We refer to the system commonly called clifford algebra, though we prefer the name geometric algebm suggested by clifford himself. Clifford algebra to geometric calculus a unified language for mathematics and physics. A unified language for mathematics and physics article pdf available in american journal of physics 535. David hestenes tutorial on geometric calculus youtube. Geometric calculus is a language for expressing and analyzing the full range of geometric concepts in mathematics. Hypercomplex algebra, hypercomplex analysis, geometry, science, engineering. Complex numbers, quaternions, matrix algebra, vector, tensor and spinor calculus and differential forms are integrated into. Clifford algebra to geometric calculus a unified language for. Matrix algebra has been called the arithmetic of higher mathematics be. Matrix algebra has been called the arithmetic of h. See discussions, stats, and author profiles for this publication at. A unified language for mathematics and physics fundamental theories of physics. Geometric algebra in 2d fundamentals and another look at complex numbers duration. Clifford algebra to geometric calculus by david hestenes, garret sobczyk, 1984, d.