Varying-Continuous Order Calculus

Author: Rao Gang
Publisher:
Publish Date: 2006-04-01
Features: The author weaves a unique mindset and concept throughout the book, understanding calculus through the dimensionality and variation of functions. He pioneers this field using a self-invented Chinese term "Dimension Variation" and its corresponding symbol. The book also specifically introduces the concept and methodology of complex space dimensionality, thereby truly interpreting "Dimension Variation" as a method that can geometrically transform the dimensionality of functions. The book discusses the expansion of irrational series and proposes the concept and methodology of continuous power spectra, describing some representative examples in practice. Among them, the "Cosmic Redshift Model without the Doppler Effect" serves as the author's best example of using this mathematical method to understand physical problems. The author believes that the relevant mathematical field is vast, with signs indicating that the research not only promotes mathematics but also has a significant driving effect on physics.