This book is comprised of seven chapters and begins with an overview of fundamental ideas and assumptions relating to the field operations and the ordering of the real numbers, together with mathematical induction and upper and lower bounds ...
An Introduction to Mathematical Analysis provides detailed explanations and exhaustive proofs, and follows an axiomatic approach to presenting the material. The text assumes that the student has little background in...
A short introduction to the basic ideas of mathematical analysis, suitable as a course book for first year mathematics students at first-degree level.
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The book will be most useful to undergraduate students of mathematical analysis.
Some features of this work, such as why Dedekind completeness is necessary for ensuring that nonconstant functions cannot have derivative zero everywhere on an interval, irrationality of, evaluation of without using multiple integration are ...