A concise but rigorous textbook for advanced undergraduate and graduate students across the biological sciences that provides a foundation for understanding the methods used in quantitative biology.
Biology has turned into a quantitative science. The core problems in the life sciences today involve complex systems that require mathematical expression, yet most biologists are untrained in this dimension of the discipline. Bridging that gap, this practical textbook equips students to integrate advanced mathematical concepts with their biological education. Mathematics in Biology covers three broad subjects – linear algebra, probability and statistics, and dynamical systems – each treated at three levels: basic principles, advanced topics, and applications. Motivations and examples are drawn from diverse areas of study, while end-of-chapter exercises encourage creative applications. Based on nearly two decades of teaching at Harvard and Caltech, this rigorous but concise text provides an essential foundation for understanding the methods used in quantitative biology.
- Proven in the classroom
- Suitable for advanced undergraduate and graduate students across the biological sciences
- Offers accompanying online materials including code and solved exercises
Markus Meister is Anne P. and Benjamin F. Biaggini Professor of Biological Sciences at Caltech.
Kyu Hyun Lee is a postdoctoral fellow in neurobiology at the University of California, San Francisco.
Ruben Portugues is Assistant Professor in the Institute of Neuroscience at the Technical University of Munich.
"Compact and elegant. Particularly welcome are straightforward discussions of filtering and other signal processing, optimal estimation, and fold change detection, all of which are hard to find in an accessible presentation at this level."
– Philip Nelson, Professor of Physics, University of Pennsylvania; author of Physical Models of Living Systems: Probability, Simulation, Dynamics, second edition
"This fun, interesting, and insightful book represents a creative reimagining of how to teach mathematics not only to biologists but to natural scientists more broadly. The authors provide a clear and no-nonsense approach to many, many topics that one needs to know in order to engage with using mathematics in the natural sciences. I will undoubtedly come back to this book again and again."
– Rob Phillips, Fred and Nancy Morris Professor of Biophysics, Biology, and Physics, California Institute of Technology; author of Physical Biology of the Cell
"The tools of mathematical analysis are of increasing importance for the study of biological systems. This excellent book puts these tools directly into the hands of its readers. Read it and start using them."
– Larry Abbott, William Bloor Professor of Theoretical Neuroscience, Columbia University; coauthor of Theoretical Neuroscience
"This book serves up an appetizer menu of a 'quantitative minimum' for budding biologists of all ilks, with flavorful applications across scales, from optimal filtering and estimation to neural dynamics."
– L. Mahadevan, de Valpine Professor of Applied Mathematics, Physics and Organismic and Evolutionary Biology, Harvard University
"Mathematics is the language of proteins, cells, and tissues as it is of atoms, circuits, and stars. In this essential book, Meister, Lee, and Portugues empower all biologists to use that language to understand the living world."
– Michael B. Elowitz, Synthetic Biologist and Roscoe Gilkey Dickinson Professor, Caltech; Investigator, Howard Hughes Medical Institute