ABSTRACT

Suitable for a one- or two-semester course, Advanced Calculus: Theory and Practice expands on the material covered in elementary calculus and presents this material in a rigorous manner. The text improves students' problem-solving and proof-writing skills, familiarizes them with the historical development of calculus concepts, and helps them unders

Sequences and Their Limits. Real Numbers. Continuity. The Derivative. The Indefinite Integral. The Definite Integral. Infinite Series. Sequences and Series of Functions. Fourier Series. Functions of Several Variables. Derivatives. Implicit Functions and Optimization. Integrals Depending on a Parameter. Integration in Rn. Fundamental Theorems. Solutions and Answers to Selected Problems. Bibliography. Index.