Numbers and Functions: Steps into Analysis

by R.P. Burn

The transition from studying calculus in schools to studying mathematical analysis at university is notoriously difficult. In this third edition of Numbers and Functions, Professor Burn invites the student reader to tackle each of the key concepts in turn, progressing from experience through a structured sequence of more than 800 problems to concepts, definitions and proofs of classical real analysis. The sequence of problems, of which most are supplied with brief answers, draws students into constructing definitions and theorems for themselves. This natural development is informed and complemented by historical insight. Carefully corrected and updated throughout, this new edition also includes extra questions on integration and an introduction to convergence. The novel approach to rigorous analysis offered here is designed to enable students to grow in confidence and skill and thus overcome the traditional difficulties.

Genres: Mathematics

376 pages, Kindle Edition

First published June 26, 1992

Reviews

[Darin · Rating 5 out of 5]

I'm using this book to prepare for a graduate-level analysis course. The author has chosen problems with the intent of building your learning step-by-step. Answers are included, so this book is great for self-study.

Note that I believe (and follow) the meanings Goodreads gives for what each number of stars means. Therefore, the majority of my ratings are 3 stars ("liked it").