The Mathematics of Darwin’s Legacy

1. Preface
Fabio A. C. C. Chalub, José Francisco Rodrigues

2. What Changes Has Mathematics Made to the Darwinian Theory?
Warren J. Ewens

3. The Mathematics of Darwin’s Theory of Evolution: 1859 and 150 Years Later
Peter Schuster

4. Some Mathematical Models in Evolutionary Genetics
Reinhard Bürger

5. Extinction, Persistence, and Evolution
Peter Jagers

6. Group Theory in Homogeneous Populations (Rescuing Darwin from the mud)
Peter Taylor

7. Evolutionary Dynamics of Collective Action
Jorge M. Pacheco, Francisco C. Santos, Max O. Souza, Brian Skyrms

8. On Kin and Group Selection, and the Haystack Model
Vincent A. A. Jansen

9. Population Formulation of Adaptative Meso-evolution: Theory and Numerics
Sepideh Mirrahimi, Benoît Perthame, Emeric Bouin, Pierre Millien

10. Random Modeling of Adaptive Dynamics and Evolutionary Branching
Sylvie Méléard

11. Thoughts on the Geometry of Meso-evolution: Collecting Mathematical Elements for a Postmodern Synthesis
J. A. J. Hans Metz

12. When Do Optimisation Arguments Make Evolutionary Sense?
Mats Gyllenberg, J. A. J. Hans Metz, Robert Service

Keywords: Mathematics, Mathematical and Computational Biology, Genetics and Population Dynamics, Applications of Mathematics