- Main
- Mathematics - Applied Mathematics
- Modeling Life. The Mathematics of...
Modeling Life. The Mathematics of Biological Systems
Alan Garfinkel, Jane Shevtsov, Yina GuoThis book develops the mathematical tools essential for students in the life sciences to describe interacting systems and predict their behavior. From predator-prey populations in an ecosystem, to hormone regulation within the body, the natural world abounds in dynamical systems that affect us profoundly. Complex feedback relations and counter-intuitive responses are common in nature; this book develops the quantitative skills needed to explore these interactions.
Differential equations are the natural mathematical tool for quantifying change, and are the driving force throughout this book. The use of Euler's method makes nonlinear examples tractable and accessible to a broad spectrum of early-stage undergraduates, thus providing a practical alternative to the procedural approach of a traditional Calculus curriculum. Tools are developed within numerous, relevant examples, with an emphasis on the construction, evaluation, and interpretation of mathematical models throughout. Encountering these concepts in context, students learn not only quantitative techniques, but how to bridge between biological and mathematical ways of thinking.Examples range broadly, exploring the dynamics of neurons and the immune system, through to population dynamics and the Google PageRank algorithm. Each scenario relies only on an interest in the natural world; no biological expertise is assumed of student or instructor. Building on a single prerequisite of Precalculus, the book suits a two-quarter sequence for first or second year undergraduates, and meets the mathematical requirements of medical school entry. The later material provides opportunities for more advanced students in both mathematics and life sciences to revisit theoretical knowledge in a rich, real-world framework. In all cases, the focus is clear: how does the math help us understand the science?
该文件将通过电报信使发送给您。 您最多可能需要 1-5 分钟才能收到它。
注意:确保您已将您的帐户链接到 Z-Library Telegram 机器人。
该文件将发送到您的 Kindle 帐户。 您最多可能需要 1-5 分钟才能收到它。
请注意:您需要验证要发送到Kindle的每本书。检查您的邮箱中是否有来自亚马逊Kindle的验证电子邮件。