Basic Analysis II: A Modern Calculus in Many Variables focuses on
differentiation in Rn and important concepts about mappings from Rn
to Rm, 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
General
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