Friedman, Avner
Advanced Calculus
- ISBN 13:
- 9780486457956
- author:
- Friedman, Avner
- format:
- Paperback
- publisher:
- Dover Publications Inc.
- language:
- English
- Publication Year:
- 2007
- Pages:
- 432
- Dimensions:
- 21.1 x 13.5 x 2.3 cm
- Genre:
- Calculus
- Condition:
- New
- Availability:
- Item usually sent within 7 working days
Description
Advanced Calculus provides a rigorous two-part treatment of functions of one variable and those of several variables. Building on a foundation in elementary calculus, this text defers the introduction of functions of several variables for as long as possible, aiming to provide clarity and simplicity through a clear separation of heuristic and rigorous arguments.
The first part explores functions of one variable, including numbers and sequences, continuous functions, differentiable functions, integration, and sequences and series of functions. The second part examines functions of several variables: the space of several variables and continuous functions, differentiation, multiple integrals, and line and surface integrals, concluding with a selection of related topics.
Complete solutions to the problems appear at the end of the text, making this an ideal resource for students seeking a clear and structured approach to advanced calculus.