## Introduction to Mathematics for Life ScientistsA few decades ago mathematics played a modest role in life sciences. Today, however, a great variety of mathematical methods is applied in biology and medicine. Practically every mathematical procedure that is useful in physics, chemistry, engineering, and economics has also found an important application in the life sciences. The past and present training of life scientists does by no means reflect this development. However, the impact ofthe fast growing number of applications of mathematical methods makes it indispensable that students in the life sciences are offered a basic training in mathematics, both on the undergraduate and the graduate level. This book is primarily designed as a textbook for an introductory course. Life scientists may also use it as a reference to find mathematical methods suitable to their research problems. Moreover, the book should be appropriate for self-teaching. It will also be a guide for teachers. Numerous references are included to assist the reader in his search for the pertinent literature. |

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### Contents

1 | |

Problems for Solution | 26 |

Sets and Symbolic Logic | 36 |

Problems for Solution | 55 |

Problems for Solution | 82 |

The Power Function and Related Functions | 90 |

Problems for Solution | 106 |

Problems for Solution | 139 |

Exponential and Logarithmic Functions II | 301 |

Ordinary Differential Equations | 334 |

Functions of Two or More Independent Variables | 381 |

Probability | 401 |

Problems for Solution | 463 |

Matrices and Vectors | 475 |

Problems for Solution | 531 |

Complex Numbers | 547 |

Problems for Solution | 165 |

Problems for Solution | 195 |

Limits | 202 |

Problems for Solution | 228 |

Differential and Integral Calculus | 234 |

Problems for Solution | 291 |

Problems for Solution | 569 |

Solutions to Odd Numbered Problems | 587 |

References | 610 |

623 | |

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alleles antiderivative antigen applied arithmetic mean assume average axis binomial distribution biological blood Calculate called cell common logarithm commutative law complex numbers consider constant corresponding coso Cramer's rule curve decreasing defined denote differential equation distribution domain event Example exponential function factor Find formula genotype genotypes AA geometric geometric sequence given graph growth rate Hence increase instance integral intersection interval inverse function limit logarithmic mathematical matrix means measured molecules monotone multiplication negative nomogram notation obtain oscillator outcome space plot Poisson distribution population power function probability problem quadratic quadratic equation quadratic function quantity radians random rate of change ratio real numbers result scale Section sequence shown in Fig slope solution Solve species straight line subset symbol tends to infinity tends to zero triangle variable vector velocity write