Numbers and Functions

by Robert 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

374 pages, Paperback

First published January 31, 2015

Reviews

[Qing Chang · Rating 4 out of 5]

I read this as a complementary source for my Numbers and Sets course. Very clear structure and good examples for revision though time is spent a lot on keeping turning over pages to read the comments. Also like the history part.