Bøger af Kristopher Tapp

Students from all majors will enjoy the many beautiful topics herein, and will come to better appreciate the powerful cumulative nature of mathematics as these topics are woven together into a single fascinating story about the ways in which objects can be symmetric.

Matrix groups touch an enormous spectrum of the mathematical arena. This textbook brings them into the undergraduate curriculum. It is concrete and example-driven, with geometric motivation and rigorous proofs. The story begins and ends with the rotations of a globe. In between, the author combines rigour and intuition to describe the basic objects of Lie theory.

Even better, a south-pointing chariot helps one visualize a parallel vector field along any curve in any surface. In truth, the most profound application of differential geometry is to modern physics, which is beyond the scope of this book.

Symmetry is an ideal topic for a one-semester math course for non-math majors, particularly in the humanities. This text encourages effective analytical thinking and exposes students to elegant mathematical ideas, with a number of visually expressed examples.