Basic Analysis II:
A Modern Calculus in Many Variables
focuses on differentiation in R
n
and important concepts about mappings from R
to R
m
, such as the inverse and implicit function theorem and change of variable formulae for multidimensional integration. These topics converge nicely with many other important applied and theoretical areas which are no longer covered in mathematical science curricula. Although it follows on from the preceding volume, this is a self-contained book, accessible to undergraduates with a minimal grounding in analysis.
Features
Can be used as a traditional textbook as well as for self-study
Suitable for undergraduates in mathematics and associated disciplines
Emphasises learning how to understand the consequences of assumptions using a variety of tools to provide the proofs of propositions