This book teaches by solving problems. It is intended as a companion to standard textbooks for calculus students in learning sequences and infinite series. 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 ...

A Collection of Solved Problems Series These 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 textb...

An introduction to vector calculus with the aid of Mathematica® computer algebra system to represent them and to calculate with them. The unique features of the book, which set it apart from the existing textbooks, are the large number of illustrative examples. It is the author’s opinion a novice in science or engineering needs to see a lot of examples in which mathematics is used to be able to “speak the language.” All these examples and all illustrations can be replicated and used to lea...