917-t.html
906 _a7
_bcbc
_ccopycat
_d2
_encip
_f20
_gy-gencatlg
942 _2ddc
_cLIBRO
955 _brl02 2014-05-23 z-processor
_irl02 2014-09-22 to CALM
_arl11 2014-09-23 (rev)
_arl02 2014-09-22 discard copy 2
955 _apc17 2013-05-21
_arl00 2013-11-21 to SMA
999 _c959