A First Course in Mathematical Analysis [Paperback]

This course is intended for students who have acquired a working knowledge of the calculus and are ready for a more systematic treatment.This course is intended for students who have acquired a working knowledge of the calculus and are ready for a more systematic treatment which also brings in other limiting processes, such as the summation of infinite series and the expansion of trigonometric functions as power series.This course is intended for students who have acquired a working knowledge of the calculus and are ready for a more systematic treatment which also brings in other limiting processes, such as the summation of infinite series and the expansion of trigonometric functions as power series.This straightforward course based on the idea of a limit is intended for students who have acquired a working knowledge of the calculus and are ready for a more systematic treatment which also brings in other limiting processes, such as the summation of infinite series and the expansion of trigonometric functions as power series. Particular attention is given to clarity of exposition and the logical development of the subject matter. A large number of examples is included, with hints for the solution of many of them.Preface; 1. Numbers; 2. Sequences; 3. Continuous functions; 4. The differential calculus; 5. Infinite series; 6. The special functions of analysis; 7. The integral calculus; 8. Functions of several variables; Notes on the exercises; Index.'Books of this quality are rare enough to be hailed enthusiastically & Essentially an introductory book for the mathematics specialist. But it is so fresh in conception and so lucid in style that it will appeal to anyone who has a general interest in mathematics.' The Times Educational Supplement'This is an excellent book & If I were teaching a course for honours students of the type described, this book would rank high as a possible choice of text.' Canadian Mathematical Bulletin' & it is a pleasure to be able to welcome a ls’