This book adopts a practical, example-led approach to mathematical analysis that shows both the usefulness and limitations of the results. A number of applications show what the subject is about and what can be done with it; the applications in Fourier theory, distributions and asymptotics show how the results may be put to use.
This book adopts a practical, example-led approach to mathematical analysis that shows both the usefulness and limitations of the results. A number of applications show what the subject is about and what can be done with it; the applications in Fourier theory, distributions and asymptotics show how the results may be put to use. Exercises at the end of each chapter, of varying levels of difficulty, develop new ideas and present open problems.
From the reviews:
This book is a unique and very practical contribution to the teaching of calculus ... . The aim of this book is to try to give the subject concreteness and immediacy by giving the well-chosen examples equal status with the theorems. ... this excellent book is written primarily for first- and second-year undergraduates in mathematics; but it will also be of interest to students of statistics, computer science and engineering ... . We warmly recommend it as an entertaining and stimulating companion ... (Ferenc Moricz, Acta Scientiarum Mathematicarum, 71, 2005)
This book takes a unique and very practical approach to mathematical analysis. It makes the subject more accessible by giving the examples equal status with the theorems. ... A number of applications show what the subject is about, and what can be done with it ... . Exercises at the end of each chapter, of varying levels of difficulty, develop new ideas and present open problems. (L'enseignement mathematique, 50:1-2, 2004)
The author presents a book on analysis in which theorems and examples are equally important. ... It is a good textbook for students ... to obtain a more complete picture of the material and to master basic methods of work in mathematical analysis. (EMS Newsletter, March, 2005)