- Mathematical Biology volumes 1 and 2, by James D. Murray,
2004.
0387952233,
PSU Library,
or
,
0387952284,
PSU Library,
or
- Elements of Mathematical Ecology, by Mark Kot, 2000.
0521001501,
PSU Library,
or
- An Introduction to Population Ecology, by G. E. Hutchinson,
1978.
0300021550,
PSU Library,
or
- Theoretical Ecology: Principles and Applications, edited by
R. M. May, 1976. (the 1976 version is my favorite)
- Theoretical Evolutionary Genetics, by Joe Felsenstein, 2003+
FREE!
- Mathematical Bioeconomics by Colin W. Clark, 1976.
0471751529,
PSU Library,
or
- Mathematical Epidemiology, Lecture Notes in Mathematics,
edited by Fred Brauer, Pauline van den Driessche, and
Jianhong Wu, 2008.
3540789103,
PSU Library,
or
- Matrix Population Models, by Hal Caswell, 2006.
0878930965,
PSU Library,
or
- Theoretical Evolutionary Ecology by Michael Bulmer, 1994.
0878930787,
PSU Library,
or
- The Evolution of Life Histories by Stephen C. Stearns, 2004.
978-0198577416,
PSU Library,
or
- Stochastic Models in Biology, by Narendra S. Goel and Nira
Richter-Dyn, 1974.
193066592X,
PSU Library,
or
- Stochastic Population Models, by James H. Matis and Thomas
R. Kiffe, 2000.
038798657X,
PSU Library,
or
- Modelling Biological Populations in Space and Time, by
Eric Renshaw, 1991.
0521448557,
PSU Library,
or
- The Natural Selection of Populations and Communities by
David Sloan Wilson, 1980.
- Evolutionary Games and Population Dynamics by Josef Hofbauer
and Karl Sigmund, 1998.
052162570X,
PSU Library,
or
- Mathematical Ecology of Populations and Ecosystems
by John Pastor, 2008.
978-1405177955,
PSU Library,
or
- Encyclopedia of Theoretical Ecology,
edited by Alan Hastings and Louis Gross, 2012.
9780520269651,
PSU Library,
or
- Foundations of Mathematical Neuroscience
by Bard Ermentrout and David Terman
FREE
- Mathematical Physiology: I and II by James Keener and James Sneyd, 2008.
0387758461,
PSU Library,
or
- Modeling and Simulation in Medicine and the Life Sciences by
Frank C. Hoppensteadt and Charles Peskin, 2004.
0387950729,
PSU Library,
or

There are a few books that are older, and were outside the scope of my education until my perspective was already formed. Some of these rarely mentioned these days but good and interesting for both their content and the historical perspective that content provides.

- Models in Biology, by D. Brown and P. Rothery, 1993.
(A great book with a unique fusion of modelling and
statistics - should have been a classic in the field.)
0471933228,
PSU Library,
or
- Mathematical Models in Biology by Leah Edelstein-Keshet, 1988.
(This was one of the first books to synthesize a dynamical-systems
perspective on mathematical biology. A classic, as SIAM points out.)
0898715547,
PSU Library,
or
- Modelling Fluctuating Populations by Nisbet and Gurney, 1982.
0471280585,
PSU Library,
or
- Mathematical Biophysics by N. Rashevsky, 1948.
(An ambitious analysis of cells, nerves, locomotion, scaling
laws, and boolean networks before the discovery of DNA)

In addition, there are a number of books in other fields I have found valuable.

- Public Investment, the Rate of Return, and Optimal Fiscal Policy,
by Kenneth J. Arrow and Mordecai Kurz, 1970.
This is an economics book, but the techniques inspire a number of
connections to mathbio.
978-0801811241,
PSU Library,
or
- The Feynman lectures on physics, by Richard Feynman, 1970.
978-0201021158,
PSU Library,
or
- Governing the Commons: The Evolution of Institutions for Collective Action
by Elinor Ostrom, 1990.
978-0521405997,
PSU Library,
or
- Dynamic Programming and Markov Processes,
Ronald A. Howard,
1960. The first book and my preferred introduction to Markov decision
processes.
- The Theory of Branching Processes, by Theodore E. Harris, 1963.
This is a mathematics book, but a good historical starting point
for the study of stochastic, density-independent growth processes.
9783540029861,
PSU Library,
or
- Branching Processes by K. B. Athreya and P. E. Ney, 1972.
An in-depth study of multi-type processes.
- Multitype Branching Processes: Theory and Applications,
by Charles J. Mode, 1971.
This has some results that are missing from Harris and Athreya
having to do with spatial models.
- An introduction to probability theory and its applications,
William Feller, 1968.
- Introduction to the Mathematical Theory of Control,
by Alberto Bressan and Benedetto Piccoli, 2007.,
978-1601330024,
PSU Library,
or
- Interacting Particle Systems,
by Thomas M. Liggett, 1985.
978-3540226178,
PSU Library,
or
- Networks: An Introduction,
by Mark Newman, 2010.
978-0199206650,
PSU Library,
or

- Modeling the Dynamics of Life: Calculus and Probability for Life Scientists,
by Fred Adler, 2004.
978-0534404864,
PSU Library,
or
- A Biologist's Guide to Mathematical Modeling in Ecology and Evolution,
by Sarah P. Otto and Troy Day, 2007.
978-0691123448,
PSU Library,
or
- Mark Ridley's
Evolution
website has an interesting collection of free classic texts on evolutionary
biology.

Miscellaneous:

- The prevention of malaria in the
Federated Malay States : a record of twenty years'
progress
by Sir Malcolm Watson, 1921, is a phenomenal case study of
the challenges of learning and managing a complex system (In this case,
namely, malaria transmission). While the material itself is
a interesting historical tail for anybody interested in
public health management, the tome also offers a healthy
dose of pragmatism about the role of theory in practice.
- Ecological dynamics data on tribolium experiments.

2015-02-18