1st Edition
by James K. Peterson (Author)
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
