Multiple Integrals in Calculus: Improper Integrals, Line Integrals, Surface Integrals

The book consists of eight chapters, each focusing on different aspects of multiple integrals and related topics in mathematical analysis.
In Chapter 1, multiple integrals are defined and developed. The Jordan measure in n-dimensional unit balls is introduced, along with the definition and criteria for multiple integrals, as well as their properties.
Chapter 2 delves into advanced techniques for computing multiple integrals. It introduces the Taylor formula, discusses linear maps on measurab...