Multiple Integrals, A Collection of Solved Problems

A Collection of Solved Problems SeriesThese books teach by solving problems. Intended as companions to standard textbooks for calculus students, they help readers review and master what they've learned by showing them how to solve relevant problems. The first part of each section presents the definitions and theorems (without proofs) necessary for problem solving, and sometimes followed by comments or remarks. These definitions and theorems correspond to those given in most calculus textbooks, where all concepts and theorems are followed by explanations and proofs. The second part contains problems and complete solutions solved in such a simple way that the students find no difficulty to understand. They can be used as practicing study guides by students and as supplementary teaching sources by instructors. Since the problems have very detailed solutions, they are helpful for under-prepared students. Includes: Integration in Two Variables Double Integrals over Nonrectangular Regions Double Integrals in Polar Coordinates Applications of Double Integrals Surface Area Triple Integrals Triple Integrals in Cylindrical and Spherical Coordinates Change of Variables Applications of Triple IntegralsFeatures: a selection of more than 400 problems solutions are presented with attention to detail graphically illustrated throughout