Undergraduate Lecture Notes in De Rham-Hodge Theory

2008/07/31 by Vladimir G. Ivancevic, Ivancevic, Vladimir G., Tijana T. Ivancevic +1 · 1 citation
Computer Science · Mathematics · #Computational Physics and Python Applications #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Mathematical and Theoretical Analysis #Probability and Statistical Research

paper · pdf · doi:10.48550/arxiv.0807.4991

openalex publication_date 2008/07/31 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Space-Time Approach to Non-Relativistic Quantum Mechanics
• Space-Time Approach to Quantum Electrodynamics

Cited by

• Quantization due to the time evolution, with applications to Quantum\n Yang-Mills theory, Quantum Gravity and Classical Statistical Field Theory

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