Examples and Theorems in Analysis

Preface
- Sequences
- Functions and Continuity
- Differentiation
- Constructive Integration
- Improper Integrals
- Series
- Applications
- Appendix A: Fubini's Theorem
- Appendix B: Hints and Solutions for Exercises
- References
- Index.

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 Móricz, 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 mathématique, 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)