Fractal Vector Analysis: A Local Fractional Calculus Point of View

Fractal Vector Analysis: A Local Fractional Calculus Point of View provides an overview of fractal vector calculus, which includes local fractional line integrals, local fractional surface integrals, and local fractional volume integrals. The book presents an overview of key breakthroughs in classical calculus in vector spaces. Readers will gain a deeper understanding of some applications of local fractional calculus from the fractals point of view. Coverage will include double and triple local fractional integrals, as well as elliptic, parabolic and hyperbolic local fractional PDEs.

The potential audience includes, but is not limited to, researchers in the fields of mathematics, physics, and engineering. It could also be used as a textbook for an introductory course on fractal vector calculus and applications, for senior undergraduate and graduate students in the above-mentioned areas.

《分形向量分析：局部分數微積分觀點》提供了分形向量微積分的概述，其中包括局部分數線積分、局部分數面積積分和局部分數體積積分。該書概述了向量空間中古典微積分的關鍵突破。讀者將從分形的角度深入了解局部分數微積分的一些應用。內容將包括雙重和三重局部分數積分，以及橢圓、抛物線和雙曲線局部分數偏微分方程。

潛在的讀者包括但不限於數學、物理和工程領域的研究人員。它也可以作為一門介紹分形向量微積分及其應用的入門課程的教材，適用於上述領域的高年級本科生和研究生。