Undergraduate Lecture Notes in De Rham-Hodge Theory

Details Undergraduate Lecture Notes in De Rham-Hodge Theory Undergraduate Lecture Notes in De Rham-Hodge Theory

2008-07-31

arxiv.org/abs/0807.4991v4

Mathematics

Differential Geometry

28 pages, 4 figures, aded a new quantum section, minor corrections

Scientific paper

These lecture notes in the De Rham-Hodge theory are designed for a 1-semester undergraduate course (in mathematics, physics, engineering, chemistry or biology). This landmark theory of the 20th Century mathematics gives a rigorous foundation to modern field and gauge theories in physics, engineering and physiology. The only necessary background for comprehensive reading of these notes is Green's theorem from multivariable calculus.

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