From rings to modules to groups to fields, this undergraduate introduction to abstract algebra follows an unconventional ... standard results on field extensions, and the Fundamental Theorem of Galois ...

Concepts covered in this course include: standard functions and their graphs, limits, continuity, tangents, derivatives, the definite integral, and the fundamental theorem of calculus ... to take ...

a fundamental principle of geometry, using trigonometry. Many mathematicians over the years have proved the theorem using algebra and geometry. For thousands of years, a proof using trigonometry ...