**Groups and Symmetries: From Finite Groups to Lie Groups (Universitext)**The theory of group representations is a fundamental subject at the intersection of algebra, geometry and analysis, with innumerable applications in other domains of pure mathematics and in the physical sciences: chemistry, molecular biology and physics, in particular crystallography, classical and quantum mechanics and quantum field theory. ... | | **Linear Algebra and Geometry**
This book is the result of a series of lectures on linear algebra and the geometry of multidimensional spaces given in the 1950s through 1970s by Igor R. Shafarevich at the Faculty of Mechanics and Mathematics of Moscow State University.
Notes for some of these lectures were preserved in the faculty library, and these were used... | | **Games, Puzzles, and Computation**
The authors show that there are underlying mathematical reasons for why games and puzzles are challenging (and perhaps why they are so much fun). They also show that games and puzzles can serve as powerful models of computationâquite different from the usual models of automata and circuitsâoffering a new way of thinking about... |