Preface

Roughly speaking, analysis covers more than half of the whole of mathematics. It includes the topics following the limit operation and provides a strong basis for applications of mathematics. Its starting part in the educational process, mathematical analysis, deals with the issues concentrated around continuity.

Many books have been written on mathematical analysis. The list includes a wide spectrum of topics from differential and integral calculus for engineers to the highest mathematical standards such as the books Treatise on Modern Analysis by Dieudonne1 and Principles of Mathematical Analysis by Rudin.2 This book occupies a wide range in this spectrum. Its narrower audience includes those who are more or less familiar with differential ...

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