Mathematical Analysis 2: Exercises Double and triple integrals (University Book 7)
Mathematical Analysis 2: Exercises Double and triple integrals (University Book 7)
English | May 17, 2025 | ASIN: B0F92WNN4S | 131 pages | PDF | 2.49 MB
English | May 17, 2025 | ASIN: B0F92WNN4S | 131 pages | PDF | 2.49 MB
The study of double and triple integrals represents a crucial step in mathematical analysis for university courses in mathematics, physics, and engineering. This book was created with the aim of providing effective support in exam preparation, through a collection of mixed and original exercises, solved step by step, with detailed explanations and targeted comments. The topics covered include: the calculation of double integrals over rectangular and general domains, change of variables, polar coordinates, computation of areas and volumes, triple integrals in Cartesian, cylindrical, and spherical coordinates, as well as geometric and physical applications. The structure of the book is designed to encourage active learning: the first chapter presents the exercise statements, the second provides the results, and the third offers the complete solutions with detailed step-by-step explanations. It is recommended that readers attempt to solve the exercises independently, then compare their results and carefully follow the explanations in case of mistakes or uncertainties.