Basic Analysis I: Functions of a Real Variable is designed for
students who have completed the usual calculus and ordinary
differential equation sequence and a basic course in linear
algebra. This is a critical course in the use of abstraction, but
is just first volume in a sequence of courses which prepare
students to become practicing scientists. This book is written with
the aim of balancing the theory and abstraction with clear
explanations and arguments, so that students who are from a variety
of different areas can follow this text and use it profitably for
self-study. It can also be used as a supplementary text for anyone
whose work requires that they begin to assimilate more abstract
mathematical concepts as part of their professional growth.
Features Can be used as a traditional textbook as well as for
self-study Suitable for undergraduate mathematics students, or for
those in other disciplines requiring a solid grounding in
abstraction 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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